CN105871535A - Amplitude-adjustable chaotic signal source - Google Patents
Amplitude-adjustable chaotic signal source Download PDFInfo
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- CN105871535A CN105871535A CN201610398370.4A CN201610398370A CN105871535A CN 105871535 A CN105871535 A CN 105871535A CN 201610398370 A CN201610398370 A CN 201610398370A CN 105871535 A CN105871535 A CN 105871535A
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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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Abstract
The invention discloses an amplitude-adjustable chaotic signal source. Integral summability circuits of four branches are used as a framework; the non-linear feedback is realized through a simulation strobing gate circuit and an absolute value calculation unit; by combining the four linear feedback items and one direct current control item, a complicated chaotic sucker with the controllable amplitude value size is output; four paths of chaotic signals are obtained; through the direct current input control in the third dimension, the amplitude regulation on the four-dimensional chaotic signals output by the system is realized. The chaotic signal source can regulate the signal intensity of the chaotic signal source on four branches through a potentiometer or a variable resistor or a power supply direct current voltage source; the regulation on a plurality of feedback items due to scale conversion again and the hardware amplifier can be avoided. The amplitude-adjustable chaotic signal source has the advantages that the circuit realization and debugging difficulty is reduced; the convenience is provided for the application of the chaotic signal source to electronic and information engineering.
Description
Technical field
The invention belongs to electronics, communication and information engineering technical field, super mixed particularly to a kind of width-adjustable
Ignorant signal source.
Background technology
Chaos or hyperchaos signal as a kind of broadband class stochastic signal, instrument and meter, communication,
The field of engineering technology such as radar have broad application prospects.In engineering, the signal of application is typically passed through putting
The pretreatment such as big or decay or signal condition link enter into the core layer of process.The pre-place of signal
Reason or modulate circuit to mate with handled signal bandwidth could meet requirement, but chaotic signal
Broadband character make correspondence Signal Pretreatment or signal condition become difficulty, any unnecessary electricity
Also easily priming signal distortion and the deformation of circuit component or spare system.
The patent of invention of hyperchaos signal source is more disturbance rejection control design side based on hyperchaos at present
Method (application number: CN201510829084.4), quantum image encryption method (application number:
CN201510800870.1), spatial network cross-domain anonymous Identity authentication method based on hyperchaos encryption
(application number: CN201510621310.X), a kind of Chen hyperchaos system based on memristor containing y side
The adaptive synchronicity method of system and circuit (application number: CN201510571092.3) etc., and about
The patent of invention of chaos signal source, then relate to circuit design, its Patent [grant number
ZL200910183379.3] a kind of changeable three rank perseverance Lyapunov exponential spectrum chaos circuits are proposed, should
Circuit realizes nonlinear interaction by absolute value term, by constant control item (corresponding to DC source electricity
Pressure) realize the amplitude adjusted of chaotic signal, this regulation does not change the Lyapunov exponential spectrum of system.
Four wing chaotic signal source circuit that patent [grant number ZL201210395656.9] is invented, utilize intersection to take advantage of
Product term realizes non-linear, four wing chaos attractors that output is complicated, and anti-by cross-product term
The regulation of feedback intensity realizes the amplitude regulation and control of other bidimensional chaotic signals, above etc. is both for mixing
The amplitude regulation and control of ignorant signal, and the amplitude about hyperchaos signal regulates and controls problem, the most not yet proposes
Solution.Additionally, investigate from the angle of system equation, a lot of chaos signal sources are all derived from
There is certain symmetric dynamic system, and this type of system has symmetry breaking under a lot of parameters and leads
The multistable feature caused, this is just higher to the design of reliable chaos signal source and corresponding amplitude modulation proposition
Requirement.Hyperchaotic circuit proposed by the invention comprehensively uses absolute value nonlinear terms and simulation gating
Unit, obtains the hyperchaos strange attractor of symmetry and complexity, and this attractor has under set parameter
Global Attractiveness, is therefore changing the size of DC source supply voltage or is changing the electricity of place branch road
Resistance can realize the free amplitude of system four-dimension output signal and control.Present invention reduces hyperchaos signal source
Circuit design difficulty, overcome that other hyperchaotic circuit is high to equipment requirements, equipment is unstable, whole
The shortcomings such as machine is huge；The amplitude regulation and control of signal source will not produce new state, because system generation is super
Chaos attractor has Global Attractiveness, thus considers resetting, significantly of initial value the most especially
Reduce the difficulty of circuit debugging.
