[0001] The present invention relates to an assembly comprising a capacitive transducer feeding
a signal to an amplifier with a bootstrap reducing a resonance peak of the transducer.
[0002] A first aspect of the invention relates to an assembly comprising:
- a capacitive transducer comprising two transducer terminals, the transducer being
configured to sense a variation and output a corresponding signal on at least one
of the terminals, the transducer having a response with at least one resonance frequency,
- an amplifier having an amplifier input and an amplifier output,
- a first connection element connecting one of the transducer terminals to the amplifier
input,
- a second connection element connected to the amplifier output and the connection element
(such as amplifier input),
where the second connection element comprises a capacitor and low pass filter,
the low pass filter having a cut-off frequency of the low-pass filter is lower than
the at least one resonance frequency and
the capacitor having a capacitance of no more than 800% of a capacitance of the transducer.
[0003] In this respect, the elements of the assembly may be provided in a single housing
or even in the same chip. Alternatively, different elements may be provided separately
and interconnected, such as by electrical conductors.
[0004] A transducer is an element configured to sense or detect a parameter of the transducer
or its surroundings, such as vibration or sound. Often, the transducer will have a
stationary element and a movable element and will output a signal corresponding to
a variation of a distance between the movable element and the stationary element.
In this respect, corresponding often means that the frequency contents of the output
signal, at least within a predetermined frequency interval, corresponds to that of
the parameter detected.
[0005] Naturally, which element is stationary and movable will depend on in which coordinate
system one views the system. In many situations, the movable element is more resilient
and bendable, for example, than the stationary element, so that the stationary element
is stationary in relation to a remainder, such as a housing, of the transducer. Naturally,
multiple movable elements may be used in addition to or instead of a movable element
and a stationary element. Also, multiple stationary elements may be used together
with the one or more movable elements.
[0006] The transducer has at least two transducer terminals. The output signal is normally
output as a difference in voltage between two terminals. Thus, the output may be seen
as derived from one of the terminals, if the other is kept at a predetermined, fixed
voltage, such as ground.
[0007] A capacitive transducer is an electro-acoustical or electro-mechanical transducer,
the capacitance of which varies with the parameter sensed. An electrical field may
be generated in the transducer by biasing two elements therein (providing a voltage
between the elements) and/or by permanently charging an element. When that or another
element moves within that field, an output signal may be derived which relates to
the change in capacitance due to this movement.
[0008] Capacitive transducers have at least one movable element which has a mass and a spring
constant and thus has a resonance frequency. This resonance frequency will be a frequency
at which the output signal has, compared to an input signal causing the output, a
higher output intensity, such as a higher voltage. A resonance peak is a peak in the
output characteristics or response of the transducer where the output it higher when
normalized to a predetermined input (excitement) value. For e.g. a vibrating element
induced at its resonance frequency, the vibration amplitude may be higher, causing
the output to be higher.
[0009] Naturally, multiple resonance frequencies or peaks may exist in the output response
of the transducer.
[0010] An amplifier is an element which is configured to receive an input signal and output
an output signal where the intensity (voltage/current or the like) of the output signal
has been amplified. In this respect, an amplification may be higher than 1, so that
the intensity output is higher than that received, or lower than 1, whereby the intensity
output is lower than that received. An amplification of 1 outputs the same intensity.
This may be desired for other purposes, such as for altering the apparent impedance
of a circuit receiving the output of the amplifier compared to the component feeding
the signal to the amplifier. The amplification may also be negative, whereby the polarization
of the signal output of the amplifier is the opposite of that received.
[0011] Naturally, an amplifier may have multiple inputs. Often, when a single input is described,
any additional inputs may be provided with predetermined signals or voltages, such
as ground.
[0012] Thus, between the transducer terminal and the amplifier input, a first transporting
element is provided which may simply be a conductor or which may comprise components
for altering the signal output of the transducer before inputting a signal to the
amplifier. Preferably, any components of the transporting element are passive, i.e.
require no separate power supply.
[0013] A second connection element is connected to the amplifier output and the first connection
element, such as the amplifier input. This second connection element comprises a capacitor
and low pass filter.
