CN106775574A - Anti-phase computing circuit based on memristor - Google Patents

Anti-phase computing circuit based on memristor Download PDF

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Publication number
CN106775574A
CN106775574A CN201611221740.3A CN201611221740A CN106775574A CN 106775574 A CN106775574 A CN 106775574A CN 201611221740 A CN201611221740 A CN 201611221740A CN 106775574 A CN106775574 A CN 106775574A
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China
Prior art keywords
diode
memristor
connects
electric capacity
positive pole
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CN201611221740.3A
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Chinese (zh)
Inventor
王春梅
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Binzhou University
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Binzhou University
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Priority to CN201611221740.3A priority Critical patent/CN106775574A/en
Publication of CN106775574A publication Critical patent/CN106775574A/en
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/38Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
    • G06F7/48Methods 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
    • G06F7/50Adding; Subtracting
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/38Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
    • G06F7/48Methods 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
    • G06F7/544Methods 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
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/38Methods or arrangements for performing computations using exclusively denominational number representation, e.g. using binary, ternary, decimal representation
    • G06F7/48Methods 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
    • G06F7/544Methods 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
    • G06F7/556Logarithmic or exponential functions

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computing Systems (AREA)
  • Mathematical Optimization (AREA)
  • General Engineering & Computer Science (AREA)
  • Oscillators With Electromechanical Resonators (AREA)

Abstract

The invention discloses a kind of anti-phase computing circuit based on memristor, 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.Propose based on the diode Wien Bridge Circuit of FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor, realize anti-phase, addition in analog circuit, integration, differential, index and logarithm operation, it is, using sine wave RC oscillating circuits widely, have the advantages that the wien-bridge oscillator that vibration is relatively stablized, waveform is good, frequency of oscillation can be continuously adjusted easily in scope wider provides a kind of platform.

Description

Anti-phase computing circuit based on memristor
Technical field
It is more particularly to a kind of to be based on the anti-phase computing circuit of memristor the present invention relates to a kind of computing circuit.
Background technology
Since being reported from the physical realizability of nanoscale memristor, in the various application circuits based on memristor, memristor Chaos circuit has obtained relatively broad research, and has substantial amounts of achievement to report that memristor is a kind of nonlinear circuit element, with Other three kinds of basic circuit elements carry out organic linking, it is easy to construct various based on memristor, and memristor is used for chaos Research has been generated compares far-reaching influence, but during memristor individually to be applied to analog circuit, realizes mathematics In basic operation it is also fewer at home and abroad, therefore, the present invention is proposed with the diode Wen of FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor electricity Based on bridge circuit, anti-phase, addition in analog circuit, integration, differential, index and logarithm operation are realized, be using very wide General sine wave RC oscillating circuits, relatively stablize, waveform is good, frequency of oscillation can easily connect in scope wider with vibration The wien-bridge oscillator of the advantages of continuous regulation provides a kind of platform.
The content of the invention
The anti-phase computing circuit of memristor is based on it is an object of the invention to provide one kind, to solve to be carried in above-mentioned background technology The problem for going out.
To achieve the above object, the present invention provides following technical scheme:One kind is based on the anti-phase computing circuit of memristor, described Memristor 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;The positive pole of the diode D1 connects the positive pole of diode D4, connects the input of memristor, the diode The negative pole of D1 connects one end of electric capacity C0, connects the negative pole of diode D2, and the positive pole of the diode D2 connects the negative pole of diode D3, connects The output end of memristor, the negative pole of the diode D2 connects one end of electric capacity, and the negative pole of the diode D3 connects diode D2's Positive pole, connects the output end of memristor, and the positive pole of the diode D3 connects the positive pole of diode D4, connects the other end of electric capacity C0, connects Ground, the positive pole of the diode D4 connects the positive pole of diode D3, connects the other end of electric capacity C0, is grounded, and the diode D4's is negative Pole connects the positive pole of diode D1, connects the input of memristor, one end of a terminating resistor R0 of the electric capacity C0, the electric capacity C0 Another terminating resistor R0 the other end, ground connection;Circuit according to diode Wien bridge circuit draws relationship below:
Setting memristor two 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 is led expression formula and be
Anti-phase computing circuit based on memristor is made up of resistance, memristor and operational amplifier (LF347BN), the fortune The negative input end of amplifier LF347BN (U1) is calculated by the input of the reversed circuitry phases of resistance Ri1, computing is connect by memristor Rm and is put Big device (output end of LF347BN (U1), the positive input terminal ground connection of operational amplifier LF347BN (U1), operational amplifier The negative supply termination VEE of positive supply the termination VCC, operational amplifier LF347BN (U1) of LF347BN (U1);According to negative circuit Draw relationship below:
If the electric current on resistance Ri1 is IRi1, the electric current on memristor Rm is IRm1, voltage is Vm1,
Drawn according to the short and empty disconnected principle of void:IRi1=IRm1 Uo1=Vm1
Beneficial effect:The present invention is proposed based on the diode Wien Bridge Circuit of FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor, is realized Anti-phase, addition, integration, differential, index and logarithm operation in analog circuit, are to vibrate electricity using sine wave RC widely Road, has the advantages that the Wen that vibration is relatively stablized, waveform is good, frequency of oscillation can be continuously adjusted easily in scope wider Bridge oscillator provides a kind of platform.
Brief description of the drawings
Fig. 1 is the anti-phase computing circuit for realizing memristor.
Fig. 2 is to realize the diode Wien Bridge Circuit based on memristor.
Specific embodiment
Below in conjunction with the accompanying drawing 1-2 in the embodiment of the present invention, the technical scheme in the embodiment of the present invention is carried out it is clear, It is fully described by, one kind is based on the anti-phase computing circuit of memristor, and the memristor is by diode (1N4148), electric capacity and resistance group Into diode 1N4148 realizes Wien bridge circuit function, electric capacity and resistance composition RC oscillating circuits;The positive pole of the diode D1 connects The positive pole of diode D4, connects the input of memristor, and the negative pole of the diode D1 connects one end of electric capacity C0, connects diode D2's Negative pole, the positive pole of the diode D2 connects the negative pole of diode D3, connects the output end of memristor, and the negative pole of the diode D2 connects One end of electric capacity, the negative pole of the diode D3 connects the positive pole of diode D2, connects the output end of memristor, the diode D3's Positive pole connects the positive pole of diode D4, connects the other end of electric capacity C0, and ground connection, the positive pole of the diode D4 is meeting diode D3 just Pole, connects the other end of electric capacity C0, and ground connection, the negative pole of the diode D4 connects the positive pole of diode D1, connects the input of memristor, One end of the one terminating resistor R0 of the electric capacity C0, the other end of another terminating resistor R0 of the electric capacity C0, ground connection;According to two The circuit of pole pipe Wien bridge circuit draws relationship below:
Setting memristor two 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 is led expression formula and be
Anti-phase computing circuit based on memristor is made up of resistance, memristor and operational amplifier (LF347BN), the fortune The negative input end of amplifier LF347BN (U1) is calculated by the input of the reversed circuitry phases of resistance Ri1, computing is connect by memristor Rm and is put Big device (output end of LF347BN (U1), the positive input terminal ground connection of operational amplifier LF347BN (U1), operational amplifier The negative supply termination VEE of positive supply the termination VCC, operational amplifier LF347BN (U1) of LF347BN (U1);According to negative circuit Draw relationship below:
If the electric current on resistance Ri1 is IRi1, the electric current on memristor Rm is IRm1, voltage is Vm1,
Drawn according to the short and empty disconnected principle of void:IRi1=IRm1 Uo1=Vm1
It is obvious to a person skilled in the art that the invention is not restricted to the details of above-mentioned one exemplary embodiment, Er Qie In the case of without departing substantially from spirit or essential attributes of the invention, the present invention can be in other specific forms realized.Therefore, no matter From the point of view of which point, embodiment all should be regarded as exemplary, and be nonrestrictive, the scope of the present invention is by appended power Profit requires to be limited rather than described above, it is intended that all in the implication and scope of the equivalency of claim by falling Change is included in the present invention.Any reference in claim should not be considered as the claim involved by limitation.

