CN108388419A - Logarithm device computing circuit based on memristor - Google Patents

Logarithm device computing circuit based on memristor Download PDF

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Publication number
CN108388419A
CN108388419A CN201810173470.6A CN201810173470A CN108388419A CN 108388419 A CN108388419 A CN 108388419A CN 201810173470 A CN201810173470 A CN 201810173470A CN 108388419 A CN108388419 A CN 108388419A
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diode
memristor
connects
capacitance
anode
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杜玮嘉
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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
    • G06F7/60Methods 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
    • G06F7/64Digital 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
    • 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
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/001Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols using chaotic signals
    • 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)
  • Mathematical Analysis (AREA)
  • Pure & Applied Mathematics (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Computing Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Mathematical Physics (AREA)
  • Signal Processing (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Computer Security & Cryptography (AREA)
  • Inductance-Capacitance Distribution Constants And Capacitance-Resistance Oscillators (AREA)
  • Oscillators With Electromechanical Resonators (AREA)
  • Amplifiers (AREA)

Abstract

The invention discloses a kind of logarithm device 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

Logarithm device computing circuit based on memristor
Technical field
The present invention relates to a kind of computing circuits, more particularly to a kind of to be based on memristor logarithm device 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 logarithm device 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 logarithm device 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
Logarithm device computing circuit based on memristor is by memristor, triode 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 triode T1's Collector, the base earth of the triode, the emitter of the triode connect the output of operational amplifier LF347BN (U5), The positive input terminal of operational amplifier LF347BN (U5) is grounded, and the positive supply of operational amplifier LF347BN (U5) terminates VCC, negative electricity Source meets VEE;Following relationship can be obtained 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 triode is IE1, The output voltage of logarithmic circuit is Uo5, according to computing circuit " empty short " and " void is disconnected ", the characteristic principle of triode obtains:
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 logarithm device 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 logarithm device 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
Logarithm device computing circuit based on memristor is by memristor, triode 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 triode T1's Collector, the base earth of the triode, the emitter of the triode connect the output of operational amplifier LF347BN (U5), The positive input terminal of operational amplifier LF347BN (U5) is grounded, and the positive supply of operational amplifier LF347BN (U5) terminates VCC, negative electricity Source meets VEE;Following relationship can be obtained 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 triode is IE1, The output voltage of logarithmic circuit is Uo5, according to computing circuit " empty short " and " void is disconnected ", the characteristic principle of triode obtains:
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 utility model is by institute Attached claim rather than above description limit, it is intended that will fall within the meaning and scope of the equivalent requirements of the claims All changes are included within the present invention.Any reference numeral in claim should not be considered as to the involved right of limitation to want It asks.

Claims (1)

1. the logarithm device 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
Logarithm device computing circuit based on memristor is by memristor, triode 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 triode T1 Pole, the base earth of the triode, the emitter of the triode connect the output of operational amplifier LF347BN (U5), operation The positive input terminal of amplifier LF347BN (U5) is grounded, and the positive supply of operational amplifier LF347BN (U5) terminates VCC, negative power end Meet VEE;Following relationship can be obtained 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 triode is IE1, logarithm electricity The output voltage on road is Uo5, according to computing circuit " empty short " and " void is disconnected ", the characteristic principle of triode obtains:
CN201810173470.6A 2016-05-24 2016-05-24 Logarithm device computing circuit based on memristor Pending CN108388419A (en)

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CN201610348685.8A CN106020767B (en) 2016-05-24 2016-05-24 Adder computing circuit based on FIRST ORDER GENERALIZED DISTRIBUTED PARAMETER memristor

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CN201810173836.XA Withdrawn CN108399062A (en) 2016-05-24 2016-05-24 Differentiator computing circuit based on memristor
CN201810173840.6A Pending CN108279862A (en) 2016-05-24 2016-05-24 Index device 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
CN201810173543.1A Withdrawn CN108304157A (en) 2016-05-24 2016-05-24 Integrator computing circuit based on memristor
CN201810173470.6A Pending CN108388419A (en) 2016-05-24 2016-05-24 Logarithm 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

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CN201810173840.6A Pending CN108279862A (en) 2016-05-24 2016-05-24 Index device 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
CN201810173543.1A Withdrawn CN108304157A (en) 2016-05-24 2016-05-24 Integrator computing circuit based on memristor

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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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CN108399062A (en) 2018-08-14
CN106020767A (en) 2016-10-12
CN108306725A (en) 2018-07-20
CN108304157A (en) 2018-07-20
CN106020767B (en) 2018-06-12

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Application publication date: 20180810