The design of the most many hyperchaotic circuits is based on Lorenz system, by increasing one-dimensional and adding
New feedback term, it is achieved hyperchaos, the hyperchaotic system realized by the method usually contain nine or
Person more；Other hyperchaotic circuits even introduce more complicated non-linear feedback function or dimension
Exceeding the four-dimension, whole circuit structure is complicated, and the amplitude regulation and control of corresponding hyperchaos signal also will be by means of
The joint debugging of multiple resistance, realizes changing multiple feedback term coefficients of internal system simultaneously.Therefore electricity
The road output poor reliability of hyperchaos signal, debugging difficulty are big, it is difficult to meet requirement of engineering.The present invention
Proposing a hyperchaotic system, this system only comprises seven, simulates gating unit and one with one
Signed magnitude arithmetic(al) unit is basic feature, four inner linear feedbacks within coupling system, utilizes straight
The variable resistance of flow control item or respective branch realizes the yardstick regulation and control of Hyperchaotic Attractors.Extraneous defeated
The DC energy entered is transformed into hyperchaos signal communication energy, adapts to the signal intensity of each application scenario
Regulation and control need.
Summary of the invention
Goal of the invention: the present invention provides a kind of width-adjustable hyperchaos signal source, to solve in prior art
Problem.
Technical scheme: for achieving the above object, the technical solution used in the present invention is:
A kind of width-adjustable hyperchaos signal source, including four branch roads, wherein: first, second and third
Road all includes two inputs, and it is long-pending that two inputs of Article 1 branch road connect the summation of Article 1 branch road respectively
Divide outfan and the outfan of Article 2 branch road of arithmetic element U1；Two inputs of Article 2 branch road
Connecing outfan and the outfan of a simulation gated circuit of Article 4 branch road respectively, described simulation is selected
The input of open gate circuit is Article 3 branch output signal, and its gate control signal is from Article 1
The outfan of branch road summation integral arithmetic unit U1；One input termination DC source of Article 3 branch road
Positive polarity, the signal of another input of Article 3 branch road come from Article 1 branch road output letter
Number；Article 4 branch road includes an input, connects the inversion signal of the output signal of Article 2 branch road.
Further, described Article 1 branch road includes sue for peace integral arithmetic unit U1, negative absolute value realization
Unit U2, resistance R1, R2, R3 and R4, diode D1 and electric capacity C1, wherein, Article 1 is propped up
The outfan of road summation integral arithmetic unit U1 connects the anti-phase of summation integral arithmetic unit U1 through resistance R1
Input, Article 2 branch road output end signal connects the anti-phase of summation integral arithmetic unit U1 through resistance R2
Input, the inverting input of summation integral arithmetic unit U1 is connected with one end of electric capacity C1, electric capacity
The outfan of the other end of C1 and summation integral arithmetic unit U1 connects negative absolute value through resistance R3 and realizes single
The inverting input of unit U2, negative absolute value realizes the negative pole of the output terminating diode D1 of unit U2,
One end of inverting input and resistance R4 that negative absolute value realizes unit U2 is connected, and resistance R4
The positive pole of the other end and diode D1 connects the outfan of Article 1 branch road.
Further, Article 2 branch road include simulate gated circuit, summation integral arithmetic unit U3,
Anti-phase amplifying unit U4, resistance R5, R6, R7 and R8 and electric capacity C2, wherein, Article 4 branch road
Outfan through resistance R5 connect summation integral arithmetic unit U3 inverting input, simulate storbing gate
The outfan of circuit connects the inverting input of summation integral arithmetic unit U3 through resistance R6, and summation is long-pending
The inverting input of point arithmetic element U3 is connected with one end of electric capacity C2, the other end of electric capacity C2 with ask
With the inverting input that the outfan of integral arithmetic unit U3 meets anti-phase amplifying unit U4 through resistance R7,
The inverting input of anti-phase amplifying unit U4 is connected with one end of resistance R8, and another of resistance R8
The outfan of the output termination Article 2 branch road of end and anti-phase amplifying unit U4.
