Capacity of Multiple One-Bit Transceivers in a Rayleigh Environment

2018/04/21 by Kang Gao, Gao, Kang, J. Nicholas Laneman +3 · 1 citation
Computer Science · Engineering · #Advanced MIMO Systems Optimization #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Communication Security Techniques

paper · pdf · doi:10.48550/arxiv.1804.07985

openalex publication_date 2018/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We analyze the channel capacity of a system with a large number of one-bit transceivers in a classical Rayleigh environment with perfect channel information at the receiver. With M transmitters and N=αM receivers, we derive an expression of the capacity per transmitter C, where C≤min(1,α), as a function of α and signal-to-noise ratio (SNR) ρ, when M→∞. We show that our expression is a good approximation for small M, and provide simple approximations of C for various ranges of α and SNR ρ. We conclude that at high SNR, C reaches its upper limit of one only if the ratio α>1.24. Expressions for determining when C "saturates" as a function of α and ρ are given.

Citations

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