NDLI: Robust capacity of white Gaussian noise channels with uncertainty

Content Provider	IEEE Xplore Digital Library
Author	Charalambous, C.D. Denic, S.Z. Djouadi, S.M.
Copyright Year	2004
Description	Author affiliation: Sch. of Inf. Technol. & Eng., Ottawa Univ., Ont., Canada (Charalambous, C.D.)
Abstract	This paper concerns the problem of defining, and computing the channel capacity of a continuous time additive white Gaussian noise channel when the true frequency response of the channel is not completely known to the transmitter, and receiver, and when a transmitted signal is a wide sense stationary process constrained in power. To represent the uncertainty of a true frequency response two basic uncertainty models are used that are borrowed from the control theory. additive; and multiplicative. Here, the true frequency response although unknown, belongs to a ball in a normed linear space. The radius of the ball is a function of frequency; and it depends on the size of the uncertainty. The channel capacity, called robust capacity is defined as a max-min of the mutual information rate, where the maximum is over all power spectral densities of the input signal with constrained power, and minimum is over the uncertainty set of frequency response. The robust capacity formula is explicitly computed describing how the channel uncertainty reduces the capacity. The water-filling formula is derived showing how the optimal transmitted power changes with uncertainty. At the end it is shown that a channel coding theorem, and its converse under certain conditions imposed on the uncertainty set hold for the robust maximum capacity.
Starting Page	4880
Ending Page	4884
File Size	129383
Page Count	5
File Format	PDF
ISBN	0780386825
ISSN	01912216
DOI	10.1109/CDC.2004.1429570
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-12-14
Publisher Place	Bahamas
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Noise robustness Gaussian noise Uncertainty Frequency response Channel capacity Additive white noise Transmitters Signal processing Control theory Mutual information
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

Robust capacity of a Gaussian noise channel with channel and noise uncertainty

Capacity of Wireless Systems with Channel Estimation Errors

The Gaussian Channel with Noisy Feedback

Information capacity of time-continuous channels

Achieving probabilistic robustness for multiuser SIMO uplink with Gaussian channel uncertainty

On the pre-log of Gaussian fading relay channels

The Poisson channel with side information

Effect of nonstationarity on radio-mobile channel capacity

Robust capacity for additive colored Gaussian uncertain channels,” preprint, http://www.uottawa.ca/∼ sdenic/colored

Robust capacity of white Gaussian noise channels with uncertainty

Similar Documents

Robust capacity of a Gaussian noise channel with channel and noise uncertainty

Capacity of Wireless Systems with Channel Estimation Errors

The Gaussian Channel with Noisy Feedback

Information capacity of time-continuous channels

Achieving probabilistic robustness for multiuser SIMO uplink with Gaussian channel uncertainty

On the pre-log of Gaussian fading relay channels

The Poisson channel with side information

Effect of nonstationarity on radio-mobile channel capacity

Robust capacity for additive colored Gaussian uncertain channels,” preprint, http://www.uottawa.ca/∼ sdenic/colored

Robust capacity of white Gaussian noise channels with uncertainty