Further, described Article 3 branch road include DC source Vcc, summation integral arithmetic unit U5,
Variable resistance or potentiometer R9, resistance R10 and electric capacity C3, wherein, the positive pole of DC source Vcc
The inverting input of summation integral arithmetic unit U5, Article 1 is connect through variable resistance or potentiometer R9
Branch road outfan connects the inverting input of summation integral arithmetic unit U5 through resistance R10, integration of suing for peace
The inverting input of arithmetic element U5 is connected with one end of electric capacity C3, another termination summation of electric capacity C3
The outfan of the integral arithmetic unit U5 i.e. outfan of Article 3 branch road.
Further, described Article 4 branch road includes sue for peace integral arithmetic unit U6, anti-phase amplifying unit
U7, resistance R11, R12 and R13 and electric capacity C4, wherein, Article 2 branch output signal anti-phase
Signal connects the inverting input of summation integral arithmetic unit U6 by resistance R11, integral operation list of suing for peace
Unit's inverting input of U6 is connected with one end of electric capacity C4, the other end of electric capacity C4 and summation integration fortune
Calculate the outfan of unit U6 and connect the inverting input of anti-phase amplifying unit U7 through resistance R12, anti-phase put
The inverting input of big unit U7 is connected with one end of resistance R13, and the other end of resistance R13 and
The outfan of the output termination Article 4 branch road of anti-phase amplifying unit U7.
Further, described width-adjustable hyperchaos signal source, it exports the width of all hyperchaos signals
Degree controls can be by the size of described DC source supply voltage Vcc or the variable resistance being attached thereto
Or the regulation of potentiometer R9 realizes.
Further, described simulation gated circuit can be realized jointly controlling, also by amplifier and diode
Realization can be combined by amplifier and multiplier.
Further, described simulation gated circuit includes two operational amplifier Ua and Ub, two electricity
A resistance Ra and Rb and multiplier M, the selected input signal s of simulation gated circuit directly and its
One input of internal multiplier M is connected, and its gate control signal c is then put by two computings
Big device Ua, Ub link another input of internal multiplier M；Operational amplifier Ua's is anti-phase defeated
Entering end and connect gate control signal c, the outfan of operational amplifier Ua is connected to one end of resistance Ra,
The other end of resistance Ra is attached directly to the inverting input of operational amplifier Ub, and by another electricity
Resistance Rb is attached directly to the outfan of operational amplifier Ub, and the outfan of multiplier M provides simulation gating
Gating signal w corresponding to gate circuit selected input signal s.
Further, the outfan of described Article 3 branch road is connected to simulate the signal end of gated circuit,
Selected input signal is provided, and the outfan of Article 1 branch road summation integral arithmetic unit U1 is connected to mould
Intend the control end of gated circuit, it is provided that gate control signal.
Further, the in-phase input end of described integration summation operation unit U1, U3, U5 and U6 is equal
Ground connection, negative absolute value realizes the in-phase input end ground connection of unit U2, anti-phase amplifying unit U4's and U7
The equal ground connection of in-phase input end, the minus earth of DC source Vcc.
Further, the homophase input of two operational amplifiers Ua, Ub of described simulation gated circuit
Hold equal ground connection.
Beneficial effect: the present invention uses one group of simulation gated circuit and a signed magnitude arithmetic(al) unit real
Existing nonlinear feedback, by four road integration summation operation circuit, the hyperchaos that output amplitude size is controlled
Signal.Hyperchaos signal source of the present invention can be by potentiometer or variable resistance or supplying DC voltage
The signal intensity of hyperchaos signal on source regulation four branch roads of circuit, it is to avoid change of scale is carried again
The adjustment to multiple feedback terms come and the design of hardware amplifier.Present approach reduces circuit realiration and
The difficulty of debugging, is applied to Electronics and Information Engineering for hyperchaos signal source and provides convenience.
