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Method and system for realizing multi-state-variable spatial-temporal chaotic complex pseudo-random code generator

A state variable and pseudo-random code technology, applied in the field of satellite navigation, can solve the problems of limited number of codes, low complexity of ranging codes, and large number of spatial grid points

Active Publication Date: 2017-01-04
WUHAN UNIV
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Problems solved by technology

The real pseudo-random code generator can overcome the shortcomings of the fixed and short code length and the limited number of codes of the ranging code generated by the current binary pseudo-random code generator. However, due to the use of a nonlinear function and generally a quadratic function, And the data precision is 10 -2 , so that the complexity of the generated ranging code is not high, the security is not strong, and there are too many space grid points, and each grid point state variable only generates a real pseudo-random number at a time

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  • Method and system for realizing multi-state-variable spatial-temporal chaotic complex pseudo-random code generator
  • Method and system for realizing multi-state-variable spatial-temporal chaotic complex pseudo-random code generator
  • Method and system for realizing multi-state-variable spatial-temporal chaotic complex pseudo-random code generator

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specific Embodiment approach

[0129] Take ratio max{I l2,1 , I l4,1} large value I M , that is, expand the number of complex state variables; forward expand I M complex state variables, the expanded I M A complex state variable is denoted as G 0 . G 0 The position number i of the expanded complex state variable is [1,I M Integer in ], the effective complex state variable position number i in G is [1+I M ,N+I M ] Integer.

[0130] In order to ensure the subsequent calculation efficiency, I M The value should not be too large, generally a positive integer not greater than 10.

[0131] S4: Construction of nonlinear functions and state iteration formulas acting on real and imaginary parts of effective complex state variables.

[0132] (4-1) Construction of nonlinear function:

[0133] f l 1 ( x ...

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Abstract

The invention discloses a method and a system for realizing a multi-state-variable spatial-temporal chaotic complex pseudo-random code generator. A complex pseudo-random code generator composed of a series of sequentially-arranged and coupled complex state variables is built. First, different nonlinear functions are used to act on the current state values of the current positions and deviation positions of the real part and the imaginary part of the complex state variables, and a complex pseudo-random number sequence distributed over time is generated through mixed operation of addition, subtraction, multiplication or division with the diffusion coefficient as a weight and through state iteration. Then, a real pseudo-random number sequence is extracted from the real part and imaginary part taps of related variables, and binarization and mod-2 sum operation are performed to get a needed ranging code. The method and the system can be widely applied to satellite navigation systems, and can be used in all sorts of ranging systems, communication systems, broadcasting systems, control systems, and the like.

Description

technical field [0001] The invention relates to the technical field of satellite navigation, in particular to a method and system for realizing a multi-state variable space-time chaotic complex pseudo-random code generator. Background technique [0002] At present, the four major satellite navigation systems in the world are the GPS (Global Positioning System) satellite navigation system of the United States, the GLONASS (Global Navigation Satellite System) satellite navigation system of Russia, the Galileo satellite navigation system of the European Union and the BeiDou satellite navigation system of China . Except for GLONASS which adopts frequency division multiple access (FDMA, Frequency Division Multiple Access) communication mode, other satellite navigation systems adopt code division multiple access (CDMA, Code Division Multiple Access) communication mode. The ranging codes used by them are divided into two categories: civilian coarse codes and military fine codes. S...

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Application Information

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IPC IPC(8): H04L9/00H04L9/06
CPCH04L9/001H04L9/0662
Inventor 何志彪周扬眉肖模艳
Owner WUHAN UNIV
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