CN205986796U - Second order low pass filter circuit based on recall and hinder ware - Google Patents
Second order low pass filter circuit based on recall and hinder ware Download PDFInfo
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- CN205986796U CN205986796U CN201620510937.8U CN201620510937U CN205986796U CN 205986796 U CN205986796 U CN 205986796U CN 201620510937 U CN201620510937 U CN 201620510937U CN 205986796 U CN205986796 U CN 205986796U
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Abstract
Second order low pass filter circuit based on recall and hinder ware, by diode 1N4148, electric capacity and resistors, diode 1N4148 realizes wien bridge function, electric capacity and resistors RC oscillation circuit. This is novel to have proposed to recall based on the diode wen bridge circuit who hinders the ware with first -order broad sense, realizes the second order low pass filter circuit among the analog circuit, and the first -order broad sense compriseed the diode wien bridge for research is recalled and is hindered the ware and provide a simple and convenient method and circuits.
Description
Technical field
This new basic circuit being related in analog circuit, is based particularly on the second order tow pass analog filtered electrical of memristor
Road.
Background technology
Memristor is a kind of nonlinear circuit element, since the physical realizability of FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor is reported, base
In the various application circuits changing memristor, particularly memristor chaos circuit has obtained relatively broad research, using simple base
This component carry out organic linking it is easy to construct various based on memristor, memristor has been used for the research of Chaos
Compare far-reaching influence through creating, but memristor is individually applied in analog circuit, realize the filter in signal processing
Wave energy is also fewer at home and abroad, for this reason, this new diode Wien Bridge Circuit proposing with FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor
Based on, realize the filter circuit in analog circuit, such as low-pass first order filter, second-order low-pass filter, high pass filter,
Band filter and all-pass filter, provide a kind of letter for studying the FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor being made up of diode Wien bridge circuit
Just Method and circuits.
Content of the invention
1. the second-order low-pass filter circuit based on memristor it is characterised in that:The described step low-pass filter based on memristor
By resistance, electric capacity, memristor and operational amplifier LF347BN (U2) composition, described memristor is FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor to wave circuit
Device, is made up of diode Wien Bridge Circuit and electric capacity and resistance, and electric capacity and resistance form RC oscillating circuit;Diode D1 is just
Pole connects the positive pole of diode D4, connects the input of memristor, and the negative pole of described diode D1 connects one end of electric capacity C0, connects diode
The negative pole of D2, the positive pole of described diode D2 connects the negative pole of diode D3, connects the outfan of memristor, and described diode D2's is negative
Pole connects one end of electric capacity, and the negative pole of described diode D3 connects the positive pole of diode D2, connects the outfan of memristor, described diode
The positive pole of D3 connects the positive pole of diode D4, connects the other end of electric capacity C0, ground connection, and the positive pole of described diode D4 connects diode D3's
Positive pole, connects the other end of electric capacity C0, ground connection, and the negative pole of described diode D4 connects the positive pole of diode D1, connects the input of memristor
End, one end of a terminating resistor R0 of described electric capacity C0, the other end of another terminating resistor R0 of described electric capacity C0, ground connection;Root
Circuit according to diode Wien bridge circuit draws relationship below:
Set broad sense memristor two ends input voltage and electric current is respectively Vm and Im, electric capacity C0Both end voltage is V0, its mathematics
Model is:
Wherein, ρ=1/ (2nVT);Is, n and VTRepresent diode reverse saturation current, emission ratio and thermal voltage respectively,
Thus, it is possible to derive that recalling of broad sense memristor is led expression formula and be
The negative input end of described operational amplifier LF347BN (U2) is grounded by resistance Ri2, connects fortune by memristor Rm2
Calculate the outfan of amplifier LF347BN (U2), the positive input terminal of operational amplifier LF347BN (U2) passes through resistance R2 and resistance R3
Connect the input of second-order low-pass filter, be grounded by electric capacity C2, by resistance R2 and electric capacity C3 ground connection, operational amplifier
The positive supply termination VCC of LF347BN (U2), negative supply terminates VEE;Drawn according to second-order low-pass filter circuit structure with ShiShimonoseki
It is formula:
If the transmission function of second-order low-pass filter is AuS (), the input voltage of second-order low-pass filter is Ui2, output electricity
Press as Uo2, the positive input terminal voltage of operational amplifier U2 is Up, the voltage on electric capacity C3 is UM,
According to computing circuit " empty short ", " empty disconnected " and Laplace transform principle draw:
Work as C2=C3=C, R2=R3During=R
Make s=j ω,
Beneficial effect:The present invention proposes based on the diode Wien Bridge Circuit of FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor, realizes
Filter circuit in analog circuit, such as low-pass first order filter, second-order low-pass filter, high pass filter, band filter
And all-pass filter, for study the FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor that be made up of diode Wien bridge circuit provide a kind of method of simplicity with
Circuit.
Brief description
Fig. 1 is the second-order low-pass filter circuit realized based on memristor.
Fig. 2 is the diode Wien Bridge Circuit realizing FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor.
Specific embodiment
With preferred embodiment, the present invention is further described in detail below in conjunction with the accompanying drawings, referring to Fig. 1-Fig. 2.