Accompanying drawing explanation
The projection in phase plane of Fig. 1 width-adjustable hyperchaos phase rail, wherein: figure (a) is x-y plane
Figure, figure (b) is x-z-plane, (c) y-z plane figure, (d) x-u plane graph；
The circuit theory diagrams of Fig. 2 width-adjustable hyperchaos signal source；
Fig. 3 width-adjustable hyperchaos signal source is simulated gated circuit cut-away view；
Fig. 4 width-adjustable hyperchaos signal source output oscillograph phase rail figure (C1=C2=C3=C4=1nF,
R1=R2=R5=R6=R7=R8=R10=R12=R13=100k Ω, R3=R4=470 Ω, R9=900 Ω, R11=400 Ω,
Vcc=9V), wherein: figure (a) is x-y plane figure, figure (b) is x-z-plane, and (c) y-z puts down
Face figure, (d) x-u plane graph.
Detailed description of the invention
Below in conjunction with embodiment, the present invention is further described.
A kind of width-adjustable hyperchaos signal source is with the integration summing circuit of four branch roads as framework, by one
Individual simulation gated circuit and a signed magnitude arithmetic(al) unit realize nonlinear feedback, linear in conjunction with four
Feedback term and a direct current input control item, export the controlled hyperchaos of complex amplitude size and inhale
Introduction, obtains four road hyperchaos signals, is inputted by the direct current in the third dimension and controls, it is achieved to system
Export the amplitude adjusted of four dimension ultra-chaos signals.
A kind of width-adjustable hyperchaos signal source, including four branch roads, wherein: first, second and third
Road all includes two inputs, and it is long-pending that two inputs of Article 1 branch road connect the summation of Article 1 branch road respectively
Divide outfan and the outfan of Article 2 branch road of arithmetic element U1；Two inputs of Article 2 branch road
Connecing outfan and the outfan of a simulation gated circuit of Article 4 branch road respectively, described simulation is selected
The input of open gate circuit is Article 3 branch output signal, and its gate control signal is from Article 1
The outfan of branch road summation integral arithmetic unit U1；One input termination DC source of Article 3 branch road
Positive polarity, the signal of another input of Article 3 branch road come from Article 1 branch road output letter
Number；Article 4 branch road includes an input, connects the inversion signal of the output signal of Article 2 branch road.
Described Article 1 branch road includes that summation integral arithmetic unit U1, negative absolute value realize unit U2, electricity
Resistance R1, R2, R3 and R4, diode D1 and electric capacity C1, wherein, Article 1 branch road summation integration
The outfan of arithmetic element U1 connects the inverting input of summation integral arithmetic unit U1 through resistance R1, the
Article two, the inverting input that branch road output end signal connects summation integral arithmetic unit U1 through resistance R2, asks
It is connected with one end of electric capacity C1 with the inverting input of integral arithmetic unit U1, the other end of electric capacity C1
Connect negative absolute value with the outfan of summation integral arithmetic unit U1 through resistance R3 and realize the anti-phase of unit U2
Input, negative absolute value realizes the negative pole of the output terminating diode D1 of unit U2, and negative absolute value is real
The inverting input of existing unit U2 is connected with one end of resistance R4, and the other end of resistance R4 and two
The positive pole of pole pipe D1 connects the outfan of Article 1 branch road.
Article 2 branch road includes simulating gated circuit, summation integral arithmetic unit U3, anti-phase amplification list
Unit U4, resistance R5, R6, R7 and R8 and electric capacity C2, wherein, the outfan warp of Article 4 branch road
Cross resistance R5 and connect the inverting input of summation integral arithmetic unit U3, the output of simulation gated circuit
Hold the inverting input connecing summation integral arithmetic unit U3 through resistance R6, integral arithmetic unit of suing for peace
The inverting input of U3 is connected with one end of electric capacity C2, the other end of electric capacity C2 and summation integral operation
The outfan of unit U3 connects the inverting input of anti-phase amplifying unit U4, anti-phase amplification list through resistance R7
Unit's inverting input of U4 is connected with one end of resistance R8, and the other end of resistance R8 and anti-phase put
The outfan of the output termination Article 2 branch road of big unit U4.
