[0001] The present invention relates to a hearing aid with an adaptive filter for suppression
of acoustic feedback in the hearing aid.
[0002] It is well known in the art of hearing aids that acoustic feedback may lead to generation
of undesired acoustic signals which can be heard by the user of a hearing aid.
[0003] Acoustic feedback occurs when the input transducer of a hearing aid receives and
detects the acoustic output signal generated by the output transducer. Amplification
of the detected signal may lead to generation of a stronger acoustic output signal
and eventually the hearing aid may oscillate.
[0004] It is well known to include an adaptive filter in the hearing aid to compensate for
acoustic feedback. The adaptive filter estimates the transfer function from output
to input of the hearing aid including the acoustic propagation path from the output
transducer to the input transducer. The input of the adaptive filter is connected
to the output of the hearing aid and the output signal of the adaptive filter is subtracted
from the input transducer signal to compensate for the acoustic feedback. A hearing
aid of this type is disclosed in
US 5,402,496.
[0005] In such a system, the adaptive filter operates to remove correlation from the input
signal, however, signals representing speech and music are signals with significant
auto-correlation. Thus, the adaptive filter cannot be allowed to adapt too quickly
since removal of correlation from signals representing speech and music will distort
the signals, and such distortion is of course undesired. Therefore, the convergence
rate of adaptive filters in known hearing aids is a compromise between a desired high
convergence rate that is able to cope with sudden changes in the acoustic environment
and a desired low convergence rate that ensures that signals representing speech and
music remain undistorted.
[0006] The lack of speed of adaptation may still lead to generation of undesired acoustic
signals due to acoustic feedback. Generation of undesired acoustic signals is most
likely to occur at frequencies with a high feedback loop gain. The loop gain is the
attenuation in the acoustic feedback path multiplied by the gain of the hearing aid
from input to output.
[0007] Acoustic feedback is an important problem in known CIC hearing aids (CIC =
complete
in the
canal) with a vent opening since the vent opening and the short distance between the
output and the input transducers of the hearing aid lead to a low attenuation of the
acoustic feedback path from the output transducer to the input transducer, and the
short delay time maintains correlation in the signal.
[0008] Various measures are well known in the art to cope with acoustic feedback. For example,
it is well known to keep the loop gain below a certain limit in order to prevent generation
of feedback resonance. It is also known to adjust the phase of the feedback signal,
to perform a frequency transpose, and to compensate for the feedback signal.
[0009] Typically, the acoustic environment of the hearing aid changes over time, and often
changes rapidly over time, in such a way that propagation of sound from the output
transducer of the hearing aid to its input transducer changes drastically. For example,
such changes may be caused by changes in position of the user in a room, e.g. from
a free field position in the middle of the room to a position close to a wall that
reflects sound. Changes may also be generated if the user yawns or if the user puts
the receiver of a telephone to the ear. Such changes, some of which may be almost
instantaneous, are known to involve changes in attenuation of the feedback path of
more than 20 dB.
[0010] It is known to keep the loop gain below a safe limit by limiting the gain adjustment
in the hearing aid to a maximum allowable gain based on experience. However, a large
safety margin is needed to cope with the above-mentioned variations in the acoustic
environment and with variations in physical fitting of the hearing aid to the wearer.
It is also known to determine the maximum allowable gain during fitting of the hearing
aid to a specific user. However, a large safety margin is still needed. The safety
margin prevents the capabilities of the hearing aid to be fully exploited, such as
in situations where the gain could be adjusted to a value that is higher than the
maximum allowable gain without generation of undesired sounds.
[0011] In order to be able to compensate for a severe hearing deficiency, it is desirable
to be able to set a high gain in the hearing aid. However, the risk of generating
oscillation, also denoted feedback resonance, restricts the maximum gain that may
be employed, even in situations with a high attenuation in the acoustic feedback path.
[0012] In
DE-A-19802568 and
US 5,016,280, a hearing aid is disclosed including a measuring system for determining the characteristics
of the acoustic feedback path. A test signal is transmitted through the system in
order to determine the characteristics of the feedback path.
[0013] In
DE-A-19802568 the coefficients in a digital filter is determined based on the impulse response
of the feedback path, and in
US 5,016,280 the filter coefficients of an adaptive compensation filter is calculated using a
leaky LMS algorithm operating on white-noise signals transmitted through the feedback
path.
[0014] The respective measuring systems are rather complicated and the duration of the determination
is relatively long, and the normal function of the hearing aid is interrupted during
the determination. Thus, the determination is performed at certain occasions only,
e.g. when the user switches the hearing aid on. Thus, still, a relatively high safety
margin for the gain is needed to cope with changes in the acoustic environment between
determinations.
[0015] In
US 5,619,580 a hearing aid with an adaptive filter and a continuously operating measuring system
is disclosed. A pseudo random noise signal is injected into the output signal. A monitoring
system controls the gain of the hearing aid so that the loop-gain is kept below a
constant value which may be frequency dependent. The filter coefficients of the adaptive
filter are monitored and their update rate is adjusted according to a statistical
analysis which complicates the system. It is another disadvantage of the system that
a noise generator is needed and that the generated noise signal is always present.
Moreover, the system increases the adaptation rate and thus deteriorates the signal
quality when a change in acoustic environment is detected also in situations where
the hearing aid is not operating close to resonance.
[0016] Thus, there is a need for an improved hearing aid that overcomes the above-mentioned
disadvantages and substantially eliminates the requirement of a gain safety margin
so that the operating gain in certain acoustic environments can be higher than for
known hearing aids.
[0017] According to a first aspect of the invention, these and other objects are fulfilled
by a method of suppressing acoustic feedback in a hearing aid, comprising the steps
of: transforming an acoustic input signal into a first electrical signal, dividing
the first electrical signal into a set of bandpass filtered first electrical signals,
processing each of the bandpass filtered first electrical signals individually, adding
the processed electrical signals into a second electrical signal, transforming the
second electrical signal into an acoustic output signal, dividing the second electrical
signal into a set of bandpass filtered second electrical signals, estimating acoustic
feedback by generation of third electrical signals by adaptive filtering of the bandpass
filtered second electrical signals and adapting the filtered signals to respective
signals on the input side of the processor with respective first convergence rates,
and compensating for acoustic feedback by determining a first parameter of an acoustic
feedback loop of the hearing aid, and adjusting a second parameter of the hearing
aid in response to the first parameter whereby generation of undesired sounds, such
as howling, signal distortion, etc, is substantially avoided. According to a second
aspect of the invention, these and other objects are fulfilled by a hearing aid with
an adaptive filter for compensation of acoustic feedback. The adaptive filter operates
to estimate the transfer function from output to input of the hearing aid including
the acoustic propagation path from the output transducer to the input transducer.
The input of the adaptive filter is connected to the electric output of the hearing
aid and the output signal of the adaptive filter may be subtracted from the input
transducer signal to compensate for the acoustic feedback. The hearing aid further
comprises an input transducer for transforming an acoustic input signal into a first
electrical signal, a first filter bank with bandpass filters for dividing the first
electrical signal into a set of bandpass filtered first electrical signals, a processor
for generation of a second electrical signal by individual processing of each of the
bandpass filtered first electrical signals and adding the processed electrical signals
into the second electrical signal, and an output transducer for transforming the second
