Low SNR Capacity of Fading Channels with Peak and Average Power Constraints

dc.creatorSethuraman, Vignesh
dc.creatorHajek, Bruce
dc.date2006-04-11
dc.date2006-04-13
dc.date.accessioned2026-07-07T08:16:29Z
dc.date.available2026-07-07T08:16:29Z
dc.descriptionFlat-fading channels that are correlated in time are considered under peak and average power constraints. For discrete-time channels, a new upper bound on the capacity per unit time is derived. A low SNR analysis of a full-scattering vector channel is used to derive a complimentary lower bound. Together, these bounds allow us to identify the exact scaling of channel capacity for a fixed peak to average ratio, as the average power converges to zero. The upper bound is also asymptotically tight as the average power converges to zero for a fixed peak power. For a continuous time infinite bandwidth channel, Viterbi identified the capacity for M-FSK modulation. Recently, Zhang and Laneman showed that the capacity can be achieved with non-bursty signaling (QPSK). An additional contribution of this paper is to obtain similar results under peak and average power constraints.
dc.description13 pages, version without proofs submitted to ISIT 2006
dc.identifierhttps://arxiv.org/abs/cs/0604049
dc.identifierhttp://arxiv.org/abs/cs/0604049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133794
dc.subjectInformation Theory
dc.titleLow SNR Capacity of Fading Channels with Peak and Average Power Constraints
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