CN101447863A - Producing device and producing method of multi-scroll chaotic signals - Google Patents

Abstract

The invention provides a producing device of multi-scroll chaotic signals, which can produce multi-scroll chaotic signals without nonlinear circuit. The device comprises a chaotic producing equation storage module, a numerical solution module, a simulation converting module and a D/A converting module, wherein one or a plurality of differential equations are stored in the chaotic producing equation storage module; the numerical solution module is used for performing numerical solution on the differential equation capable of producing the multi-scroll chaotic signals; the simulation converting module is used for converting the numerical value obtained through the numerical solution module, so as to obtain simulation chaotic signals; and the simulation chaotic signals obtained by the simulation converting module are converted into electrical signals through the D/A converting module. The invention further discloses a method for producing the multi-scroll chaotic signal; the invention ensures that the solving of the differential equation capable of producing the multi-scroll chaotic signal though soft wares is achieved through software and the obtained value is finally converted into the electrical signal, and has the advantages of simple structure and easy implementation.

Description

Multi-scroll chaotic signals generation device and production method

Technical field

The present invention relates to communication technical field, be specifically related to a kind of generation device and production method of chaotic signal.

Background technology

After chaos phenomenon came into one's own, people had found chaotic signal gradually to features such as initial value sensitiveness, randomness and continuous wide band power spectrum, and these features make chaos in every field such as the coding of communicating by letter, safety purposes widely be arranged.Usually adopt nonlinear circuit to produce chaotic signal at present, but because the initial value sensitiveness and the sensitivity to parameter of chaos, so be difficult to choose the circuit parameter that can produce desired signal, and there is fluctuation unavoidably in circuit parameter, certainly will there be noise in circuit devcie, so just is difficult to obtain the chaotic signal of better performance.

As publication number is that the Chinese invention patent ublic specification of application of CN101183929 discloses a kind of chaos circuit and implementation method that produces many around coil of wire ripple, and for example publication number is also disclosed a kind of vortex chaos signal generator of Chinese invention patent ublic specification of application and the using method thereof of CN1747377A, though the apparatus and method of putting down in writing in these existing documents have been made side circuit, because initial value sensitivity and circuit parameter, so circuit debugging and complexity thereof, produce very difficulty of a plurality of systems scroll chaotic signals, actual application value is lower.

Summary of the invention

In view of this,, for this reason, the present invention proposes a kind of multi-scroll chaotic signals generation device, do not produce multi-scroll chaotic signals by nonlinear circuit in order to address the above problem.

The object of the present invention is achieved like this: the multi-scroll chaotic signals generation device comprises:

Chaos produces the equation memory module, wherein stores one or more differential equations that can produce multi-scroll chaotic signals;

The value of separating module is carried out numerical solution to the described differential equation that can produce multi-scroll chaotic signals;

The emulation modular converter is changed the numerical value that the described value of separating module is found the solution gained, obtains the emulation chaotic signal;

The D/A modular converter, the emulation chaotic signal that the emulation modular converter is obtained is converted to the signal of telecommunication.

Further, described multi-scroll chaotic signals generation device also comprises an input unit, be used for the differential equation that can produce multi-scroll chaotic signals is selected, and the input initial value;

Further, the described value of separating module invokes Matlab carries out numerical solution to the described differential equation that can produce multi-scroll chaotic signals;

Further, described emulation modular converter calls the numerical value that LabVIEW finds the solution gained to the described value of separating module and changes, and obtains the emulation chaotic signal;

Further, described multi-scroll chaotic signals generation device also comprises scrollwork quantity control module, comprise in the described scrollwork quantity control module and the described corresponding controllable non-linear function of the differential equation that can produce multi-scroll chaotic signals, by described controllable non-linear function breakover point quantity is controlled, thus control scrollwork quantity;

Further, the differential equation that can produce multi-scroll chaotic signals comprises:

How around ball of string equation: $\left\{\begin{array}{c}\stackrel{\·}{x}=-\mathrm{ax}+b(y+h(y,z)),\\ \stackrel{\·}{y}=-\mathrm{bx}+c(y+h(y,z)),\\ \stackrel{\·}{z}=-\mathrm{cz}-w-\mathrm{ch}(y,z)\\ \stackrel{\·}{w}=z-\mathrm{cw}+h(y,z),\end{array}\right.;$

