Block Code Optimal Parameters Determination: A Numerical Approach

Channel coding is a common technique used to reduce bit-error rate (BER) in a communication channel. In cases where a certain block code is used, there is a known procedure for determining a residual BER (bit-error rate after encoding and decoding). Analysis in opposite direction should determine a block code parameters for optimising system performance in terms of reliability and throughput. This paper proposes an iterative method for addressed problem by introducing some auxiliary function, whose inverse can be written in closed form. We demonstrate the usage of proposed method in determining parameters of suitable binary BCH code to improve error probability during the transmission of BPSK signal over Rayleigh fading channel. The correctness of analytically obtained results are validated by simulation results.