FIELD OF THE INVENTION
[0001] This invention relates to acoustical feedback suppression and, more particularly,
to acoustical feedback suppression for audio amplification systems. More specifically,
this invention relates to acoustical feedback suppression for audio amplification
systems with real-time audio input and output such as a PA system.
BACKGROUND OF THE INVENTION
[0002] In an electronic audio amplification system with audio output which can be picked
up by the system input, the picking up of an acoustical resonant frequency by the
system input can result in undesirable behaviours such as distortion or system instability.
The undesirable behaviours are typically recognizable as howling or whistling which
can be unpleasant and sometimes intolerable. Hence, it is desirable that adverse acoustical
feedback is suppressed to alleviate, if not eliminate, such undesirable behavior.
An example of such audio amplification system is a public address system, a Karaoke
system or a concert amplification system as shown in Fig. 1. Such amplification systems
typically comprise an audio pick-up means such as a microphone or microphones, sound
delivery means such as loudspeakers, and audio power amplifiers for amplifying audio
signals picked up by the microphones. Hearing aids are another example of such an
amplification system.
[0003] However, it is known that an adverse acoustic resonant frequency of an audio amplification
system is dependent on multiple factors such as the relative positioning of microphones
and loudspeakers as well as the acoustic properties of a venue, for example, the sound
absorption characteristics of a venue and the presence of objects in the acoustic
paths. In a nutshell, an adverse acoustic resonant frequency of an audio amplification
system is a dynamic variable which is dependent on the instantaneous acoustical characteristics
of the venue of application, the suppression of adverse acoustical feedback frequencies
is hitherto best done by adaptive or dynamic resonant feedback suppression means which
includes the application of adaptive filtering.
[0004] For example,
US patent number 5,245,665 describes a method of dynamic acoustical feedback suppression in which audio signals
are digitized, sampled and then converted into the frequency domain by Fast Fourier
Transform (FFT). The frequency spectrum of the sampled audio signals is then analyzed
to identify the presence of any resonating frequencies to be suppressed. Specifically,
the frequency component with the maximum magnitude in the frequency spectrum is identified.
The magnitude value of the peak magnitude frequency is compared with the magnitude
of a selected harmonic of that frequency. If the magnitude of that maximum magnitude
frequency exceeds that of the selected harmonic by a predetermined factor, that maximum
magnitude frequency will be categorized as an adverse resonant frequency and will
be suppressed, for example, by a digital notch filter. Digital notch filers and their
applications for acoustic feedback suppression are described in
US Patent No. 5,245,665,
US Patent No. 5,999,631,
US Patent No. 6,611,600. These documents are incorporated herein by reference.
[0005] To identify the feedback resonant frequency for howling suppression, an acoustical
feedback suppression means for an audio amplification system typically comprises a
frequency analyzing means for identifying the specific feedback resonant frequency.
The frequency analyzing means usually comprises FFT or other time-frequency transformation
means for converting time-domain signals into a frequency domain spectrum. The frequency
domain spectrum thus obtained is then analyzed to identify the howling component frequency.
In a conventional howling suppression means, the howling frequency is usually located
by seeking the frequency with the maximum signal level or magnitude.
[0006] However, due to practical and economical allocation of signal processing resources
within the amplification system while meeting the requirements of a timely response,
the time-frequency transformation means typically divide the entire usable audio frequency
into a plurality of bands or frequency bins, which represent the best frequency resolution
that can be achieved for a given system. For example, for a FFT with a frame size
N and a sampling rate of S Hz, the frequency resolution per frequency bin is S/N Hz.
Hence, for a FFT with a 1024 frame size at the sampling rate of 44.1kHz, the frequency
resolution is at 43.066 Hz. The suppression of this entire frequency bin results in
deterioration of sound quality and is therefore not desirable.
OBJECT OF THE INVENTION
[0007] Accordingly, it is an object of this invention to provide means, methods, schemes
and/or apparatus for enhanced acoustical feedback suppression for an audio amplification
system. More specifically, although not solely limited thereto, it is an object of
this invention to provide means and method for acoustical feedback suppression in
which an adverse feedback resonant frequency is isolated from a frequency band for
subsequent suppression. At a minimum, it is an object of this invention to provide
the public with a useful choice of a novel acoustic feedback suppression means and
method for application in audio amplification systems.
