IEEE transactions on signal processing, 2006-03, Vol.54 (3), p.991-1004
2006
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Details
- Autor(en) / Beteiligte
- Titel
- Block error correcting codes using finite-field wavelet transforms
- Ist Teil von
- IEEE transactions on signal processing, 2006-03, Vol.54 (3), p.991-1004
- Ort / Verlag
- New York, NY: IEEE
- Erscheinungsjahr
- 2006
- Quelle
- IEEE Xplore
- Beschreibungen/Notizen
- This paper extends the popular wavelet framework for signal representation to error control coding. The primary goal of the paper is to use cyclic finite-field wavelets and filter banks to study arbitrary-rate L-circulant codes. It is shown that the wavelet representation leads to an efficient implementation of the block code encoder and the syndrome generator. A formulation is then given for constructing maximum-distance separable (MDS) wavelet codes using frequency-domain constraints. This paper also studies the possibility of finding a wavelet code whose tail-biting trellis is efficient for soft-decision decoding. The wavelet method may provide an easy way to look for such codes.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 1053-587XeISSN: 1941-0476DOI: 10.1109/TSP.2005.863011Titel-ID: cdi_proquest_miscellaneous_1671514472
- Format
- –
- Schlagworte
- Applied sciences, Block codes, Blocking, Coding, codes, Decoding, Detection, estimation, filtering, equalization, prediction, Digital signal processing, Discrete Fourier transforms, Encoders, Error correcting codes, Error correction, Error correction codes, Exact sciences and technology, Filter bank, Filter banks, Finite-field wavelets, Galois fields, Information, signal and communications theory, maximum-distance separable (MDS) codes, Miscellaneous, orthogonal multichannel filter banks, quasi-circulant codes, Representations, Signal and communications theory, Signal processing, Signal representation. Spectral analysis, Signal representations, Signal, noise, Telecommunications and information theory, Wavelet, Wavelet transforms