High-SNR capacity of wireless communication channels in the noncoherent setting: A primer

Authors

Giuseppe Durisi and Helmut Bölcskei

Reference

International Journal of Electronics and Communications (AEÜ), Vol. 65, Issue 8, pp. 707-712, Aug. 2011.

DOI: 10.1016/j.aeue.2011.02.003

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Abstract

This paper, mostly tutorial in nature, deals with the problem of characterizing the capacity of fading channels in the high signal-to-noise ratio (SNR) regime. We focus on the practically relevant noncoherent setting, where neither transmitter nor receiver know the channel realizations, but both are aware of the channel law. We present, in an intuitive and accessible form, two tools, first proposed by Lapidoth and Moser (2003), of fundamental importance to high-SNR capacity analysis: the duality approach and the escape-to-infinity property of capacity-achieving distributions. Furthermore, we apply these tools to refine some of the results that appeared previously in the literature and to simplify the corresponding proofs.

Keywords

Shannon capacity, high SNR, non coherent communication

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Copyright Notice: © 2011 G. Durisi and H. Bölcskei.

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