Applications and Construction of the Structured LDPC Codes in Satellite Navigation System

Abstract

Abstract: The structured low density parity check (LDPC) codes can be described by the base-matrices and lifting factors, which have low encoding/decoding complexity and good coding performance. Compared to the irregular LDPC codes specified in IS-GPS-800, the structured LDPC codes also can be encoded with linear complexity, where the parity bits are connected with dual-diagonal and “a-0-a” pattern. Moreover, it is very convenience for the structured LDPC codes to support the adaptive transmissions with various lengths using different lifting factors and pruning techniques, where the puncturing and shortening patterns can be easily optimized by PEXIT. Based on the construction method considering cycle conditions and ACE spectrums, a simple coding scheme using only one base-matrix was proposed which can support two different lifting factors and achieve various transmission lengths by puncturing and shortening. The simulation result show that the structured LDPC codes with optimized puncturing/shortening pattern achieve considerable performance gain over the irregular LDPC codes in IS-GPS-800.

Key words: Low density parity check, Lifting factors, Bit pruning, Optimization, Coding, Satellite navigation

JIANG Ming, HE Shan-Bao, DOU Jin-Fang, ZHAO Chun-Ming, WANG Chen. Applications and Construction of the Structured LDPC Codes in Satellite Navigation System[J]. Chinese Space Science and Technology, 2010, 30(6): 64-71.

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References

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