CN109831179A - A kind of operation transconductance amplifier-capacitor wavelet filter - Google Patents
A kind of operation transconductance amplifier-capacitor wavelet filter Download PDFInfo
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- CN109831179A CN109831179A CN201910044960.0A CN201910044960A CN109831179A CN 109831179 A CN109831179 A CN 109831179A CN 201910044960 A CN201910044960 A CN 201910044960A CN 109831179 A CN109831179 A CN 109831179A
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- transconductance amplifier
- operation transconductance
- capacitor
- wavelet
- output end
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Abstract
The invention discloses a kind of operation transconductance amplifier-capacitor wavelet filters, including 6 operation transconductance amplifier gm1~gm6With 5 capacitor C1~C3、CL1、CL2.The present invention can pass through the transconductance value g of adjusting operation transconductance amplifiermRealize the continuous wavelet transform of different scale, have many advantages, such as that structure is simple, sensitivity is low, can real time signal processing, it is particularly suitable for low-voltage, the realization of low-power consumption large scale integrated circuit, can be applied to the analogy signal processing unit of micromation, the portable and wearable biomedical sensor of low power consuming.
Description
Technical field
The present invention relates to signal processing technology field more particularly to a kind of operation transconductance amplifier-capacitor wavelet filters.
Background technique
As a kind of signal processing method, Fourier transformation and short time discrete Fourier transform office are inherited and developed to wavelet transformation
The thought in portion overcomes time frequency window disadvantage not varying with frequency, has preferable multiscale analysis characteristic, very suitable
Analysis and processing for non-stationary signal.The application field of wavelet transformation is very extensive, has been applied to electrocardio, brain electricity etc. at present
In the analysis and processing of signal.Since computation complexity is high, time-consuming, the software implementation method of wavelet transformation is not able to satisfy signal
The requirement of real-time of processing.To overcome this disadvantage, the high-performance hardware of wavelet transformation is implemented as key.
Currently, more and more analog filters are used for low frequency applications field, such as wearable biomedical sensor
Analogy signal processing unit.For this battery powered bio signal monitoring device, the low power dissipation design of circuit is extremely closed
It is important.Since bio signal has the characteristics that low-dynamic range and low signal-to-noise ratio, the analog circuit of signal processing are realized compared to number
Word circuit, which is realized, has lower power consumption.Therefore, wavelet transformation analog filter realization more meet wavelet conversion circuit towards
Small size, low-power consumption development trend.Often circuit structure is complicated for existing analog wavelet filter design, and sensitivity is higher, tool
Have the shortcomings that volume and power consumption are big, be not easy single-chip integration, is unable to satisfy that miniaturization, low power consuming be wearable, portable electronic product
The application demand of middle signal processing module.
Summary of the invention
In order to solve existing analog wavelet filter, the present invention provides a kind of operation transconductance amplification
Device-capacitor wavelet filter.The present invention has the characteristics that structure is simple, sensitivity is low, is convenient for single-chip integration, can be in low-power consumption
Under the conditions of realize signal continuous wavelet transform, be suitable for miniaturization, the portable and wearable biomedical sensor of low power consuming
The application demand of middle signal processing module.
4, the technical solution adopted by the present invention to solve the technical problems is: operation transconductance amplifier-capacitor wavelet filtering
The transmission function of device is
Wherein, Ha(s) realize that the continuous wavelet transform in scale a=1, morther wavelet are Mexico's hat wavelet.
