Analysis of K-Transmit Dual-Receive Diversity with Cochannel Interferers over a Rayleigh Fading Channel

The need to combat the severe effects of fading and interferencein the rapidly increasing number of communication systemsproviding wireless services has motivated the study of diversityin the presence of interference.Hence the analysis of wireless systems with both transmit andreceive diversity and subject to cochannel interference is animportant tool for system design.We consider here a K-transmit dual-receive diversitycommunication systememploying K antennas for transmission and two antennasfor reception. The desired signal is corruptedby N interfering sources apart from additive whiteGaussian noise. The channel is Rayleigh fading.As a result, the channel matrix for the desired signaland the propagation vectors of the interferers havezero-mean complexGaussian entries; the entries are assumedto be independent and identically distributed.The complex receive weight vectorused for combining the received signalsis chosen so as to maximize the outputsignal-to-interference-plus-noiseratio (SINR).From the statistics of the channel matrix and thepropagation vectors of the interferers,we derive a closed-form expressionfor the probability density function (p.d.f.)of the maximum outputSINR. This p.d.f. can be used to obtainthe symbol errorprobability for different digital modulation schemes.