Additive noise channels with side information at the transmitter

Uri Erez; Ram Zamir; Shlomo Shamai

doi:10.1109/EEEI.2000.924437

Additive noise channels with side information at the transmitter

Uri Erez^*, Ram Zamir, Shlomo Shamai

^*Corresponding author for this work

School of Electrical Engineering

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

Abstract

Consider the optimum strategy for using channel state ("side") information in transmission over a moduloadditive noise channel, where the receiver does not have access to the side information. Recent work showed that capacity-wise, the optimum transmitter shifts each code letter by a "prediction" of the noise sample based on the side information. We show that this structure achieves also the random-coding error exponent, and therefore is optimum at some range of rates below capacity. Specifically, the optimum transmitter-predictor minimizes the Rényi entropy of the prediction error; the Rényi order depends on the rate, and goes to one (corresponding to Shannon entropy) for rates close to capacity. We also consider the problem of coding with side information at the transmitter subject to a power constraint.

Original language	English
Title of host publication	21st IEEE Convention of the Electrical and Electronic Engineers in Israel, Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	373-376
Number of pages	4
ISBN (Electronic)	0780358422, 9780780358423
DOIs	https://doi.org/10.1109/EEEI.2000.924437
State	Published - 2000
Event	21st IEEE Convention of the Electrical and Electronic Engineers in Israel, IEEEI 2000 - Tel-Aviv, Israel Duration: 11 Apr 2000 → 12 Apr 2000

Publication series

Name	21st IEEE Convention of the Electrical and Electronic Engineers in Israel, Proceedings

Conference

Conference	21st IEEE Convention of the Electrical and Electronic Engineers in Israel, IEEEI 2000
Country/Territory	Israel
City	Tel-Aviv
Period	11/04/00 → 12/04/00

Access to Document

10.1109/EEEI.2000.924437

Cite this

Erez, U., Zamir, R., & Shamai, S. (2000). Additive noise channels with side information at the transmitter. In 21st IEEE Convention of the Electrical and Electronic Engineers in Israel, Proceedings (pp. 373-376). [924437] (21st IEEE Convention of the Electrical and Electronic Engineers in Israel, Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/EEEI.2000.924437

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abstract = "Consider the optimum strategy for using channel state ({"}side{"}) information in transmission over a moduloadditive noise channel, where the receiver does not have access to the side information. Recent work showed that capacity-wise, the optimum transmitter shifts each code letter by a {"}prediction{"} of the noise sample based on the side information. We show that this structure achieves also the random-coding error exponent, and therefore is optimum at some range of rates below capacity. Specifically, the optimum transmitter-predictor minimizes the R{\'e}nyi entropy of the prediction error; the R{\'e}nyi order depends on the rate, and goes to one (corresponding to Shannon entropy) for rates close to capacity. We also consider the problem of coding with side information at the transmitter subject to a power constraint.",

author = "Uri Erez and Ram Zamir and Shlomo Shamai",

note = "Publisher Copyright: {\textcopyright} 2002 IEEE.; 21st IEEE Convention of the Electrical and Electronic Engineers in Israel, IEEEI 2000 ; Conference date: 11-04-2000 Through 12-04-2000",

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Erez, U , Zamir, R & Shamai, S 2000, Additive noise channels with side information at the transmitter. in 21st IEEE Convention of the Electrical and Electronic Engineers in Israel, Proceedings., 924437, 21st IEEE Convention of the Electrical and Electronic Engineers in Israel, Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 373-376, 21st IEEE Convention of the Electrical and Electronic Engineers in Israel, IEEEI 2000, Tel-Aviv, Israel, 11/04/00. https://doi.org/10.1109/EEEI.2000.924437

Additive noise channels with side information at the transmitter. / Erez, Uri ; Zamir, Ram; Shamai, Shlomo.
21st IEEE Convention of the Electrical and Electronic Engineers in Israel, Proceedings. Institute of Electrical and Electronics Engineers Inc., 2000. p. 373-376 924437 (21st IEEE Convention of the Electrical and Electronic Engineers in Israel, Proceedings).

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

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Erez U , Zamir R, Shamai S. Additive noise channels with side information at the transmitter. In 21st IEEE Convention of the Electrical and Electronic Engineers in Israel, Proceedings. Institute of Electrical and Electronics Engineers Inc. 2000. p. 373-376. 924437. (21st IEEE Convention of the Electrical and Electronic Engineers in Israel, Proceedings). doi: 10.1109/EEEI.2000.924437

Additive noise channels with side information at the transmitter

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