NDLI: Codebook information does not reduce output entropy when rate is above capacity

Content Provider	IEEE Xplore Digital Library
Author	Xiugang Wu Liang-Liang Xie
Copyright Year	2010
Description	Author affiliation: Department of Electrical and Computer Engineering, University of Waterloo, ON, Canada N2L 3G1 (Xiugang Wu; Liang-Liang Xie)
Abstract	Under the standard random coding framework, the conditional entropy rate of the channel output given the codebook information is investigated. It is shown that there exists an interesting dichotomy: with respect to the unconditional entropy rate of the output, this conditional entropy rate is reduced when the communication rate is below the channel capacity, but remains the same when the communication rate is above the channel capacity. Hence, the channel capacity plays a role of the critical point. Shannon used the random codebook argument to prove that any communication rate below the channel capacity is achievable, i.e., the destination can successfully decode the transmitted codeword based on the codebook used at the source. However, this cannot be done when the communication rate is above the channel capacity. In this case, our evaluation shows that the codebook information cannot be used to reduce the output entropy rate, and instead, the output entropy rate turns to be the same as if a completely random, instead of a specific codebook, was used at the source. This characterization of the conditional entropy rate sheds some light on the optimal design of the compress-and-forward relay schemes, where a long standing question is whether the source's codebook information can be used for more effective compressions at the relay. In this paper, specifically, we show that if lossless compression is to be performed, then the codebook information cannot be used to reduce the compression rate at the relay.
Starting Page	1496
Ending Page	1501
File Size	728718
Page Count	6
File Format	PDF
ISBN	9781424482153
e-ISBN	9781424482160
DOI	10.1109/ALLERTON.2010.5707090
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-09-29
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Channel capacity Artificial neural networks Entropy Encoding Decoding Relays Zinc
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in