Simplified Performance Analysis for Amplify-and-Forward Cooperative Diversity Optimal Detection of Binary Signals with Symmetric Alpha-Stable Noise
Tarik S. Shehata, Mohamed Fathy Feteiha, Mohamed H. Ahmed · 2016
For a wide range of wireless channels, symmetric alpha-stable (SαS) is shown to be applicable to model the noise and/or the interference. However, the ongoing research of the optimal detection of the cooperative diversity in alpha-stable noise is limited to few closed-form expressions for special values of the characteristic exponent due to the unavailability of the probability density function of the noise. This limits the performance analysis of such networks. In this paper, to overcome this difficulty, we use the compound property of the SαS distribution to derive an approximate analytical expression for the error probability. This facilitates the calculation of the error performance of the cooperative amplify-and-forward diversity with optimal detection of binary signals in SαS noise for any value of . Computer simulations are used to verify the correctness and accuracy of the derived analytical error results. Our mathematical modeling and simulations prove that asymptotic maximum diversity order is achievable.