electrical signal into an acoustic output signal. The hearing aid may also comprise
a second filter bank with bandpass filters for dividing the second electrical signal
into a set of bandpass filtered second electrical signals, a first set of adaptive
filters with first filter coefficients for estimation of acoustic feedback by generation
of third electrical signals by filtering of the bandpass filtered second electrical
signals and adapting the respective third signals to respective signals on the input
side of the processor with respective first convergence rates.
[0018] It is a characteristic feature of the hearing aid that it further comprises a controller
that is adapted to compensate for acoustic feedback by determination of a first parameter
of an acoustic feedback loop of the hearing aid and adjustment of a second parameter
of the hearing aid in response to the first parameter whereby generation of undesired
sounds is substantially avoided.
[0019] It is an important advantage of the present invention that the requirement of a gain
safety margin is significantly reduced since the controller automatically adjusts
a parameter of the electronic feedback loop whenever the hearing aid operates with
a high risk of generating undesired sounds so that such generation is substantially
avoided.
[0020] In the following, the frequency ranges of the bandpass filters are also denoted channels.
[0021] In a simple embodiment of the invention, the hearing aid is a single channel hearing
aid, i.e. the hearing aid processes incoming signals in one frequency band only. Thus,
the first filter bank consists of a single bandpass filter, and the single bandpass
filter may be constituted by the bandpass filter that is inherent in the electronic
circuit, i.e. no special circuitry provides the bandpass filter. Correspondingly,
the adding in the processor of processed electrical signals is reduced to the task
of providing the single processed electrical signal at the output of the processor.
Further, the second filter bank consists of a single bandpass filter, and the first
set of adaptive filters consists of a single adaptive filter.
[0022] Typically, hearing defects vary as a function of frequency in a way that is different
for each individual user. Thus, the processor is preferably divided into a plurality
of channels so that individual frequency bands may be processed differently, e.g.
amplified with different gains. Correspondingly, the hearing aid may comprise a first
set of adaptive filters with a plurality of adaptive filters for individual filtering
of signals in respective frequency bands whereby a capability of individually controlling
acoustic feedback in each channel of the hearing aid is provided. Preferably, the
frequency bands of the first set of adaptive filters are substantially identical to
the frequency bands of the first filter bank so that the bandpass filters do not deteriorate
the operation of the adaptive filters.
[0023] In one embodiment of the invention, the first set of adaptive filters subtracts the
electrical output of the hearing aid from the input to the processor and the difference
signal is used for modification of the filter coefficients as explained below. The
difference signal is not used for modification of the input signal to the processor
whereby distortion of the signal is avoided. Thus, in this embodiment of the invention
the first adaptive filter is used for estimation of the acoustic feedback signal without
distortion of the processed signal. Further, in this embodiment, at least one of the
adaptive filters of the first set of adaptive filters may operate on a respective
decimated bandpass filtered second electrical signal whereby signal processing power
requirement is minimised without requiring additional further filters since the adaptive
filter output signal does not affect the processed signal directly.
[0024] In another embodiment of the invention, the first set of adaptive filters subtracts
the electrical output of the hearing aid from the electrical signal from the input
transducer and the difference signal is used for modification of the filter coefficients
and is fed to the input of the processor whereby the acoustic feedback signal is substantially
removed from the signal before processing by the processor. In this embodiment, decimation
of signals may be employed in the processor and in the first set of adaptive filters
if a third filter bank that is substantially identical to the first filter bank is
added in the processor before summation of the individual processed signals from each
processor channel to the output signal from the processor.
[0025] Generation of undesired sounds may be avoided by monitoring of the loop gain of the
acoustic feedback loop, i.e. the gain of the acoustic feedback path from the output
transducer to the input transducer including the transfer functions of the transducers
plus the gain of the electronic circuitry included in the signal path from input to
output of the hearing aid. When the loop gain approaches one, certain actions may
be taken to prevent generation of unwanted sounds. Since the first set of adaptive
filters generates a signal that corresponds to the signal generated by acoustic feedback,
monitoring of attenuation in the first set of adaptive filters and of gains in corresponding
channels of the processor provides an indication of the loop gain of the acoustic
feedback loop. Thus, the controller may be adapted to monitor attenuation in the first
set of adaptive filters, e.g. by determination of the individual ratios between the
magnitude of the signal at the inputs of the individual filters and the signals at
the corresponding outputs of the individual filters. Further, the controller may be
adapted to monitor the gains of the individual channels of the processor, e.g. by
a similar determination of input and output signal levels of individual processor
channels, or by reading values from registers in the processor containing current
gain values of individual processor channels. Typically, the processor channel gains
are different for different channels and they are input level dependent.
[0026] Based on the monitoring of a first parameter of the acoustic feedback loop, such
as the loop gain, the gain of a processor channel, the attenuation of an adaptive
filter of the first set of adaptive filters, etc, a second parameter of the hearing
aid may be adjusted to prevent generation of undesired sounds. For example, the gain
of at least one processor channel may be modified, e.g. lowered, to keep the acoustic
feedback loop gain below one.
[0027] The second parameter may be a maximum gain limit G
max that the gain of the processor is not allowed to exceed within a specific channel.
The adaptation rate of the first set of adaptive filters may be kept constant while
the maximum gain limit G
max of a specific channel of the processor is lowered whenever the hearing aid approaches
a state in that channel with a high risk of generating undesired sounds, e.g. caused
by a sudden change in the acoustic environment. For example, the maximum gain limit
G
max of a specific channel is lowered while the first adaptive filter adapts to a changed
acoustic environment, and is restored to the original value when the adaptive filter
has adapted to the new situation. Hereby, no distortion of the desired signal is generated.
[0028] It is an important advantage of this embodiment of the invention that the operating
gain of the hearing aid may be very high without a risk of generating undesired sounds
since the gain is automatically lowered if the feedback loop approaches resonance.
Thus, a gain safety margin is substantially not required.
[0029] In embodiments wherein the bandpass filters of the second filter bank are substantially
identical to respective bandpass filters of the first filter bank, each channel may
be individually controlled based on a determination in that channel whereby reduction
of gain by influence from frequencies outside the channel in question may be avoided.
[0030] Further, in an embodiment of the invention wherein the difference signal from the
first adaptive filter is fed to the input of the processor, the second parameter may
be a first convergence or adaptation rate of the first set of adaptive filters. For
example, the adaptation rate of the filter may be made dependent on the operating
processor gain in such a way that whenever the hearing aid approaches a state with
a high risk of generating undesired sounds, e.g. caused by a sudden change in the
acoustic environment, the adaptation rate of the first adaptive filter is increased
to rapidly compensate for the change.
[0031] The convergence rate of the first set of adaptive filters may be adjusted by modifying
the algorithm for updating the filter coefficients of the adaptive filter. As further
described below, the algorithm may comprise one or more scaling factors that may be
adjusted in response to the determination of the first parameter. For example, the
one or more scaling factors may be adjusted as a predetermined function of the operating
gains of the processor.
[0032] It is an important advantage of this embodiment that the operating gain of the hearing
aid may be very high without a risk of generating undesired sounds since the closer
