Capacity of multiple one-bit transceivers in a Rayleigh environment
Capacity of multiple one-bit transceivers in a Rayleigh environment
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DOI：
10.1109/wcnc.2018.8377302
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发表时间：
2018-04
期刊：
影响因子：
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通讯作者：
Kang Gao;J. N. Laneman;B. Hochwald
中科院分区：
文献类型：
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作者：
Kang Gao;J. N. Laneman;B. Hochwald
我们分析了一个系统的信道容量与大量的一位收发器在一个经典的瑞利环境与完美的信道信息在接收机。在M个发射机和N =αM个接收机的情况下，当M → ∞时，我们导出了每个发射机的容量C的表达式，其中C ≤ min（1，α）是α和信噪比（SNR）ρ的函数。我们表明，我们的表达式是一个很好的逼近小M，并提供了简单的近似C的各种范围内的α和ρ。我们得出结论，在高信噪比下，只有当α > 1.24时，C才达到其上限1。给出了确定C何时“饱和”的表达式，作为α和ρ的函数。
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 a 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 ρ. We conclude that at high SNR, C reaches its upper limit of one only if α > 1.24. Expressions for determining when C “saturates” as a function of α and ρ are given.