Second-order low-pass filter circuit based on memristor it is characterised in that:The described second-order low-pass filter based on memristor
Electric routing resistance, electric capacity, memristor and operational amplifier LF347BN (U2) composition, described memristor is FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor,
It is made up of diode Wien Bridge Circuit and electric capacity and resistance, electric capacity and resistance form RC oscillating circuit;The positive pole of diode D1
Connect the positive pole of diode D4, connect the input of memristor, the negative pole of described diode D1 connects one end of electric capacity C0, meets diode D2
Negative pole, the positive pole of described diode D2 connects the negative pole of diode D3, connects the outfan of memristor, the negative pole of described diode D2
Connect one end of electric capacity, the negative pole of described diode D3 connects the positive pole of diode D2, meets the outfan of memristor, described diode D3
Positive pole connect the positive pole of diode D4, connect the other end of electric capacity C0, ground connection, the positive pole of described diode D4 is just meeting diode D3
Pole, connects the other end of electric capacity C0, ground connection, and the negative pole of described diode D4 connects the positive pole of diode D1, connects the input of memristor,
One end of the one terminating resistor R0 of described electric capacity C0, the other end of another terminating resistor R0 of described electric capacity C0, ground connection;According to two
The circuit of pole pipe Wien bridge circuit draws relationship below:
Set broad sense memristor two ends input voltage and electric current is respectively Vm and Im, electric capacity C0Both end voltage is V0, its mathematics
Model is:
Wherein, ρ=1/ (2nVT);Is, n and VTRepresent diode reverse saturation current, emission ratio and thermal voltage respectively,
Thus, it is possible to derive that recalling of broad sense memristor is led expression formula and be
The negative input end of described operational amplifier LF347BN (U2) is grounded by resistance Ri2, connects fortune by memristor Rm2
Calculate the outfan of amplifier LF347BN (U2), the positive input terminal of operational amplifier LF347BN (U2) passes through resistance R2 and resistance R3
Connect the input of second-order low-pass filter, be grounded by electric capacity C2, by resistance R2 and electric capacity C3 ground connection, operational amplifier
The positive supply termination VCC of LF347BN (U2), negative supply terminates VEE;Drawn according to second-order low-pass filter circuit structure with ShiShimonoseki
It is formula:
If the transmission function of second-order low-pass filter is AuS (), the input voltage of second-order low-pass filter is Ui2, output electricity
Press as Uo2, the positive input terminal voltage of operational amplifier U2 is Up, the voltage on electric capacity C3 is UM,
According to computing circuit " empty short ", " empty disconnected " and Laplace transform principle draw:
Work as C2=C3=C, R2=R3During=R
Make s=j ω,
Certainly, the described above not restriction to invention, the present invention is also not limited to the example above, the art general
Change, remodeling, interpolation or replacement that logical technical staff is made in the essential scope of the present invention, fall within the protection of the present invention
Scope.
Claims (1)
1. the second-order low-pass filter circuit based on memristor it is characterised in that:The described second-order low-pass filter electricity based on memristor
Routing resistance, electric capacity, memristor and operational amplifier LF347BN (U2) composition, described memristor is FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor, by
Diode Wien Bridge Circuit and electric capacity and resistance composition, electric capacity and resistance composition RC oscillating circuit;The positive pole of diode D1 connects
The positive pole of diode D4, connects the input of memristor, and the negative pole of described diode D1 connects one end of electric capacity C0, connects diode D2's
Negative pole, the positive pole of described diode D2 connects the negative pole of diode D3, connects the outfan of memristor, and the negative pole of described diode D2 connects
One end of electric capacity, the negative pole of described diode D3 connects the positive pole of diode D2, connects the outfan of memristor, described diode D3's
Positive pole connects the positive pole of diode D4, connects the other end of electric capacity C0, ground connection, and the positive pole of described diode D4 is just meeting diode D3
Pole, connects the other end of electric capacity C0, ground connection, and the negative pole of described diode D4 connects the positive pole of diode D1, connects the input of memristor,
One end of the one terminating resistor R0 of described electric capacity C0, the other end of another terminating resistor R0 of described electric capacity C0, ground connection;According to two
The circuit of pole pipe Wien bridge circuit draws relationship below:
Set broad sense memristor two ends input voltage and electric current is respectively Vm and Im, electric capacity C0Both end voltage is V0, its mathematical model
For:
Wherein, ρ=1/ (2nVT);Is, n and VTRepresent diode reverse saturation current, emission ratio and thermal voltage respectively, thus,
Can derive that recalling of broad sense memristor is led expression formula and be
The negative input end of described operational amplifier LF347BN (U2) is grounded by resistance Ri2, connects computing by memristor Rm2 and puts
The outfan of big device LF347BN (U2), the positive input terminal of operational amplifier LF347BN (U2) connects two by resistance R2 and resistance R3
The input of rank low pass filter, is grounded by electric capacity C2, by resistance R2 and electric capacity C3 ground connection, operational amplifier LF347BN
(U2) positive supply termination VCC, negative supply terminates VEE;Relationship below is drawn according to second-order low-pass filter circuit structure:
If the transmission function of second-order low-pass filter is AuS (), the input voltage of second-order low-pass filter is Ui2, output voltage is
Uo2, the positive input terminal voltage of operational amplifier U2 is Up, the voltage on electric capacity C3 is UM,
According to computing circuit " empty short ", " empty disconnected " and Laplace transform principle draw:
Work as C2=C3=C, R2=R3During=R
Make s=j ω,
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CN201620510937.8U CN205986796U (en) | 2016-05-30 | 2016-05-30 | Second order low pass filter circuit based on recall and hinder ware |
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CN201620510937.8U CN205986796U (en) | 2016-05-30 | 2016-05-30 | Second order low pass filter circuit based on recall and hinder ware |
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Cited By (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN106026969A (en) * | 2016-05-30 | 2016-10-12 | 王顺亭 | Filter circuit based on memristor |
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2016
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Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN106026969A (en) * | 2016-05-30 | 2016-10-12 | 王顺亭 | Filter circuit based on memristor |
CN106026969B (en) * | 2016-05-30 | 2017-12-22 | 盐城东方汽车广场投资发展有限公司 | First-order low-pass wave circuit based on memristor |
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CF01 | Termination of patent right due to non-payment of annual fee | ||
CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20170222 Termination date: 20170530 |