CN108399062A - Differentiator computing circuit based on memristor - Google Patents
Differentiator computing circuit based on memristor Download PDFInfo
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- CN108399062A CN108399062A CN201810173836.XA CN201810173836A CN108399062A CN 108399062 A CN108399062 A CN 108399062A CN 201810173836 A CN201810173836 A CN 201810173836A CN 108399062 A CN108399062 A CN 108399062A
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
- H04L9/001—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols using chaotic signals
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
- G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
- G06F7/50—Adding; Subtracting
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/60—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers
- G06F7/64—Digital differential analysers, i.e. computing devices for differentiation, integration or solving differential or integral equations, using pulses representing increments; Other incremental computing devices for solving difference equations
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
- G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
- G06F7/544—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices for evaluating functions by calculation
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
- G06F7/38—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
- G06F7/48—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices
- G06F7/544—Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation using non-contact-making devices, e.g. tube, solid state device; using unspecified devices for evaluating functions by calculation
- G06F7/556—Logarithmic or exponential functions
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- Theoretical Computer Science (AREA)
- Computational Mathematics (AREA)
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- Mathematical Optimization (AREA)
- General Engineering & Computer Science (AREA)
- Computing Systems (AREA)
- Mathematical Physics (AREA)
- Computer Security & Cryptography (AREA)
- Computer Networks & Wireless Communication (AREA)
- Signal Processing (AREA)
- Inductance-Capacitance Distribution Constants And Capacitance-Resistance Oscillators (AREA)
- Oscillators With Electromechanical Resonators (AREA)
- Amplifiers (AREA)
Abstract
The invention discloses a kind of differentiator computing circuit based on memristor, the circuit are made of diode 1N4148, capacitance and resistance, and diode 1N4148 realizes that Wien bridge circuit function, capacitance and resistance form RC oscillating circuits.It proposes based on the diode Wien Bridge Circuit of FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor, realize reverse phase, addition, integral, differential, index and the logarithm operation in analog circuit, for the sine wave RC oscillating circuits for being widely used general, have many advantages, such as that the wien-bridge oscillator that oscillation is relatively stablized, waveform is good, frequency of oscillation can be continuously adjusted easily in a wider scope provides a kind of platform.
Description
Technical field
The present invention relates to a kind of computing circuits, more particularly to a kind of to be based on memristor differentiator computing circuit.
Background technology
Since the physical realizability of nanoscale memristor report, in the various application circuits based on memristor, memristor
Chaos circuit has obtained relatively broad research, and has a large amount of achievement to report that memristor is a kind of nonlinear circuit element, with
Other three kinds of basic circuit elements carry out organic linkings, it is easy to construct it is various be based on memristor, memristor is used for chaos
Research, which has produced, compares far-reaching influence, but memristor is individually applied in analog circuit, realizes mathematics
In basic operation it is also fewer at home and abroad, for this purpose, the present invention proposes the diode Wen electricity with FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor
Based on bridge circuit, reverse phase, addition, integral, differential, index and the logarithm operation in analog circuit are realized, to be widely used
There is general sine wave RC oscillating circuits oscillation relatively to stablize, waveform is good, frequency of oscillation can easily connect in a wider scope
The wien-bridge oscillator of continuous the advantages that adjusting provides a kind of platform.
Invention content
The purpose of the present invention is to provide a kind of differentiator computing circuit based on memristor, to solve above-mentioned background technology
The problem of middle proposition.
