New results on the performance of Reed-Solomon codes in wireless data networks

This paper presents generalized expressions for the probabilities of correct decoding and decoder error for Reed-Solomon 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) 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 general bursty wireless LAN channel in which the symbols and codewords within the packet are correlated