Title :
A behavioral framework for Reed-Solomon decoding through multiplicative bivariate interpolation
Author :
Kuijper, Margreta ; Polderman, Jan Willem
Author_Institution :
Dept. of Electron. & Electr. Eng., Melbourne Univ., Vic., Australia
Abstract :
A behavioral setting is provided for decoding of Reed-Solomon codes. More specifically Sudan´s approach based on bivariate polynomial interpolation is cast into a behavioral setting. The interpolation problem is translated into a linear behavioral modelling problem. The notion of weighted row reduced representation turns out to be crucial.
Keywords :
Reed-Solomon codes; decoding; interpolation; polynomials; reduced order systems; Reed-Solomon decoding; Sudan approach; behavioral framework; linear behavioral modelling problem; multiplicative bivariate interpolation; Australia; Decoding; Galois fields; Interpolation; Linear code; Polynomials; Power system modeling; Redundancy; Reed-Solomon codes; Vectors;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272844
