Title :
Stable DFT codes and frames
Author :
Ferreira, Paulo J S G ; Vieira, José M N
Author_Institution :
Dept. Electron., Telecomunicacoes/IEETA Univ. de Aveiro, Portugal
Abstract :
Discrete Fourier transform codes (DFT codes) or real number codes have been studied and recognized as useful (as joint source-channel codes, for example) but are not stable under bursty losses. This paper introduces a two-channel DFT code with an interleaver and shows that its numerical stability far exceeds that of the corresponding single-channel DFT code (the ratio of the frame bounds for the two-channel system can be smaller by many orders of magnitude). This leads to a stable way of dealing with bursts of errors using DFT codes.
Keywords :
combined source-channel coding; concatenated codes; discrete Fourier transforms; eigenvalues and eigenfunctions; interleaved codes; iterative decoding; numerical stability; bursty losses; concatenated codes; discrete Fourier transform codes; eigenvalues; frame bounds ratio; interleaver; iterative decoding; joint source-channel codes; numerical stability; real number codes; single-channel DFT code; stable DFT codes; two-channel DFT code; two-channel DFT codes; Convergence; Discrete Fourier transforms; Eigenvalues and eigenfunctions; Error correction; Fourier transforms; Interpolation; Numerical stability; Redundancy; Signal processing algorithms;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2002.807876
