CN107623506A - All-pass wave filtering circuit based on memristor - Google Patents
All-pass wave filtering circuit based on memristor Download PDFInfo
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- CN107623506A CN107623506A CN201710959497.3A CN201710959497A CN107623506A CN 107623506 A CN107623506 A CN 107623506A CN 201710959497 A CN201710959497 A CN 201710959497A CN 107623506 A CN107623506 A CN 107623506A
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- H—ELECTRICITY
- H03—ELECTRONIC CIRCUITRY
- H03H—IMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
- H03H11/00—Networks using active elements
- H03H11/02—Multiple-port networks
- H03H11/04—Frequency selective two-port networks
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Abstract
All-pass wave filtering circuit based on memristor, the diode Wien Bridge Circuit of the FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor is characterized in that：The circuit is made up of diode 1N4148, electric capacity and resistance, and diode 1N4148 realizes Wien bridge circuit function, electric capacity and resistance composition RC oscillating circuits.Originally it is new to propose based on the diode Wien Bridge Circuit of FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor, realize the filter circuit in analog circuit, such as low-pass first order filter, second-order low-pass filter, high-pass filter, bandpass filter and all-pass filter, provide a kind of easy method and circuit to study the FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor being made up of diode Wien bridge circuit.
Description
Technical field
The present invention relates to the basic circuit in analog circuit, the all-pass wave filtering circuit of memristor is based particularly on.
Background technology
Memristor is a kind of nonlinear circuit element, since the physical realizability report of FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor, base
Relatively broad research has been obtained in the various application circuits for changing memristor, particularly memristor chaos circuit, has utilized simple base
This circuit element carry out organic linking, it is easy to construct it is various be based on memristor, memristor has been used for the research of Chaos
Compare far-reaching influence through generating, but memristor is individually applied in analog circuit, realize the filter in signal transacting
Wave energy is also fewer at home and abroad, therefore, the present invention proposes the diode Wien Bridge Circuit 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,
Bandpass filter and all-pass filter, a kind of letter is provided to study the FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor being made up of diode Wien bridge circuit
Just method and circuit.
The content of the invention
1. the all-pass wave filtering circuit based on memristor, it is characterised in that：The memristor is by diode 1N4148 Wens electricity
Bridge circuit and electric capacity and resistance composition, diode 1N4148 realize Wien bridge circuit function, electric capacity and resistance composition RC oscillating circuits；
Diode D1 positive pole connects diode D4 positive pole, connects the input of memristor, and the negative pole of the diode D1 connects electric capacity C0's
One end, connects diode D2 negative pole, and the positive pole of the diode D2 connects diode D3 negative pole, meets the output end of memristor, institute
The negative pole for stating diode D2 connects one end of electric capacity, and the negative pole of the diode D3 connects diode D2 positive pole, connects the defeated of memristor
Go out end, the positive pole of the diode D3 connects diode D4 positive pole, connects the electric capacity C0 other end, is grounded, the diode D4's
Positive pole connects diode D3 positive pole, connects the electric capacity C0 other end, and ground connection, the negative pole of the diode D4 is meeting diode D1 just
Pole, meet the input of memristor, a terminating resistor R0 of electric capacity C0 one end, another terminating resistor R0 of the electric capacity C0
The other end, ground connection；Relationship below is drawn according to the circuit of diode Wien bridge circuit：
If memristor both ends input voltage and electric current are respectively Vm and Im, electric capacity C0Both end voltage is V0, its mathematical modeling
For：
Wherein, ρ=1/ (2nVT)；Is, n and VTDiode reverse saturation current, emission ratio and thermal voltage are represented respectively,
Thus, it is possible to derive that recalling for memristor leads expression formula and be
The all-pass wave filtering circuit based on memristor is by resistance, electric capacity, memristor, three poles and operational amplifier
LF347BN (U5) is formed；The negative input end of the operational amplifier LF347BN (U5) connects all-pass filter by resistance Ri5
Input, operational amplifier LF347BN (U5) output end is connect by memristor Rm5, operational amplifier LF347BN (U5) is just
Input is grounded by resistance R9, the input of all-pass filter is connect by electric capacity C7, operational amplifier LF347BN (U5) is just
Power supply terminates VCC, negative supply termination VEE；Relationship below can be drawn according to the structure of all-pass filter：
If the transmission function of all-pass filter is Au(s), the input voltage of all-pass filter is Ui5, output voltage Uo5,
Operational amplifier U5 positive input terminal voltage is Up
Drawn according to computing circuit " empty short ", " void is disconnected " and Laplace transform principle：
Work as C7=C, Ri5=R9=R, GmDuring=R
Beneficial effect：The present invention is proposed based on the diode Wien Bridge Circuit of FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor, is realized
Filter circuit in analog circuit, such as low-pass first order filter, second-order low-pass filter, high-pass filter, bandpass 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 easy method with
Circuit.