[0014] Low pass filters have a cut-off frequency below which it is not desired to attenuate
the signal but above which attenuation is desired. Usually, the filter will have an
attenuation increasing with frequency and not a sharp change in its filtering characteristics.
Often, a cut-off frequency is described as the frequency at which a predetermined
attenuation is seen, such as an attenuation of 3dB (also called a -3dB point). According
to the invention, the cut-off frequency of the low-pass filter is lower than the at
least one resonance frequency, so that the signal output of the low pass filter will
have frequencies at the resonance frequency in question attenuated.
[0015] The second transporting element additionally has a capacitor having a capacitance
of 50%-800% of a capacitance of the transducer.
[0016] For signals from the transducer with a frequency below the cut-off frequency of the
filter, the voltage on both sides of capacitor preferably are approximately equal
(the capacitor is being "bootstrapped"), so that the capacitor thus does not load
the transducer. For signal frequencies above the cut-off, however, the capacitor is
preferably not bootstrapped, and thus loads the transducer, and the signal is attenuated.
[0017] Thus, the operation of the low pass filter is to control the operation (bootstrapping)
of the capacitor, the operation of which is to load the transducer at frequencies
above the cut-off frequency of the low pass filter.
[0018] When the low pass filter is positioned closer to the amplifier output and the capacitor
closer to the first connection element, such as when the capacitor is connected to
the first connection element or the transducer, the capacitor is bootstrapped for
the low frequencies passed by the filter.
[0019] In one embodiment, the cut-off frequency is 30%-100% of the at least one resonance
frequency, such as 40-90%, 50-85%, or 60-80% of the resonance frequency.
[0020] In one situation, the capacitance of the capacitor is 600% or less, such as 500%
or less such 400% or less, such as 300% or less of the capacitance of the transducer.
The capacitor capacitance may alternatively be selected in the interval of 50-600%,
such as 90-500%, such as 100-400% of the capacitance of the transducer.
[0021] Naturally, the properties of the second connection element may be adapted, such as
to different types of transducers or different uses thereof, such as different resonance
frequencies thereof. This may e.g. be achieved when the capacitor has a programmable
or selectable capacitance. A capacitor may have an adaptable capacitance, or multiple
capacitors may be provided and chosen from.
[0022] Also, the properties, such as the cut-off frequency, the slope and the like of the
low pass filter may be adapted to the transducer and/or resonance frequency.
[0023] In one embodiment, the assembly further comprises a voltage supply configured to
output a voltage, where the transducer comprises:
- a movable element,
- one or more stationary elements, and
- a voltage input configured to receive the voltage and provide the first voltage between
two of the movable element and the stationary element(s),
where each transducer terminal is connected to one of the movable element and the
stationary element(s).
[0024] As mentioned above, a transducer terminal may be connected to a predetermined voltage,
such as ground. Otherwise, generally, the output from that terminal may also be fed
to the amplifier, if desired.
[0025] Any number of stationary elements may be provided. Often one or two stationary elements
are provided in situations where the movable element is a plane element, where the
stationary element(s) is/are also plane element(s) provided parallel to the movable
element in a desired distance so that the movable element may move while being in
a vicinity of the stationary element(s). Transducers of this type may be microphones,
where the movable element may then be a diaphragm.
[0026] The voltage is provided between two of the movable element and the stationary element(s).
If a single stationary element is provided, the voltage is provided between the stationary
element and the movable element. If two stationary elements are provided, the voltage
may be provided between the stationary elements or between one stationary element
and the movable element. Naturally, different voltages may be provided to all of the
stationary elements and the movable element.
[0027] Multiple movable elements may also be provided if desired, where any additional movable
element may also receive a voltage or output a signal.
[0028] An output of the transducer may be derived from any one or more of the stationary
element(s) and the movable element. Usually, the output of the transceiver will depend
on the movement or position of the movable element in relation to the stationary element(s).
[0029] In this embodiment, the first connection element may comprise a capacitor. This capacitor
may provide a DC decoupling between the transducer terminal and the amplifier, so
as to not affect the charging of the transducer.
[0030] A transducer of this type may be a MEMS transducer, i.e. a transducer manufactured
using the MEMS technology.
