NDLI: Eigenvalue Estimates and Mutual Information for the Linear Time-Varying Channel

Content Provider	IEEE Xplore Digital Library
Author	Farrell, B. Strohmer, T.
Copyright Year	1963
Abstract	We consider linear time-varying channels with additive white Gaussian noise. For a large class of such channels we derive rigorous estimates of the eigenvalues of the correlation matrix of the effective channel in terms of the sampled time-varying transfer function and, thus, provide a theoretical justification for a relationship that has been frequently observed in the literature. We then use this eigenvalue estimate to derive an estimate of the mutual information of the channel. Our approach is constructive and is based on a careful balance of the tradeoff between approximate operator diagonalization, signal dimension loss, and accuracy of eigenvalue estimates.
Sponsorship	IEEE Information Theory Society
Starting Page	5710
Ending Page	5719
Page Count	10
File Size	249176
File Format	PDF
ISSN	00189448
Volume Number	57
Issue Number	9
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-09-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Eigenvalues and eigenfunctions Mutual information Time-varying channels Fourier transforms Correlation Time frequency analysis Transfer functions Weyl–Heisenberg system Approximate diagonalization eigenvalue estimates mutual information time-varying channel
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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