Described Article 3 branch road includes DC source Vcc, summation integral arithmetic unit U5, variable resistance
Or potentiometer R9, resistance R10 and electric capacity C3, wherein, the positive pole of DC source Vcc is through variable
Resistance or potentiometer R9 connect the inverting input of summation integral arithmetic unit U5, and Article 1 branch road exports
Hold the inverting input connecing summation integral arithmetic unit U5 through resistance R10, integral arithmetic unit of suing for peace
The inverting input of U5 is connected with one end of electric capacity C3, another termination summation integral operation of electric capacity C3
The outfan of the unit U5 i.e. outfan of Article 3 branch road.
Described Article 4 branch road include sue for peace integral arithmetic unit U6, anti-phase amplifying unit U7, resistance R11,
R12 and R13 and electric capacity C4, wherein, the inversion signal of Article 2 branch output signal passes through resistance
R11 connect summation integral arithmetic unit U6 inverting input, summation integral arithmetic unit U6 anti-phase defeated
Enter end to be connected with one end of electric capacity C4, the other end of electric capacity C4 and the defeated of integral arithmetic unit U6 of suing for peace
Going out end and connect the inverting input of anti-phase amplifying unit U7 through resistance R12, anti-phase amplifying unit U7's is anti-
Phase input is connected with one end of resistance R13, and the other end of resistance R13 and anti-phase amplifying unit
The outfan of the output termination Article 4 branch road of U7.
Described width-adjustable hyperchaos signal source, its amplitude exporting all hyperchaos signals controls to lead to
Cross the size of described DC source supply voltage Vcc or the variable resistance being attached thereto or potentiometer R9
Regulation realize.
Described simulation gated circuit can be realized jointly controlling by amplifier and diode, it is also possible to by fortune
Put with multiplier to combine realization.
Described simulation gated circuit includes two operational amplifier Ua and Ub, two resistance Ra and Rb
And a multiplier M, the selected input signal s of simulation gated circuit are direct and its internal multiplier
One input of M is connected, and its gate control signal c is then by two operational amplifiers Ua, Ub
Link another input of internal multiplier M；The inverting input of operational amplifier Ua connects gating
Control signal c, the outfan of operational amplifier Ua is connected to one end of resistance Ra, and resistance Ra's is another
One end is attached directly to the inverting input of operational amplifier Ub, and is directly connected by another resistance Rb
To the outfan of operational amplifier Ub, it is defeated that the outfan of multiplier M provides simulation gated circuit gating
Enter gating signal w corresponding to signal s.
The outfan of described Article 3 branch road is connected to simulate the signal end of gated circuit, it is provided that gate defeated
Enter signal, and the outfan of Article 1 branch road summation integral arithmetic unit U1 is connected to simulate storbing gate electricity
The control end on road, it is provided that gate control signal.
The equal ground connection of in-phase input end of described integration summation operation unit U1, U3, U5 and U6, negative exhausted
Value is realized the in-phase input end ground connection of unit U2, the in-phase input end of anti-phase amplifying unit U4 and U7
All ground connection, minus earths of DC source Vcc.
The equal ground connection of in-phase input end of two operational amplifiers Ua, Ub of described simulation gated circuit.
The kinetics equation of width-adjustable hyperchaos signal source and circuit structure, the circuit of the present invention can be used
Following dynamic systems equation describes,
The equation formally from the point of view of, comprise four simple first orders feedback, an absolute value term, a bag
Switch selecting unit containing sign function and a constant term.Work as a=1, during b=0.25, be
System output Hyperchaotic Attractors, as it is shown in figure 1, now the Weighted Liapunov Function corresponding to system is
(0.064,0.033,0-1.098).The closing feedback system that this system can be made up of four branch roads
Realize, when using four integration summation operation loops, road to realize, circuit diagram as in figure 2 it is shown, on
State math equation and be converted into more specific circuit equation,
Circuit equation is consistent with system dynamics equation.Here, in system, the coefficient of each feedback term passes through
Realize the combining to arrange of resistance and electric capacity, and the signal amplitude corresponding to constant term a to control end permissible
Realized by the adjustment of rheostat R9 or supply voltage Vcc.The chaos phase rail that circuit produces is showing
Display on ripple device is as shown in Figure 4.