The deformed cai's equation: $\left\{\begin{array}{c}\stackrel{\·}{x}=\mathrm{\α}(y-h\left(x\right)),\\ \stackrel{\·}{y}=x-y+z,\\ \stackrel{\·}{z}=-\mathrm{\β}(y-w)\\ \stackrel{\·}{w}=-{\mathrm{\γ}}_2(z+{\mathrm{\γ}}_1-w),\end{array}\right.;$

Folding anchor ring equation: $\left\{\begin{array}{c}\stackrel{\·}{x}=\mathrm{af}(x-y),\\ \stackrel{\·}{y}=f(x-y)-z,\\ \stackrel{\·}{z}=y,\end{array}\right.;$ With

The D translation transformation equation: $\left\{\begin{array}{c}\stackrel{\·}{x}=\mathrm{py},\\ \stackrel{\·}{y}=x-f(x+z)+\mathrm{qy},\\ \stackrel{\·}{z}=r[z-f(x+z)],\end{array}\right.;$

In one or more;

Further, with how to be around the corresponding controllable non-linear function of ball of string equation:

$h(y,z)=\frac{1}{2}\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{m}_i(|y+z+g_i|-|y+z-g_i|)$

m＝(-1) ⁿ[2，-2，2，-2....-2，2，-0.5]；

g＝[1，3，5....2n-5，2n-3，2n-1]

Wherein: the size of m control scrollwork, the number of g control scrollwork;

The controllable non-linear function corresponding with the deformed cai's equation is:

$h\left(x\right)=\mathrm{\λ}(\mathrm{kx}-\underset{i=-n}{\overset{n}{\mathrm{\Σ}}}\mathrm{sgn}(\mathrm{kx}+2i)),;$

Wherein: the size of λ control scrollwork, the number of K control scrollwork;

The controllable non-linear function corresponding with folding anchor ring equation is:

u＝x-y

$f\left(u\right)=\mathrm{\λ}(u-\underset{i=1}{\overset{n}{\mathrm{\Σ}}}\mathrm{sgn}(u+(2i-1))+\mathrm{sgn}(u-(2i-1)))),;$

Wherein: the size of λ control scrollwork, the number of i control scrollwork;

The controllable non-linear function corresponding with the D translation transformation equation is:

u＝x+z

$f\left(u\right)=\frac{1}{2}\underset{k=1}{\overset{N}{\mathrm{\Σ}}}\{\mathrm{sgn}[u+(2k-1)]+\mathrm{sgn}[u-(2k-1)]\};$

Wherein: the number of K control scrollwork;

The present invention also provides a kind of multi-scroll chaotic signals production method, comprises the steps:

The differential equation that can produce multi-scroll chaotic signals is carried out numerical solution;

The numerical value of finding the solution gained is changed, obtained the emulation chaotic signal;

The emulation chaotic signal that obtains is converted to the signal of telecommunication.

Further, comprise that also the breakover point quantity by the controllable non-linear function corresponding with the described differential equation that can produce multi-scroll chaotic signals controls, thus the step of control scrollwork quantity;

Further, the step that also comprises input system initial value and scrollwork quantity.

Now for prior art, device and method of the present invention has following advantage: the present invention realizes producing the finding the solution of the differential equation of multi-scroll chaotic signals by software, and the value that will find the solution gained finally is converted to the signal of telecommunication, and is simple in structure, is easy to realize; In further technical scheme: can select the multiple differential equation that can produce multi-scroll chaotic signals, can produce multiple multi-scroll chaotic signals; Can import initial value, the initial value sensitiveness of reflection chaotic signal embodies the chaotic signal kinetic character; By the structure controllable non-linear function corresponding, realize producing the control of control chaotic signal scrollwork quantity with the differential equation that can produce multi-scroll chaotic signals.

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 structural representation of multi-scroll chaotic signals generation device of the present invention.

