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Analog Network Coding (ANC) is proposed in literature to improve the networkthroughput by exploiting channel diversity. In practical scenarios, due to thedifference in channel characteristics, an extra residual component, termed asANC noise, appears during the processing of the received signal. This ANC noisecomponent may suppress the ANC gain. None of the existing literature to ourknowledge considers the effect of spatial correlation among channels on ANCnoise. This paper develops a generic framework to investigate the effect ofchannel characteristics on ANC noise. We have modelled the channels asspatially correlated to take the (dis)similarity among them into account. Pernode power constraint is also taken into consideration. In this work, we havecharacterized the behaviour of ANC noise and presented the results to analyzethe network performance in terms of outage probability. Outcomes of ourinvestigation show that spatial correlation among channels significantlyaffects the variance of ANC noise as well as the outage performance of thesystem. The proposed framework can provide better insights while selecting thesystem parameters in a correlated environment.

Analysis of Analog Network Coding noise in Multiuser Cooperative Relaying for Spatially Correlated Environment