Article 1 branch road include suing for peace integral arithmetic unit U1, negative absolute value realize unit U2, resistance R1,
Resistance R2, resistance R3, resistance R4, diode D1 and electric capacity C1, wherein, Article 1 branch road is asked
With the anti-phase input that the outfan of integral arithmetic unit U1 connects summation integral arithmetic unit U1 through resistance R1
End, Article 2 branch road output end signal connects the anti-phase input of summation integral arithmetic unit U1 through resistance R2
End, the in-phase input end ground connection of integration summation operation unit U1, summation integral arithmetic unit U1 anti-
Phase input is connected with one end of electric capacity C1, the other end of electric capacity C1 and summation integral arithmetic unit U1
Outfan connect negative absolute value through resistance R3 and realize the inverting input of unit U2, negative absolute value realizes
The in-phase input end ground connection of unit U2, negative absolute value realizes the output terminating diode D1's of unit U2
Negative pole, the positive pole of diode D1 connects the outfan of Article 1 branch road, and negative absolute value realizes unit U2's
Inverting input is connected with one end of resistance R4, and the other end of resistance R4 and negative absolute value realize
The outfan of the output termination Article 1 branch road of unit U2.
Article 2 branch road includes simulating gated circuit, summation integral arithmetic unit U3, anti-phase amplification list
Unit U4, resistance R5, resistance R6, resistance R7, resistance R8 and electric capacity C2, wherein, Article 4 is propped up
The outfan on road connects the inverting input of summation integral arithmetic unit U3, simulation gating through resistance R5
The outfan of gate circuit connects the inverting input of summation integral arithmetic unit U3, integration through resistance R6
The in-phase input end ground connection of summation operation unit U3, the inverting input of summation integral arithmetic unit U3
It is connected with one end of electric capacity C2, the other end of electric capacity C2 and the outfan of summation integral arithmetic unit U3
The inverting input of anti-phase amplifying unit U4 is connect, the homophase input of anti-phase amplifying unit U4 through resistance R7
End ground connection, the inverting input of anti-phase amplifying unit U4 is connected with one end of resistance R8, and resistance
The other end of R8 and the outfan of the output termination Article 2 branch road of anti-phase amplifying unit U4.
Article 3 branch road includes DC source Vcc, summation integral arithmetic unit U5, variable resistance or electricity
Position device R9, resistance R10 and electric capacity C3, wherein, the positive pole of DC source Vcc is through variable resistance
Or potentiometer R9 connects the inverting input of summation integral arithmetic unit U5, the negative pole of DC source Vcc
Ground connection, Article 1 branch road outfan connects the anti-phase input of summation integral arithmetic unit U5 through resistance R10
End, the in-phase input end ground connection of integration summation operation unit U5, summation integral arithmetic unit U5 anti-
Phase input is connected with one end of electric capacity C3, another termination summation integral arithmetic unit U5 of electric capacity C3
The outfan i.e. outfan of Article 3 branch road.
Article 4 branch road include sue for peace integral arithmetic unit U6, anti-phase amplifying unit U7, resistance R11,
Resistance R12, resistance R13 and electric capacity C4, wherein, the inversion signal of Article 2 branch output signal
The inverting input of summation integral arithmetic unit U6, integration summation operation unit U6 is met by resistance R11
In-phase input end ground connection, one end of inverting input and the electric capacity C4 of summation integral arithmetic unit U6
Being connected, the outfan of the other end of electric capacity C4 and summation integral arithmetic unit U6 connects instead through resistance R12
The inverting input of phase amplifying unit U7, the in-phase input end ground connection of anti-phase amplifying unit U7 is anti-phase
The inverting input of amplifying unit U7 is connected with one end of resistance R13, and the other end of resistance R13
Outfan with the output termination Article 4 branch road of anti-phase amplifying unit U7.
