Generalizing the Sampling Property of the Q-function for Error Rate Analysis of Cooperative Communication in Fading Channels

TL;DR

This paper develops a generalized approximation method for deriving closed-form Bit Error Rate expressions in cooperative wireless communication systems, simplifying complex integrals and aligning well with simulations across various SNR levels.

Contribution

It extends sampling property-based approximation methods to derive BER expressions for cooperative communication scenarios, reducing computational complexity and improving analytical accuracy.

Findings

Derived BER expressions match simulation results across SNR range

Method simplifies evaluation of complex expectation integrals

Applicable to a broad class of integration problems in wireless systems

Abstract

This paper extends some approximation methods that are used to identify closed form Bit Error Rate (BER) expressions which are frequently utilized in investigation and comparison of performance for wireless communication systems in the literature. By using this group of approximation methods, some expectation integrals, which are complicated to analyze and have high computational complexity to evaluate through Monte Carlo simulations, are computed. For these integrals, by using the sampling property of the integrand functions of one or more arguments, reliable BER expressions revealing the diversity and coding gains are derived. Although the methods we present are valid for a larger class of integration problems, in this work we show the step by step derivation of the BER expressions for a canonical cooperative communication scenario in addition to a network coded system starting from basic building blocks. The derived expressions agree with the simulation results for a very wide range of signal-to-noise ratio (SNR) values.