Non-Coherent Capacity and Reliability of Sparse Multipath Channels in the Wideband Regime

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dc.creatorHariharan, Gautham
dc.creatorSayeed, Akbar
dc.date2007-05-20
dc.date.accessioned2026-07-07T08:16:06Z
dc.date.available2026-07-07T08:16:06Z
dc.descriptionIn contrast to the prevalent assumption of rich multipath in information theoretic analysis of wireless channels, physical channels exhibit sparse multipath, especially at large bandwidths. We propose a model for sparse multipath fading channels and present results on the impact of sparsity on non-coherent capacity and reliability in the wideband regime. A key implication of sparsity is that the statistically independent degrees of freedom in the channel, that represent the delay-Doppler diversity afforded by multipath, scale at a sub-linear rate with the signal space dimension (time-bandwidth product). Our analysis is based on a training-based communication scheme that uses short-time Fourier (STF) signaling waveforms. Sparsity in delay-Doppler manifests itself as time-frequency coherence in the STF domain. From a capacity perspective, sparse channels are asymptotically coherent: the gap between coherent and non-coherent extremes vanishes in the limit of large signal space dimension without the need for peaky signaling. From a reliability viewpoint, there is a fundamental tradeoff between channel diversity and learnability that can be optimized to maximize the error exponent at any rate by appropriately choosing the signaling duration as a function of bandwidth.
dc.descriptionin the proceedings of the 2nd Information Theory and Applications (ITA) Workshop, San Diego, Jan. 2007
dc.identifierhttps://arxiv.org/abs/0705.2848
dc.identifierhttp://arxiv.org/abs/0705.2848
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133665
dc.subjectInformation Theory
dc.titleNon-Coherent Capacity and Reliability of Sparse Multipath Channels in the Wideband Regime
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