the acoustic feedback loop gain approaches resonance the faster the adaptive filter
will adapt to the situation. The fast adaptation of the adaptive filter may cause
the desired signal to be distorted as previously described. However, as soon as the
adaptive filter has adapted, the convergence rate is lowered and the desired signal
is no longer distorted. Further, the distortion may take place in a frequency band
that does not affect the intelligibility of the received sound signal.
[0033] A gain interval from Go to G
a may be provided in the hearing aid. Go is a predetermined lower gain limit below
which feedback resonance and generation of undesired sounds can not occur. Go may
be determined during the fitting procedure. G
a is an adjustable upper gain limit that is adjusted according to desired sound quality.
Preferably, G
a is adjusted during the fitting procedure.
[0034] The convergence rate may vary as a predetermined function, such as a linear or a
non-linear function, of the gain of the processor, e.g. in the range from Go to G
a. For example, one or more scaling factors of the updating algorithm of the adaptive
filter may vary as a predetermined function, such as a linear or a non-linear function,
of the gain of the processor, e.g. in the range from Go to G
a.
[0035] During fitting of the hearing aid to the individual user, the transmission characteristics
of the feedback path is measured. Based on these characteristics, the values of Go
and G
a with appropriate safety margins are determined and stored in the hearing aid. For
determination of Go there are several factors to take into consideration. The feedback
path characteristics are, as already mentioned, not constant. Thus, sudden changes
may lead to feedback resonance if the feedback compensation is too slow. Further,
prediction of the magnitude and duration of changes of the attenuation of the feedback
path may be difficult. On the other hand, fast adaptation may lead to unacceptable
distortion of the desired signal, the level of unacceptable distortion again being
a subjective quantity.
[0036] However, in situations where the characteristics of the acoustic feedback path have
been stable for a certain period it is possible to estimate the characteristics of
the feedback path accurately since in such a situation the relation between the signals
at the inputs of the first set of adaptive filters and the signals at the outputs
of the first set of adaptive filters is a precise measure for such characteristics,
e.g. the attenuation, of the acoustic feedback path. Knowing the gain characteristics
of the digital processor and of the acoustic feedback signal, an estimate for the
acoustic feedback loop may be provided. From this knowledge, a dynamically changing
value of Go may be incorporated in the hearing aid. In one embodiment the interval
from Go to G
a may have a fixed size, independent of the changes in Go, i.e. the entire interval
is shifted in accordance with changes of Go.
[0037] According to a preferred embodiment of the invention, the hearing aid further comprises
a second set of adaptive filters operating in parallel with, i.e. on the same signals
as, the first set of adaptive filters but with second convergence rates that are lower
than the first convergence rates of the first set of adaptive filters. The outputs
of the second set of adaptive filters are fed to the corresponding inputs of the processor
whereby the acoustic feedback signal is substantially removed from the signal before
processing by the processor. The outputs of the first set of adaptive filters are
not used for modification of the processor input signals.
[0038] In this embodiment, the controller is adapted to estimate the amount of acoustic
feedback by determination of a parameter of the first set of adaptive filters. The
high first convergence rate allows the first adaptive filter to track the acoustic
feedback more closely over time than the second adaptive filter. Further, since the
output signal of the first adaptive filter is not subtracted from the input transducer
signal, the desired signal is not distorted by the first adaptive filter.
[0039] Thus, according to a preferred embodiment of the invention, a hearing aid is provided
further comprising a set of second adaptive filters with second filter coefficients
for suppression of feedback in the hearing aid by filtering the bandpass filtered
second electrical signals into respective fourth electrical signals, a combining node
for generation of fifth electrical signals by subtraction of the fourth electrical
signals from the respective bandpass filtered first electrical signals and for feeding
the fifth electrical signals to the processor, and wherein the second filter coefficients
are updated with a second convergence rate that is lower than the first convergence
rate.
[0040] The amount of acoustic feedback may be estimated by determination of the ratio between
the magnitude of the signals at the inputs of the first set of adaptive filters and
the signals at the respective outputs of the first set of adaptive filters. This approach
provides a quick response to changes in the acoustic feedback path and requires very
little processor power.
[0041] The second parameter may be a second convergence or adaptation rate of the second
set of adaptive filters. For example, the adaptation rate of the filtering may be
made dependent on the operating gain of the processor or, the attenuation of the first
set of adaptive filters or, a combination of the two, in such a way that whenever
the hearing aid approaches a state with a high risk of generating undesired sounds,
e.g. caused by a sudden change in the acoustic environment, the adaptation rate of
the second adaptive filter is increased to rapidly compensate for the change.
[0042] As previously described for the first set of adaptive filters, the convergence rate
of the second set of adaptive filters may be adjusted by modifying the algorithm for
updating the filter coefficients of the adaptive filters. As further described below,
the algorithm may comprise one or more scaling factors that may be adjusted in response
to the determination of the first parameter. For example, the one or more scaling
factors may be set as a predetermined function of the operating gains of the processor.
[0043] The second set of adaptive filters provides individual filtering of signals in respective
frequency bands. Preferably, the frequency bands of the second set of adaptive filters
are substantially identical to the frequency bands of the first filter bank.
[0044] The frequency bands of the second set of adaptive filters may differ in number and
range from the frequency bands of the first filter bank and the first set of adaptive
filters. However, in a preferred embodiment of the present invention, the first filter
bank comprises a plurality of bandpass filters while the second set of adaptive filters
consists of a single adaptive filter providing modification of the processor input
signal in a single frequency band whereby a hearing aid with a frequency dependent
hearing aid compensation capability is provided with a simple single band acoustic
feedback compensation loop.
[0045] Thus, according to a preferred embodiment of the present invention, a hearing aid
is provided further comprising a second adaptive filter with second filter coefficients
for suppression of feedback in the hearing aid by filtering the second electrical
signal into a fourth electrical signal, a combining node for generation of a fifth
electrical signal by subtraction of the fourth electrical signal from the first electrical
signal and for feeding the fifth electrical signal to the respective bandpass filters
of the first filter bank, and wherein the second filter coefficients are updated with
a second convergence rate that is lower than the first convergence rate.
[0046] Thus, in a preferred embodiment of the invention, the processor and the first adaptive
filter are divided into channels covering the same frequency bands while the second
adaptive filter is not divided into a plurality of channels. Further, the controller
may be adapted to control the individual maximum gain limits G
max of each processor channel in response to determination of the attenuation of the
corresponding first adaptive filter channel. The controller may further be adapted
to increase a second convergence rate of a filter of the second set of adaptive filters
when the corresponding processor channel gain is limited by a G
max limit so that the duration of the gain limitation may be decreased. Still further,
the controller may be adapted to adjust the gain limit and/or the convergence rate
in accordance with the current mode of operation of the hearing aid. The term mode
of operation will be explained below.
[0047] Preferably, at least one adaptive filter is a finite impulse response (FIR) filter,
and even more preferred at least one adaptive filter is a warped filter, such as a
warped FIR filter, a warped infinite impulse response (IIR) filter, etc.
[0048] In the present example of a warped FIR filter, the unit delays are substituted by
first order allpass sections. However, the warping may as well be realised with second
order and even higher order allpass sections. A first order allpass section has the
z-transform:

where γ is a warping parameter. Thus, the fixed delays in a FIR filter are substituted
by frequency dependent delays leading to large delays at low frequencies and smaller
delays at high frequencies. It should also be noted that the allpass elements are
internally recursive and therefore warped FIR filters have infinite impulse responses.
Thus, the term warped FIR is somewhat contradictory but describes well the structural
analogy to transversal FIR filters.
[0049] In embodiments of the present invention, the order of a warped FIR filter may be
considerably lower than the order of a FIR filter with comparable specifications.
Thus, for a given circuit complexity, a warped FIR filter is capable of providing
better filter characteristics than a FIR filter. Further, the warping parameter γ
may be used as a control parameter for controlling the transfer function, i.e. the
positioning of resonances and cut-off frequencies in the frequency spectrum, whereby
the spectrum of the error signal e(n), i.e. the difference between the filter output
signal and the desired signal, may be minimised within a desired frequency range.
[0050] In the FIR or warped FIR filter, the next sample Y(t+T) is calculated according to
the following equation:

wherein

[0051] It is noted that
u is an N dimensional vector containing the latest N samples of the signal u and
c is a vector containing the N coefficients of the N'th order filter. T is the sampling
period.
[0052] In the equation, u(t) is the actual value at the actual time t, and u(t-iT) is the
signal value at i sampling periods prior to the actual time t. In discrete time systems,
a shorthand notation is often used where the symbol u(i) indicates the signal value
at the time t-iT, i.e. u(t-iT) in the equation above.
[0053] It is well known, e.g. cf. Adaptive Filtering by Paulo S. R. Diniz, Kluwer Academic
Publishers, 1997, to use a least mean square algorithm for updating of the filter
coefficients in an adaptive filter:

[0054] Using the above-mentioned shorthand notation (n is the reference number of the actual
sample), the equation is rewritten:

[0055] Or in an even shorter form:

wherein i references the individual vector elements.
[0056] It is preferred to use a leaky least mean square algorithm is used for updating the
filter coefficients:

where u
i is a set of signal values derived from the output signal of digital processor in
the n'th sampling period and the i-1 preceding sampling periods, c
i is a set of filter coefficients, e is the current value of the error signal and λ
and µ are scaling factors. The value of µ is typically in the magnitude of 10
-6 and the value of λ is typically approximately 0.99. λ is denoted leakage and when
λ<1, the filter coefficients will drift towards their respective initial values c
i(0). µ is the convergence rate and determines the rate with which the adaptive filter
adapts to a change. The adaptation rate increases with increasing values of µ.
[0057] It may further be advantageous to normalise the algorithm so that the adaptive filter,
substantially, does not respond to momentary dynamic changes in the input signal.
It should be noted that for the purpose of estimating the acoustic feedback signal,
the desired input signal is irrelevant and constitutes noise deteriorating the convergence
performance of the adaptive filter. The normalised algorithm is referred to as a normalised
Least Mean Square (nLMS) algorithm:

[0058] However in the above equation the calculation of the power requires significant processing
power and consequently, it is preferred to use a power estimate according to the equation:

where α is a predetermined constant that determines the rate with which the P
u estimate changes. The algorithm is referred to as a power normalised Least Mean Square
algorithm. The power estimate may also be based on the output signal from the input
transducer so that the influence from sudden changes in the power of the input signal
on the adaptation algorithm is minimised.
[0059] Further, a third update algorithm may be used for updating the adaptive filter coefficients
denoted a leaky sign least mean square algorithm:

where µ
s is the sign of the e(n) signal multiplied by µ.
[0060] Still further, a fourth update algorithm that may be used for the adaptive filter
coefficients denoted a leaky sign-sign least mean square algorithm:

