CN101510862A - Method and system for generating ultra-chaos signal - Google Patents

Abstract

The invention relates to the technical field of secure communication, in particular to a hyper-chaotic signal generating method and a generating system thereof, wherein the hyper-chaotic signal generating method comprises the following steps: a sinusoidal signal is input to a non-linear circuit which can generate the hyper-chaotic signal, thereby changing the state equation parameter of the non-linear circuit which can generate the hyper-chaotic signal and causing at least two lyapunov indexes of a chaotic system to be larger than 0; the hyper-chaotic signal generating system comprises the non-linear circuit which can generate the hyper-chaotic signal and also comprises a sinusoidal signal generating device connected with a signal input end of the non-linear circuit which can generate the hyper-chaotic signal, and sinusoidal signal generating device outputs the sinusoidal signal to the non-linear circuit which can generate the hyper-chaotic signal, thereby changing the state equation parameter of the non-linear circuit which can generate the hyper-chaotic signal and causing the at least two lyapunov indexes of the chaotic system to be larger than 0.

Description

Hyperchaos signal generating method and hyperchaos signal generating system

Technical field

The present invention relates to the private communication technology field, be specifically related to a kind of method for generation and generation systems of hyperchaos signal.

Background technology

Since (Lorentz) found first chaotic model, chaotic dynamics was obtained significant development in non-linear research field from Lorenz in 1963.

Why chaos can be used for the digital information encryption is because chaotic motion has following characteristics: 1) movement locus is extremely responsive to initial value, and is unpredictable at 2 approaching arbitrarily tracks that set out; 2) chaotic motion not only aperiodic but also do not restrain, the point on the movement locus travels through whole zone; 3) movement locus continuous telescopic folding in finite region makes the phenomenon of system's output class like random noise.But for common chaos system, hyperchaotic system has two and above positive Lyapunov (Liapunov) index, and its character is more complicated, so the hyperchaos signal has application prospect widely as the chaos encryption signal.

Thereby but now all be to put on continuous chaotic system acquisition hyperchaos by adding a state feedback controller that contains potentiometer, so not only make Circuits System more complicated, and regulator potentiometer is easy to toning or less stress, makes actual resistance that obtains and desirable resistance have certain error.

A kind of production method of digital chaos is provided for the Chinese invention patent Shen Qing Publication specification of CN25433620Y as publication number, it is to produce chaotic signal by the initial value of set-up and calculated and equation, but can not produce the hyperchaos signal, can not change output signal at any time.And publication number provides a kind of production method of hyperchaos for the Chinese invention patent Shen Qing Publication specification of CN101145901A, but it can only produce hyperchaos at fixing hyperchaos mapping equation, and have only by setting different initial values and change hyperchaos output, can not play the purpose of control hyperchaotic system.

Summary of the invention

In view of this, in order to address the above problem, the invention provides a kind of hyperchaos signal generating method that need not add new state variable.

The object of the present invention is achieved like this, the hyperchaos signal generating method, comprise the steps: to import sinusoidal signal to the nonlinear circuit that can produce chaotic signal, thereby change the described state equation parameter that can produce the nonlinear circuit of chaotic signal, make the lyapunov index of chaos system have 2 at least greater than 0.

Further, described sinusoidal signal is produced by monolithic sinusoidal signal generation chip or RC oscillating circuit;

Further, described sinusoidal signal can produce the nonlinear circuit of chaotic signal by potentiometer or multiplier input.

The present invention also provides a kind of hyperchaos signal generating system, comprise the nonlinear circuit that can produce chaotic signal, described hyperchaos signal generating system also comprises sinusoidal signal generator, described sinusoidal signal generator is connected with the described signal input part that can produce the nonlinear circuit of chaotic signal, described sinusoidal signal generator output sinusoidal signal is to the described nonlinear circuit that can produce chaotic signal, thereby change the described state equation parameter that can produce the nonlinear circuit of chaotic signal, make the lyapunov index of chaos system have 2 at least greater than 0.

