A Class of Nonbinary LDPC Codes with Fast Encoding and Decoding Algorithms
This letter is concerned with a class of nonbinary low-density parity-check (LDPC) codes, referred to as column-scaled LDPC (CS-LDPC) codes, whose parity-check matrices have a property that each column is a scaled binary vector. The CS-LDPC codes, which include algebraically constructed nonbinary LD...
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| Vydáno v: | IEEE transactions on communications Ročník 61; číslo 1; s. 1 - 6 |
|---|---|
| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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New York, NY
IEEE
01.01.2013
Institute of Electrical and Electronics Engineers |
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| ISSN: | 0090-6778, 1558-0857 |
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| Abstract | This letter is concerned with a class of nonbinary low-density parity-check (LDPC) codes, referred to as column-scaled LDPC (CS-LDPC) codes, whose parity-check matrices have a property that each column is a scaled binary vector. The CS-LDPC codes, which include algebraically constructed nonbinary LDPC codes as subclasses, admit fast encoding and decoding algorithms. Specifically, for a code over the finite field F 2p , the encoder can be implemented with p parallel binary LDPC encoders followed by a series of bijective mappers, while the decoder can be implemented with an iterative decoder in which no message permutations are required during the iterations. In addition, there exist low-complexity iterative multistage decoders that can be utilized to trade off the performance against the complexity. Simulation results show that the performance degradation caused by the iterative multistage decoding algorithms is relevant to the code structure. |
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| AbstractList | This letter is concerned with a class of nonbinary low-density parity-check (LDPC) codes, referred to as column-scaled LDPC (CS-LDPC) codes, whose parity-check matrices have a property that each column is a scaled binary vector. The CS-LDPC codes, which include algebraically constructed nonbinary LDPC codes as subclasses, admit fast encoding and decoding algorithms. Specifically, for a code over the finite field F 2p , the encoder can be implemented with p parallel binary LDPC encoders followed by a series of bijective mappers, while the decoder can be implemented with an iterative decoder in which no message permutations are required during the iterations. In addition, there exist low-complexity iterative multistage decoders that can be utilized to trade off the performance against the complexity. Simulation results show that the performance degradation caused by the iterative multistage decoding algorithms is relevant to the code structure. |
| Author | Xiaoyi Zhang Baoming Bai Shancheng Zhao Xiao Ma |
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| Keywords | Performance evaluation Finite field Multistage method Fast Fourier transformation Coding circuit Algebraic LDPC codes Algebraic code Iterative method nonbinary LDPC codes Algorithm Iterative decoding Implementation Degradation FFT-QSPA Simulation Coding Algebraic method Error correcting code Parity check codes multistage decoding Parity check Damaging |
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| SubjectTerms | Algebraic LDPC codes Applied sciences Coding, codes Complexity theory Decoding Encoding Exact sciences and technology FFT-QSPA Finite element methods Information, signal and communications theory Iterative decoding multistage decoding nonbinary LDPC codes Signal and communications theory Telecommunications and information theory Vectors |
| Title | A Class of Nonbinary LDPC Codes with Fast Encoding and Decoding Algorithms |
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