Communication non-liner closed loop frequency modulation chaotic system

Abstract

The invention relates to a communication non-liner closed loop frequency modulation chaotic system. A mathematical model is built, and relations between frequency and phase are analyzed so as to acquire one-dimensional discretized mapping. Dynamics behaviors of the system are analyzed from the aspects of bifurcation diagrams, Lyapunov indexes and parameter space three-dimensional bifurcation, and abundant phenomena such as interruption in tangent bifurcation, interruption in period doubling bifurcation and multiple stable states are observed. Characteristics of state changes and bifurcation sequence of the system in double-parameter space are analyzed. Meanwhile, due to the fact that a voltage-controlled oscillator and signal transformation processes after sampling serve as a non-liner function of the system, and the problem that a non-liner part of the chaotic system is hard to achieve under high frequency broadband environment can be well avoid.

Description

technical field [0001] The invention relates to a one-dimensional communication non-linear closed-loop frequency modulation chaotic system with a square term, which belongs to the field of electronic communication. Background technique [0002] It is a very common phenomenon that bifurcation and chaotic state appear due to the instability of motion state of nonlinear dynamical system. Chaotic behavior is characterized by sensitivity to initial values, ergodicity, seemingly randomness, and has a very complex fractal and self-similar structure. During the gradual and in-depth study of chaotic behavior, the orderly phenomenon hidden behind the surface chaos of chaotic behavior is revealed, and it is found that chaotic behavior has many benefits for simulating many phenomena in nature. Especially in special fields such as information encryption, secure communication and chaotic radar, it has a wider application prospect. However, the current chaotic system faces some recognize...

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Problems solved by technology

However, the current chaotic system faces some recognized difficulties in engineering applications, one of which is that the nonlinear part of the chaotic system is difficult to accurately realize in a high-frequency broadband environment

[0003] At present, the research on chaotic FM signals is mainly based on discrete chaotic sequences. Discrete chaotic FM signals have a lower peak-to-average power ratio, which reduces the hardware requirements of the system and improves transmission efficiency and system performance. However, some important research results There are relatively strict mathematical prerequisites, and the discrete chaotic sequence FM signal cannot avoid frequency hopping due to the hopping of the discrete sequence value, making the signal frequency change discontinuous and the power spectrum not smooth

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