On the Sensitivity of Noncoherent Capacity to the Channel Model

The noncoherent capacity of stationary discrete-time fading channels is known to be very sensitive to the fine details of the channel model. More specifically, the measure of the set of harmonics where the power spectral density of the fading process is nonzero determines if capacity grows logarithm...

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Bibliographic Details
Published in:arXiv.org 2009-05
Main Authors: Durisi, Giuseppe, Morgenshtern, Veniamin I, Bölcskei, Helmut
Format: Article
Language:English
Subjects:
Channels
Communication channels
Fading
Frequency division multiplexing
Information theory
Orthogonal Frequency Division Multiplexing
Power spectral density
Scattering functions
Sensitivity
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Summary:The noncoherent capacity of stationary discrete-time fading channels is known to be very sensitive to the fine details of the channel model. More specifically, the measure of the set of harmonics where the power spectral density of the fading process is nonzero determines if capacity grows logarithmically in SNR or slower than logarithmically. An engineering-relevant problem is to characterize the SNR value at which this sensitivity starts to matter. In this paper, we consider the general class of continuous-time Rayleigh-fading channels that satisfy the wide-sense stationary uncorrelated-scattering (WSSUS) assumption and are, in addition, underspread. For this class of channels, we show that the noncoherent capacity is close to the AWGN capacity for all SNR values of practical interest, independently of whether the scattering function is compactly supported or not. As a byproduct of our analysis, we obtain an information-theoretic pulse-design criterion for orthogonal frequency-division multiplexing systems.
ISSN:2331-8422
DOI:10.48550/arxiv.0905.0619