Capacity of Multiple One-Bit Transceivers in a Rayleigh Environment

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 $N=\alpha M$ receivers, we derive an expression of the capacity per transmitter $\mathcal{C}$, where $\mathcal{C}\le \min (1,\alpha )$, as a function of $\alpha$ and signal-to-noise ratio (SNR) $\rho$, when $M\to \infty$. We show that our expression is a good approximation for small $M$, and provide simple approximations of $\mathcal{C}$ for various ranges of $\alpha$ and SNR $\rho$. We conclude that at high SNR, $\mathcal{C}$ reaches its upper limit of one only if the ratio $\alpha >1.24$. Expressions for determining when $\mathcal{C}$ "saturates" as a function of $\alpha$ and $\rho$ are given.

arXiv comment6 pages, to be published in IEEE WCNC 2018, Barcelona, Spain

References in corpus (4)

• Millimeter Wave Wireless Communications: New Results for Rural Connectivity
• Capacity Analysis of One-Bit Quantized MIMO Systems with Transmitter Channel State Information
• Statistical mechanics of image restoration and error-correcting codes
• Channel Estimation and Uplink Achievable Rates in One-Bit Massive MIMO Systems