Brief description of the drawings
Fig. 1 is all-pass wave filtering circuit of the realization based on memristor.
Fig. 2 is the diode Wien Bridge Circuit for realizing FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor.
Embodiment
The present invention is further described in detail with preferred embodiment below in conjunction with the accompanying drawings, referring to Fig. 1-Fig. 2.
1. the all-pass wave filtering circuit based on memristor, it is characterised in that：The memristor is by diode 1N4148 Wens electricity
Bridge circuit and electric capacity and resistance composition, diode 1N4148 realize Wien bridge circuit function, electric capacity and resistance composition RC oscillating circuits；
Diode D1 positive pole connects diode D4 positive pole, connects the input of memristor, and the negative pole of the diode D1 connects electric capacity C0's
One end, connects diode D2 negative pole, and the positive pole of the diode D2 connects diode D3 negative pole, meets the output end of memristor, institute
The negative pole for stating diode D2 connects one end of electric capacity, and the negative pole of the diode D3 connects diode D2 positive pole, connects the defeated of memristor
Go out end, the positive pole of the diode D3 connects diode D4 positive pole, connects the electric capacity C0 other end, is grounded, the diode D4's
Positive pole connects diode D3 positive pole, connects the electric capacity C0 other end, and ground connection, the negative pole of the diode D4 is meeting diode D1 just
Pole, meet the input of memristor, a terminating resistor R0 of electric capacity C0 one end, another terminating resistor R0 of the electric capacity C0
The other end, ground connection；Relationship below is drawn according to the circuit of diode Wien bridge circuit：
If memristor both ends input voltage and electric current are respectively Vm and Im, electric capacity C0Both end voltage is V0, its mathematical modeling
For：
Wherein, ρ=1/ (2nVT)；Is, n and VTDiode reverse saturation current, emission ratio and thermal voltage are represented respectively,
Thus, it is possible to derive that recalling for memristor leads expression formula and be
The all-pass wave filtering circuit based on memristor is by resistance, electric capacity, memristor, three poles and operational amplifier
LF347BN (U5) is formed；The negative input end of the operational amplifier LF347BN (U5) connects all-pass filter by resistance Ri5
Input, operational amplifier LF347BN (U5) output end is connect by memristor Rm5, operational amplifier LF347BN (U5) is just
Input is grounded by resistance R9, and the input of all-pass filter, operational amplifier LF347BN (U5) positive electricity are connect by electric capacity C7
Source meets VCC, negative supply termination VEE；Relationship below can be drawn according to the structure of all-pass filter：
If the transmission function of all-pass filter is Au(s), the input voltage of all-pass filter is Ui5, output voltage Uo5,
Operational amplifier U5 positive input terminal voltage is Up
Drawn according to computing circuit " empty short ", " void is disconnected " and Laplace transform principle：
Work as C7=C, Ri5=R9=R, GmDuring=R
Certainly, described above is not limitation to invention, and the present invention is also not limited to the example above, the art it is general
The variations, modifications, additions or substitutions 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 all-pass wave filtering circuit based on memristor, it is characterised in that：The memristor is by diode 1N4148 Wien bridge circuits electricity
Road and electric capacity and resistance composition, diode 1N4148 realize Wien bridge circuit function, electric capacity and resistance composition RC oscillating circuits；Two poles
