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Protograph-Based LDPC Hadamard Codes
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DOI：10.1109/TCOMM.2021.3077939.png)
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摘要
En 中文
In this paper, we propose a new method to design low-density parity-check Hadamard (LDPC-Hadamard) codes - a type of ultimate-Shannon-limit approaching channel codes. The technique is based on applying Hadamard constraints to the check nodes in a generalized protograph-based LDPC code, followed by lifting the generalized protograph. We name the codes formed protograph-based LDPC Hadamard (PLDPC-Hadamard) codes. We also propose a modified Protograph Extrinsic Information Transfer (PEXIT) algorithm for analyzing and optimizing PLDPC-Hadamard code designs. The proposed algorithm further allows the analysis of PLDPC-Hadamard codes with degree- 1 and/or punctured nodes. We find codes with decoding thresholds ranging from -1.53 dB to -1.42 dB. At a BER of 10(-5), the gaps of our codes to the ultimate-Shannon-limit range from 0.40 dB (for rate = 0.0494) to 0.16 dB (for rate = 0.003). Moreover, the error performance of our codes is comparable to that of the traditional LDPC-Hadamard codes. Finally, the BER performances of our codes after puncturing are simulated and compared.
Keyword:
Error correction codes
Error correction
Parity check codes
Decoding
Bit error rate
Hardware
Complexity theory
Protograph LDPC code
PLDPC-Hadamard code
PEXIT algorithm
ultimate Shannon limit
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期刊
IF:
8.3
论文数:
1.2W
被引数:
3.6W
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