To achieve the above object, the present invention provides the following technical solutions：One kind being based on memristor differentiator computing circuit, institute
It states memristor to be made of diode (1N4148), capacitance and resistance, diode 1N4148 realizes Wien bridge circuit function, capacitance and electricity
Resistance composition RC oscillating circuits；The anode of the diode D1 connects the anode of diode D4, connects the input terminal of memristor, two pole
The cathode of pipe D1 connects one end of capacitance C0, connects the cathode of diode D2, and the anode of the diode D2 connects the cathode of diode D3,
The output end of memristor is connect, the cathode of the diode D2 connects one end of capacitance, and the cathode of the diode D3 meets diode D2
Anode, connect the output end of memristor, the anode of the diode D3 connects the anode of diode D4, connects the other end of capacitance C0,
Ground connection, the anode of the diode D4 connect the anode of diode D3, connect the other end of capacitance C0, are grounded, the diode D4's
Cathode connects the anode of diode D1, connects the input terminal of memristor, one end of a terminating resistor R0 of the capacitance C0, the capacitance
The other end of another terminating resistor R0 of C0, ground connection；Following relationship is obtained according to the circuit of diode Wien bridge circuit：
It is respectively Vm and Im, capacitance C to set memristor both ends input voltage and electric current0Both end voltage is V0, mathematical model
For：
Wherein, ρ=1/ (2nVT)；Is, n and VTDiode reverse saturation current, emission ratio and thermal voltage are indicated respectively,
Thus, it is possible to derive that recalling for memristor leads expression formula and be
Differentiator computing circuit based on memristor is made of capacitance, memristor and operational amplifier LF347BN (U4)；Institute
The negative input end for stating operational amplifier LF347BN (U4) connects the input of differentiator by capacitance C2, and operation is connect by memristor Rm4
The output end of amplifier LF347BN (U4), the positive input terminal ground connection of operational amplifier LF347BN (U4), operational amplifier
The positive supply of LF347BN (U4) terminates VCC, and negative supply terminates VEE, following relationship is obtained according to the circuit structure of differentiator：
If the input voltage of differentiator is Ui6, the electric current on capacitance C2 is Ic2, the voltage on memristor is VRm4, electric current is
IRm4, the output voltage of differentiator is Uo4, obtained according to computing circuit " empty short " and " void is disconnected " principle：
Advantageous effect：The present invention proposes based on the diode Wien Bridge Circuit of FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor, realizes
Reverse phase, addition, integral, differential, index in analog circuit and logarithm operation, for the sine wave RC oscillation electricity for being widely used general
Road has many advantages, such as the Wen that oscillation is relatively stablized, waveform is good, frequency of oscillation can be continuously adjusted easily in a wider scope
Bridge oscillator provides a kind of platform.
Description of the drawings
Fig. 1 is the differentiator computing circuit for realizing memristor.
Fig. 2 is to realize the diode Wien Bridge Circuit based on memristor.
Specific implementation mode
Following will be combined with the drawings in the embodiments of the present invention 1-2, technical solution in the embodiment of the present invention carry out it is clear,
It is fully described by, a kind of differentiator computing circuit based on memristor, the memristor is by diode (1N4148), capacitance and electricity
Resistance composition, diode 1N4148 realize that Wien bridge circuit function, capacitance and resistance form RC oscillating circuits；The diode D1 is just
Pole connects the anode of diode D4, connects the input terminal of memristor, and the cathode of the diode D1 connects one end of capacitance C0, connects diode
The anode of the cathode of D2, the diode D2 connects the cathode of diode D3, connects the output end of memristor, and the diode D2's is negative
Pole connects one end of capacitance, and the cathode of the diode D3 connects the anode of diode D2, connects the output end of memristor, the diode
The anode of D3 connects the anode of diode D4, connects the other end of capacitance C0, and ground connection, the anode of the diode D4 connects diode D3's
Anode connects the other end of capacitance C0, and ground connection, the cathode of the diode D4 connects the anode of diode D1, connects the input of memristor
End, one end of a terminating resistor R0 of the capacitance C0, the other end of another terminating resistor R0 of the capacitance C0, ground connection；Root
Following relationship is obtained according to the circuit of diode Wien bridge circuit：
It is respectively Vm and Im, capacitance C to set memristor both ends input voltage and electric current0Both end voltage is V0, mathematical model
For：
Wherein, ρ=1/ (2nVT)；Is, n and VTDiode reverse saturation current, emission ratio and thermal voltage are indicated respectively,
Thus, it is possible to derive that recalling for memristor leads expression formula and be
Differentiator computing circuit based on memristor is made of capacitance, memristor and operational amplifier LF347BN (U4)；Institute
The negative input end for stating operational amplifier LF347BN (U4) connects the input of differentiator by capacitance C2, and fortune is connect by memristor Rm4
Calculate the output end of amplifier LF347BN (U4), the positive input terminal ground connection of operational amplifier LF347BN (U4), operational amplifier
The positive supply of LF347BN (U4) terminates VCC, and negative supply terminates VEE, following relationship is obtained according to the circuit structure of differentiator：
If the input voltage of differentiator is Ui6, the electric current on capacitance C2 is Ic2, the voltage on memristor is VRm4, electric current is
IRm4, the output voltage of differentiator is Uo4, obtained according to computing circuit " empty short " and " void is disconnected " principle：
It is obvious to a person skilled in the art that invention is not limited to the details of the above exemplary embodiments, Er Qie
In the case of without departing substantially from spirit or essential attributes of the invention, the present invention can be realized in other specific forms.Therefore, no matter
From the point of view of which point, the present embodiments are to be considered as illustrative and not restrictive, and the scope of the present invention is by appended power
Profit requires rather than above description limits, it is intended that all by what is fallen within the meaning and scope of the equivalent requirements of the claims
Variation is included within the present invention.Any reference signs in the claims should not be construed as limiting the involved claims.
