Analytical approach for analyzing quantization noise effects on decision operators

The presence of decision operators has proved to be a serious impediment for a fully analytical noise power estimation technique. This paper proposes a generalized decision operator which can potentially capture the behavior of all possible types of decision operators and provides a fully analytical technique to handle them while performing quantization noise power estimation. The proposed method is applied to BPSK and 16-QAM decision operators. The total error rate and the PDF of the error signal are found to follow the simulation to a great degree of accuracy.