Analytical models for distribution of the envelope and phase of linearly modulated signals in AWGN channel

Abstract

In this paper, analytical expressions for the distribution of the envelope and phase of linearly modulated signals such as BPSK,M-PSK, andM-QAM in AWGN are presented.We perform numerical simulations for different orders of signal constellations. The results show that the proposed theoretical models are in excellent agreement with the estimated distributions from various numerical experiments.