Further, described sinusoidal signal generator is monolithic sinusoidal signal generation chip or RC oscillating circuit;

Further, described sinusoidal signal generator is connected with the signal input part of the nonlinear circuit that can produce chaotic signal by potentiometer or multiplier;

Further, the described nonlinear circuit that can produce chaotic signal is provided with module, integration module, feedback module, supply module and output module by parameter and constitutes; Described parameter is provided with the parameter that module is used to be provided with Circuits System; Described integration module is provided with the module output signal of telecommunication to parameter and carries out integral processing; Described feedback module feeds back to the input that parameter is provided with module with the signal of telecommunication of integration module output; Parameter is provided with module to supply module and integration module is powered; Described output module is as the output of system.

Hyperchaos signal generating method of the present invention and hyperchaos signal generating system, arrive nonlinear circuit by the input sinusoidal signal, change the state equation parameter of nonlinear circuit, thereby change the Jacobian matrix of Circuits System state equation, make the Lyapunov index of system equation have two greater than 0, thereby make Circuits System reach the hyperchaotic system state, owing to need not add a new state variable, thereby implement more simple, do not increase the complexity of original system yet, middle compared to existing technology regulator potentiometer obtains desirable parameter easilier; In addition, by regulating the sinusoidal signal frequency of input, hyperchaos signal generating system of the present invention can be easily at chaos and hyperchaos state, and changes between different hyperchaos state.

Other advantages of the present invention, target, to set forth in the following description to a certain extent with feature, and to a certain extent,, perhaps can obtain instruction from the practice of the present invention based on being conspicuous to those skilled in the art to investigating hereinafter.Target of the present invention and other advantages can be passed through following specification, claims, and the specifically noted structure realizes and obtains in the accompanying drawing.

Description of drawings

In order to make the purpose, technical solutions and advantages of the present invention clearer, the present invention is described in further detail below in conjunction with accompanying drawing:

Fig. 1 shows the high-level schematic functional block diagram of hyperchaos signal generating system of the present invention;

Fig. 2 shows embodiment 1 and adds sinusoidal signal generator nonlinear circuit schematic diagram before;

Fig. 3 shows embodiment 1 and adds sinusoidal signal generator nonlinear circuit schematic diagram before;

Fig. 4 shows the Lyapunov exponential spectrum of the hyperchaotic system of embodiment 1;

Fig. 5 shows the Lyapunov exponential spectrum of the hyperchaotic system of embodiment 2;

Fig. 6 shows the Lyapunov exponential spectrum of the hyperchaotic system of embodiment 3.

Embodiment

Below with reference to accompanying drawing, the preferred embodiments of the present invention are described in detail.

Embodiment 1

The nonlinear circuit that can produce chaotic signal of present embodiment as shown in Figure 2, its system equation is:

$\left\{\begin{array}{c}\stackrel{.}{x}=y-x\\ \stackrel{.}{y}=5x-2\mathrm{xz}\\ \stackrel{.}{z}=0.08x^2-0.4z\end{array}\right.$

The Lyapunov index of this system is: LE1=2.7234, LE2=-0.0622, LE3=-16.6613.

As Fig. 2, shown in Figure 3, the described nonlinear circuit that can produce chaotic signal, by operational amplifier, multiplier, resistance, electric capacity constitutes, operational amplifier LM1 wherein, LM4, LM7 and comprise multiplier and the peripheral circuit of resistance constitutes parameter jointly module is set, operational amplifier LM2, LM5, LM8 and comprise electric capacity and the peripheral circuit of resistance constitutes integration module jointly, operational amplifier LM3, LM6, LM9 and comprise electric capacity and the peripheral circuit of resistance constitutes feedback module jointly, its excess-three operational amplifier then constitutes output module, and described parameter is provided with the parameter that module is used to be provided with Circuits System; Described integration module is provided with the module output signal of telecommunication to parameter and carries out integral processing; Described feedback module feeds back to the input that parameter is provided with module with the signal of telecommunication of integration module output, and the input of described output module is connected with the output of feedback module, prevents output U ₁, U ₂, U ₃The peripheral circuit that is connected impacts feedback module.Wherein operational amplifier can be selected LM741 for use, multiplier can be selected AD633JN for use, sinusoidal signal generator is connected in the non-linear circuit input end of the 3rd circuit equation of this circuit, the centre adds a potentiometer, then constitute a new addition term, this coefficient is determined jointly by the amplitude and the potentiometer of input signal.

