Non-Coherent Amplify-and-Forward Generalized Likelihood Ratio Test Receiver

Published

July 30, 2010

Author(s)

Michael R. Souryal

Abstract

This paper proposes a simple non-coherent amplify-and-forward receiver for the relay channel and evaluates its diversity performance for Rayleigh fading channels. We use the generalized likelihood ratio test to obtain the decision rule in closed form, independent of the fading distribution. The receiver is developed for M-ary orthogonal signals and multiple relays. The only side information required is the average noise energy at the receiver; no statistical knowledge of the channel gains is needed. We develop closed-form upper and lower bounds on the probability of error of this receiver for the case of binary signaling with a single relay and show that this receiver achieves near-full diversity, with the probability of error decreasing with increasing signal-to-noise ratio (SNR) as log^2 (SNR) / SNR^2 for large SNR. Additional results obtained by simulation demonstrate increasing diversity gain with additional relays.

Citation

IEEE Transactions on Wireless Communications

Volume

9

Issue

7

Pub Type

Journals

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Keywords

Amplify-and-forward, Cooperative diversity, Generalized likelihood ratio, Non-coherent, Relay

Citation

Souryal, M. (2010), Non-Coherent Amplify-and-Forward Generalized Likelihood Ratio Test Receiver, IEEE Transactions on Wireless Communications, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=905550 (Accessed February 17, 2025)