Parameter estimation method of Gold sequence

A technology of parameter estimation and sequence, applied in the field of parameter estimation of pseudo-random sequence, can solve the problem of unsatisfactory cross-correlation value of m-sequence, and achieve the effect of good fault tolerance

Active Publication Date: 2014-11-19
CHONGQING UNIV OF POSTS & TELECOMM
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AI Technical Summary

Problems solved by technology

The m-sequence has good randomness and balance, but there are not many m-sequences of the same length, and the cross-correlation value of the m-sequence is not ideal

Method used

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  • Parameter estimation method of Gold sequence
  • Parameter estimation method of Gold sequence
  • Parameter estimation method of Gold sequence

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Experimental program
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Embodiment Construction

[0019] The m-sequence is an abbreviation for the longest linear feedback shift register sequence, figure 1 A schematic of a linear feedback shift register is shown. a n (n=0,1,2...) can be expressed as:

[0020] a n =c 1 a n-1 ⊕c 2 a n-2 ⊕…⊕c n-1 a 1 ⊕c n a 0 (1)

[0021] where c i ∈{0,1}(i=1,2,...,n).

[0022] The structure of the feedback connection and sequence of a linear shift register, denoted by p(x) as:

[0023] p ( x ) = 1 + Σ i = 1 S c i x i - - - ( 2 )

[0024] In the formula, c i Indicates whether the feedback connection is on or off, where c i =1 means participating in the feedback, c i =0 means not participating ...

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Abstract

The invention provides a parameter estimation method of a Gold sequence. The Gold sequence is a pseudo-random sequence with better mutual correlation property compared with the m sequence and is widely applied to modern communication. Parameters of the Gold sequence are important components of the Gold sequence, but less research on parameter estimation is done. Aiming to solve problems existing in estimating parameters of the Gold sequence, the invention provides a parameter estimation method of the Gold sequence based on the Messi iterative algorithm. According to the method, firstly, according to partial sequences cut from the Gold sequence, a generator polynomial is estimated adopting the Messi iteration algorithm, and then, the primitive polynomial of an m sequence preferred pair which generates the Gold sequence is estimated through adopting the polynomial division. When the cut sequence lengths are shorter and error codes appear, the method can effectively estimate parameters of the Gold sequence.

Description

technical field [0001] The invention relates to a Gold sequence parameter estimation method, which is suitable for parameter estimation of pseudo-random sequences in the fields of spread spectrum communication, pseudo-code scrambling, pseudo-code ranging and the like. Background technique [0002] Pseudo-random sequences are widely used in spread spectrum communication, pseudo-code scrambling, pseudo-code ranging and cryptography. In spread spectrum communication, the spread spectrum sequence plays a very important role. In practice, the most widely used spread spectrum sequences are m sequence and Gold sequence. The m-sequence and Gold sequence are obtained through linear feedback shift registers, which have the advantages of simple implementation, good pseudo-randomness and good correlation, and are usually used as spread-spectrum sequences instead of random sequences in communication systems. [0003] The m-sequence is a pseudo-random sequence with the most complete theo...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H04B1/707H04L25/02
Inventor 张天骐李灿张刚石穗阳锐徐昕
Owner CHONGQING UNIV OF POSTS & TELECOMM
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