Looking for breakthrough ideas for innovation challenges? Try Patsnap Eureka!

Communication non-liner closed loop frequency modulation chaotic system

A chaotic system, non-linear technology, applied in transmission systems, digital transmission systems, security communication devices, etc. Effect

Inactive Publication Date: 2013-07-10
王少夫
View PDF1 Cites 0 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

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

Method used

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more

Image

Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
  • Communication non-liner closed loop frequency modulation chaotic system
  • Communication non-liner closed loop frequency modulation chaotic system
  • Communication non-liner closed loop frequency modulation chaotic system

Examples

Experimental program
Comparison scheme
Effect test

Embodiment Construction

[0019] By constructing a one-dimensional communication nonlinear closed-loop FM chaotic system model with a square term, as shown in Figure 1, the nonlinear FM system in Figure 1 can be described by the following equation

[0020] (1)

[0021] in , a , b , c is the system parameter, Δ T >0 is the sampling interval, is the phase of the previous sampling point, is a positive integer.

[0022] In the process of frequency modulation, assuming that the phase of the frequency modulation signal is continuous, the phase at the n+1th moment for

[0023] (2)

[0024] The following one-dimensional discrete map can be obtained:

[0025] (3)

[0026] in, . make , Equation (3) can be changed to

[0027] (4)

[0028] hypothetical control parameters a =0.1, c =0.01, Δ T =5, one-dimensional discrete function mapping varies with parameters The bifurcation diagram...

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

PUM

No PUM Login to View More

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...

Claims

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

Application Information

Patent Timeline
no application Login to View More
Patent Type & Authority Applications(China)
IPC IPC(8): H04L9/00
Inventor 不公告发明人
Owner 王少夫
Who we serve
  • R&D Engineer
  • R&D Manager
  • IP Professional
Why Patsnap Eureka
  • Industry Leading Data Capabilities
  • Powerful AI technology
  • Patent DNA Extraction
Social media
Patsnap Eureka Blog
Learn More
PatSnap group products

Browse by: Latest US Patents, China's latest patents, Technical Efficacy Thesaurus, Application Domain, Technology Topic, Popular Technical Reports.

© 2024 PatSnap. All rights reserved.Legal|Privacy policy|Modern Slavery Act Transparency Statement|Sitemap|About US| Contact US: help@patsnap.com