Abstract

Frame synchronization word (FSW) is an important basis in signal synchronization detection. In our work, the joint design of frame synchronization words and error correcting code are proposed which through regularly distributing the frame synchronization words among the information bits to improve the decoding performance of the LDPC. Frame synchronization word should be added to the information sequence corresponding to the position with the check matrix larger column weight which can guarantee that more Frame synchronization words are received by the check node in the decoding iteration. The frame synchronization word is known to the receiver which play an important role in decoding iteration. The results of simulation show that the algorithm makes an obvious improvement in decoding performance when the signal-noise ratio (SNR) is lower than 1 dB.

Highlights

  • In non-cooperative communication reception, frame synchronization is an indispensable part, and it relies on frame synchronization words for synchronization identification

  • The frame synchronization words are distributed in the LDPC information sequence according to certain regulations, so that the frame synchronization words can maximize the decoding performance during the decoding iteration process

  • LDPC code is a reliable channel coding, which is widely used in modern communication systems due to its iterative decoding performance close to Shannon limit

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Summary

Introduction

In non-cooperative communication reception, frame synchronization is an indispensable part, and it relies on frame synchronization words for synchronization identification. An algorithm based on frame synchronization word distribution is proposed to improve LDPC decoding performance. The frame synchronization words are distributed in the LDPC information sequence according to certain regulations, so that the frame synchronization words can maximize the decoding performance during the decoding iteration process. It has not been proposed to the design method of combining frame synchronization word and LDPC, so there is a large research space in this aspect. Based on the above analysis, a joint design method of frame synchronization word and channel coding is proposed, and determines the location of frame synchronization words in the information sequence according to the check matrix of LDPC code. There is an introduction to LDPC, a detailed derivation of the distribution law of frame synchronization words and the theoretical analysis of decoding performance are show in the third section. The fourth part verifies the influence of the frame synchronization word on the decoding performance through simulation experiments

Representation of LDPC codes
Regular LDPC code and irregular LDPC code
Distribution of frame synchronization word
Theoretical analysis of decoding performance
Density evolution theory
Gaussian approximation
MATLAB simulation realization of LDPC codec
Conclusions
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