Claims (1)

1. the anti-phase computing circuit of memristor is based on, it is characterised in that:The memristor is by diode (1N4148), electric capacity and electricity Resistance composition, diode 1N4148 realizes Wien bridge circuit function, electric capacity and resistance composition RC oscillating circuits;The diode D1 is just Pole connects the positive pole of diode D4, connects the input of memristor, and the negative pole of the diode D1 connects one end of electric capacity C0, connects diode The negative pole of D2, the positive pole of the diode D2 connects the negative pole of diode D3, connects the output end of memristor, and the diode D2's is negative Pole connects one end of electric capacity, and the negative pole of the diode D3 connects the positive pole of diode D2, connects the output end of memristor, the diode The positive pole of D3 connects the positive pole of diode D4, connects the other end of electric capacity C0, and ground connection, the positive pole of the diode D4 connects diode D3's Positive pole, connects the other end of electric capacity C0, and ground connection, the negative pole of the diode D4 connects the positive pole of diode D1, connects the input of memristor End, one end of a terminating resistor R0 of the electric capacity C0, the other end of another terminating resistor R0 of the electric capacity C0, ground connection;Root Relationship below is drawn according to the circuit of diode Wien bridge circuit:
Setting memristor two ends input voltage and electric current are respectively Vm and Im, electric capacity C0Both end voltage is V0, its Mathematical Modeling is:
dV 0 d t = 2 I s e - ρV 0 cosh ( ρV m ) C 0 - V 0 R 0 C 0 - 2 I s C 0
Wherein, ρ=1/ (2nVT);Is, n and VTDiode reverse saturation current, emission ratio and thermal voltage are represented respectively, thus, Can derive that recalling for memristor is led expression formula and be
G m = 2 I s e - ρV 0 sinh ( ρV m ) V m
Anti-phase computing circuit based on memristor is made up of resistance, memristor and operational amplifier (LF347BN), and the computing is put The input that the negative input end of big device LF347BN (U1) passes through the reversed circuitry phases of resistance Ril, operational amplifier is connect by memristor Rm (output end of LF347BN (U1), the positive input terminal ground connection of operational amplifier LF347BN (U1), operational amplifier LF347BN (U1) the negative supply termination VEE of positive supply termination VCC, operational amplifier LF347BN (U1);Drawn according to negative circuit following Relational expression:
If the electric current on resistance Ri1 is IRi1, the electric current on memristor Rm is IRm1, voltage is Vm1,
Drawn according to the short and empty disconnected principle of void:IRi1=IRm1 Uo1=Vm1
U i 1 = - R i 1 · G m · U o 1 = - R i 1 · 2 I s e - ρv 0 sinh ( ρU 01 ) .
CN201611221740.3A 2016-12-23 2016-12-23 Anti-phase computing circuit based on memristor Withdrawn CN106775574A (en)

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Application Number Priority Date Filing Date Title
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Application Number Priority Date Filing Date Title
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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110321597A (en) * 2019-06-06 2019-10-11 武汉工程大学 A kind of differential input computing circuit based on memristor

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110321597A (en) * 2019-06-06 2019-10-11 武汉工程大学 A kind of differential input computing circuit based on memristor

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Application publication date: 20170531