[0008] In the description below, the terms "howling frequency" and "feedback resonant frequency"
will be used interchangeably to describe the adverse resonant feedback frequency which
causes howling and/or other undesirable feedback behaviours in the type of acoustic
system described above.
SUMMARY OF THE INVENTION
[0009] Broadly speaking, the present invention has described a method of acoustic feedback
suppression, comprising the steps of:-
- i). obtaining digitized time-domain samples of acoustic signals,
- ii). performing discrete time-frequency transformation on the digitized time-domain
samples to generate a plurality of frequency bins of a frequency resolution,
- iii). identifying a howling frequency bin, said howling frequency bin containing a
maximum magnitude among the plurality of frequency bins,
- iv). isolating a peak frequency within said howling frequency bin for suppression,
and
- v). suppressing said peak frequency.
[0010] The isolation of a peak frequency from a frequency bin makes possible the suppression
of the howling frequency from a frequency bin so that the non-howling frequencies
within the bin are not unnecessarily suppressed.
[0011] According to a preferred embodiment of the present invention, the frequency bin is
of a pre-determined frequency resolution, the method further comprises the step of
increasing the frequency resolution of the howling frequency bin prior to frequency
peak detection.
[0012] Preferably, said the frequency resolution of the howling frequency bin is increased
by zero-padded windowing.
[0013] Preferably, the time-domain acoustic samples are obtained at a sampling frequency
and the frequency resolution of a frequency bin is dependent on the ratio between
the sampling frequency.
[0014] Preferably, the discrete time-frequency transformation is FFT.
[0015] Preferably, a frequency bin is identified as a howling frequency bin containing a
howling frequency if the magnitude of that frequency bin exceeds a pre-determined
threshold magnitude threshold for a pre-determined plurality of times.
[0016] Preferably, said magnitude being the power magnitude of the frequency bins.
[0017] Preferably, a frequency peak within the howling frequency bin is detected by subjecting
the time-domain acoustic samples to a windowing operation, the windowing operation
is performed with a windowing function which operates to convert a frequency spike
windowing function which operates to convert a frequency spike into a frequency spectrum
with a spread peak.
[0018] Preferably, spread peak has a parabolic shape.
[0019] Preferably, the windowing function is Gaussian distributed.
[0020] Preferably, Gaussian windowing function is zero padded, the time-domain samples of
said acoustic signals are multiplied by the Gaussian windowing function whereby the
frequency spectrum after the time-frequency transformation is broadened.
[0021] Preferably, the windowing function size is a number between 2 and 1024.
[0022] Preferably, the windowing function size is a number between 30 and 200.
[0023] Preferably, the windowing function size is 128.
[0024] Preferably, the windowing function has a parabolic-shaped peak.
[0025] Preferably, the windowing function is a Blackman window, a Hamming window, a Hamming
window or a Gaussian window.
[0026] Preferably, the windowing function is zero padded, the time-domain samples of said
acoustic signals are multiplied by the windowing function whereby the frequency spectrum
after the time-frequency transformation is broadened.
[0027] Preferably, the discrete time-frequency transformation of said digitized timed-domain
samples of said acoustic signals is by Fast Fourier Transform (FFT) with a pre-determined
frame size, the number of said frequency bins being half of the frame size plus one,
the frequency resolution of each said frequency bin being equal to the sampling frequency
divided by the frame size.
[0028] Preferably, the howling frequency is located by matching a second order parabolic
function to the howling frequency bin and the immediately adjacent frequency bins,
the peak of said parabolic curve being said howling frequency.
[0029] Preferably, the second order parabolic function has the following form:
howling frequency = -0.5*(bn*ad) /(bd*an), where
an = (A1-A2)*(f1-f3) - (A1-A3)*(f1-f2)
ad = (f1^2 -f2^2)*(f1-f3) - (f1^2-f3^2)* (f1-f2)
bn = (A1-A2)* (f1^2-f3^2) - (A1-A3)* (f1^2 -f2^2)
bd = (f1-f2)* (f1^2-f3^2) - (f1-f3)* (f1^2 -f2^2)
wherein, f2 is the frequency of frequency bin Pi with the maximum magnitude , f1 is
the frequency of frequency Pi-1, f3 is the frequency of frequency Pi+1 A2 is the power
magnitude of Pi, A1 is the power magnitude of (Pi-1), A3 is the power magnitude of
(Pi+1).
