CN106598546A - Logarithm operation circuit based on memristor - Google Patents
Logarithm operation circuit based on memristor Download PDFInfo
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- CN106598546A CN106598546A CN201710079799.1A CN201710079799A CN106598546A CN 106598546 A CN106598546 A CN 106598546A CN 201710079799 A CN201710079799 A CN 201710079799A CN 106598546 A CN106598546 A CN 106598546A
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- diode
- memristor
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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
- G06F7/556—Logarithmic or exponential functions
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- Engineering & Computer Science (AREA)
- Computational Mathematics (AREA)
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- Pure & Applied Mathematics (AREA)
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Abstract
The invention discloses a logarithm operation circuit based on a memristor. The circuit is composed of a diode 1N4148, a capacitor and a resistor, wherein the diode 1N4148 can achieve a Wien bridge function, and the capacitor and the resistor are formed into a RC vibration circuit. On the basis of a diode Wien bridge circuit of a first-order generalized memristor, the inverse operation, addition, integration, differentiation, exponent arithmetic and logarithm operation in the circuit can be simulated. A platform is supplied for a widely applied sine wave RC oscillating circuit and a Wien bridge oscillator which has the advantages of oscillation stability, excellent waveform, convenient continuous adjustment of oscillation frequency in a wider scope, and the like.
Description
Technical field
The present invention relates to a kind of computing circuit, more particularly to a kind of to be based on memristor logarithm device computing circuit.
Background technology
Since reporting from the physical realizability of nanoscale memristor, based in the various application circuits of memristor, memristor
Chaos circuit has obtained relatively broad research, and has substantial amounts of achievement report, and 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 memristor is individually applied in analog circuit, realizes mathematics
In elementary operation it is also fewer at home and abroad, for this purpose, 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, is using very wide
General sine wave RC oscillating circuits, with vibration it is relatively stable, waveform is good, frequency of oscillation easily can connect in wider scope
The wien-bridge oscillator of the advantages of continuous regulation provides a kind of platform.
The content of the invention
It is an object of the invention to provide a kind of logarithm device computing circuit based on memristor, to solve above-mentioned background technology
The problem of middle proposition.
For achieving the above object, the present invention provides following technical scheme:It is a kind of to be based on memristor logarithm device computing circuit, institute
State memristor to be made up of diode (1N4148), electric capacity and resistance, diode 1N4148 realizes Wien bridge circuit function, electric capacity and electricity
Resistance composition RC oscillating circuits;The positive pole of the diode D1 connects the positive pole of diode D4, connects the input of memristor, two pole
The negative pole of pipe 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,
The outfan of memristor is connect, the negative pole of the diode D2 connects one end of electric capacity, and the negative pole of the diode D3 meets diode D2
Positive pole, connect the outfan of memristor, the positive pole of the diode D3 connects the positive pole of diode D4, connects the other end of electric capacity C0,
Ground connection, the positive pole of the diode D4 connect the positive pole of diode D3, connect the other end of electric capacity C0, are grounded, the diode D4's
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
The other end of another terminating resistor R0 of C0, ground connection;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 model
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
Logarithm device computing circuit based on memristor is by memristor, audion and operational amplifier LF347BN (U5) compositions;
The negative input end of the operational amplifier LF347BN (U5) connects the input of logarithmic circuit by memristor Rm5, connects audion T1's
Colelctor electrode, the base earth of the audion, the emitter stage of the audion connect the output of operational amplifier LF347BN (U5),
The positive input terminal ground connection of operational amplifier LF347BN (U5), the positive supply termination VCC of operational amplifier LF347BN (U5), negative electricity
Source meets VEE;Relationship below can be drawn according to the structure of logarithmic circuit:
If the input voltage of logarithmic circuit is Ui7, the electric current on memristor Rm5 is IRm5, the electric current on audion is IE1,
The output voltage of logarithmic circuit is Uo5, according to computing circuit " empty short " and " empty disconnected ", the characteristic principle of audion draws:
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, is using sine wave RC vibration electricity widely
Road, has the advantages that vibration is relatively stablized, waveform is good, the Wen that frequency of oscillation easily can be continuously adjusted in wider scope
Bridge agitator provides a kind of platform.