Claims (1)
1. the differentiator computing circuit based on memristor, it is characterised in that：The memristor by diode (1N4148), capacitance and
Resistance forms, and diode 1N4148 realizes that Wien bridge circuit function, capacitance and resistance form RC oscillating circuits；The diode D1's
Anode connects the anode of diode D4, connects the input terminal of memristor, and the cathode of the diode D1 connects one end of capacitance C0, connects two poles
The anode of the cathode of pipe D2, the diode D2 connects the cathode of diode D3, connects the output end of memristor, the diode D2's
Cathode connects one end of capacitance, and the cathode of the diode D3 connects the anode of diode D2, connects the output end of memristor, two pole
The anode of pipe D3 connects the anode of diode D4, connects the other end of capacitance C0, and ground connection, the anode of the diode D4 meets diode D3
Anode, connect the other end of capacitance C0, be grounded, the cathode of the diode D4 connects the anode of diode D1, connect the defeated of memristor
Enter end, one end of a terminating resistor R0 of the capacitance C0, the other end of another terminating resistor R0 of the capacitance C0, ground connection；
Following relationship is obtained according to the circuit of diode Wien bridge circuit：
It is respectively Vm and Im, capacitance C to set memristor both ends input voltage and electric current0Both end voltage is V0, mathematical model is：
Wherein, ρ=1/ (2nVT)；Is, n and VTDiode reverse saturation current, emission ratio and thermal voltage are indicated respectively, as a result,
It can derive that recalling for memristor leads expression formula and be
Differentiator computing circuit based on memristor is made of capacitance, memristor and operational amplifier LF347BN (U4)；The fortune
The negative input end for calculating amplifier LF347BN (U4) connects the input of differentiator by capacitance C2, and operation amplifier is connect by memristor Rm4
The output end of device LF347BN (U4), the positive input terminal ground connection of operational amplifier LF347BN (U4), operational amplifier LF347BN
(U4) positive supply terminates VCC, and negative supply terminates VEE, following relationship is obtained according to the circuit structure of differentiator：
If the input voltage of differentiator is Ui6, the electric current on capacitance C2 is Ic2, the voltage on memristor is VRm4, electric current IRm4,
The output voltage of differentiator is Uo4, obtained according to computing circuit " empty short " and " void is disconnected " principle：
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201810173836.XA CN108399062A (en) | 2016-05-24 | 2016-05-24 | Differentiator computing circuit based on memristor |
Applications Claiming Priority (2)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201610348685.8A CN106020767B (en) | 2016-05-24 | 2016-05-24 | Adder computing circuit based on FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor |
| CN201810173836.XA CN108399062A (en) | 2016-05-24 | 2016-05-24 | Differentiator computing circuit based on memristor |
Related Parent Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201610348685.8A Division CN106020767B (en) | 2016-05-24 | 2016-05-24 | Adder computing circuit based on FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor |
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| Publication Number | Publication Date |
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| CN108399062A true CN108399062A (en) | 2018-08-14 |
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201810173836.XA Withdrawn CN108399062A (en) | 2016-05-24 | 2016-05-24 | Differentiator computing circuit based on memristor |
| CN201810173408.7A Pending CN108306725A (en) | 2016-05-24 | 2016-05-24 | FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor negative circuit based on Wien bridge circuit |
| CN201810173840.6A Pending CN108279862A (en) | 2016-05-24 | 2016-05-24 | Index device computing circuit based on memristor |
