Derivation on bit error probability of coded QAM using integer codes

Abstract

Coded modulation refers to the process of combined and jointly optimized channel coding and modulation scheme. In this paper, block coded modulation using integer codes and its performance is evaluated by deriving a formula of its bit error probability for AWGN channel. The probability of correct detection of the received signal is a square of the corresponding probability. The detector correctly demodulates the received signal with an average probability in uncoded and coded case respectively.