Then the original system equation becomes:

$\left\{\begin{array}{c}\stackrel{.}{x}=y-x\\ \stackrel{.}{y}=5x-2\mathrm{xz}\\ \stackrel{.}{z}=0.08x^2-0.4z-a\sin \left(\mathrm{\ωt}\right)\end{array}\right.$

Choose the coefficient that a=1100 is a SIN function.

Calculate for convenient, system equation be rewritten into a four-dimensional autonomous system:

$\left\{\begin{array}{c}\stackrel{.}{x}=y-x\\ \stackrel{.}{y}=5x-2\mathrm{xz}\\ \stackrel{.}{z}=0.08x^2-0.4z-1100\sin \left(v\right)\\ \stackrel{.}{v}=w\end{array}\right.$

Wherein ω is the angular frequency of input signal, and the frequency of it and input signal satisfies ω=2 π f.Referring to Fig. 4, the Lyapunov exponential spectrum of chaos system changes the frequency of control signal as can be seen, and the dynamic characteristic of system can change.

When the input angle frequency of control signal is in ω=4.7,5.8,9.2 and 9.8 just the frequency of input signal at 748Hz, 923Hz, when 1.464KHz and 1.599KHz, this moment, the Lyapunov index of system had two greater than 0; The signal that this moment, present embodiment produced is the hyperchaos signal.

Embodiment 2

The nonlinear circuit that can produce chaotic signal of present embodiment, its system equation is:

$\left\{\begin{array}{c}\stackrel{.}{x}=y-x\\ \stackrel{.}{y}=5x-\mathrm{xy}\\ \stackrel{.}{z}=4x^2-0.4z\end{array}\right.$

The Lyapunov index of this system is: LE1=2.7234, LE2=-0.0622, LE3=-16.6613

Sinusoidal signal generator is connected in the non-linear circuit input end of second circuit equation of this circuit, insert nonlinear circuit by a multiplier, sinusoidal signal is imported non-linear circuit input end with signal input y, constitute a new multiplication item, this coefficient is determined jointly by the amplitude and the potentiometer of input signal.

Then the original system equation becomes:

$\left\{\begin{array}{c}\stackrel{.}{x}=y-x\\ \stackrel{.}{y}=5x-\mathrm{xz}+0.5\sin \left(v\right)y\\ \stackrel{.}{z}=4x^2-0.4z\\ \stackrel{.}{v}=\mathrm{\ω}\end{array}\right.$

Referring to Fig. 5, the Lyapunov exponential spectrum of chaos system as can be seen, when the incoming frequency of control signal is ω=0.5,1.2,1.4,1.7,2.1,2.2,2.7～3,3.4～4.1,4.3,4.5～4.7,5.2,5.9,6.3,6.6.6.7,6.9,7.2,7.5～7.8,8,8.3 9.2 and 9.8～10 o'clock, this moment, the Lyapunov index of system had two greater than 0; The signal that this moment, present embodiment produced is the hyperchaos signal.

Embodiment 3

The nonlinear circuit that can produce chaotic signal of present embodiment, its system equation is:

$\left\{\begin{array}{c}\stackrel{.}{x}=2(y-x)\\ \stackrel{.}{y}=7x-\mathrm{xz}+0.2w\\ \stackrel{.}{z}=4x^2-0.2z\\ \stackrel{.}{w}=-3x\end{array}\right.$

The Lyapunov index of this system is: LE1=0.1827, LE2=0.0756, LE3=0.0756, LE4=-2.3920.

Sinusoidal signal generator is connected in the non-linear circuit input end of the 4th circuit equation of this circuit, insert nonlinear circuit by a multiplier, sinusoidal signal is imported the nonlinear circuit input with signal input x, constitute a new multiplication item, this coefficient is determined jointly by the amplitude and the potentiometer of input signal.