| CN201610348685.8A Active CN106020767B (en) | 2016-05-24 | 2016-05-24 | Adder computing circuit based on FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor |
| CN201810173470.6A Pending CN108388419A (en) | 2016-05-24 | 2016-05-24 | Logarithm device computing circuit based on memristor |
| CN201810173543.1A Withdrawn CN108304157A (en) | 2016-05-24 | 2016-05-24 | Integrator computing circuit based on memristor |
Family Applications After (5)
| Application Number | Title | Priority Date | Filing Date |
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| CN201810173408.7A Pending CN108306725A (en) | 2016-05-24 | 2016-05-24 | FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor negative circuit based on Wien bridge circuit |
| CN201810173840.6A Pending CN108279862A (en) | 2016-05-24 | 2016-05-24 | Index device computing circuit based on memristor |
| CN201610348685.8A Active CN106020767B (en) | 2016-05-24 | 2016-05-24 | Adder computing circuit based on FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor |
| CN201810173470.6A Pending CN108388419A (en) | 2016-05-24 | 2016-05-24 | Logarithm device computing circuit based on memristor |
| CN201810173543.1A Withdrawn CN108304157A (en) | 2016-05-24 | 2016-05-24 | Integrator computing circuit based on memristor |
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Families Citing this family (4)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN106921344A (en) * | 2017-04-26 | 2017-07-04 | 常州大学 | A kind of self-oscillation chaos system based on broad sense memristor |
| CN107909146B (en) * | 2017-11-13 | 2021-09-17 | 中国科学院微电子研究所 | Neuron circuit based on volatile threshold transition device |
| CN109117590B (en) * | 2018-09-12 | 2022-11-08 | 成都师范学院 | Voltage fractional order integral control type memristor |
| CN111337811B (en) * | 2020-03-23 | 2021-03-30 | 电子科技大学 | Memristor test circuit |
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| 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 |
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| CN204721366U (en) * | 2015-06-30 | 2015-10-21 | 湖南科技大学 | A kind of Generation of Chaotic Signals based on memristor |
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| US3967105A (en) * | 1975-05-19 | 1976-06-29 | Control Data Corporation | Transistor power and root computing system |
| US9679242B2 (en) * | 2002-03-12 | 2017-06-13 | Knowm Tech, Llc | Memristor apparatus with meta-stable switching elements |
| CN102638030B (en) * | 2012-04-20 | 2014-07-02 | 北京大学 | Voltage protection circuit based on resistive switching memristor and application thereof |
| CN103731128A (en) * | 2013-12-23 | 2014-04-16 | 常州大学 | Memory resistance simulator with first-order diode bridge circuit |
| CN105589678A (en) * | 2014-10-23 | 2016-05-18 | 天津职业技术师范大学 | Time domain finite-difference method implemented by using digital signal processing technique |
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2016
- 2016-05-24 CN CN201810173836.XA patent/CN108399062A/en not_active Withdrawn
- 2016-05-24 CN CN201810173408.7A patent/CN108306725A/en active Pending
- 2016-05-24 CN CN201810173840.6A patent/CN108279862A/en active Pending
- 2016-05-24 CN CN201610348685.8A patent/CN106020767B/en active Active
- 2016-05-24 CN CN201810173470.6A patent/CN108388419A/en active Pending
- 2016-05-24 CN CN201810173543.1A patent/CN108304157A/en not_active Withdrawn
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| 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 |
| CN104916312A (en) * | 2015-06-03 | 2015-09-16 | 华中科技大学 | Memristor programming circuit based on operational amplifier and operating method for memristor programming circuit |
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Also Published As
| Publication number | Publication date |
|---|---|
| CN106020767B (en) | 2018-06-12 |
| CN108304157A (en) | 2018-07-20 |
| CN106020767A (en) | 2016-10-12 |
| CN108306725A (en) | 2018-07-20 |
| CN108388419A (en) | 2018-08-10 |
| CN108279862A (en) | 2018-07-13 |
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Application publication date: 20180814 |