where sgn(u
i(n)) is the sign of u
i(n).
[0061] The filter coefficients may be updated based on a difference signal that is processed,
e.g. combined with another signal, averaged or otherwise filtered, etc. Filtering
may be performed in a focussed manner as known in the art.
[0062] Further, it should be noted that in a multichannel hearing aid according to the invention,
the adaptive filters of the channels need not have identical number of taps. For example,
it may be desirable to include more taps in adaptive filters operating in low-frequency
channels.
[0063] As already mentioned, the controller may adjust λ and µ in response to the determination
of a first parameter of the acoustic feedback loop of the hearing aid.
[0064] Various sets of parameters of the hearing aid may be provided for various respective
types of sound, e.g. speech, music, etc, that the user desires to hear and various
respective types of acoustic environment, e.g. silence, noise, echo, crowd, open air,
room, head set, etc, in which the user is situated. For example, various gain settings
as a function of frequency may be provided, various gain settings as a function of
input signal level may be provided, and various convergence rates as a function of
operating processor gain may be provided, etc. Each set of parameters defines a specific
mode of operation of the hearing aid and when the hearing aid operates with a specific
set of parameters it is said to operate in the corresponding mode. Thus, in a specific
mode of operation, specific parameter values of the hearing aid are set for appropriately
processing of corresponding specific sounds in a specific acoustic environment. Likewise
automatic adjustment of the parameters may be performed in accordance with the current
mode of operation.
[0065] The type of sound may be selected by the user or, it may be automatically detected
by the hearing aid, e.g. by a frequency analysis, analysis of signal to noise ratio
at various frequencies, analysis of sound dynamics, speech recognition, recognition
by neural networks, etc.
[0066] Likewise, the type of acoustic environment may be selected by the user or, it may
be automatically detected by the hearing aid, e.g. by a frequency analysis, analysis
of signal to noise ratio at various frequencies, analysis of sound dynamics, recognition
by neural networks, etc.
[0067] For example, the user may desire to listen to music. The first convergence rate of
the first adaptive filter may then be set to a value that is in conformance with the
auto-correlation of music. Further, gain adjustments or adjustments of the first convergence
rate may also be performed in conformance with the auto-correlation of music. For
example, when the first convergence rate, e.g. one or more scaling factors, is controlled
as a function of processor gain, the function may be selected from a set of functions,
each of which is adapted for use in a specific acoustic environment with certain sounds,
such as music, speech, etc, that the user has decided to listen to.
[0068] Furthermore, adjustments may also be performed in accordance with the rate of change
of measured parameters, e.g. of the acoustic feedback path, e.g. the feedback gain,
etc, etc.
[0069] The invention will now be explained in greater detail with reference to the drawing
in which
- Fig. 1
- is a block diagram of a hearing aid according to the present invention,
- Fig. 2
- is a block diagram of a multichannel hearing aid in which each channel corresponds
to the hearing aid shown in Fig. 1,
- Fig. 3
- is a block diagram of a hearing aid incorporating a measuring system according to
the invention,
- Fig. 4
- is a block diagram of a multichannel hearing aid in which each channel corresponds
to the hearing aid shown in Fig. 3,
- Fig. 5
- is a block diagram of a multichannel hearing aid with a single band adaptive filter,
- Fig. 6
- is a block diagram illustrating an LMS type FIR filter implementing the update algorithms
according to the invention,
- Fig. 7
- is a block diagram illustrating an LMS type warped FIR filter implementing the update
algorithms according to the invention,
- Fig. 8
- is a plot of an impulse response of a FIR filter compared to an impulse response of
a warped FIR filter,
- Fig. 9
- is a plot of the deviation from a desired transfer function of a FIR filter and a
warped FIR filter,
- Fig. 10
- is a diagram representing possible variations in the filter coefficients in dependence
of the gain in the digital processor, and
- Fig. 11
- is a diagram illustrating the improvement in maximum possible gain achieved with the
present invention.
[0070] Fig. 1 is a schematic block diagram of an embodiment of the present invention. It
will be obvious for the person skilled in the art that the circuits indicated in Fig.
1 may be realised using digital or analogue circuitry or any combination hereof. In
the present embodiment, digital signal processing is employed and thus, the processor
7 and the adaptive filter 10 are digital signal processing circuits. In the present
embodiment, all the digital circuitry of the hearing aid may be provided on a single
digital signal processing chip or, the circuitry may be distributed on a plurality
of integrated circuit chips in any appropriate way.
[0071] In the hearing aid an input transducer 1, such as a microphone, is provided for reception
of sound signals and conversion of the sound signals into corresponding electrical
signals representing the received sound signals. The hearing aid may comprise a plurality
of input transducers 1, e.g. whereby certain direction sensitive characteristics may
be provided. The input transducer 1 has a transfer function H
m. The input transducer 1 converts the sound signal to an analogue signal. The analogue
signal is sampled and digitised by an A/D converter (not shown) into a digital signal
4 for digital signal processing in the hearing aid. The digital signal 4 is fed to
a combining node 9 where it is combined with a feedback compensation signal 85 which
will be explained later. The combining node 9 outputs an output signal 86 which is
fed to a digital signal processor 7 for amplification of the output signal 86 according
to a desired frequency characteristic and compressor function to provide an output
signal 80 suitable for compensating the hearing deficiency of the user.
[0072] The output signal 80 is fed to an output transducer 5 and an optional delay Δ and
the delayed signal 83 is fed to an adaptive filter 10. The output transducer 5 converts
the output signal 80 to an acoustic output signal 6. A part of the acoustic signal
propagates to the input transducer 1 along a feedback path having a transfer function
H
fb. Preferably, the time delay of the delay line Δ is substantially equal to the transit
time of the signal 6 from the output transducer 5 to the input transducer 1. Other
time delays may be selected. However, shorter time delays or zero time delay complicates
the filtering, e.g. when the filters are Finite Impulse Response filters longer filters
will be necessary, i.e. filters with more taps. Thus, a further delay may be inserted
in the circuit at the output of the processor 7 and feeding a delayed signal to the
output transducer 5 and the optional delay Δ thereby decreasing the correlation between
input signal 4 and filtered signal 85.
[0073] In the adaptive filter 10, the delayed signal 83 is filtered in order to provide
a filtered signal 85 that is an estimate of the acoustic feedback, i.e. the filtered
signal 85 is an estimate of the part of the transducer generated signal 4 that is
generated by reception of sound originating from the output transducer 5. The filtered
signal 85 is subtracted from the digital input signal 4 in the combining node 9 whereby
a feedback compensated signal 86 is provided and input to the digital processor 7.
In order to compensate for changes in the acoustic feedback path, the filter coefficients
of the adaptive filter 10 are continuously updated so that the filtered signal 85
stays substantially identical to the feedback signal 6.
[0074] The filter 10 is a finite impulse response (FIR) filter or a warped FIR filter with
a leaky sign-sign least mean square algorithm as disclosed above.
[0075] The controller adjusts λ and µ in response to the actual gain in the processor 7.
A plot of the scaling factors λ and µ as functions of the gain is shown in Fig. 10.
It should be noted that these functions may depend on the mode of operation of the
hearing aid. A set of selectable subsets of functions as those shown in Fig. 10 may
be provided that may be selected by the controller 13 in accordance with the current
mode of operation of the hearing aid. Further, the functions may be selected in accordance
with the rate of change of a measured parameter, e.g. attenuation in the acoustic
feedback path.
[0076] In the embodiment of Fig. 1 the controller 13 receives information from the digital
processor 7 via a line 15. According to the information received via line 15 about
the current operating gain in the digital processor 7, the controller adjusts the
adaptation rate for the filter coefficients of the adaptive filter 10. It should be
noted that in the present drawing, dashed lines and arrows indicate control lines
that do not form part of the signal path of the processed signal.
[0077] A FIR filter embodiment of the filter 10 is shown in more detail in Fig. 6. For simplicity
only the first four taps are shown, but the filter may comprise any appropriate number
of taps. If the operator

is set to 1 and the operator

is set to µ(e(n)), a leaky least mean square algorithm is achieved. If λ is set to
1, a simple least mean square algorithm is achieved. If

is set to 1 and

is set to µsgn(e(n)), a leaky sign least mean square algorithm is achieved. Finally

