On the design of a quantizer for coded systems

Ephraim Zehavi

doi:10.1109/ISIT.1991.695089

On the design of a quantizer for coded systems

Ephraim Zehavi

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

Abstract

For any coded system the optimal decoder has to use a metric which is proportional to the log likelihood-ratio of the channel. To simplify the decoding process, the metric is required to have an additivity property, and to take on values from a finite set which are not always matched to the channel. The Generalized R₀ (GR) in this case is a function of the decoder set of metrics, the channel transition probabilities, and the partition of the received signal space to finite decision regions which is done by the quantizer. Here, an optimal quantizer, in the sense of maximizing GR, under metric constraint is derived. An iterative procedure for finding the optimal quantization boundaries is introduced.

Original language	English
Title of host publication	Proceedings - 1991 IEEE International Symposium on Information Theory, ISIT 1991
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	36
Number of pages	1
ISBN (Electronic)	0780300564
DOIs	https://doi.org/10.1109/ISIT.1991.695089
State	Published - 1991
Externally published	Yes
Event	1991 IEEE International Symposium on Information Theory, ISIT 1991 - Budapest, Hungary Duration: 24 Jun 1991 → 28 Jun 1991

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
ISSN (Print)	2157-8095

Conference

Conference	1991 IEEE International Symposium on Information Theory, ISIT 1991
Country/Territory	Hungary
City	Budapest
Period	24/06/91 → 28/06/91

Bibliographical note

Publisher Copyright:
© 1991 Institute of Electrical and Electronics Engineers Inc. All rights reserved.

Access to Document

10.1109/ISIT.1991.695089

Cite this

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title = "On the design of a quantizer for coded systems",

abstract = "For any coded system the optimal decoder has to use a metric which is proportional to the log likelihood-ratio of the channel. To simplify the decoding process, the metric is required to have an additivity property, and to take on values from a finite set which are not always matched to the channel. The Generalized R0 (GR) in this case is a function of the decoder set of metrics, the channel transition probabilities, and the partition of the received signal space to finite decision regions which is done by the quantizer. Here, an optimal quantizer, in the sense of maximizing GR, under metric constraint is derived. An iterative procedure for finding the optimal quantization boundaries is introduced.",

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doi = "10.1109/ISIT.1991.695089",

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Zehavi, E 1991, On the design of a quantizer for coded systems. in Proceedings - 1991 IEEE International Symposium on Information Theory, ISIT 1991., 695089, IEEE International Symposium on Information Theory - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 36, 1991 IEEE International Symposium on Information Theory, ISIT 1991, Budapest, Hungary, 24/06/91. https://doi.org/10.1109/ISIT.1991.695089

On the design of a quantizer for coded systems. / Zehavi, Ephraim.
Proceedings - 1991 IEEE International Symposium on Information Theory, ISIT 1991. Institute of Electrical and Electronics Engineers Inc., 1991. p. 36 695089 (IEEE International Symposium on Information Theory - Proceedings).

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

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On the design of a quantizer for coded systems

Abstract

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Bibliographical note

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