Statistical characterization of error sequences and its applications to error control

Abstract

Average bit error rate is not a satisfactory descriptive feature required for code evaluation, because it can not precisely distinguish between random and bursty natures inherent in error occurrences. In this paper we report new results of exploiting the statistical characterization of error sequences in the design of error control for mobile radio communications. For tracking the nonstationary evolution of error sequences, Gilbert's model is considered here as a model representative of real channel behavior. We first employ the simulated annealing technique to extract the statistical parameters that are required for descriptive modeling the error sequences. To exploit this through adaptive coding system, we also construct a class of cyclic codes by using the least common multiple of the generator polynomials of both the BCH and Five codes.