Reliability Characterization for SIMO Communication Systems With Low-Resolution Phase Quantization Under Rayleigh Fading

Abstract

This paper investigates the communication reliability for single-input-multiple-output wireless systems with low-resolution phase quantizers. First, the maximum-likelihood detector with $n$ -bit phase quantization is derived when there are $N$ antennas at the receiver. Then, three low-complexity antenna selection strategies for data detection are proposed and their symbol error probability performance is characterized. It is shown that having 3 or more bits is sufficient to attain the full diversity order $N$ , achievable with infinite-bit quantizers, for quadrature phase shift keying modulation under Rayleigh fading. In particular, it is established that the proposed low-complexity max-distance and max-norm antenna selection strategies perform the same as the maximum-likelihood detector in terms of the asymptotic system reliability for $n\geq 3$ . On the other hand, the diversity order decreases dramatically from $N$ to $\frac {N}{2}$ when $n$ is equal to 2, as illustrated by our numerical results and proven for the case of $N=2$ . An extensive numerical and simulation study is performed to illustrate the accuracy of the derived results and asymptotic system reliability performance as well as verifying our hypotheses in the high signal-to-noise ratio regime.

Keywords

• Low-resolution quantization
• ML detectors
• selection combining
• symbol error probability
• diversity order