[0031] In general, the gain of the amplifier may be selected for a number of reasons. In
one situation, the amplifier gain is desired to be around 1 in order to not amplify
or attenuate the signal from the transducer but simply adapt the impedance "seen"
by circuitry for receiving the output of the present assembly.
[0032] Thus, generally, the amplifier gain is preferred in the interval of 0.5 and 2.
[0033] Another consideration for defining the amplifier gain is that at a predetermined
frequency below the cut-off frequency of the filter, a resulting voltage on both sides
of the capacitor - one provided by the transducer and the other from the amplifier
output and the low pass filter preferably are within 20%, such as within 10% of each
other (the 20/10% being from the higher of the two voltages). Thus, if the low pass
filter has an attenuation at that frequency, the amplifier gain may be adjusted to
reduce the voltage difference over the capacitor.
[0034] Preferably, the low pass filter is positioned in series with the capacitor, the low
pass filter being positioned closer to the amplifier output and the capacitor is connected
directly to the transport element and/or the transducer.
[0035] Preferably, a capacitance of the capacitor is no more than

times a capacitance of the transducer, where x is a ratio between a minimum distance
and an unbiased distance of the transducer and ϕ is a ratio between bias voltage and
pull-in voltage of the transducer
[0036] Thus, from parameters of the transducer (see further below), a maximum capacitance
of the capacitor may be determined. Naturally, the capacitance of the capacitor may
be selected to be below 90% of this maximum, such as below 80%, such as in the interval
of 50-95% of this maximum, such as in the interval of 60-80%.
[0037] A second aspect of the invention relates to an amplifier unit for use in the assembly
according to any of the preceding claims, the amplifier unit comprising:
- a first and a second input terminals,
- an amplifier having an amplifier input and an amplifier output,
- a first connection element connecting the first input terminal to the amplifier input,
- a second connection element connected to the amplifier output and the amplifier input,
the second connection element comprising a low pass filter and a capacitor, the low
pass filter having a selectable or programmable cut-off frequency and the capacitor
having a selectable or programmable capacitance.
[0038] Naturally, the above considerations, embodiments and situations are equally relevant
in relation to the second aspect. Thus, the adaptability of the capacitance and the
cut-off frequency are desired in order to make the unit versatile and useful for combining
with a number of different transducers.
[0039] Naturally, the second connection element may comprise the above capacitor and any
other components desired, such as high-impedance elements and the like.
[0040] The unit may also comprise the above voltage supply providing the voltage to the
transducer, so that the transducer terminals may simply be connected to the input
terminals, where all other elements are provided in the unit. Then, such elements,
such as the voltage supply, may also be adaptable to a particular type of transducer.
[0041] The present embodiments may be combined with a number of other advantageous improvements
of systems, such as the Applicants co-pending applications filed on even date and
with the titles: "A CIRCUIT FOR PROVIDING A HIGH AND A LOW IMPEDANCE AND A SYSTEM
COMPRISING THE CIRCUIT", "A TRANSDUCER WITH A HIGH SENSITIVITY", "A SENSING CIRCUIT
COMPRISING AN AMPLIFYING CIRCUIT AND THE AMPLIFYING CIRCUIT" and "A PHASE CORRECTING
SYSTEM AND A PHASE CORRECTABLE TRANSDUCER SYSTEM". These references are hereby incorporated
by reference.
[0042] In the following, preferred embodiments of the invention will be described with reference
to the drawing, wherein:
- Figure 1 illustrates a first embodiment of the invention,
- Figure 2 illustrates a second embodiment of the invention,
- Figure 3 illustrates a third embodiment of the invention,
- Figure 4 illustrates the frequency response and the effect of the bootstrapping and
- Figure 5 illustrates a manner of determining a maximum value for a ratio between load
capacitance and sensor capacitance.
[0043] In figure 1, an assembly 10 is illustrated where a capacitive transducer 12 outputs
a signal on one terminal (the other terminal is connected to ground) to an input of
an amplifier 20. The output of the amplifier is fed to a connection element comprising
a low pass filter 25 and a capacitor 28 to feed a low pass filtered signal to the
amplifier input.
[0044] The present transducer 12 has a response (output intensity/voltage as a function
of received frequency) having one or more resonance peaks. Such resonance peaks are
frequencies or frequency intervals where the output is higher than at other frequencies.