Pipe D1 positive pole connects diode D4 positive pole, connects the input of memristor, and the negative pole of the diode D1 connects electric capacity C0 one end,
Diode D2 negative pole is connect, the positive pole of the diode D2 connects diode D3 negative pole, connects the output end of memristor, two pole
Pipe D2 negative pole connects one end of electric capacity, and the negative pole of the diode D3 connects diode D2 positive pole, meets the output end of memristor, institute
The positive pole for stating diode D3 connects diode D4 positive pole, connects the electric capacity C0 other end, and ground connection, the positive pole of the diode D4 connects two
Pole pipe D3 positive pole, the electric capacity C0 other end is connect, be grounded, the negative pole of the diode D4 connects diode D1 positive pole, connects memristor
The input of device, a terminating resistor R0 of electric capacity C0 one end, another terminating resistor R0 of the electric capacity C0 other end,
Ground connection；Relationship below is drawn according to the circuit of diode Wien bridge circuit：
If memristor both ends input voltage and electric current are respectively Vm and Im, electric capacity C0Both end voltage is V0, its mathematical modeling is：
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Wherein, ρ=1/ (2nVT)；Is, n and VTDiode reverse saturation current, emission ratio and thermal voltage are represented respectively, thus,
It can derive that recalling for memristor leads expression formula and be
The all-pass wave filtering circuit based on memristor is by resistance, electric capacity, memristor, three poles and operational amplifier LF347BN
(U5) form；The negative input end of the operational amplifier LF347BN (U5) connects the input of all-pass filter by resistance Ri5, leads to
The output end that memristor Rm5 meets operational amplifier LF347BN (U5) is crossed, operational amplifier LF347BN (U5) positive input terminal leads to
Resistance R9 ground connection is crossed, the input of all-pass filter, operational amplifier LF347BN (U5) positive supply termination are connect by electric capacity C7
VCC, negative supply termination VEE；Relationship below can be drawn according to the structure of all-pass filter：
If the transmission function of all-pass filter is Au(s), the input voltage of all-pass filter is Ui5, output voltage Uo5, computing
Amplifier U5 positive input terminal voltage is Up
Drawn according to computing circuit " empty short ", " void is disconnected " and Laplace transform principle：
Work as C7=C, Ri5=R9=R, GmDuring=R
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710959497.3A CN107623506A (en) | 2016-05-30 | 2016-05-30 | All-pass wave filtering circuit based on memristor |
Applications Claiming Priority (2)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610374235.6A CN106026969B (en) | 2016-05-30 | 2016-05-30 | First-order low-pass wave circuit based on memristor |
| CN201710959497.3A CN107623506A (en) | 2016-05-30 | 2016-05-30 | All-pass wave filtering circuit based on memristor |
Related Parent Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201610374235.6A Division CN106026969B (en) | 2016-05-30 | 2016-05-30 | First-order low-pass wave circuit based on memristor |
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| CN107623506A true CN107623506A (en) | 2018-01-23 |
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201710959497.3A Withdrawn CN107623506A (en) | 2016-05-30 | 2016-05-30 | All-pass wave filtering circuit based on memristor |
| CN201710959716.8A Withdrawn CN107623505A (en) | 2016-05-30 | 2016-05-30 | Bandwidth-limited circuit based on memristor |