Embodiment

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

Referring to Fig. 1, the multi-scroll chaotic signals generation device comprises:

Chaos produces the equation memory module, wherein stores one or more differential equations that can produce multi-scroll chaotic signals;

Input unit is selected the differential equation that can produce multi-scroll chaotic signals, and the scrollwork quantity of input differential equation initial value and the chaotic signal that needs to produce;

The value of separating module is called Matlab, and the selected differential equation that can produce multi-scroll chaotic signals is carried out numerical solution;

The emulation modular converter calls the numerical value that LabVIEW finds the solution gained to the described linear switching systems value of separating module and changes, and obtains the emulation chaotic signal;

The D/A modular converter, the emulation chaotic signal that the emulation modular converter is obtained is converted to the signal of telecommunication, and described D/A modular converter can adopt the data collecting card with D/A analog output channel, as the NI USB-6251 data collecting card of NI company production.

The multi-scroll chaotic signals generation device also comprises scrollwork quantity control module, comprise in the described scrollwork quantity control module and the described corresponding controllable non-linear function of the differential equation that can produce multi-scroll chaotic signals, by described controllable non-linear function breakover point quantity is controlled, thus control scrollwork quantity.

The described differential equation that can produce multi-scroll chaotic signals comprises:

How around ball of string equation: $\left\{\begin{array}{c}\stackrel{\·}{x}=-\mathrm{ax}+b(y+h(y,z)),\\ \stackrel{\·}{y}=-\mathrm{bx}+c(y+h(y,z)),\\ \stackrel{\·}{z}=-\mathrm{cz}-w-\mathrm{ch}(y,z)\\ \stackrel{\·}{w}=z-\mathrm{cw}+h(y,z),\end{array}\right.;$

Best, α=0.04 wherein, b=2, c=0.16;

The deformed cai's equation: $\left\{\begin{array}{c}\stackrel{\·}{x}=\mathrm{\α}(y-h\left(x\right)),\\ \stackrel{\·}{y}=x-y+z,\\ \stackrel{\·}{z}=-\mathrm{\β}(y-w)\\ \stackrel{\·}{w}=-{\mathrm{\γ}}_2(z+{\mathrm{\γ}}_1-w),\end{array}\right.;$

Best, α=12 wherein, β=15, γ ₁=16, γ ₂=0.05;

Folding anchor ring equation: $\left\{\begin{array}{c}\stackrel{\·}{x}=\mathrm{af}(x-y),\\ \stackrel{\·}{y}=f(x-y)-z,\\ \stackrel{\·}{z}=y,\end{array}\right.;$

Best, a=14 wherein, b=20, λ=-0.25, n=1; With

The D translation transformation equation: $\left\{\begin{array}{c}\stackrel{\·}{x}=\mathrm{py},\\ \stackrel{\·}{y}=x-f(x+z)+\mathrm{qy},\\ \stackrel{\·}{z}=r[z-f(x+z)],\end{array}\right.;$

Best, p=-4 wherein, q=0.2, r=-5;

Described with how to be around the corresponding controllable non-linear function of ball of string equation:

$h(y,z)=\frac{1}{2}\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{m}_i(|y+z+g_i|-|y+z-g_i|)$

m＝(-1) ⁿ[2，-2，2，-2....-2，2，-0.5]；

g＝[1，3，5....2n-5，2n-3，2n-1]

Wherein: the size of m control scrollwork, the number of g control scrollwork

The described controllable non-linear function corresponding with the deformed cai's equation is:

$h\left(x\right)=\mathrm{\λ}(\mathrm{kx}-\underset{i=-n}{\overset{n}{\mathrm{\Σ}}}\mathrm{sgn}(\mathrm{kx}+2i)),;$

Wherein: the size of λ control scrollwork, the number of K control scrollwork

The controllable non-linear function that described and folding anchor ring equation is corresponding is:

u＝x-y

$f\left(u\right)=\mathrm{\λ}(u-\underset{i=1}{\overset{n}{\mathrm{\Σ}}}\mathrm{sgn}(u+(2i-1))+\mathrm{sgn}(u-(2i-1)))),;$

