NDLI: On linear transforms in zero-delay Gaussian source channel coding

Content Provider	IEEE Xplore Digital Library
Author	Akyol, E. Rose, K.
Copyright Year	2012
Description	Author affiliation: University of California, Santa Barbara, CA-93106 (Akyol, E.; Rose, K.)
Abstract	This paper is concerned with the optimal linear transforms in zero-delay source channel coding for Gaussian sources and channels. In preparation for the main results, we first consider the classical problem in the point-to-point setting, which had already been solved by Lee and Petersen, where we provide an alternative proof using majorization. We then analyze the performance of linear source-channel coding in the low signal-to-noise ratio (SNR) regime. We show that at asymptotically low SNR, or equivalently as the power tends to zero, the powerdistortion function of zero delay linear coding achieves optimum theoretically achievable performance. Finally, we consider zero-delay source-channel coding with decoder side information. Here, subject to structural constraints on the encoder, we find the optimal encoder-decoder pair in closed form. We analyze two structures: i) the encoder is constrained to be linear where we show that the optimal transform is product of matrices including as factor the conditional Karhunen Loéve transform (KLT) of the source given the side information. ii) the encoder consists of linear transformation followed by individual optimal nonlinear mapping of each transform coefficient. Using majorization principles, we show that the optimal transform does not depend on the nonlinearities introduced, as long as they are scale invariant, hence the optimal transform is also a product involving the conditional KLT of the source.
Starting Page	1543
Ending Page	1547
File Size	131088
Page Count	5
File Format	PDF
ISBN	9781467325806
ISSN	21578117
e-ISBN	9781467325790
e-ISBN	9781467325783
DOI	10.1109/ISIT.2012.6283523
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-07-01
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Transforms Signal to noise ratio Delay Decoding Channel coding Vectors zero delay source-channel coding Linear transforms
Content Type	Text
Resource Type	Article

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