Title :
Systematic redundant residue number system codes: analytical upper bound and iterative decoding performance over AWGN and Rayleigh channels
Author :
Liew, T.H. ; Yang, Lie-Liang ; Hanzo, Lajos
Author_Institution :
Sch. of Electron. & Comput. Sci., Southampton Univ.
fDate :
6/1/2006 12:00:00 AM
Abstract :
The novel family of redundant residue number system (RRNS) codes is studied. RRNS codes constitute maximum-minimum distance block codes, exhibiting identical distance properties to Reed-Solomon codes. Binary to RRNS symbol-mapping methods are proposed, in order to implement both systematic and nonsystematic RRNS codes. Furthermore, the upper-bound performance of systematic RRNS codes is investigated, when maximum-likelihood (ML) soft decoding is invoked. The classic Chase algorithm achieving near-ML soft decoding is introduced for the first time for RRNS codes, in order to decrease the complexity of the ML soft decoding. Furthermore, the modified Chase algorithm is employed to accept soft inputs, as well as to provide soft outputs, assisting in the turbo decoding of RRNS codes by using the soft-input/soft-output Chase algorithm
Keywords :
AWGN channels; Rayleigh channels; Reed-Solomon codes; channel coding; iterative decoding; maximum likelihood decoding; residue codes; residue number systems; AWGN channels; Chase algorithm; Rayleigh channels; Reed-Solomon codes; iterative decoding; maximum-likelihood soft decoding; maximum-minimum distance block codes; symbol-mapping methods; systematic redundant residue number system code; AWGN; Application software; Arithmetic; Error correction; Iterative decoding; Maximum likelihood decoding; Performance analysis; Rayleigh channels; Signal processing; Upper bound; Redundant residue number system (RRNS); residue number system (RNS); turbo detection;
Journal_Title :
Communications, IEEE Transactions on
DOI :
10.1109/TCOMM.2006.876843
