Analysis of Mismatched Estimation Errors Using Gradients of Partition Functions

Wasim Huleihel; Neri Merhav

doi:10.3929/ethz-a-010094593

Analysis of Mismatched Estimation Errors Using Gradients of Partition Functions

Wasim Huleihel, Neri Merhav

Technion - Israel Institute of Technology

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

Abstract

We consider the problem of signal estimation (denoising) from a statistical-mechanical perspective, in continuation
to a recent work on the analysis of mean-square error (MSE)
estimation using a direct relationship between optimum estimation and certain partition functions. Accordingly, we derive a
single-letter expressions of the MMSE and mismatched MSE of
a codeword (from a randomly selected code), corrupted by a
Gaussian vector channel, and we provide several examples to
demonstrate phase transitions in the behavior of the MSE.

Original language	English
Title of host publication	International Zurich Seminar on Communications
Subtitle of host publication	IZS
Place of Publication	Zürich
Number of pages	4
DOIs	https://doi.org/10.3929/ethz-a-010094593
State	Published - 2014
Event	23th International Zurich Seminar on Communications - Zurich Duration: 26 Feb 2014 → 28 Feb 2014 Conference number: 14 https://www.izs.ethz.ch/2014/

Conference

Conference	23th International Zurich Seminar on Communications
Abbreviated title	IZS
City	Zurich
Period	26/02/14 → 28/02/14
Internet address	https://www.izs.ethz.ch/2014/

Keywords

COMMUNICATIONS MANAGEMENT (OPERATING SYSTEMS)
KOMMUNIKATIONSVERWALTUNG (BETRIEBSSYSTEME)
SIGNAL TRANSMISSION + DATA COMMUNICATION (TELECOMMUNICATIONS)
SIGNALÜBERTRAGUNG + DATENKOMMUNIKATION (NACHRICHTENTECHNIK)

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10.3929/ethz-a-010094593

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title = "Analysis of Mismatched Estimation Errors Using Gradients of Partition Functions",

abstract = "We consider the problem of signal estimation (denoising) from a statistical-mechanical perspective, in continuationto a recent work on the analysis of mean-square error (MSE)estimation using a direct relationship between optimum estimation and certain partition functions. Accordingly, we derive asingle-letter expressions of the MMSE and mismatched MSE ofa codeword (from a randomly selected code), corrupted by aGaussian vector channel, and we provide several examples todemonstrate phase transitions in the behavior of the MSE.",

keywords = "COMMUNICATIONS MANAGEMENT (OPERATING SYSTEMS), KOMMUNIKATIONSVERWALTUNG (BETRIEBSSYSTEME), SIGNAL TRANSMISSION + DATA COMMUNICATION (TELECOMMUNICATIONS), SIGNAL{\"U}BERTRAGUNG + DATENKOMMUNIKATION (NACHRICHTENTECHNIK)",

author = "Wasim Huleihel and Neri Merhav",

note = "23th International Zurich Seminar on Communications (IZS 2014); Conference Location: Zurich, Switzerland; Conference Date: February 26-28, 2014; 23th International Zurich Seminar on Communications ; Conference date: 26-02-2014 Through 28-02-2014",

year = "2014",

doi = "10.3929/ethz-a-010094593",

language = "الإنجليزيّة",

booktitle = "International Zurich Seminar on Communications",

url = "https://www.izs.ethz.ch/2014/",

}

TY - GEN

T1 - Analysis of Mismatched Estimation Errors Using Gradients of Partition Functions

AU - Huleihel, Wasim

AU - Merhav, Neri

N1 - Conference code: 14

PY - 2014

Y1 - 2014

N2 - We consider the problem of signal estimation (denoising) from a statistical-mechanical perspective, in continuationto a recent work on the analysis of mean-square error (MSE)estimation using a direct relationship between optimum estimation and certain partition functions. Accordingly, we derive asingle-letter expressions of the MMSE and mismatched MSE ofa codeword (from a randomly selected code), corrupted by aGaussian vector channel, and we provide several examples todemonstrate phase transitions in the behavior of the MSE.

AB - We consider the problem of signal estimation (denoising) from a statistical-mechanical perspective, in continuationto a recent work on the analysis of mean-square error (MSE)estimation using a direct relationship between optimum estimation and certain partition functions. Accordingly, we derive asingle-letter expressions of the MMSE and mismatched MSE ofa codeword (from a randomly selected code), corrupted by aGaussian vector channel, and we provide several examples todemonstrate phase transitions in the behavior of the MSE.

KW - COMMUNICATIONS MANAGEMENT (OPERATING SYSTEMS)

KW - KOMMUNIKATIONSVERWALTUNG (BETRIEBSSYSTEME)

KW - SIGNAL TRANSMISSION + DATA COMMUNICATION (TELECOMMUNICATIONS)

KW - SIGNALÜBERTRAGUNG + DATENKOMMUNIKATION (NACHRICHTENTECHNIK)

U2 - 10.3929/ethz-a-010094593

DO - 10.3929/ethz-a-010094593

M3 - منشور من مؤتمر

BT - International Zurich Seminar on Communications

CY - Zürich

T2 - 23th International Zurich Seminar on Communications

Y2 - 26 February 2014 through 28 February 2014

ER -

Analysis of Mismatched Estimation Errors Using Gradients of Partition Functions

Abstract

Conference

Keywords

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