Comments on 'Channel Coding Rate in the Finite Blocklength Regime': On the Quadratic Decaying Property of the Information Rate Function

Cao, MX; Tomamichel, M

Comments on 'Channel Coding Rate in the Finite Blocklength Regime': On the Quadratic Decaying Property of the Information Rate Function

Cao, MX Tomamichel, M

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Publisher:: Institute of Electrical and Electronics Engineers (IEEE)
Publication Type:: Journal Article
Citation:: IEEE Transactions on Information Theory, 2023, 69, (9), pp. 5528-5531
Issue Date:: 2023-09-01

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Field	Value	Language
dc.contributor.author	Cao, MX
dc.contributor.author	Tomamichel, M https://orcid.org/0000-0001-5410-3329
dc.date.accessioned	2024-04-08T19:45:49Z
dc.date.available	2024-04-08T19:45:49Z
dc.date.issued	2023-09-01
dc.identifier.citation	IEEE Transactions on Information Theory, 2023, 69, (9), pp. 5528-5531
dc.identifier.issn	0018-9448
dc.identifier.issn	1557-9654
dc.identifier.uri	http://hdl.handle.net/10453/177593
dc.description.abstract	The quadratic decaying property of the information rate function states that, given a fixed conditional distribution pY\|X , the mutual information between the (finite) discrete random variables X and Y decreases at least quadratically in the Euclidean distance as pX moves away from the capacity-achieving input distributions. It is a property of the information rate function that is particularly useful in the study of higher order asymptotics and finite blocklength information theory, where it was already implicitly used by Strassen (1962) and later, more explicitly, by Polyanskiy-Poor-Verdú (2010). However, the proofs outlined in both works contain gaps that are nontrivial to close. This comment provides an alternative, complete proof of this property.
dc.language	en
dc.publisher	Institute of Electrical and Electronics Engineers (IEEE)
dc.relation.ispartof	IEEE Transactions on Information Theory
dc.relation.isbasedon	10.1109/TIT.2023.3276203
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0801 Artificial Intelligence and Image Processing, 0906 Electrical and Electronic Engineering, 1005 Communications Technologies
dc.subject.classification	Networking & Telecommunications
dc.subject.classification	4006 Communications engineering
dc.subject.classification	4613 Theory of computation
dc.title	Comments on 'Channel Coding Rate in the Finite Blocklength Regime': On the Quadratic Decaying Property of the Information Rate Function
dc.type	Journal Article
utslib.citation.volume	69
utslib.for	0801 Artificial Intelligence and Image Processing
utslib.for	0906 Electrical and Electronic Engineering
utslib.for	1005 Communications Technologies
pubs.organisational-group	University of Technology Sydney
pubs.organisational-group	University of Technology Sydney/Faculty of Engineering and Information Technology
utslib.copyright.status	closed_access	*
dc.date.updated	2024-04-08T19:45:48Z
pubs.issue	9
pubs.publication-status	Published
pubs.volume	69
utslib.citation.issue	9

Abstract:

The quadratic decaying property of the information rate function states that, given a fixed conditional distribution pY|X , the mutual information between the (finite) discrete random variables X and Y decreases at least quadratically in the Euclidean distance as pX moves away from the capacity-achieving input distributions. It is a property of the information rate function that is particularly useful in the study of higher order asymptotics and finite blocklength information theory, where it was already implicitly used by Strassen (1962) and later, more explicitly, by Polyanskiy-Poor-Verdú (2010). However, the proofs outlined in both works contain gaps that are nontrivial to close. This comment provides an alternative, complete proof of this property.

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http://hdl.handle.net/10453/177593