Wherein: the size of λ control scrollwork, the number of i control scrollwork

The described controllable non-linear function corresponding with the D translation transformation equation is:

u＝x+z

$f\left(u\right)=\frac{1}{2}\underset{k=1}{\overset{N}{\mathrm{\Σ}}}\{\mathrm{sgn}[u+(2k-1)]+\mathrm{sgn}[u-(2k-1)]\};$

Wherein: the number of K control scrollwork

The multi-scroll chaotic signals production method of present embodiment comprises the steps:

1) user selects to produce the differential equation of multi-scroll chaotic signals, imports the scrollwork quantity of initial value with the chaotic signal that needs to produce of the described differential equation;

The user selects to produce the differential equation of multi-scroll chaotic signals, imports the initial condition value of the described differential equation and the breakover point quantity of the pairing controllable non-linear function of scrollwork quantity that needs the generation chaotic signal;

2) call the ODE45 algorithm of MATLAB, the selected differential equation that can produce multi-scroll chaotic signals is carried out numerical solution; Affiliated technical staff should be appreciated that and also can adopt additive method that the differential equation that can produce multi-scroll chaotic signals is carried out numerical solution herein;

3) by LABVIEW to step 2) numerical value of finding the solution gained changes, obtain the emulation chaotic signal, particularly: by step 2) numerical value of finding the solution gained is determined and the zone of the controllable non-linear function that the described differential equation that can produce multi-scroll chaotic signals is corresponding, be converted to the emulation chaotic signal, and control, thereby control scrollwork quantity by breakover point quantity to described controllable non-linear function; Affiliated technical staff should be appreciated that and also can adopt additive method that the numerical value of finding the solution gained is changed herein, obtains the emulation chaotic signal.

4) the emulation chaotic signal that obtains is converted to the signal of telecommunication.

Is example with how around ball of string equation:

$\left\{\begin{array}{c}\stackrel{\·}{x}=-\mathrm{ax}+b(y+h(y,z)),\\ \stackrel{\·}{y}=-\mathrm{bx}+c(y+h(y,z)),\\ \stackrel{\·}{z}=-\mathrm{cz}-w-\mathrm{ch}(y,z)\\ \stackrel{\·}{w}=z-\mathrm{cw}+h(y,z),\end{array}\right.$

It is many around ball of string equation group to select module to select at LABVIEW front panel function, import the calculating initial value of the number and the differential equation group of required generation scrollwork again, by the ODE45 algorithm that calls MATLAB the differential equation is found the solution, the Xie Ze of each equation represents the position of this time series in respective planes; The output node of MATLAB in the LABVIEW rear board, output is many around ball of string solution of equations value respectively.LABVIEW generates the emulation chaotic signal to the area arrangement of the every group of value of separating at its corresponding controllable non-linear function.

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 (10)

1. the multi-scroll chaotic signals generation device is characterized in that: comprise

Chaos produces the equation memory module, wherein stores one or more differential equations that can produce multi-scroll chaotic signals;

The value of separating module is carried out numerical solution to the described differential equation that can produce multi-scroll chaotic signals;

The emulation modular converter is changed the numerical value that the described value of separating module is found the solution gained, obtains the emulation chaotic signal;

The D/A modular converter, the emulation chaotic signal that the emulation modular converter is obtained is converted to the signal of telecommunication.

2. multi-scroll chaotic signals generation device as claimed in claim 1, it is characterized in that: described multi-scroll chaotic signals generation device also comprises an input unit, be used for the differential equation that can produce multi-scroll chaotic signals is selected, and the calculating initial value of each variable of the input differential equation.

3. multi-scroll chaotic signals generation device as claimed in claim 1 is characterized in that: the described value of separating module invokes Matlab carries out numerical solution to the described differential equation that can produce multi-scroll chaotic signals.

4. multi-scroll chaotic signals generation device as claimed in claim 1 is characterized in that: described emulation modular converter calls the numerical value that LabVIEW finds the solution gained to the described linear switching systems value of separating module and changes, and obtains the emulation chaotic signal.

5. multi-scroll chaotic signals generation device as claimed in claim 1, it is characterized in that: described multi-scroll chaotic signals generation device also comprises scrollwork quantity control module, comprise in the described scrollwork quantity control module and the described corresponding controllable non-linear function of the differential equation that can produce multi-scroll chaotic signals, by described controllable non-linear function breakover point quantity is controlled, thus control scrollwork quantity.