Then the original system equation becomes:

$\left\{\begin{array}{c}\stackrel{.}{x}=2(y-x)\\ \stackrel{.}{y}=7x-\mathrm{xz}+0.2w\\ \stackrel{.}{z}=4x^2-0.2z\\ \stackrel{.}{w}=-3\sin \left(v\right)x\\ \stackrel{.}{v}=\mathrm{\ω}\end{array}\right.$

Referring to Fig. 6, the Lyapunov exponential spectrum of chaos system as can be seen, when the incoming frequency of control signal is during in ω=4.2～4.7 and 5.2～10, this moment, the Lyapunov index of system had two greater than 0; The signal that this moment, present embodiment produced is the hyperchaos signal.

In the foregoing description, can produce the particular circuit configurations of the nonlinear circuit of chaotic signal, by parameter module, integration module, feedback module, supply module and output module are set usually and constitute; Described parameter is provided with the parameter that module is used to be provided with Circuits System; Described integration module is provided with the module output signal of telecommunication to parameter and carries out integral processing; Described feedback module feeds back to the input that parameter is provided with module with the signal of telecommunication of integration module output; Parameter is provided with module to supply module and integration module is powered; Described output module is as the output of system; Those skilled in the art all can be known according to circuit equation, not repeat them here; Sinusoidal signal generator can be selected RC oscillating circuit or existing monolithic sinusoidal signal generation chip for use; Incoming frequency that sinusoidal signal is passed through and access way can obtain by computing or emulation.

The above is the preferred embodiments of the present invention only, is not limited to the present invention, and obviously, those skilled in the art can carry out various changes and modification and not break away from the spirit and scope of the present invention the present invention.Like this, if of the present invention these are revised and modification belongs within the scope of claim of the present invention and equivalent technologies thereof, then the present invention also is intended to comprise these changes and modification interior.

Claims (7)

1. hyperchaos signal generating method, it is characterized in that, comprise the steps: to import sinusoidal signal to the nonlinear circuit that can produce chaotic signal, thereby change the described state equation parameter that can produce the nonlinear circuit of chaotic signal, make the lyapunov index of chaos system have 2 at least greater than 0.

2. hyperchaos signal generating method as claimed in claim 1 is characterized in that: described sinusoidal signal is produced by monolithic sinusoidal signal generation chip or RC oscillating circuit.

3. hyperchaos signal generating method as claimed in claim 1 or 2 is characterized in that: described sinusoidal signal can produce the nonlinear circuit of chaotic signal by potentiometer or multiplier input.

4. hyperchaos signal generating system, comprise the nonlinear circuit that can produce chaotic signal, it is characterized in that: described hyperchaos signal generating system also comprises sinusoidal signal generator, described sinusoidal signal generator is connected with the described signal input part that can produce the nonlinear circuit of chaotic signal, described sinusoidal signal generator output sinusoidal signal is to the described nonlinear circuit that can produce chaotic signal, thereby change the described state equation parameter that can produce the nonlinear circuit of chaotic signal, make the lyapunov index of chaos system have 2 at least greater than 0.

5. hyperchaos signal generating system as claimed in claim 4 is characterized in that: described sinusoidal signal generator is monolithic sinusoidal signal generation chip or RC oscillating circuit.

6. as claim 4 or 5 described hyperchaos signal generating systems, it is characterized in that: described sinusoidal signal generator is connected with the signal input part of the nonlinear circuit that can produce chaotic signal by potentiometer or multiplier.

7. hyperchaos signal generating system as claimed in claim 4 is characterized in that: the described nonlinear circuit that can produce chaotic signal is provided with module, integration module, feedback module, supply module and output module by parameter and constitutes; Described parameter is provided with the parameter that module is used to be provided with Circuits System; Described integration module is provided with the module output signal of telecommunication to parameter and carries out integral processing; Described feedback module feeds back to the input that parameter is provided with module with the signal of telecommunication of integration module output; Parameter is provided with module to supply module and integration module is powered; Described output module is as the output of system.

Images