The function of shape such as z*sgn (x), is realized by simulation gated circuit.This circuit comprises two
Input, i.e. gate control signal end c and selected input signal end s；Output gating signal w, gating
Signal w obtains from selected input signal s.If gate control signal c is positive polarity, output be
Selected input signal s itself, i.e. w=s；If gate control signal c is negative polarity, output be
The inversion signal of selected input signal s, i.e. w=-s；If gate control signal c is zero, output
Be also zero-signal, i.e. w=0.The one of simulation gated circuit is by two fortune with reference to implementation method
Calculating amplifier Ua, Ub, two resistance Ra, Rb and a multiplier M realize.Simulation storbing gate electricity
The selected input signal s on road is directly connected with an input of its internal multiplier M, and its gating
Control signal c then links another input of internal multiplier M by two stage amplifer.Two-stage calculation
The in-phase input end ground connection of amplifier, the inverting input of an operational amplifier Ua connects gating and controls
Signal c, and its outfan is connected to one end of a resistance Ra, the other end of resistance Ra is attached directly to
The inverting input of another amplifier Ub, and it is attached directly to the defeated of amplifier Ub by another resistance Rb
Going out end, the outfan of multiplier M provides gating signal w of simulation gated circuit selected input signal s.
Amplitude control method, the realization that amplitude controls: the amplitude control exporting four dimension ultra-chaos signals can
By the size of described DC source supply voltage Vcc or the variable resistance being attached thereto or potentiometer
The regulation of R9 realizes.From equation (2), when vcc increases, four dimension ultra-chaos letters of output
Number amplitude increase the most in proportion, and when variable resistance or potentiometer R9 increase, output
The most non-linear reduction of amplitude of four dimension ultra-chaos signals, this can be by a → k a, x → kx, y
→ ky, z → kz, u → ku, t → t, the invariance of system expression formula (1) is proven.
The invention belongs to electronics, communication and information engineering class technology, relate to a kind of non-linear hyperchaos
The design of signal source, by two internal nonlinearity feedback branches, four inner linear feedback branches and
One external dc input, produces hyperchaos signal, and signal amplitude can pass through external dc input voltage
Size regulate and control.The hyperchaos signal generating circuit that the present invention realizes, dependable performance, can extensively answer
For fields such as signal detection, instrument and meter, radar and communications.
The above is only the preferred embodiment of the present invention, it should be pointed out that: for the art
For those of ordinary skill, under the premise without departing from the principles of the invention, it is also possible to make some improvement
And retouching, these improvements and modifications also should be regarded as protection scope of the present invention.
Claims (9)
1. a width-adjustable hyperchaos signal source, it is characterised in that: include four branch roads, wherein: the
One, two, three branch roads all include two inputs, and two inputs of Article 1 branch road connect respectively
Article one, the branch road summation outfan of integral arithmetic unit U1 and the outfan of Article 2 branch road；Article 2 is propped up
Two inputs on road connect outfan and the output of a simulation gated circuit of Article 4 branch road respectively
End, the input of described simulation gated circuit is Article 3 branch output signal, and its gating controls
Signal is from the outfan of Article 1 branch road summation integral arithmetic unit U1；One of Article 3 branch road defeated
Entering to terminate the positive polarity of DC source, the signal of another input of Article 3 branch road comes from first
The output signal of bar branch road；Article 4 branch road includes an input, connects the output letter of Article 2 branch road
Number inversion signal.
Width-adjustable hyperchaos signal source the most according to claim 1, it is characterised in that: described
Article one, branch road include suing for peace integral arithmetic unit U1, negative absolute value realize unit U2, resistance R1, R2,
R3 and R4, diode D1 and electric capacity C1, wherein, Article 1 branch road summation integral arithmetic unit U1
Outfan through resistance R1 connect summation integral arithmetic unit U1 inverting input, Article 2 branch road is defeated
Go out end signal and connect the inverting input of summation integral arithmetic unit U1 through resistance R2, integral operation of suing for peace
The inverting input of unit U1 is connected with one end of electric capacity C1, the other end of electric capacity C1 and summation integration
The outfan of arithmetic element U1 connects negative absolute value through resistance R3 and realizes the inverting input of unit U2, negative
Absolute value realizes the negative pole of the output terminating diode D1 of unit U2, and negative absolute value realizes unit U2's
Inverting input is connected with one end of resistance R4, and the other end of resistance R4 and diode D1 are just
Pole connects the outfan of Article 1 branch road.