6. as each described multi-scroll chaotic signals generation device in the claim 1 to 5, it is characterized in that: the differential equation that can produce multi-scroll chaotic signals comprises:

How around ball of string equation: $\left\{\begin{array}{c}\stackrel{.}{x}=-\mathrm{ax}+b(y+h(y,z)),\\ \stackrel{.}{y}=-\mathrm{bx}+c(y+h(y,z)),\\ \stackrel{.}{z}=-\mathrm{cz}-w-\mathrm{ch}(y,z)\\ \stackrel{.}{w}=z-\mathrm{cw}+h(y,z),\end{array}\right.;$

The deformed cai's equation: $\left\{\begin{array}{c}\stackrel{.}{x}=\mathrm{\α}(y-h\left(x\right)),\\ \stackrel{.}{y}=x-y+z,\\ \stackrel{.}{z}=-\mathrm{\β}(y-w)\\ \stackrel{.}{w}=-{\mathrm{\γ}}_2(z+{\mathrm{\γ}}_1-w),\end{array}\right.;$

Folding anchor ring equation: $\left\{\begin{array}{c}\stackrel{.}{x}=\mathrm{af}(x-y),\\ \stackrel{.}{y}=f(x-y)-z,\\ \stackrel{.}{z}=y,\end{array}\right.;$ With

The D translation transformation equation: $\left\{\begin{array}{c}\stackrel{.}{x}=\mathrm{py},\\ \stackrel{.}{y}=x-f(x+z)+\mathrm{qy},\\ \stackrel{.}{z}=r[z-f(x+z)],\end{array}\right.;$

In one or more.

7. multi-scroll chaotic signals generation device as claimed in claim 6 is characterized in that: with how to be around the corresponding controllable non-linear function of ball of string equation:

$h(y,z)=\frac{1}{2}\underset{i=1}{\overset{n}{\mathrm{\Σ}}}{m}_i(|y+z+g_i|-|y+z-g_i|)$

m＝(-1) ⁿ[2，-2，2，-2......-2，2，-0.5]；

g＝[1，3，5.....2n-5，2n-3，2n-1]

Wherein: the size of m control scrollwork, the number of g control scrollwork

The controllable non-linear function corresponding with the deformed cai's equation is:

$h\left(x\right)=\mathrm{\λ}(\mathrm{kx}-\underset{i=-n}{\overset{n}{\mathrm{\Σ}}}\mathrm{sgn}(\mathrm{kx}+2i));$

Wherein: the size of λ control scrollwork, the number of K control scrollwork

The controllable non-linear function corresponding with folding anchor ring equation is:

u＝x-y

$f\left(u\right)=\mathrm{\λ}(u-\underset{i=1}{\overset{n}{\mathrm{\Σ}}}\mathrm{sgn}(u+(2i-1))+\mathrm{sgn}(u-(2i-1)));$

Wherein: the size of λ control scrollwork, the number of i control scrollwork;

The controllable non-linear function corresponding with the D translation transformation equation is:

u＝x+z

$f\left(u\right)=\frac{1}{2}\underset{k=1}{\overset{N}{\mathrm{\Σ}}}\{\mathrm{sgn}[u+(2k-1)]+\mathrm{sgn}[u-(2k-1)]\};$

Wherein: the number of K control scrollwork.

8. the multi-scroll chaotic signals production method is characterized in that comprising the steps:

The differential equation that can produce multi-scroll chaotic signals is carried out numerical solution;

The numerical value of finding the solution gained is changed, obtained the emulation chaotic signal;

The emulation chaotic signal that obtains is converted to the signal of telecommunication.

9. multi-scroll chaotic signals production method as claimed in claim 8, it is characterized in that: comprise that also the breakover point quantity by the controllable non-linear function corresponding with the described differential equation that can produce multi-scroll chaotic signals controls, thus the step of control scrollwork quantity.

10. multi-scroll chaotic signals production method as claimed in claim 9 is characterized in that: the step that also comprises input system initial value and scrollwork quantity.

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