NDLI: Feedback Capacity of Stationary Gaussian Channels

Content Provider	IEEE Xplore Digital Library
Author	Young-Han Kim
Copyright Year	2006
Description	Author affiliation: Lab. of Inf. Syst., Stanford Univ., CA (Young-Han Kim)
Abstract	The feedback capacity of additive stationary Gaussian noise channels is characterized as the solution to a variational problem. Toward this end, it is proved that the optimal feedback coding scheme is stationary. When specialized to the first-order autoregressive moving-average noise spectrum, this variational characterization yields a closed-form expression for the feedback capacity. In particular, this result shows that the celebrated Schalkwijk-Kailath coding scheme achieves the feedback capacity for the first-order autoregressive moving-average Gaussian channel, positively answering a long-standing open problem studied by Butman, Schalkwijk-Tiernan, Wolfowitz, Ozarow, Ordentlich, Yang-Kavcic-Tatikonda, and others. More generally, it is shown that a k-dimensional extension of the Schalkwijk-Kailath coding scheme achieves the feedback capacity for any autoregressive moving-average noise spectrum of order k. Simply put, the optimal transmitter iteratively refines the receiver's knowledge of the intended message
Starting Page	59
Ending Page	63
File Size	148996
Page Count	5
File Format	PDF
ISBN	142440505X
DOI	10.1109/ISIT.2006.261598
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-07-09
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Feedback Gaussian channels Gaussian noise Additive noise Information theory Information systems Laboratories Closed-form solution Transmitters Density measurement
Content Type	Text
Resource Type	Article

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