Achieving the Gaussian rate-distortion function by prediction

Ram Zamir; Yuval Kochman; Uri Erez

doi:10.1109/ISIT.2006.261724

Achieving the Gaussian rate-distortion function by prediction

Ram Zamir^*, Yuval Kochman, Uri Erez

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 Scopus citations

Abstract

The "water-filling" solution for the quadratic ratedistortion function of a stationary Gaussian source is given in terms of its power spectrum. This formula naturally lends itself to a frequency domain "test-channel" realization. We provide an alternative time-domain realization for the rate-distortion function, based on linear prediction. This solution has some interesting implications, including the optimality at all distortion levels of pre/post filtered vector-quantized differential pulse code modulation (DPCM), and a duality relationship with decisionfeedback equalization (DFE) for inter-symbol interference (ISI) channels.

Original language	English
Title of host publication	Proceedings - 2006 IEEE International Symposium on Information Theory, ISIT 2006
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	803-807
Number of pages	5
ISBN (Print)	1424405041, 9781424405046
DOIs	https://doi.org/10.1109/ISIT.2006.261724
State	Published - 2006
Externally published	Yes
Event	2006 IEEE International Symposium on Information Theory, ISIT 2006 - Seattle, WA, United States Duration: 9 Jul 2006 → 14 Jul 2006

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
ISSN (Print)	2157-8101

Conference

Conference	2006 IEEE International Symposium on Information Theory, ISIT 2006
Country/Territory	United States
City	Seattle, WA
Period	9/07/06 → 14/07/06

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10.1109/ISIT.2006.261724

Cite this

Zamir, R., Kochman, Y., & Erez, U. (2006). Achieving the Gaussian rate-distortion function by prediction. In Proceedings - 2006 IEEE International Symposium on Information Theory, ISIT 2006 (pp. 803-807). Article 4036074 (IEEE International Symposium on Information Theory - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2006.261724

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title = "Achieving the Gaussian rate-distortion function by prediction",

abstract = "The {"}water-filling{"} solution for the quadratic ratedistortion function of a stationary Gaussian source is given in terms of its power spectrum. This formula naturally lends itself to a frequency domain {"}test-channel{"} realization. We provide an alternative time-domain realization for the rate-distortion function, based on linear prediction. This solution has some interesting implications, including the optimality at all distortion levels of pre/post filtered vector-quantized differential pulse code modulation (DPCM), and a duality relationship with decisionfeedback equalization (DFE) for inter-symbol interference (ISI) channels.",

author = "Ram Zamir and Yuval Kochman and Uri Erez",

year = "2006",

doi = "10.1109/ISIT.2006.261724",

language = "אנגלית",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "803--807",

booktitle = "Proceedings - 2006 IEEE International Symposium on Information Theory, ISIT 2006",

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note = "2006 IEEE International Symposium on Information Theory, ISIT 2006 ; Conference date: 09-07-2006 Through 14-07-2006",

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Zamir, R, Kochman, Y & Erez, U 2006, Achieving the Gaussian rate-distortion function by prediction. in Proceedings - 2006 IEEE International Symposium on Information Theory, ISIT 2006., 4036074, IEEE International Symposium on Information Theory - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 803-807, 2006 IEEE International Symposium on Information Theory, ISIT 2006, Seattle, WA, United States, 9/07/06. https://doi.org/10.1109/ISIT.2006.261724

Achieving the Gaussian rate-distortion function by prediction. / Zamir, Ram; Kochman, Yuval; Erez, Uri.
Proceedings - 2006 IEEE International Symposium on Information Theory, ISIT 2006. Institute of Electrical and Electronics Engineers Inc., 2006. p. 803-807 4036074 (IEEE International Symposium on Information Theory - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - The "water-filling" solution for the quadratic ratedistortion function of a stationary Gaussian source is given in terms of its power spectrum. This formula naturally lends itself to a frequency domain "test-channel" realization. We provide an alternative time-domain realization for the rate-distortion function, based on linear prediction. This solution has some interesting implications, including the optimality at all distortion levels of pre/post filtered vector-quantized differential pulse code modulation (DPCM), and a duality relationship with decisionfeedback equalization (DFE) for inter-symbol interference (ISI) channels.

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Achieving the Gaussian rate-distortion function by prediction

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