Capacity of The Discrete-Time Non-Coherent Memoryless Rayleigh Fading Channels at Low SNR - Computer Science > Information TheoryReport as inadecuate




Capacity of The Discrete-Time Non-Coherent Memoryless Rayleigh Fading Channels at Low SNR - Computer Science > Information Theory - Download this document for free, or read online. Document in PDF available to download.

Abstract: The capacity of a discrete-time memoryless channel, in which successivesymbols fade independently, and where the channel state information CSI isneither available at the transmitter nor at the receiver, is considered at lowSNR. We derive a closed form expression of the optimal capacity-achieving inputdistribution at low signal-to-noise ratio SNR and give the exact capacity ofa non-coherent channel at low SNR. The derived relations allow to betterunderstanding the capacity of non-coherent channels at low SNR and bring ananalytical answer to the peculiar behavior of the optimal input distributionobserved in a previous work by Abou Faycal, Trott and Shamai. Then, we computethe non-coherence penalty and give a more precise characterization of thesub-linear term in SNR. Finally, in order to better understand how the optimalinput varies with SNR, upper and lower bounds on the capacity-achieving inputare given.



Author: Z. Rezki, David Haccoun, Fran├žois Gagnon

Source: https://arxiv.org/



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