DocumentCode :
395993
Title :
A subspace based method for error correction with DFT codes
Author :
Rath, Gagan ; Guillemot, Christine
Author_Institution :
Campus de Beaulieu, INRISA-INRIA, Rennes, France
Volume :
4
fYear :
2003
fDate :
11-15 May 2003
Firstpage :
2857
Abstract :
A subspace based method for real error correction with low-pass DFT codes is proposed. The common roots of the eigen-polynomials of the syndrome covariance matrix associated with the zero eigenvalue gives the error locations. When the codevectors are quantized, the localization algorithm is modified so as to minimize the quantization noise effects. The proposed method is analogous to the subspace based spectral estimation techniques in array signal processing, but adapted to discrete error locations and only one set of syndrome coefficients. By combining the analytical results for perfect error localization with the subspace based approach, we obtain superior results than the existing approach.
Keywords :
array signal processing; covariance matrices; discrete Fourier transforms; eigenvalues and eigenfunctions; error correction codes; noise; DFT codes; array signal processing; codevectors; eigen-polynomials; error correction; error locations; localization algorithm; quantization noise effects; real error correction; spectral estimation techniques; subspace based method; syndrome covariance matrix; zero eigenvalue; Array signal processing; Channel coding; Covariance matrix; Eigenvalues and eigenfunctions; Error correction; Error correction codes; Galois fields; Parameter estimation; Quantization; Signal processing algorithms;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Communications, 2003. ICC '03. IEEE International Conference on
Print_ISBN :
0-7803-7802-4
Type :
conf
DOI :
10.1109/ICC.2003.1204541
Filename :
1204541
Link To Document :
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