Description of the drawings
Fig. 1 is the logarithm device 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 clearly
Chu, it is fully described by, a kind of logarithm device computing circuit based on memristor, the memristor is by diode (1N4148), electric capacity
Constitute with resistance, diode 1N4148 realizes Wien bridge circuit function, electric capacity and resistance composition RC oscillating circuits;The diode D1
Positive pole connect the positive pole of diode D4, connect the input of memristor, the negative pole of the diode D1 connects one end of electric capacity C0, connects two
The negative pole of pole pipe D2, the positive pole of the diode D2 connect the negative pole of diode D3, meet the outfan of memristor, the diode D2
Negative pole connect one end of electric capacity, the negative pole of the diode D3 connects the positive pole of diode D2, connects the outfan of memristor, described two
The positive pole of pole pipe 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 connect diode
The positive pole of D3, connects the other end of electric capacity C0, and ground connection, the negative pole of the diode D4 connect the positive pole of diode D1, connects memristor
Input, 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 connect
Ground;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 model
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
Logarithm device computing circuit based on memristor is by memristor, audion and operational amplifier LF347BN (U5) compositions;
The negative input end of the operational amplifier LF347BN (U5) connects the input of logarithmic circuit by memristor Rm5, connects audion T1's
Colelctor electrode, the base earth of the audion, the emitter stage of the audion connect the output of operational amplifier LF347BN (U5),
The positive input terminal ground connection of operational amplifier LF347BN (U5), the positive supply termination VCC of operational amplifier LF347BN (U5), negative electricity
Source meets VEE;Relationship below can be drawn according to the structure of logarithmic circuit:
If the input voltage of logarithmic circuit is Ui7, the electric current on memristor Rm5 is IRm5, the electric current on audion is IE1,
The output voltage of logarithmic circuit is Uo5, according to computing circuit " empty short " and " empty disconnected ", the characteristic principle of audion draws:
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 spirit or essential attributes without departing substantially from the present invention, the present invention can be realized in other specific forms.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 is required rather than described above is limited, 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 and limit involved claim.
Claims (1)
1. the logarithm device computing circuit based on memristor, it is characterised in that:The memristor by diode (1N4148), electric capacity and
Resistance is constituted, and diode 1N4148 realizes Wien bridge circuit function, electric capacity and resistance composition RC oscillating circuits;The diode D1's
Positive 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 two poles
The negative pole of pipe D2, the positive pole of the diode D2 connect the negative pole of diode D3, connect the outfan of memristor, the diode D2's
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 outfan of memristor, two pole
The positive pole of pipe 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 meet diode D3
Positive pole, connect the other end of electric capacity C0, be grounded, the negative pole of the diode D4 connects the positive pole of diode D1, connects the defeated of memristor
Enter 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;
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 model is:
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
Logarithm device computing circuit based on memristor is by memristor, audion and operational amplifier LF347BN (U5) compositions;It is described
The negative input end of operational amplifier LF347BN (U5) connects the input of logarithmic circuit by memristor Rm5, connects the current collection of audion T1
Pole, the base earth of the audion, the emitter stage of the audion connect the output of operational amplifier LF347BN (U5), computing
The positive input terminal ground connection of amplifier LF347BN (U5), the positive supply termination VCC of operational amplifier LF347BN (U5), negative power end
Meet VEE;Relationship below can be drawn according to the structure of logarithmic circuit:
If the input voltage of logarithmic circuit is Ui7, the electric current on memristor Rm5 is IRm5, the electric current on audion is IE1, logarithm electricity
The output voltage on road is Uo5, according to computing circuit " empty short " and " empty disconnected ", the characteristic principle of audion draws:
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CN201710079799.1A CN106598546A (en) | 2017-02-14 | 2017-02-14 | Logarithm operation circuit based on memristor |
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CN201710079799.1A CN106598546A (en) | 2017-02-14 | 2017-02-14 | Logarithm operation circuit based on memristor |
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Cited By (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN108599919A (en) * | 2018-05-10 | 2018-09-28 | 杭州电子科技大学 | A kind of circuit model of logarithm chaos system |
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2017
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Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN108599919A (en) * | 2018-05-10 | 2018-09-28 | 杭州电子科技大学 | A kind of circuit model of logarithm chaos system |
CN108599919B (en) * | 2018-05-10 | 2020-10-27 | 杭州电子科技大学 | Circuit model of logarithmic chaotic system |
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Application publication date: 20170426 |
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