Imperial College London

ProfessorDenizGunduz

Faculty of EngineeringDepartment of Electrical and Electronic Engineering

Professor in Information Processing
 
 
 
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Contact

 

+44 (0)20 7594 6218d.gunduz Website

 
 
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Assistant

 

Ms Joan O'Brien +44 (0)20 7594 6316

 
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Location

 

1016Electrical EngineeringSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Sreekumar:2023:10.3390/e25020304,
author = {Sreekumar, S and Gündüz, D},
doi = {10.3390/e25020304},
journal = {Entropy: international and interdisciplinary journal of entropy and information studies},
pages = {1--33},
title = {Distributed hypothesis testing over a noisy channel: error-exponents trade-off},
url = {http://dx.doi.org/10.3390/e25020304},
volume = {25},
year = {2023}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - A two-terminal distributed binary hypothesis testing problem over a noisy channel is studied. The two terminals, called the observer and the decision maker, each has access to n independent and identically distributed samples, denoted by U and V, respectively. The observer communicates to the decision maker over a discrete memoryless channel, and the decision maker performs a binary hypothesis test on the joint probability distribution of (U,V) based on V and the noisy information received from the observer. The trade-off between the exponents of the type I and type II error probabilities is investigated. Two inner bounds are obtained, one using a separation-based scheme that involves type-based compression and unequal error-protection channel coding, and the other using a joint scheme that incorporates type-based hybrid coding. The separation-based scheme is shown to recover the inner bound obtained by Han and Kobayashi for the special case of a rate-limited noiseless channel, and also the one obtained by the authors previously for a corner point of the trade-off. Finally, we show via an example that the joint scheme achieves a strictly tighter bound than the separation-based scheme for some points of the error-exponents trade-off.
AU - Sreekumar,S
AU - Gündüz,D
DO - 10.3390/e25020304
EP - 33
PY - 2023///
SN - 1099-4300
SP - 1
TI - Distributed hypothesis testing over a noisy channel: error-exponents trade-off
T2 - Entropy: international and interdisciplinary journal of entropy and information studies
UR - http://dx.doi.org/10.3390/e25020304
UR - https://www.ncbi.nlm.nih.gov/pubmed/36832670
UR - https://www.mdpi.com/1099-4300/25/2/304
UR - http://hdl.handle.net/10044/1/102919
VL - 25
ER -