Probability of errors when receiving signals on sealed communication channels with orthogonal frequency separation

Abstract

A mathematical analysis of the probability of errors in the reception of signals transmitted over compressed communication channels with orthogonal frequency separation in the presence of fading in the communication channel distributed in accordance with the Nakagami-m distribution law is made. Unlike previous publications, the present work considers the effect of non-uniform distribution of the phase of fading in the communication channel on the probability of errors in signal reception. A unified mathematical expression of the generating function of the moments for fading of the communication channel in the frequency domain, distributed according to the Nakagami-m law, is presented for uneven fading phase distributions in the communication channel. Thus, the classical methods of determining the generating function of moments can be used directly to obtain exact mathematical expressions for the probability of signal reception errors for various types of modulation and signal diversity.

Keywords

• moment generating function
• error probability
• fading channels
• orthogonal frequency-division multiplexing