Title :
Advances in the performance of Reed-Solomon codes
Author :
Daraiseh, Abdel-Ghani A.
Author_Institution :
Wireless Syst. Eng. Dept., Northern Telecom Inc., Richardson, TX, USA
fDate :
1/1/1999 12:00:00 AM
Abstract :
This paper presents generalized expressions for the probabilities of correct decoding and decoder error for Reed-Solomon (RS) codes. In these expressions, the symbol error and erasure probabilities are different in each coordinate in a codeword. The above expressions are used to derive the expressions for reliability and delay for Type-I hybrid ARQ (HARQ-I) systems when each symbol in a packet (multiple codewords per packet) has unique symbol error and erasure probabilities. Applications of the above results are demonstrated by analyzing a bursty-correlative channel in which the symbols and codewords within the packet are correlated
Keywords :
Reed-Solomon codes; automatic repeat request; correlation methods; decoding; delays; error statistics; protocols; telecommunication channels; HARQ-I protocol; Reed-Solomon codes; Type-I hybrid ARQ systems; bursty-correlative channel; codewords; correct decoding probability; decoder error probability; delay; erasure probability; reliability; symbol error probability; Automatic repeat request; Block codes; Decoding; Delay; Error correction; Error correction codes; Error probability; Genetic expression; Protocols; Reed-Solomon codes;
Journal_Title :
Communications, IEEE Transactions on