BRIEF DESCRIPTION OF THE DRAWINGS
[0030] Preferred embodiments of the present invention will be explained in further detail
below by way of examples and with reference to the accompanying drawings, in which:-
Fig. 1 shows a typical setup of an audio amplification system for conventional concert
or public address (PA) applications,
Fig. 2 is a system block diagram illustrating a preferred embodiment of a means for
acoustic feedback suppression using this invention,
Fig. 3 is a flow chart illustrating an exemplary embodiment of this invention,
Fig. 4 is a parabolic graph showing the identification of a howling frequency using
this invention,
Fig. 5 shows an exemplary connection between the incoming data path and the outgoing
data path,
Fig. 6 shows an alternative output configuration of the due buffer of Fig. 5,
Fig. 7 shows an exemplary Gaussian windowing function for application in the present
preferred embodiment,
Fig. 8 shows an exemplary distribution in the frequency domain when a 1 kHz sinusoidal
frequency undergoes the windowing operation of Fig. 7 under a frame size 1024 and
sampling rate of 44.1 kHz environment,
Fig. 9 illustrates in more detail the location of the peak frequency by parabolic
interpolation.
DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS
[0031] Fig. 1 shows a typical set-up of an audio amplification system in which the invention
of this application finds exemplary applications. The exemplary audio amplification
system comprises a microphone as an audio pick-up means, an optional mixer for mixing
a variety of audio inputs from a plurality of sources, an audio power amplifier for
amplifying the audio signals and a loudspeaker for delivering the amplified audio
signals to the audience. During operating of the audio amplification system, audio
signals containing an adverse feedback resonant frequency may be delivered by the
loudspeakers. This adverse feedback resonant frequency when picked up again by the
microphone will develop into howling or other unstable phenomenon in the audio amplification
system. To suppress howling, it is desirable that the howling frequency is detected
and suppressed before or during audio power amplification for optimized sound output.
[0032] Fig. 2 is a block diagram illustrating an acoustic feedback suppression means comprising
a preferred embodiment of this invention. The feedback suppression means can be configured
as a front-end to an audio power amplifier, as an integral part of a power amplifier
or disposed at any appropriate node between the audio pick-up means (for example,
microphones) and the sound delivery means (loudspeakers). The exemplary feedback suppression
means comprises a) audio signal sampling means (100), b) signal processing means (200),
c) spectral analyzing means (300), d) howling detection means (400), e) howling frequency
identification means (500) and f) howling frequency suppression means (600).
[0033] The audio signal sampling means (100) comprises sampling means for taking samples
of the audio signals to be amplified, means for digitizing the audio signal samples
and data storage means for storing the sampled data for subsequent use. The sampling
means operates at an appropriate sampling rate or frequency in order to capture sufficient
data points for accurate signal processing. The sampling frequency is usually, but
not necessarily, set at the Nyquist sampling frequency or above. For most practical
audio systems, an audio bandwidth of 22kHz is usually considered sufficient. Hence,
an exemplary sampling frequency of 44.1 kHz is used in the sampling means. Of course,
higher or lower sampling frequencies can be used for appropriate fidelity requirements
as known by persons skilled in the art and without loss of generality. The digitizing
means then converts an audio sample into a stream of digital data, such as PCM data,
for subsequent processing. The data storage means comprises first (110) and second
(110) data frame buffer. Each of the two data buffers, namely, InBufA and InBufB,
has a storage capacity for storing a plurality (N) of digitized signal samples. The
storage capacity of the data buffers in this example is set at N=1024 samples, which
is identical to the size of the FFT to be described below for reasons to be explained.
Of course, it should be appreciated that the storage capacity of the buffers can be
a number other than N=1,024 to commensurate with system configuration. A dual data
buffer topology as shown in Figs. 2, 5 and 6 is employed in this preferred embodiment
to enhance processing speed. With a dual or multiple buffer topology, sampled data
already stored in one data buffer can be processed by the signal processing means
while another batch incoming of data are being load and stored into another data buffer.
Of course, a single buffer topology can be used.