Often, such resonance frequencies are in an upper frequency portion of a relevant
frequency interval.
[0045] For microphones, the relevant frequency interval is 20Hz - 20kHz, such as 100Hz-10kHz
and resonance frequencies often are higher than 10kHz. Often, microphones are based
on capacitive microphones, such as MEMS devices, electret devices, or piezo electric
devices.
[0046] For vibration sensors, the relevant frequency interval is 100Hz-5kHz and resonance
frequencies are often seen around 3-4kHz . Often, vibration sensors are obtained using
capacitive elements.
[0047] Piezo transducers often have resonance frequencies at about 25kHz, where the peak
may be more than 15dB higher than a mean value at e.g. a reference frequency of 1
kHz. Thus, a cut-off frequency of between 10kHz and 20kHz and a slope of 6dB/oct or
higher could be useful in relation to such transducers.
[0048] MEMS transducers often have resonance frequencies at about 15kHz, where the peak
may be more than 10 dB higher than a mean value at e.g. 1 kHz. Thus, a cut-off frequency
of between 8kHz and 12kHz and a slope of 6dB/oct could be useful in relation to such
transducers.
[0049] For signals from the transducer with a frequency below the cut-off frequency of the
filter, the voltage on both sides of capacitor 28 is approximately equal (the capacitor
is being "bootstrapped"), and the capacitor thus doesn't load the transducer. For
signal frequency above the cut-off, however, the capacitor is not bootstrapped, and
thus loads the transducer, and the signal is attenuated.
[0050] A capacitive sensor or transducer may be biased or not. A biased sensor has one or
more elements, one being movable in relation to the other, between which a voltage
is provided and the relative movement of which is detected.
[0051] Ideally, a biased capacitive sensor, such as the transducer of figure 2, is operated
in constant charge mode, so that collapse cannot occur.
[0052] A capacitive load, such as the capacitor 28, connected to the transducer behaves
as a charge buffer, and thus disturbs the constant charge operation and negatively
affects the stability of the transducer.
[0053] In transducers where the movement of the diaphragm (or other movable element) is
mechanically limited, so that the diaphragm cannot touch the backplate (or other stationary
element), this mechanical limitation allows some deviation from the strict constant-charge
condition.
[0054] Depending on (1) the ratio of the minimum distance and the unbiased distance '
x', and (2) the ratio of the operating bias voltage and the pull-in voltage '
ϕ', a certain maximum capacitive load can be allowed. This maximum can be expressed
as a ratio with the capacitance of the sensor '
y'.
[0055] E.g., using a parallel plate approximation for the sensor,

so that if the minimum distance '
x' is 1/3
rd of the air gap, and the applied bias 'ϕ' is 90% of the pull-in voltage, the maximum
load capacitance 'y' is about 4 times the capacitance of the sensor. In practice a
lower value may be used in order to allow for parasitic capacitances in the circuit.
[0056] In figure 5, the maximum value for the ratio y (load capacitance / sensor capacitance)
is illustrated for a variety of values for the ratio x (unbiased distance / minimum
distance; X=10, 15, 20, 25 and 30%) as a function of ratio ϕ (bias voltage / pull-in
voltage). The total load capacitance connected to the sensor preferably is smaller
than this maximum in order to prevent collapse. For the value of the capacitor 28
this means that any parasitic capacitance should be taken in to account, including
some margin for manufacturing variance.
[0057] In addition, the slope of the low pass filter may be selected so that the resulting
filtering of the transducer signal is suitable. Naturally, the order of the filter
may be selected in order to obtain the filtering characteristics sought.
[0058] The amplifier gain preferably is positive. Naturally, the gain may be adapted to
the filtering characteristics, but often, the gain is desired to be around 1 or smaller
than 1. Thus, the function of the amplifier may also be that of an impedance adaptation
to what is desired by circuitry to receive the output of the present system.
[0059] In this manner, the resonance peak may be reduced but the frequencies below the cut-off
need not be affected to any significant degree.
[0060] This bootstrapping can reduce the resonance peak and thus the requirements on the
amplifier. Thus, a larger headroom may be obtained, or the supply voltage to the amplifier
may be reduced to save power in battery operated situations.