5, above-mentioned operation transconductance amplifier-capacitor wavelet filter, including 6 operation transconductance amplifier gm1~gm6With 5
A capacitor C1~C3、CL1、CL2。
The operation transconductance amplifier gm1Positive input and operation transconductance amplifier gm2Positive input phase continuous cropping
For operation transconductance amplifier-capacitor wavelet filter input terminal；
The operation transconductance amplifier gm1Reverse input end and gm1Output end, operation transconductance amplifier gm2Output
End, operation transconductance amplifier gm3Positive input be connected；
The capacitor C1Both ends respectively with operation transconductance amplifier gm3Positive input with ground be connected, capacitor C2Two
End respectively with operation transconductance amplifier gm4Output end and operation transconductance amplifier gm3Positive input be connected；
The operation transconductance amplifier gm3Reverse input end be connected to the ground, gm3Output end and operation transconductance amplifier
gm2Reverse input end be connected；
The capacitor CL2Both ends respectively with gm3Output end with ground be connected；
The operation transconductance amplifier gm4Reverse input end and operation transconductance amplifier gm5Output end, operation transconductance
Amplifier gm6Positive input be connected, gm4Positive input with ground be connected, gm6Reverse input end and gm6Output end phase
Even；
The operation transconductance amplifier gm5Positive input and operation transconductance amplifier gm4Output end be connected, gm5's
Reverse input end and operation transconductance amplifier gm6Output end be connected it is defeated as operation transconductance amplifier-capacitor wavelet filter
Outlet；
The capacitor CL1Both ends respectively with gm5Output end with ground be connected, capacitor C3Both ends respectively with gm6Output
End is connected with ground.
6, in above-mentioned operation transconductance amplifier-capacitor wavelet filter, 6 operation transconductance amplifier gm1~gm6With 5
Capacitor C1~C3、CL1、CL2Meet following relationship:
As the transconductance value g of operation transconductance amplifierm1~gm6When determining, capacitance C can be calculated1~C3、CL1、CL2。
The technical effects of the invention are that: it is right the invention proposes a kind of operation transconductance amplifier-capacitor wavelet filter
Than existing analog wavelet filter, the present invention has system power dissipation low, handles in real time, circuit structure is simple, and complexity is low, nothing
A/D equipment, small in size, the advantages that being easy to single-chip integration, change previous wavelet technique can not be applied to minimize it is wearable
The status of signal processing unit in electronic product, has expanded the application range of wavelet transformation.
The present invention is further illustrated with reference to the accompanying drawings and examples.
Detailed description of the invention
In order to illustrate the technical solution of the embodiments of the present invention more clearly, required use in being described below to embodiment
Attached drawing be briefly described, it should be apparent that, drawings in the following description are only some embodiments of the invention, for this
For the those of ordinary skill of field, without any creative labor, it can also be obtained according to these attached drawings other
Attached drawing.
Fig. 1 is operation transconductance amplifier-capacitor wavelet filter circuit diagram；
Fig. 2 (a) is the replacement circuit of transmission zero at two kinds of achievable s=0；
Fig. 2 (b) is the replacement circuit of transmission zero at two kinds of achievable s=∞；
Fig. 3 is a kind of general LC trapezium structure filter circuit；
Fig. 4 is two kinds of replacement circuits that inductance is realized using gyrator；
Fig. 5 is a kind of realization circuit of operation transconductance amplifier；
Fig. 6 is a kind of operation transconductance amplifier for realizing scale a=1-capacitor wavelet filter.
Specific embodiment
Operation transconductance amplifier-capacitor wavelet filter circuit diagram, including 6 fortune are given referring to Fig. 1, Fig. 1
Calculate trsanscondutance amplifier gm1~gm6With 5 capacitor C1~C3、CL1、CL2.By the transconductance value g for adjusting operation transconductance amplifierm1~gm6
The continuous wavelet transform of different scale a may be implemented.
The principle of wavelet transformation is realized with analog filter are as follows:
The continuous wavelet transform of input signal f (t) is f (t) and wavelet function race in L2(R) make inner product on, i.e.,
Formula mesoscale a and shift factor τ is continuous variable.
Enable the impulse response h of certain linear analogue filter networka(t) are as follows:
Then wavelet transformation definition may be expressed as: again
As it can be seen that it is h that the wavelet transformation in scale a, which can regard input signal f (t) as by impulse response,a(t) mould
The filtering of quasi- filter (i.e. wavelet filter).
Ideal analog filter transmission function should be the form of rational fraction, and the stability in order to guarantee system, have
The pole of reason fraction should be entirely located in the Left half-plane of s plane.And common wavelet function does not have these features, therefore needs
It will be to ha(t) rational fraction approximation is carried out, thus the analog filter transmission function under obtaining corresponding scale.