[0034] Howling in an audio system is due to one or more resonant feedback frequencies. In
frequency domain, each of the feedback resonant frequencies will appear as an isolated
frequency spike with the peak of each frequency spike standing out well above the
frequency spectrum of the adjacent non-howling and desirable audio signals. Typically,
the peak of the frequency spike is at least 20-30 dB above the floor of desirable
signal in the frequency spectrum. To eliminate or mitigate howling, each of the resonant
frequency spike is detected and subsequently suppressed, or, even better, eliminated.
As a frequency bin represents the minimum frequency resolution of a digital audio
system utilising FFT or other derived time-frequency transformation means, such as
STFT (Short-Time Fourier Transform), the specific spike frequency is identified within
a frequency bin to alleviate the need to suppress the entire frequency bin, even though
a single frequency spike is responsible for howling. In order to identify the spike
frequency within a frequency bin, spectrum analysis is performed by windowing operation
on the sampled time-domain sampled signal data. Specifically, the time-domain sampled
signal data of length N is multiplied by a spectrum analysis window of a length M,
where M<N and N is the FFT size which is typically a power of 2 larger than M.
[0035] This windowing operation serves two main purposes. Firstly, it increases the number
of bins per Hz, whereby increasing the accuracy of the subsequent frequency peak detection.
Secondly, it transforms a frequency spike into something easier to analyse. Specifically,
it transforms a frequency spike into an expanded frequency curve to facilitate easier
and more accurate peak detection.
[0036] For the first purpose, the spectrum analysis window is zero-padded so that the window
function X(n) has a zero value for:

[0037] The zero-padding factor N/M is also called an interpolating factor for the spectrum.
That is, each FFT bin is replaced by N/M bins, interpolating the spectrum.
[0038] To achieve the second purpose, a spectrum analysis window which operates to broaden
a frequency spike into a frequency curve is used. Gaussian, Hamming, Hanning, Blackman,
Nuttallwin, Bartlett and Bohmanwin are examples of suitable spike broadening window
functions. An exemplary application of the above with will described with reference
to the specific example below.
[0039] In order to identify the howling frequency, the time-domain sampled signal data are
first transformed into the frequency domain. Windowing operation is performed on the
sampled signal data, for example, by dot multiplication of a frame of sample data
by zero-padded Gaussian data, whereby the frequency spike is widened into a curve.
In choosing an appropriate windowing function, a windowing function which can operate
on a frequency spike to convert the frequency spike into a spectrum with a parabolic
-shaped peak and distribution is selected. The Blackman Window, the Hamming Window
and the Gaussian Window are examples of common windowing functions which have such
a parabolic-shaped peak and conversion characteristics.
[0040] In this example, Gaussian windowing is used to perform sample data multiplication
on the sampled signal data. Of course, it will be appreciated that the Fourier Transform
of a Gaussian function is itself a Gaussian function and the frequency passing characteristics
follow the well-known Gaussian curve. To implement Gaussian windowing operation, the
signal processing means (200) comprises a Gaussian window operator and a discrete
time-frequency transformation means such as an FFT operator. By performing a windowing
operation on the stored sample data by a Gaussian window, a howling frequency can
be located from a frequency bin to be explained below. The processing of the sampled
signal data to identify a howling frequency will also be described below.
[0041] After a data buffer is full, Gaussian windowing operation is performed on the stored
time domain signal data samples. The N windowed data points resulting from the Gaussian
operation are stored in the memory for processing by discrete time-frequency transformation
means. The FFT operator then transforms the N windowed data into the frequency domain.
[0042] The discrete time-frequency transformation means in this example is an FFT operator
with a size of N points. FFT operation on the N Gaussian windowed samples will result
in N/2+1 frequency bins. An FFT of a size N identical to the size of the data buffer
is selected so that there will be an identical number of resulting data frames. The
complex frequency data, comprising real and imaginary parts, are stored into a memory
buffer for use. An FFT with a size of N=1,024 is used in this example. Of course,
the FFT size N could be any convenient 2
x numbers such as 512, 1,024, 2,048, 4,096 etc. For an FFT size of N and a sampling
frequency of S, there will be N/2+1 frequency bins and the frequency resolution will
be S/N, which is 43.066 Hz for the instant example with N=1,024 and S=44.1 kHz.
[0043] The spectral analyzing means (300) comprises means for evaluating the magnitude of
the frequency bins. For example, the power or voltage spectrum of the frequency bins
can be calculated from the complex frequency components as is known to persons skilled
in the art.
