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Design of High-Rate LDGM codes

Puripong Suthisopapan, Mongkol Kupimai, Rangsan Tongta, Virasit Imtawil

Open publisher page 5 citations

Abstract

Low density generator matrix to construct low-density parity check (LDPC) codes is designed in this paper. The proposed structure significantly reduces the encoding complexity of LDPC codes. Codes in this class can be easily constructed by concatenating the parity-check matrix of array low-density parity-check (ALDPC) codes with the identity matrix and also contains no short cycle of length four. The results shown in this paper indicate that these codes can perform very well at high code rate (R ¿ 0.85) under iterative decoding with no serial or parallel concatenation of two codes.

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What this paper is about

Low density generator matrix to construct low-density parity check (LDPC) codes is designed in this paper. The proposed structure significantly reduces the encoding complexity of LDPC codes. Codes in this class can be easily constructed by concatenating the parity-check matrix of array low-density parity-check (ALDPC) codes with the identity matrix and also contains no short cycle of length four. The results shown in this paper indicate that these codes can perform very well at high code rate (R ¿ 0.85) under iterative decoding with no serial or parallel concatenation of two codes.

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Available abstract

Low density generator matrix to construct low-density parity check (LDPC) codes is designed in this paper. The proposed structure significantly reduces the encoding complexity of LDPC codes. Codes in this class can be easily constructed by concatenating the parity-check matrix of array low-density parity-check (ALDPC) codes with the identity matrix and also contains no short cycle of length four. The results shown in this paper indicate that these codes can perform very well at high code rate (R ¿ 0.85) under iterative decoding with no serial or parallel concatenation of two codes.

Key concepts: Low-density parity-check code, Generator matrix, Raptor code, Concatenated error correction code, Concatenation (mathematics), Serial concatenated convolutional codes, Parity-check matrix, Turbo code

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