Principles of Digital Transmission: With Wireless Applications
Principles of Digital Transmission: With Wireless Applications
MILCOM'06 Proceedings of the 2006 IEEE conference on Military communications
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Reference [1] introduced optimum selection combining (OSC) for binary phase shift keyed signals which selects the diversity branch having the maximum a posteriori probability. It performs much closer to maximal ratio combining (MRC) than the conventional selection combining (CSC) which selects the diversity branch having the maximal instantaneous signal power [2]. It is known that these combining techniques have the same diversity order (DO), i.e., the same performance slope (log error probability versus signal-to-noise ratio (SNR) in dB) - the performance variation is the SNR difference (gap) between any two techniques to achieve the same bit error rate (BER). This paper derives closed-form expressions for the SNR gaps among these three combining schemes. The paper also analyzes the asymptotic BER for these three combining schemes as a function of DO for a fixed SNR.