[0061] In figure 4, an example of this result is seen where the upper graph is the output
or response of a transducer. The resonance peak is 15dB higher than the output at
1000Hz. The signal fed back to the amplifier input is the middle graph and has the
resonance peak reduced to 11dB. The amplifier output is the lowest graph where the
resonance peak is reduced to 8dB. This reduction of the resonance peak without to
any significant degree affecting the frequencies below a few thousand Hz is obtained
using a capacitance of the capacitor 28 being about 1.5 times the capacitance of the
transducer, and a filter with -3dB point at 8kHz.
[0062] In figure 2, a set-up 10 is illustrated having a transducer 12, preferably a biased
MEMS transducer, having a diaphragm d and a back plate bp between which a biasing
voltage is provided. An output of the transducer 12 is correlated with a distance
between the diaphragm and back plate so that when the diaphragm is vibrated, such
as when exposed to sound, a correspondingly varied output is seen.
[0063] The output of the transducer 12 is fed through a capacitor 18 to the amplifier 20.
The desired operation of the capacitor 18 is to transfer the varying signal from the
transducer without creating a DC connection between the transducer and the remainder
of the circuit, as this could destroy the biasing of the transducer. Thus, the capacitor
preferably has a value being sufficiently high. At present, the capacitor 18 is at
least 2, such as at least 4, such as at least 6, such as at least 8 times the capacitance
of the transducer.
[0064] In usual set-ups of this type, a biasing circuit is provided comprising a charge
pump 22 and a high impedance element 24, such as a pair of anti-parallel diodes, generating
a high impedance at the terminal of the transducer where the signal is derived. Also,
a high impedance element 26, such as a pair of anti-parallel diodes, is preferably
provided between ground and the connector between the capacitor 18 and the amplifier
input, to provide a high impedance at this position.
[0065] The output of the transducer has an output voltage swing defined by at least the
biasing voltage 22 but also any resonance peaks of the transducer. This puts requirements
on the amplifier, as a maximum output voltage swing may be rather large especially
at the resonance frequency.
[0066] Again, the bootstrapping is provided feeding the output signal back to another capacitor
28 provided in series with the low pass filter. In this embodiment, the output of
the low pass filter 25 is the output of the assembly and thus will be fed to any subsequent
circuitry for receiving the output.
[0067] In figure 2, the bootstrap (output of capacitor 28) is connected between capacitor
18 and the amplifier input. However, the bootstrap may be connected to any portion
of the circuit between the transducer output (diaphragm) and the amplifier input.
[0068] One may call the diaphragm, in this embodiment, a high impedance terminal, as the
impedance is defined by the element 24 creating a high impedance, and the back plate
a low impedance terminal, as in this embodiment, it is connected to ground.
[0069] Usually, when biased transducers are used, the biasing voltage of the transducer
12 is much higher than the supply voltage to the amplifier 20 in order to obtain a
suitable sensitivity of the transducer. However, the output voltage swing of the transducer
is, in fact, even higher, as the diaphragm may move from a position far from its rest
position and far away from the back plate to an opposite position very near to the
back plate. Thus, in theory, the output of the transducer may be up to twice the biasing
voltage. Often, the movement of the diaphragm is physically limited in the direction
toward and close to the back plate in order to ensure that the diaphragm does not
touch the back plate.
[0070] The transducer output voltage swing is partially reduced by the present bootstrapping,
but it may nevertheless be desired, in order for the amplifier to be able to handle
such an output voltage swing, to supply the amplifier with a comparable supply voltage
being at least 40% but preferably at least 50%, 60%, 80%, 90%, 100%, 120%, 125%, 130%,
140% or more times the biasing voltage to the transducer.
[0071] In this manner, the input voltage swing of the amplifier is sufficiently large for
it to handle the output of the transducer without distorting or removing part of the
received signal.
[0072] In figure 3, an alternative assembly to that if figure 2 is seen where an additional
low-pass filter 251 is seen. In this situation, two low pass filters, 25 and 251 are
provided, which may be different, one is provided in the bootstrap/feed back and the
other for filtering the output of the amplifier to provide a filtered output of the
assembly.
[0073] Naturally, all types of capacitive sensors may be used, such as piezo, MEMS, electret,
or biased capacitive sensors, like microphones and acceleration sensors.
