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Analysis and Optimization of a General Linking Matrix for JSCC Scheme Based on Double LDPC Codes.

Qiwang Chen1, Zhiping Xu2, Huihui Wu3

  • 1Xiamen Key Laboratory of Mobile Multimedia Communications, College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China.

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|February 25, 2023
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Summary

This study introduces a general linking matrix for double low-density parity-check (D-LDPC) codes, enhancing information transfer in joint source-channel coding (JSCC). Optimized matrices improve system performance over conventional fixed identity matrices.

Keywords:
double low-density parity-check codesjoint source-channel codinglinking matrix

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Area of Science:

  • Information Theory
  • Coding Theory
  • Digital Communications

Background:

  • Joint Source-Channel Coding (JSCC) relies on Double Low-Density Parity-Check (D-LDPC) codes.
  • A fixed linking matrix (identity matrix) in conventional D-LDPC systems limits information transfer efficiency.
  • Optimizing the linking matrix is crucial for maximizing decoding performance.

Purpose of the Study:

  • To introduce and generalize a non-identity linking matrix for D-LDPC codes.
  • To develop a Joint Extrinsic Information Transfer (JEXIT) algorithm for threshold calculation.
  • To optimize general linking matrices for improved D-LDPC system performance.

Main Methods:

  • A general, non-identity linking matrix is proposed to connect source and channel LDPC codes.
  • Encoding and decoding algorithms for the generalized D-LDPC system are derived.
  • A JEXIT algorithm is developed to analyze the decoding threshold with the general linking matrix.

Main Results:

  • The proposed D-LDPC system utilizes a general linking matrix, enabling more flexible information exchange.
  • The JEXIT algorithm accurately calculates the decoding threshold for the generalized system.
  • Optimized general linking matrices demonstrate superior performance compared to conventional methods.

Conclusions:

  • The introduction of a general linking matrix significantly enhances D-LDPC based JSCC systems.
  • The JEXIT algorithm provides a powerful tool for analyzing and optimizing these systems.
  • The proposed approach offers a more effective method for joint source and channel coding.