[0044] The howling detection means (400) comprises means for identifying howling. Specifically,
the howling detection means (400) comprises means for identifying a frequency bin
with the maximum magnitude, means for comparing the maximum magnitude with a predetermined
threshold which represents or is indicative of a howling level, and means for confirming
the identification of a howling frequency. The maximum magnitude can be a power or
voltage magnitude which is indicative of howling. Of course, the howling level will
be adjustable depending on the application, environment or other factors known to
persons skilled in the art. The howling detection means will recognise a frequency
bin as one which contains a howling frequency if the magnitude of that frequency bin
has been the maximum among the plurality of frequency bins for a consecutive number
of times and the magnitude exceeds the maximum threshold which is pre-determined by
the system, for example, by user adjustment.
[0045] After a frequency bin containing a howling frequency has been identified, the howling
frequency identification means (500) operates to locate the specific howling frequency
from the entire frequency bin. In this example, parabolic interpolation is used to
locate the howling frequency within the frequency bin containing the peak magnitude
which is indicative of howling. Parabolic interpolation is used because this provides
a convenient way to identify a peak frequency from a parabolic shaped peak as shown
in Fig. 3.
[0046] The phenomenon of howling in an audio system is typically recognized by a characteristic
squeak sound. This squeak sound when translated into the frequency spectrum is typically
a single frequency spike which distinctively stands out from the spectrum floor in
its immediate and proximal vicinity to give it such a remarkable presence. When this
frequency spike undergoes Gaussian windowing and then FFT operations the resulting
frequency spectrum of the howling frequency has a Gaussian distribution with the peak
portion having a parabolic shape. This parabolic shaped Gaussian peak is dominant
in the frequency bin containing it and the neighbouring frequency bins since, by its
very nature, the magnitude of the howling frequency peak must be the dominant component.
The peak frequency, which is the howling frequency, can be isolated identified by
parabolic interpolation in an exemplary manner as described below.
[0047] Referring to Figs. 7 and 8, an exemplary application of parabolic interpolation to
identify a howling frequency is described. With reference to a system with a sampling
rate of 44.1 kHz and a sampling size of 1024 with a sinusoidal frequency spike at
1 kHz. Due to the resolution of each frequency bin, the 1 kHz spike frequency will
be located in bin number 23, since 1000/(44,100/1024) = 23.22. A Gaussian window of
128 points with the remaining points padded with zero is used in this example. In
particular, any number between 2 and 1024 can be used for a system with a sampling
size of 1024. Empirally, a number between 30 and 200 is found to produce a good result.
[0048] In order to locate the peak frequency with a finer resolution and better certainty,
a second order parabolic function G(f) is used to fit onto the peak portion of the
frequency spectrum, where, G(f) = af
2 + bf + c, where f is frequency in Hz. The coefficients of the parabolic function
G(f) are obtained by the magnitudes A
1, A
2 and A
3 at the frequencies f
1, f
2 and f
3, wherein f
1, f
2 and f
3 are the characteristic frequency of each frequency bin.
[0049] Thus, the second order function G(f) = af
2 + bf
/ + c can be solved by the following equations:-

and the respective coefficients a, b, c are:-

The frequency peak at

and the frequency (f) is

Consequently

where

[0050] General peak detection techniques are described in "An Analysis/Synthesis Program
for Non-Harmonic Sounds Based on a Sinusoidal Representation", by Julius O. Smith
III and Xavier Serra, Proceedings of the International Computer Music Conference (ICMC-87,
Tokyo), Computer Music Association, 1987" which is incorporated herein by reference.
[0051] After the howling frequency has been located, the howling frequency suppression means
(600) will operate to suppress the howling frequency. The howling frequency suppression
means can contain notch filters to suppress the howling frequency. To facilitate overall
howling suppression, the howling frequency suppression means may contain a fixed notch
filter and a dynamic filter. The fixed notch filter can be determined by the amplification
system at power up by calibrating the venue or room characteristics. The dynamic filter
is for suppressing instantaneous howling feedback which may be generated due to moving
objects, such as microphones. An exemplary notch filter with a notch depth µ is set
out below as a convenient example.

