Capacity of Multiple One-Bit Transceivers in a Rayleigh Environment

04/21/2018

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by   Kang Gao, et al.

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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=α M receivers, we derive an expression of the capacity per transmitter C, where C≤(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.