Operation transconductance amplifier of the present invention-capacitor wavelet filter impulse response is Mexico's hat wavelet letter
Number, transmission function of the corresponding wavelet transformation when scale is 1 are as follows:
For the analog bandpass filter for designing above-mentioned 5 rank transmission function, a kind of general LC ladder-type filter structure is selected.
The key of the trapezoidal synthesis of LC is to realize H using the arrangement of suitable componenta(s) all dead-center positions in, and it is numerically real
Existing Ha(s) each coefficient.Gain can be compensated by subsequent amplification circuitry.
As shown in Fig. 2, the transmission zero at s=0 can be realized by series electrical perhaps shunt inductance；At s=∞
Transmission zero can be realized by series inductance or shunt capacitance.As it can be seen that synthesize the H in formula (4)a(s) network needs Fig. 2 (a)
In two replacement circuits transmission zero is realized at s=0, five replacement circuits in Fig. 2 (b) realize transmission at s=∞
Zero point.In addition, a zero point on origin must be realized in the port of network.Fig. 3 gives the LC for meeting conditions above
Ladder-type filter structure.
The filter of LC trapezium structure shown in Fig. 3 is only made of inductance and capacitor, and series/parallel is in source resistance (Rs) and load electricity
Hinder (Rl) between, there is lower sensitivity.Assuming that Rs=Rl=1, topological relation according to Fig.3, transmission function can table
It is shown as:
It is realized to be suitable on piece, all inductance in LC network is substituted by gyrator, as shown in figure 4, final
To operation transconductance amplifier shown in Fig. 1-capacitor wavelet filter circuit diagram, operation transconductance amplifier-capacitor small echo filter
The transmission function of wave device may be expressed as:
Contrast (4) and formula (6), can acquire each component parameter relationship:
In order to facilitate circuit design, it is assumed that 6 operation transconductance amplifier gm1~gm6Transconductance value g having the samem, then formula
(7) it is represented by
From the foregoing, it will be observed that as the transconductance value g of given operation transconductance amplifiermWhen, that is, it can determine each capacitance C1~C3、CL1、
CL2.Specific embodiment is given below to be illustrated:
Fig. 5 gives a kind of realization circuit of operation transconductance amplifier, wherein transistor M1And M2For input difference pair, tool
There is identical breadth length ratio, is used to input voltage Vin1And Vin2It is converted into electric current；Transistor M3、M4And transistor M5、M6Constitute two
A current mirroring circuit, and breadth length ratio is identical two-by-two.When all transistors all work in weak inversion regime, it can be achieved that transconductance value is gm
Operation transconductance amplifier, and
Wherein n is subthreshold value slope factor, UTFor thermal voltage, and UT=kT/q.
Design operation transconductance amplifier simultaneously makes its transconductance value meet gm=100ps utilizes method of undetermined coefficients solve system of equation
(7), each component parameter value can be obtained:
C1=54.65pF, C2=40.8pF, C3=193.9pF, CL1=121.3pF, CL2=99.4pF is as shown in fig. 6, be
A kind of operation transconductance amplifier that realizing wavelet transform dimension a=1-capacitor wavelet filter.
By the transconductance value g for adjusting operation transconductance amplifiermIt can change operation transconductance amplifier-capacitor wavelet filter
Centre frequency, realize different scale a wavelet transformation.For example, still making C when keeping each capacitor constant1=54.65pF, C2=
40.8pF C3=193.9pF, CL1=121.3pF, CL2=99.4pF adjusts operation transconductance amplifier and makes gm=200ps, can
To realize the continuous wavelet transform of scale a=2.
The above is only a preferred embodiment of the present invention, the specific embodiment is merely used to help understand the present invention
Core concept.It should be pointed out that for those skilled in the art, without departing from the principle of the present invention,
Can be with several improvements and modifications are made to the present invention, these improvement and modification also belong to the protection model of the claims in the present invention
It encloses.
Claims (3)
1. a kind of operation transconductance amplifier-capacitor wavelet filter, it is characterised in that: operation transconductance amplifier-capacitor small echo filter
The transmission function of wave device is
Wherein, Ha(s) realize that the continuous wavelet transform in scale a=1, morther wavelet are Mexico's hat wavelet.
