Performance Analysis and Enhancement of P-LDPC Codes for Lossy Compression of Binary Sources

Due to the duality between source coding and channel coding, high-performance channel codes are often adopted for addressing source coding problems. In this paper, we investigate the design and analysis of protograph low-density parity-check (P-LDPC) codes in lossy source coding systems. First, we p...

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Bibliographic Details
Published in:IEEE transactions on communications p. 1
Main Authors: Liu, Sanya, Wu, Xinfeng, Fang, Yi, Chen, Jun, Chen, Chen, Zhou, Lin
Format: Journal Article
Language:English
Published: IEEE 2025
Subjects:
Arithmetic
Codes
Decoding
Encoding
lossy source coding
moderate length
Parity check codes
Prediction algorithms
Protograph low-density parity-check (P-LDPC) codes
quantization
Rate-distortion
rate-distortion (RD) theory
Source coding
Vector quantization
Vectors
ISSN:0090-6778, 1558-0857
Online Access:Get full text
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Summary:Due to the duality between source coding and channel coding, high-performance channel codes are often adopted for addressing source coding problems. In this paper, we investigate the design and analysis of protograph low-density parity-check (P-LDPC) codes in lossy source coding systems. First, we propose a novel lossy source coding architecture based on P-LDPC codes, and empirically verify that although high-performance channel codes perform exceptionally well in their intended domain, they are not inherently optimal for lossy compression. To facilitate analysis, we introduce the lossy compression protograph extrinsic information transfer (LC-PEXIT) algorithm, which aids in evaluating the rate-distortion (RD) performance of P-LDPC codes. Additionally, the LC-PEXIT algorithm allows for the prediction of key parameters, such as the prior coefficient P and the reinforcement rate R , both of which critically influence system performance. We further propose a design algorithm for lossy P-LDPC codes and provide two sets of design examples. Experimental results show strong alignment between the predicted and actual values of P and R f, with the designed P-LDPC codes exhibiting superior RD performance compared to classical P-LDPC and state-of-the-art ultra-sparse LDPC (US-LDPC) codes. In particular, the designed P-LDPC codes over benchmark codes increases the system coding efficiency of up to approximate 70% and achieves a performance gain of 1.69 ~ 3.26 dB, making it highly effective for lossy compression applications.
ISSN:0090-6778
1558-0857
DOI:10.1109/TCOMM.2025.3600568