Name
Title | ||
|---|---|---|
Generalized and Extended Subspace Algorithms for Error Correction with Quantized DFT Codes |
Abstract | ||
|---|---|---|
Discrete Fourier transform (DFT) codes have been used to provide robustness against errors and erasures in various applications. This paper focuses on improving error localization of the Bose-Chaudhuri-Hocquenghem (BCH) DFT codes. First, we analyze how the subspace-based error localization outperforms the coding-theoretic one. Then, we propose an extension of the subspace-based error localization, based on additional syndrome, that improves the existing one and is naturally suitable for rate-adaptive distributed source coding (DSC). Further, we propose a new generic subspace-based algorithm to decode BCH-DFT codes. The proposed approach generalizes the encoding and decoding of this important class of DFT codes. It introduces many different decoding matrices for a DFT code; this diversity is then used to diminish the effect of the quantization noise and thus to improve the decoding. Finally, the extended and generalized approaches are combined to maximize the decoding gain. Simulation results demonstrate the capability of the proposed algorithms to perform significantly better than the existing subspace-based error localization, in the presence of quantization noise. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1109/TCOMM.2014.010414.130440 | Communications, IEEE Transactions |
Keywords | Field | DocType |
BCH codes,decoding,discrete Fourier transforms,error correction codes,matrix algebra,quantisation (signal),source coding,BCH-DFT codes,Bose-Chaudhuri-Hocquenghem DFT codes,coding-theoretic one,decoding gain,decoding matrices,discrete Fourier transform codes,encoding,error correction,generic subspace-based algorithm,quantization noise,quantized DFT codes,rate-adaptive distributed source coding,subspace-based error localization,BCH-DFT codes,channel coding,distributed source coding,rate-adaptive codes,subspace error localization | BCJR algorithm,Concatenated error correction code,Sequential decoding,Computer science,Turbo code,Block code,Serial concatenated convolutional codes,Electronic engineering,Linear code,List decoding | Journal |
Volume | Issue | ISSN |
62 | 2 | 0090-6778 |
Citations | PageRank | References |
1 | 0.34 | 17 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mojtaba Vaezi | 1 | 166 | 19.27 |
| Fabrice Labeau | 2 | 294 | 57.06 |