where fc = howling frequency
b1 = - 2.0*cos(2 π * Pi[i]*Q[i]/ 1024)* b0
b2 = b0
a1 = - 2.0*b0*cos(2 π * Pi[i]/ 1024)
a2 = 2.0*b0 - 1.0
b0 = b0 * µ + (1-µ)
b1 = b1 * µ + a1 * (1-µ)
b2 = b2 * µ + a2 * (1-µ)
[0052] An exemplary operation of the feedback suppression means of this invention will be
explained with reference to the flow diagram of Fig. 3. Referring to Fig. 3, when
the feedback suppression means is initiated, samples of the audio signals in the surrounding
environment are taken. The audio samples are then digitized and stored in memory.
The digitized sampled data are then operated by Gaussian windowing. The Gaussian window
operated sampled data are then fed into the FFT means. The FFT means then converts
the Gaussian windowed sample audio data into frequency domain components comprising
real and imaginary parts. The FFT operation will generate the N/2+1 frequency bins
and the real and imaginary parts of the N/2+1 frequency bins will be stored in memory.
Next, the frequency data of the frequency bins are operated to identify the frequency
bin with the maximum magnitude. After the frequency bin with the maximum magnitude
has been identified, the maximum magnitude will be compared to a pre-determined threshold
magnitude which represents howling. If the maximum magnitude occurs at the same frequency
bin for a consecutive number of times and the maximum magnitude exceeds the pre-determined
threshold magnitude for each of the consecutive repetition, the frequency bin containing
that maximum magnitude will be processed so that a howling frequency will be isolated
for suppression.
[0053] On the other hand, if the maximum magnitude does not occur at the same frequency
bin for a pre-determined number of consecutive number of time, the system counter
will be reset and the howling frequency seeking exercise will be repeated. Likewise,
even when the maximum frequency occurs at the same frequency bin for a pre-determined
number of times but the maximum magnitude does not exceed the threshold value for
each of the consecutive number of times, the system counter will be reset on the basis
that there is no annoying howling.
[0054] Once a frequency bin containing a howling frequency is identified, the system will
operate to isolate the specific howling frequency by matching a second order parabolic
function as mentioned above with the magnitude of the frequency bin (Pi) and the immediately
adjacent frequency bins (Pi-1 and Pi+1). After the specific howling frequency has
been identified by matching the second order parabolic function with the frequency
bins, the specific howling frequency will be suppressed by a very narrow notch filter
as understood by persons skilled in the art. Compared to conventional howling suppression
means in which the entire frequency bin containing the howling frequency is suppressed,
this invention represents a significant improvement since only a portion of the frequency
bin will be suppressed. As a result, audio signal distortion is reduced and fidelity
is enhanced.
[0055] While the present invention has been explained with reference to the examples or
preferred embodiments described above, it will be appreciated that those are examples
to assist understanding of the present invention and are not meant to be restrictive.
The scope of invention should be determined from the claims with reference to the
Figures and the description as understood by persons skilled in the art. Variations
or modifications which are obvious or trivial to persons skilled in the art, as well
as improvements made thereon, should be considered as falling within the scope and
boundary of the present invention.
[0056] Furthermore, while the present invention has been explained by reference to the use
of Gaussian windowing, it should be appreciated that the invention can apply, whether
with or without modification, to other windowing processing means without loss of
generality.
1. A method of acoustic feedback suppression, comprising the steps of:-
vi). obtaining digitized time-domain samples of acoustic signals,
vii). performing discrete time-frequency transformation on the digitized time-domain
samples to generate a plurality of frequency bins of a frequency resolution,
viii). identifying a howling frequency bin, said howling frequency bin containing
a maximum magnitude among the plurality of frequency bins,
ix). isolating a peak frequency within said howling frequency bin for suppression,
and
x). suppressing said peak frequency.
2. A method according to Claims 1 or 2, wherein each frequency bin is of a pre-determined
frequency resolution, the method further comprises the step of:-
■ increasing the frequency resolution of the howling frequency bin prior to frequency
peak detection.
3. A method according to any of the preceding Claim, wherein the frequency resolution
of the howling frequency bin is increased by frequency interpolation prior to howling
frequency detection.
4. A method according to any of the preceding Claim, wherein the frequency resolution
of the howling frequency bin is increased by zero-padded windowing.
5. A method according to Claim 3, wherein the time-domain acoustic samples are obtained
at a sampling frequency and the frequency resolution of a frequency bin is dependent
on the ratio between the sampling frequency and the size of the discrete time-frequency
transformation.