2. operation transconductance amplifier according to claim 1-capacitor wavelet filter, it is characterised in that: including 6 operations
Trsanscondutance amplifier gm1~gm6With 5 capacitor C1~C3、CL1、CL2。
The operation transconductance amplifier gm1Positive input and operation transconductance amplifier gm2Positive input be connected as fortune
Calculate trsanscondutance amplifier-capacitor wavelet filter input terminal；
The operation transconductance amplifier gm1Reverse input end and gm1Output end, operation transconductance amplifier gm2Output end, fortune
Calculate trsanscondutance amplifier gm3Positive input be connected；
The capacitor C1Both ends respectively with operation transconductance amplifier gm3Positive input with ground be connected, capacitor C2Both ends point
Not with operation transconductance amplifier gm4Output end and operation transconductance amplifier gm3Positive input be connected；
The operation transconductance amplifier gm3Reverse input end be connected to the ground, gm3Output end and operation transconductance amplifier gm2's
Reverse input end is connected；
The capacitor CL2Both ends respectively with gm3Output end with ground be connected；
The operation transconductance amplifier gm4Reverse input end and operation transconductance amplifier gm5Output end, operation transconductance amplifier
gm6Positive input be connected, gm4Positive input with ground be connected, gm6Reverse input end and gm6Output end be connected；
The operation transconductance amplifier gm5Positive input and operation transconductance amplifier gm4Output end be connected, gm5It is reversed
Input terminal and operation transconductance amplifier gm6Output end be connected as the output of operation transconductance amplifier-capacitor wavelet filter
End；
The capacitor CL1Both ends respectively with gm5Output end with ground be connected, capacitor C3Both ends respectively with gm6Output end and ground
It is connected.
3. operation transconductance amplifier according to claim 1-capacitor wavelet filter, it is characterised in that: 6 operations
Trsanscondutance amplifier gm1~gm6With 5 capacitor C1~C3、CL1、CL2Meet following relationship:
As the transconductance value g of operation transconductance amplifierm1~gm6When determining, capacitance C can be calculated1~C3、CL1、CL2。
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| CN201910044960.0A CN109831179A (en) | 2019-01-17 | 2019-01-17 | A kind of operation transconductance amplifier-capacitor wavelet filter |
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| CN201910044960.0A CN109831179A (en) | 2019-01-17 | 2019-01-17 | A kind of operation transconductance amplifier-capacitor wavelet filter |
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Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101217268A (en) * | 2007-12-29 | 2008-07-09 | 湖南大学 | A complex wavelet transformation circuit on number field simulation |
| CN101243972A (en) * | 2008-03-10 | 2008-08-20 | 湖南大学 | Logarithm field simulation wavelet converting circuit for detecting electrocardiosignal QRS wave |
| CN103138713A (en) * | 2011-11-22 | 2013-06-05 | 中国科学院电子学研究所 | Reconfigurable complex filter and implementation method |
| CN105932980A (en) * | 2016-04-18 | 2016-09-07 | 北京交通大学 | Leap-frogging type multi-loop feedback switch current filter |
-
2019
- 2019-01-17 CN CN201910044960.0A patent/CN109831179A/en active Pending
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101217268A (en) * | 2007-12-29 | 2008-07-09 | 湖南大学 | A complex wavelet transformation circuit on number field simulation |
| CN101243972A (en) * | 2008-03-10 | 2008-08-20 | 湖南大学 | Logarithm field simulation wavelet converting circuit for detecting electrocardiosignal QRS wave |
| CN103138713A (en) * | 2011-11-22 | 2013-06-05 | 中国科学院电子学研究所 | Reconfigurable complex filter and implementation method |
| CN105932980A (en) * | 2016-04-18 | 2016-09-07 | 北京交通大学 | Leap-frogging type multi-loop feedback switch current filter |
Non-Patent Citations (2)
| Title |
|---|
| ALEXANDER J. CASSON等: "A 60 pW GmC ContinuousWavelet Transform Circuit for Portable EEG Systems", 《IEEE JOURNAL OF SOLID-STATE CIRCUITS》 * |
| 赵文山等: "一种改进的开关电流滤波器实现小波变换的方法", 《物理学报》 * |
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Application publication date: 20190531 |