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Chaotic signal source with adjustable dynamic amplitude linearity

A chaotic signal and amplitude technology, which is applied in the field of chaotic signal sources, can solve the problems of linear change in the dynamic range of the output chaotic signal and the inability to realize linear adjustment of the dynamic amplitude, and achieve good consistency

Active Publication Date: 2011-09-28
NANTONG AORUN BUILDING MATERIAL TECH +1
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Problems solved by technology

Generally, the dynamics of these chaotic systems will change when the system parameters are adjusted. Even if the dynamics of the system does not change much when the parameters are adjusted locally, it is difficult to ensure that the dynamic range of the output chaotic signal shows a linear change.
[0004] The disadvantage of the chaotic system in the prior art is that it is impossible to realize a chaotic signal source whose dynamic amplitude is linearly adjustable and the system has constant dynamic characteristics

Method used

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  • Chaotic signal source with adjustable dynamic amplitude linearity
  • Chaotic signal source with adjustable dynamic amplitude linearity
  • Chaotic signal source with adjustable dynamic amplitude linearity

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Embodiment Construction

[0032] See Figure 1-8 , the mathematical model of a dynamic amplitude linearly adjustable chaotic signal source in this embodiment can be described as:

[0033] (2)

[0034] where a, b and c are all real numbers. make , formula (2) can be rewritten as follows:

[0035] (3)

[0036] make , there are two equilibrium points in formula (3): S1:(-c / b,0,0), S2:(c / b,0,0). At the equilibrium point S*=(x*, y*, z*), the equation (3) is linearized, and the Jacobian matrix is ​​obtained as:

[0037] (4)

[0038] From formula (4), the characteristic root equation of system (3) can be obtained as:

[0039] (5)

[0040] For the equilibrium point S 1 :(c / b,0,0), its characteristic root equation can be simplified as , according to the Routh-Horwitz criterion, when a, b>0, and a1 is unstable. When a=0.4, b=0.81, c=4, find S 1 : The characteristic root of (-4.9383,0,0) is

[0041]

[0042]...

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Abstract

The invention relates to a chaotic signal source with adjustable dynamic amplitude linearity and a system with identical dynamic characteristics, comprising an inverse proportion circuit, a first integrating circuit, a second integrating circuit and a third integrating circuit, wherein the output ends of a third operational amplifier, a second operational amplifier and a first operational amplifier sequentially output three state variables (x, y, z) of the chaotic signal source; when the chaotic signal source works, the dynamic amplitudes of the three state variables (x, y, z) are linearly adjusted by adjusting the output voltage of a DC power supply, and the three state variables (x, y, z) are enabled to have the identical dynamic characteristics. Because the chaotic signal source has adjustable amplitude and frequency spectrums of different frequency ranges and the like under the precondition without changing the dynamic characteristics of an output signal, the chaotic signal sourceis indicated to have extensive application prospect and important application value in the high technology fields of chaotic radars, secret communication, electronic countermeasure, and the like.

Description

technical field [0001] The invention relates to a chaotic signal source whose dynamic amplitude is linearly adjustable and whose system has constant dynamic characteristics. Background technique [0002] Ordinary signal sources can generate periodic signals with different waveforms, and have been widely used in the field of information engineering. The characteristic of periodic signal is that it is convenient for the synchronization of modulation and demodulation, but it is not conducive to the requirements of special fields such as information encryption. Chaotic signals have the characteristics of inherent randomness, initial value sensitivity, broadband, ergodicity, and boundedness, and can generate broadband signals similar to white noise. Therefore, chaotic signals have a wide range of applications in the fields of information encryption, secure communication, and chaotic radar. prospect. The chaotic signal source is an important part of the modulation and demodulati...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H03B28/00
Inventor 乔晓华包伯成孙玉霞
Owner NANTONG AORUN BUILDING MATERIAL TECH
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