may be set to sgn(u
i(n)) and

may be set to µsgn(e(n)) thus achieving a leaky sign-sign LMS algorithm. The filter
coefficients may also be calculated using recursive least square algorithms.
[0078] A warped FIR filter embodiment of the filter 10 is shown in more detail in Fig. 7.
It should be noted that the circuitry below the upper delay line in Fig. 6 and in
Fig. 7 are identical. It is preferred that the warping parameter γ is equal to 0.5.
It should be noted that for γ = 0, the warped FIR filter turns into a FIR filter.
[0079] Fig. 8 shows a plot of the infinite impulse response of a warped FIR filter and the
finite response of a FIR filter. The plot indicates that a warped FIR filter inherently
has a better capability of approximating a desired transfer function than a FIR filter.
[0080] Fig. 9 shows a blocked diagram of a test circuit 100 for determination of the transfer
function H
a of an adaptive filter 102 adapting to a desired transfer function H of another filter
104. The plotted curves shows the power spectrum 108 of the error signal 106 when
the adaptive filter 102 is a warped FIR filter together with the power spectrum 110
of the error signal 106 when the adaptive filter 102 is a FIR filter. The FIR filter
and the warped FIR filter have the same number of tabs. It is seen that below 6-7
kHz the warped FIR filter improves the error signal by up to 15 dB. Since the output
of the output transducer 5 typically has a cut-off frequency around 6-8 kHz, the performance
of the warped FIR filter above 8 kHz is unimportant. It should be noted that changes
in the sampling frequency will shift the frequency values indicated along the frequency
axis. It is also noted that γ may be adjusted for optimising the spectrum of the error
signal 106 for a specific application, such as a specific type of hearing deficiency.
[0081] Fig. 2 shows a multichannel embodiment of a hearing aid according to the present
invention in which each channel generally operates in the same way as the single channel
embodiment shown in Fig. 1. Corresponding parts of Fig. 1 and Fig. 2 are referenced
by the same reference numbers except that indexes are added to the reference numbers
of Fig. 2. For simplicity only three channels are indicated in Fig. 2. It should be
noted, however, that the hearing aid may contain any appropriate number of channels
as also indicated in the figure.
[0082] The multichannel embodiment of the invention according to Fig. 2 comprises the same
parts as the single channel embodiment shown in Fig. 1 in addition to a filter bank
3 that outputs bandpass filtered signals 4a, 4i, 4n. In combining nodes 9a, 9i, 9n
the respective signals 4a, 4i, 4n are combined to form respective signals 86a, 86i,
86n. The signals 86a, 86i, 86n are fed to the multichannel digital processor 7 for
processing according to a desired characteristic that matches the hearing deficiency
of the user. This may involve adjustment of different gain settings in the individual
channels. Further the processing may also involve compressor functions. Still further,
other functions such as noise reduction may be performed by the signal processor.
[0083] The output signal from the digital signal processor 7 is fed to a filter bank 16
were it is split into bandpass filtered signals 83a, 83i, 83n corresponding to the
different frequency bands or channels in the set of adaptive filters 10a, 10i, 10n.
Preferably, the filter bank 16 comprises a digital fourth order filter.
[0084] From the adaptive filter 10a, 10i, 10n the filtered signals 85a, 85i, 85n are fed
to the respective combining nodes 9a, 9i, 9n for subtraction from the signals 4a,
4i, 4n and generation of the signals 86a, 86i, 86n. As in the embodiment of Fig. 1,
an optional delay line Δ may delay the output signal 80. Preferably, the delay is
substantially equal to the maximum propagation time of sound from the output transducer
5 to the input transducer 1.
[0085] The processor 7 combines the signals of its channels into a single output signal
80.
[0086] In a multichannel embodiment, the adaptation rates of the respective channels may
be different from each others. Thus, it is possible to apply higher adaptation rates
with the resulting undesired distortion at frequencies where feedback resonance is
likely to occur. This is an advantageous feature if feedback resonance occurs at frequencies
that are unimportant to desired signals.
[0087] Further, signal detection is more difficult to perform in a broad frequency range.
Thus, a multichannel system is less likely to produce convergence errors due to incorrect
signal detection than a single channel system.
[0088] In one embodiment, the controller 13 controls the adaptation rate of the filter coefficients
in the adaptive filter 10, 10a, 10i, 10n as a function of the actual operating gains
in the processor in a gain interval from Go to G
a.
[0089] The hearing aid illustrated in Fig. 3 corresponds to the hearing aid of Fig. 1 with
an added measuring system. Corresponding parts are referenced by identical reference
numbers and explanation of their operation is not repeated. The hearing aid shown
in Fig. 3 further comprises a second adaptive filter 11 operating in parallel with,
i.e. on the same signals as, the first adaptive filter 10 but with a second convergence
rate that is lower than the first convergence rate of the first adaptive filter 10.
The output 85 of the second adaptive filter 11 are fed to the combining node 9 for
subtraction from the signal 4 and generation of the signal 86 input to the processor
7 whereby the acoustic feedback signal is substantially removed from the signal before
processing by the processor 7. It should be noted that the output 89 of the first
adaptive filter 10 is not used for modification of the processor input.
[0090] In this embodiment, the controller 13 is adapted to estimate the amount of acoustic
feedback by determination of a parameter of the first adaptive filter 10. The high
first convergence rate allows the first adaptive filter 10 to track the acoustic feedback
more closely over time than the second adaptive filter 11. Further, since the output
signal 89 of the first adaptive filter 10 is not subtracted from the input transducer
signal 4, the desired signal is not distorted by the first adaptive filter 10.
[0091] The second adaptive filter 11 may be any kind of adaptive filter, but is preferably
a FIR filter or a warped FIR filter using a power-normalised Least Mean Square (power-nLMS)
algorithm. The second adaptive filter 11 outputs a filtered signal 89 to a second
combining node 12 where it is combined with the signal 86 from the first combining
node 9. The output signal 90 from the combining node 12 is input to the second adaptive
filter 11 for adjustment of the filter coefficients.
[0092] It is an important advantage of the embodiment shown in Fig. 3 that the output signal
generated by the first adaptive filter 10 is not fed into the main signal path from
the input transducer 1 to the output transducer 5. The main signal path comprises
the input transducer 1, the digital conversion means (not shown), the combining node
9, the digital processor 7 and the output transducer 5. Consequently, the signal processing
by the first adaptive filter 10 does not affect the signal in the main signal path
directly. Thus, no signal distortion of signals in the main signal path is created
by the first adaptive filter 10, and thus the adaptation rate of the first adaptive
filter 10 may be substantially higher than that of the second adaptive filter 11.
Since the adaptation rate of the first adaptive filter 10 may be significantly higher
than that of the second adaptive filter 11, the feedback path can be monitored much
more closely over time for changes by the first adaptive filter 10 than by the second
adaptive filter 11. Preferably the first adaptation rate is a fixed high adaptation
rate, but the adaptation rate may be adjusted, e.g. by modifying one or more of the
scaling factors. For example, it may be preferred to adjust the adaptation rate of
the first adaptive filter in accordance with the actual gain in the processor or the
input power level.
[0093] Adjustment of adaptation rate may differ for different modes of operation.
[0094] If rapid changes in the acoustic environment occur, the second adaptive filter 11
of Fig. 3 will not be able to immediately adapt to and compensate for the changes.
Accordingly, uncompensated feedback signals will start to emerge. The first adaptive
filter 10, however, is much faster than the second adaptive filter 11 and will adapt
to the change in the feedback path.
[0095] In one embodiment, the controller controls the adaptation rate in the second adaptive
filter 11, e.g. controlling the value of µ, based on the rapid response of the first
adaptive filter 10 to changes in the feedback path. Thus, if the properties, e.g.
the filtering characteristics, such as the attenuation, etc, of the first adaptive
filter 10 indicate a change in the feedback path, the second adaptive filter 11 is
controlled accordingly, i.e. by increasing the adaptation rate of the second adaptive
filter 11 if the gain is close to the feedback limit. The increased adaptation rate
of the second adaptive filter 11 allows it to compensate for the change in acoustic
feedback more rapidly, e.g. before the acoustic feedback leads to generation of undesired
sounds.
[0096] It should be noted that the amount of acoustic feedback may be estimated preferably
by determination of a parameter of the first adaptive filter 10 or, alternatively
or additionally, by determination of a parameter of the second adaptive filter 11.
For example, the ratio between the input and the output signal of the respective adaptive
filter 10, 11 may be determined since the ratio constitutes an estimate of the attenuation
of the feedback path including the acoustical feedback path. Further, it may be desirable
to base such a calculation on averaged signals thereby suppressing influence from
noise and speech and convergence errors. Alternatively an average of the desired properties
may be determined. Preferably, a power estimate of the above-mentioned type is used
for each signal. Alternatively, a parameter of one of the adaptive filters 10, 11
may be determined by appropriate transformation of the filter coefficients.
[0097] In another embodiment, the controller lowers the gain in the digital processor if
a change in feedback is detected by the first adaptive filter 10. In particular this