| CN201610374235.6A Active CN106026969B (en) | 2016-05-30 | 2016-05-30 | First-order low-pass wave circuit based on memristor |
| CN201710959491.6A Withdrawn CN107612521A (en) | 2016-05-30 | 2016-05-30 | Single order high-pass filtering circuit based on memristor |
| CN201710962386.8A Withdrawn CN107743024A (en) | 2016-05-30 | 2016-05-30 | Second-order low-pass filter circuit based on memristor |
Family Applications After (4)
| Application Number | Title | Priority Date | Filing Date |
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| CN201710959716.8A Withdrawn CN107623505A (en) | 2016-05-30 | 2016-05-30 | Bandwidth-limited circuit based on memristor |
| CN201610374235.6A Active CN106026969B (en) | 2016-05-30 | 2016-05-30 | First-order low-pass wave circuit based on memristor |
| CN201710959491.6A Withdrawn CN107612521A (en) | 2016-05-30 | 2016-05-30 | Single order high-pass filtering circuit based on memristor |
| CN201710962386.8A Withdrawn CN107743024A (en) | 2016-05-30 | 2016-05-30 | Second-order low-pass filter circuit based on memristor |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN106788329A (en) * | 2017-01-07 | 2017-05-31 | 滨州学院 | All-pass wave filtering circuit based on memristor |
| CN106712741A (en) * | 2017-01-07 | 2017-05-24 | 滨州学院 | Band-pass filter circuit based on memristor |
| CN107241080A (en) * | 2017-05-15 | 2017-10-10 | 东南大学 | A kind of programmable iir filter analog hardware implementation method based on memristor |
| US11631808B2 (en) | 2020-12-07 | 2023-04-18 | Rockwell Collins, Inc. | System and device including memristor material |
| US11462267B2 (en) | 2020-12-07 | 2022-10-04 | Rockwell Collins, Inc. | System and device including memristor material |
| US11456418B2 (en) | 2020-09-10 | 2022-09-27 | Rockwell Collins, Inc. | System and device including memristor materials in parallel |
| US11469373B2 (en) | 2020-09-10 | 2022-10-11 | Rockwell Collins, Inc. | System and device including memristor material |
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| CN103731128A (en) * | 2013-12-23 | 2014-04-16 | 常州大学 | Memory resistance simulator with first-order diode bridge circuit |
| CN104022864A (en) * | 2014-06-04 | 2014-09-03 | 常州大学 | Memristor chaotic signal generator implemented based on diode bridge |
| CN104320098A (en) * | 2014-09-05 | 2015-01-28 | 常州大学 | A simple chua's chaotic circuit achieved by bridging generalized memristor |
| CN104410485A (en) * | 2014-11-13 | 2015-03-11 | 常州大学 | A wien-brigde chaotic oscillator based on a firs-order generalized memory resistor |
| CN104486064A (en) * | 2015-01-08 | 2015-04-01 | 常州大学 | Memory resistance chaotic signal producing circuit with self-excitation attractor and hidden attractor |
| CN104796248B (en) * | 2015-03-18 | 2018-01-12 | 常州大学 | A kind of memristor chaotic signal generating device of MCLC types |
| CN205986796U (en) * | 2016-05-30 | 2017-02-22 | 国网青海省电力公司海北供电公司 | Second order low pass filter circuit based on recall and hinder ware |
-
2016
- 2016-05-30 CN CN201710959497.3A patent/CN107623506A/en not_active Withdrawn
- 2016-05-30 CN CN201710959716.8A patent/CN107623505A/en not_active Withdrawn
- 2016-05-30 CN CN201610374235.6A patent/CN106026969B/en active Active
- 2016-05-30 CN CN201710959491.6A patent/CN107612521A/en not_active Withdrawn
- 2016-05-30 CN CN201710962386.8A patent/CN107743024A/en not_active Withdrawn
Also Published As
| Publication number | Publication date |
|---|---|
| CN107743024A (en) | 2018-02-27 |
| CN107623505A (en) | 2018-01-23 |
| CN106026969B (en) | 2017-12-22 |
| CN107612521A (en) | 2018-01-19 |
| CN106026969A (en) | 2016-10-12 |
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Application publication date: 20180123 |