[0074] Above, biased sensors are described having a diaphragm and a single back plate with
the diaphragm biased. Naturally, the back plate may be biased, and any of the two
elements may be used for generating the output of the transducer.
[0075] Also, multiple back plates may be provided. Usually, a back plate on either side
of the diaphragm is provided and the biasing voltage provided between the diaphragm
and a back plate. Alternatively, the biasing voltage may be provided between the two
back plates. The output may be derived from the diaphragm or a back plate or from
both back plates such as if these are connected to inputs of a differential amplifier.
[0076] The above assemblies may be divided into building blocks, where the amplifier and
bootstrapping circuit (low pass filter and capacitor - see hatched block in figure
1) may be made more general and adaptable to multiple transducers or transducer types.
This adaptation may be obtained by providing an adaptable low pass filter (variable
resistance/capacitance or multiple resistors and/or capacitors to choose from, variable
cut-off frequency and/or slope), multiple values of the capacitor 28 or a variable
capacitance thereof and where the amplifier may have a variable gain.
[0077] If the transducer is a biased transducer, also the capacitor between the amplifier
and the transducer may be included in the building unit (see hatched outline in figure
2). In this situation, also the charge pump 22 and the high impedance element 24 may
be included in the general building block.
[0078] In that situation, the general purpose amplifier unit 11 (amplifier and bootstrapping
loop with filter and capacitor) may be connected to a variety of transducers and transducer
types and then be programmed or adapted to a particular transducer or transducer type.
[0079] This unit may have two terminals for connection to the transducer 12. One terminal
may (see hatched line figure 2) simply be one connected to ground. Also, the biasing
circuits 22/24 may be provided in the unit 11 if desired.
1. An assembly comprising:
- a capacitive transducer comprising two transducer terminals, the transducer being
configured to sense a variation and output a corresponding signal on at least one
of the terminals, the transducer having a response with at least one resonance frequency,
- an amplifier having an amplifier input and an amplifier output,
- a first connection element connecting one of the transducer terminals to the amplifier
input,
- a second connection element connected to the amplifier output and the first connection
element,
where the second connection element comprises a capacitor and low pass filter,
the low pass filter having a cut-off frequency of the low-pass filter is lower than
the at least one resonance frequency and
the capacitor having a capacitance of no more than 800% of a capacitance of the transducer.
2. An assembly according to claim 1, wherein the cut-off frequency is 30%-100% of the
at least one resonance frequency.
3. An assembly according to any of claims 1 and 2, wherein the capacitance of the capacitor
is no more than 500% of the capacitance of the transducer.
4. An assembly according to any of the preceding claims, wherein the capacitor has a
programmable or selectable capacitance.
5. An assembly according to any of the preceding claims, further comprising a voltage
supply configured to output a voltage, where the transducer comprises:
- a movable element,
- one or more stationary elements, and
- a voltage input configured to receive the voltage and provide the first voltage
between two of the movable element and the stationary element(s),
where each transducer terminal is connected to one of the movable element and the
stationary element(s).
6. An assembly according to claim 5, wherein the first connection element comprises a
capacitor.
7. An assembly according to claim 5 or 6, wherein the transducer is a MEMS transducer
8. An assembly according to any of the preceding claims, wherein the amplifier has a
gain in the interval of 0.5 and 2.
9. An assembly according to any of the preceding claims, wherein the capacitor and low
pass filter are connected in series, the low pass filter being provided closer to
the amplifier output.
10. An assembly according to any of the preceding claims, wherein a capacitance of the
capacitor is no more than

times a capacitance of the transducer, where x is a ratio between a minimum distance
and an unbiased distance of the transducer and ϕ is a ratio between bias voltage and
pull-in voltage of the transducer.
11. An amplifier unit for use in the assembly according to any of the preceding claims,
the amplifier unit comprising:
- a first and a second input terminals,
- an amplifier having an amplifier input and an amplifier output,
- a first connection element connecting the first input terminal to the amplifier
input,
- a second connection element connected to the amplifier output and the amplifier
input,
the second connection element comprising a low pass filter and a capacitor, the low
pass filter having a selectable or programmable cut-off frequency and the capacitor
having a selectable or programmable capacitance.