6. A method according to Claim 5, wherein the discrete time-frequency transformation
is FFT.
7. A method according to any of the preceding Claim, wherein a frequency bin is identified
as a howling frequency bin containing a howling frequency if the magnitude of that
frequency bin exceeds a pre-determined threshold magnitude threshold for a pre-determined
plurality of times.
8. A method according to Claim 7, wherein said magnitude being the power magnitude of
the frequency bins.
9. A method according to any of the preceding Claim, wherein a frequency peak within
the howling frequency bin is detected by subjecting the time-domain acoustic samples
to a windowing operation, the windowing operation is performed with a windowing function
which operates to convert a frequency spike into a frequency spectrum with a spread
peak.
10. A method according to Claim 9, wherein said spread peak has a parabolic shape.
11. A method according to Claim 10, wherein the windowing function is Gaussian distributed.
12. A method according to Claim 11, wherein the Gaussian windowing function is zero padded,
the time-domain samples of said acoustic signals are multiplied by the Gaussian windowing
function whereby the frequency spectrum after the time-frequency transformation is
broadened.
13. A method according to Claim 10, wherein the windowing function size is a number between
2 and 1024.
14. A method according to Claim 10, wherein the windowing function size is a number between
30 and 200.
15. A method according to Claim 10, wherein the windowing function size is 128.
16. A method according to Claim 9, wherein the windowing function has a parabolic-shaped
peak.
17. A method according to Claim 9, wherein the windowing function is a Blackman window,
a Hamming window, a Hamming window or a Gaussian window.
18. A method according to Claim 9, wherein the windowing function is zero padded, the
time-domain samples of said acoustic signals are multiplied by the windowing function
whereby the frequency spectrum after the time-frequency transformation is broadened.
19. A method of acoustic feedback suppression according to any of the preceding Claim,
wherein the discrete time-frequency transformation of said digitized timed-domain
samples of said acoustic signals is by Fast Fourier Transform (FFT) with a pre-determined
frame size, the number of said frequency bins being half of the frame size plus one,
the frequency resolution of each said frequency bin being equal to the sampling frequency
divided by the frame size.
20. A method of acoustic feedback suppression according to Claim 19, wherein the howling
frequency is located by matching a second order parabolic function to the howling
frequency bin and the immediately adjacent frequency bins, the peak of said parabolic
curve being said howling frequency.
21. A method of acoustic feedback suppression according to Claim 20, wherein the second
order parabolic function has the following form:
howling frequency = -0.5*(bn*ad) /(bd*an), where
an = (A1-A2)*(f1-f3) - (A1-A3)*(f1-f2)
ad = (f1^2 -f2^2)*(f1-f3) - (f1^2-f3^2)* (f1-f2)
bn = (A1-A2)* (f1^2-f3^2) - (A1-A3)* (f1^2 -f2^2)
bd = (f1-f2)* (f1^2-f3^2) - (f1-f3)* (f1^2 -f2^2)
wherein, f2 is the frequency of frequency bin Pi with the maximum magnitude , f1 is
the frequency of frequency Pi-1, f3 is the frequency of frequency Pi+1
A2 is the power magnitude of Pi, A1 is the power magnitude of (Pi-1), A3 is the power
magnitude of (Pi+1).
22. A method of acoustic feedback suppression according to claim 9, wherein if the maximum
power magnitude does not exceed said pre-determined power magnitude threshold for
a pre-determined number of times, no howling frequency suppression will be performed.
23. A method of acoustic feedback suppression according to claim 1, wherein suppression
of the howling frequency is by a notch filter.
24. An audio system comprising means for suppressing howling, said means for suppressing
howling comprises:
i. means for obtaining digitized time-domain samples of acoustic signals,
ii. means for performing discrete time-frequency transformation on the digitized time-domain
samples to generate a plurality of frequency bins of a frequency resolution,
iii. means for identifying a howling frequency bin, said howling frequency having
the maximum magnitude among the plurality of frequency bins,
iv. means for detecting a peak frequency within said howling frequency bin for suppression,
and
v. means for suppressing said peak frequency.
25. An audio amplification system comprising means to facilitate a method of acoustic
feedback suppression according to any of the preceding Claims 1-23.