Width-adjustable hyperchaos signal source the most according to claim 2, it is characterised in that: Article 2
Branch road includes simulating gated circuit, summation integral arithmetic unit U3, anti-phase amplifying unit U4, resistance
R5, R6, R7 and R8 and electric capacity C2, wherein, the outfan of Article 4 branch road connects through resistance R5
The inverting input of summation integral arithmetic unit U3, the outfan of simulation gated circuit is through resistance R6
Connect the inverting input of summation integral arithmetic unit U3, the anti-phase input of summation integral arithmetic unit U3
End is connected with one end of electric capacity C2, the other end of electric capacity C2 and the output of summation integral arithmetic unit U3
End connects the inverting input of anti-phase amplifying unit U4 through resistance R7, and anti-phase amplifying unit U4's is anti-phase defeated
Enter end to be connected with one end of resistance R8, and the other end of resistance R8 and anti-phase amplifying unit U4's is defeated
Go out to terminate the outfan of Article 2 branch road.
Width-adjustable hyperchaos signal source the most according to claim 3, it is characterised in that: described
Article three, branch road include DC source Vcc, summation integral arithmetic unit U5, variable resistance or potentiometer R9,
Resistance R10 and electric capacity C3, wherein, the positive pole of DC source Vcc is through variable resistance or potentiometer
R9 connects the inverting input of summation integral arithmetic unit U5, and Article 1 branch road outfan is through resistance R10
Connect the inverting input of summation integral arithmetic unit U5, the anti-phase input of summation integral arithmetic unit U5
End is connected with one end of electric capacity C3, the output of another termination summation integral arithmetic unit U5 of electric capacity C3
The end i.e. outfan of Article 3 branch road.
Width-adjustable hyperchaos signal source the most according to claim 4, it is characterised in that: described
Article four, branch road include sue for peace integral arithmetic unit U6, anti-phase amplifying unit U7, resistance R11, R12 and
R13 and electric capacity C4, wherein, the inversion signal of Article 2 branch output signal is connect by resistance R11
The inverting input of summation integral arithmetic unit U6, the inverting input of summation integral arithmetic unit U6
It is connected with one end of electric capacity C4, the other end of electric capacity C4 and the outfan of summation integral arithmetic unit U6
Connect the inverting input of anti-phase amplifying unit U7 through resistance R12, anti-phase amplifying unit U7's is anti-phase defeated
Enter end to be connected with one end of resistance R13, and the other end of resistance R13 and anti-phase amplifying unit U7
The outfan of output termination Article 4 branch road.
Width-adjustable hyperchaos signal source the most according to claim 3, it is characterised in that: described mould
Intend gated circuit include two operational amplifier Ua and Ub, two resistance Ra and Rb and one take advantage of
Musical instruments used in a Buddhist or Taoist mass M, the selected input signal s of simulation gated circuit is the most defeated with the one of its internal multiplier M
Entering end to be connected, its gate control signal c then links inside by two operational amplifiers Ua, Ub and takes advantage of
Another input of musical instruments used in a Buddhist or Taoist mass M；The inverting input of operational amplifier Ua connects gate control signal c,
The outfan of operational amplifier Ua is connected to one end of resistance Ra, and the other end of resistance Ra is attached directly to
The inverting input of operational amplifier Ub, and it is attached directly to operational amplifier by another resistance Rb
The outfan of Ub, it is right that the outfan of multiplier M provides simulation gated circuit selected input signal s institute
Gating signal w answered.
Width-adjustable hyperchaos signal source the most according to claim 4, it is characterised in that: described
Article three, the outfan of branch road is connected to simulate the signal end of gated circuit, it is provided that selected input signal,
And the outfan of Article 1 branch road summation integral arithmetic unit U1 is connected to simulate the control of gated circuit
End, it is provided that gate control signal.
Width-adjustable hyperchaos signal source the most according to claim 5, it is characterised in that: described long-pending
The equal ground connection of in-phase input end of summation operation unit U1, U3, U5 and U6, negative absolute value is divided to realize
The in-phase input end ground connection of unit U2, the equal ground connection of in-phase input end of anti-phase amplifying unit U4 and U7,
The minus earth of DC source Vcc.
Width-adjustable hyperchaos signal source the most according to claim 6, it is characterised in that: described mould
Intend the equal ground connection of in-phase input end of two operational amplifiers Ua, Ub of gated circuit.
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