may be performed selectively in the different channels of the digital processor.
[0098] Based on the determination of the first parameter, the controller may calculate a
maximum gain value G
max that the processor is not allowed to exceed in order to avoid generation of undesired
sound signals. In a multichannel hearing aid there may be an individual G
max-value for each channel.
[0099] In yet another embodiment, the controller changes the gain interval from Go to G
a. Thus, if the second adaptive filter 11 detects that the system is close to instability,
this information may be used to lower the lower gain limit Go thereby shifting the
whole gain interval downwards or expanding the gain interval if it is desired to keep
G
a at a specific level. If only the lower gain limit Go is changed the curves for λ
and µ will preferably be changed so as to cover the different interval.
[0100] In this respect it should be noted that the relation between the gain and λ and µ
may be different from the functions depicted in Fig. 10.
[0101] Fig. 4 shows a multichannel embodiment of a hearing aid according to the present
invention in which each channel generally operates in the same way as the single channel
embodiment shown in Fig. 3. Corresponding parts of Fig. 3 and Fig. 4 are referenced
by the same reference numbers except that indexes are added to the reference numbers
of Fig. 3. For simplicity only three channels are indicated in Fig. 4. It should be
noted, however, that the hearing aid may contain any appropriate number of channels
as also indicated in the figure. For simplicity, control lines have been omitted in
Fig. 4.
[0102] The multichannel embodiment of the invention according to Fig. 4 comprises the same
parts as the single channel embodiment shown in Fig. 3 in addition to a filter bank
16 that outputs bandpass filtered signals 83a, 83i, 83n to a second set of adaptive
filters 11a, 11i, 11n. The respective adaptive filters 11a, 11i, 11n provide filtered
signals to respective combining nodes 12a, 12i, 12n for combination with respective
signals 86a, 86i, 86, from the combining nodes 9a, 9i, 9n.
[0103] The multichannel embodiment shown in Fig. 4 provides a more detailed estimation of
the transfer function of the feedback path. Moreover, signal processing may be performed
at lower sampling frequencies in lower frequency bands, a technique known as decimation.
Decimation is particularly simple to use in the first set of adaptive filters since
no anti-aliasing filter is needed in the system because the output signals from these
filters are not fed into the main signal path.
[0104] The embodiment shown in Fig. 4 may be controlled in the same way as the embodiment
shown in Fig. 3. However, the embodiment shown in Fig. 4 allows selective reduction
of the gain in each individual channel and selective adjustment of the adaptation
rate of each individual adaptive filter of the second set of adaptive filters 11a,
11i, 11n. This has the further advantage that the gain may be maintained at a high
value and the distortion may be maintained at a low level at frequencies where feedback
resonance is not likely to occur.
[0105] Fig. 5 shows a multichannel embodiment that is similar to and operates in a similar
way as the embodiment shown in Fig. 4. However, the embodiment shown in Fig. 5 is
simpler since it has a second set of adaptive filters that consists of a single adaptive
filter 11 and also, the combining node 9 is a single combining node.
[0106] Many other embodiments may be provided with varying numbers of channels in the processor
and the first and second sets of adaptive filters. Also the number of channels in
the processor may be different from the number of filters in the first set of adaptive
filters that again may be different from the number of filters in the second set of
adaptive filters.
[0107] In particular it is possible to provide a digital signal processor 7 having relatively
few channels and a second set of adaptive filters containing more filters. Alternatively,
the individual adaptive filters of the second set of filters may operate on a combination
of channels in the digital signal processor 7, e.g. two or more channels in the digital
signal processor 7 may operate with the same G
max determined by a specific adaptive filter of the first set of adaptive filters or,
a channel in the digital signal processor 7 may operate with a G
max that is the lowest gain of two or more gains determined by adaptive filters of the
first set of adaptive filters. At present, however, the embodiment with a single second
adaptive filter 11 and a multichannel first set of adaptive filters 10 is preferred.
[0108] In Fig. 11, a plot of operating gains as a function of frequency is shown. The upper
solid curve shows the maximum operating gain that can be obtained with a hearing aid
according to the present invention without generation of undesired sounds, and the
lower dashed curves shows the corresponding gain for a known hearing aid.
[0109] General embodiments:
a. A hearing aid comprising
an input transducer (1) for transforming an acoustic input signal into a first electrical
signal (4),
a first filter bank (3) with bandpass filters for dividing the first electrical signal
(4) into a set of bandpass filtered first electrical signals (4i),
a processor (7) for generation of a second electrical signal (80) by individual processing
of each of the bandpass filtered first electrical signals (4i, 86) and adding the processed electrical signals into the second electrical signal
(80),
an output transducer (5) for transforming the second electrical signal (80) into an
acoustic output signal (6),
a second filter bank (16) with bandpass filters for dividing the second electrical
signal (80) into a set of bandpass filtered second electrical signals (80i),
a first set of adaptive filters (10) with first filter coefficients for estimation
of acoustic feedback by generation of third electrical signals (85) by filtering of
the bandpass filtered second electrical signals (80i) and adapting the respective third signals (85) to respective signals on the input
side of the processor (7) with respective first convergence rates, and
a controller that is adapted to compensate for acoustic feedback by determination
of a first parameter of an acoustic feedback loop of the hearing aid and adjustment
of a second parameter of the hearing aid in response to the first parameter whereby
generation of undesired sounds is substantially avoided.
b. A hearing aid as recited in a, wherein at least one of the adaptive filters of
the first set of adaptive filters (10) operates on a respective decimated bandpass
filtered second electrical signal (80i).
c. A hearing aid as recited in a or b, wherein the first filter bank (3) consists
of a single bandpass filter.
d. A hearing aid as recited in a, b or c, wherein the second filter bank (16) consists
of a single bandpass filter, and the first set of adaptive filters consists of a single
adaptive filter.
e. A hearing aid as recited in a or b, wherein the bandpass filters of the second
filter (16) bank are substantially identical to respective bandpass filters of the
first filter bank (3).
f. A hearing aid as recited in d, wherein the first set of adaptive filters filters
the second electrical signal (80) and adapts to the first electrical signal (4).
g. A hearing aid as recited in f, further comprising a combining node (9) for subtraction
of the third signal (85) from the first electrical signal (4), and wherein the subtracted
signal is fed to the processor (7).
h. A hearing aid as recited in e, wherein the first set of adaptive filters filters
the respective bandpass filtered second electrical signals (80i) and adapts to the respective bandpass filtered first electrical signals (4i).
i. A hearing aid as recited in h, further comprising a combining node (9) for subtraction
of the third signals (85) from the respective bandpass filtered first electrical signals
(4i), and wherein the subtracted signals are fed to the processor (7).
j. A hearing aid as recited in f, further comprising
a second adaptive filter (11) with second filter coefficients for suppression of feedback
in the hearing aid by filtering the second electrical signal (80) into a fourth electrical
signal (85),
a combining node (9) for generation of a fifth electrical signal (86) by subtraction
of the fourth electrical signal (85) from the first electrical signal (4) and for
feeding the fifth electrical signal (86) to the respective bandpass filters of the
first filter bank, and wherein the second filter coefficients are updated with a second
convergence rate that is lower than the first convergence rate.
k. A hearing aid as recited in h, further comprising
a set of second adaptive filters (11) with second filter coefficients for suppression
of feedback in the hearing aid by filtering the bandpass filtered second electrical
signals (80i) into respective fourth electrical signals (85i),
a combining node (9) for generation of fifth electrical signals (86i) by subtraction of the fourth electrical signals (85i) from the respective bandpass filtered first electrical signals (4i) and for feeding the fifth electrical signals (86i) to the processor (7), and wherein the second filter coefficients are updated with
a second convergence rate that is lower than the first convergence rate.
1. A hearing aid as recited in any one of a to k, wherein the first parameter is an
operating gain of the processor (7).
m. A hearing aid as recited in any one of a to k, wherein the first parameter is a
parameter of the first set of adaptive filters.
n. A hearing aid as recited in m, wherein the first parameter is the ratio between
the magnitude of a signal (88) at an input of a first adaptive filter of the first
set of adaptive filters (11) and the magnitude of a signal (89) at the corresponding
output.
o. A hearing aid as recited in any one of a to n, wherein the second parameter is
a gain of the processor (7).
p. A hearing aid as recited in any one of a to o, wherein the second parameter is
the first convergence rate of the first filter coefficients.
q. A hearing aid as recited in i or j and any of claims 1 to p, wherein the second
parameter is the second convergence rate of the second filter coefficients.
r. A hearing aid as recited in any one of a to q, further comprising means for updating
filter coefficients according to a leaky least mean square algorithm:

where ci(n+1) is the updated value of i'th filter coefficient, ci(n) is the current value of the i'th filter coefficient, ci(0) is the initial value of the i'th filter coefficient, ui(n) is the (n-i)'th sample of the processor output signal, e(n) is the current sample
of the second electrical signal (86), λ is the leakage, and µ is the convergence,
λ and µ determining the first convergence rate.
s. A hearing aid as recited in any one of a to r, further comprising means for updating
filter coefficients according to a normalised Least Mean Square:

where u(n) is an N dimensional vector containing the latest N samples of the signal u, c(n) is a vector containing the current values of the N filter coefficients, c(0 is a vector containing the initial values of the N filter coefficients, c(n+1) is the updated values of the N filter coefficients, and e(n) is the current
sample of the second electrical signal (86).
t. A hearing aid as recited in any one of a to r, further comprising means for updating
filter coefficients according to a power normalised Least Mean Square algorithm.

where α is a predetermined constant that determines the rate with which the Pu estimate changes.
u. A hearing aid as recited in any one of a to t, further comprising means for updating
filter coefficients according to a leaky sign least mean square algorithm:

where ci(n+1) is the updated value of i'th filter coefficient, ci(n) is the current value of the i'th filter coefficient, ci(0) is the initial value of the i'th filter coefficient, ui(n) is the (n-i)'th sample of the processor output signal, e(n) is the current sample
of the second electrical signal (86), λ is the leakage, and µ is the convergence,
and µs is the sign of the e(n) signal multiplied by µ, λ and µ determining the first convergence
rate.
v. A hearing aid as recited in any one of a to u, further comprising means for updating
filter coefficients according to a leaky sign-sign least mean square algorithm:

where ci(n+1) is the updated value of i'th filter coefficient, ci(n) is the current value of the i'th filter coefficient, ci(0) is the initial value of the i'th filter coefficient, ui(n) is the (n-i)'th sample of the processor output signal, e(n) is the current sample
of the second electrical signal (86), λ is the leakage, and µ is the convergence factor,
and sgn(ui(n)) is the sign of ui(n), λ and µ determining the first convergence rate.
w. A hearing aid as recited in any one of a to v, wherein at least one of the first
and second sets of adaptive filters (10, 11) comprises a finite impulse response filter.
x. A hearing aid as recited in any one of a to w, wherein at least one of the first
and second sets of adaptive filters (10, 11) comprises a warped finite impulse response
filter.
y. A hearing aid as recited in any one of a to x, wherein the controller is adapted
to adjust a second parameter of the hearing aid in response to the first parameter
and in response to the actual acoustic environment.
z. A method of suppressing acoustic feedback in a hearing aid, comprising the steps
of:
transforming an acoustic input signal into a first electrical signal (4),
dividing the first electrical signal (4) into a set of bandpass filtered first electrical
signals (4i),
processing each of the bandpass filtered first electrical signals (4i, 86) individually,
adding the processed electrical signals into a second electrical signal (80),
transforming the second electrical signal (80) into an acoustic output signal (6),
dividing the second electrical signal (80) into a set of bandpass filtered second
electrical signals (80i),
estimating acoustic feedback by generation of third electrical signals (85) by adaptive
filtering of the bandpass filtered second electrical signals (80i) and adapting the filtered signals (85) to respective signals on the input side of
the processor (7) with respective first convergence rates, and
compensating for acoustic feedback by
determining a first parameter of an acoustic feedback loop of the hearing aid, and
adjusting a second parameter of the hearing aid in response to the first parameter
whereby generation of undesired sounds is substantially avoided.