NDLI: Systematic DFT frames: Principle and eigenvalues structure

Content Provider	IEEE Xplore Digital Library
Author	Vaezi, M. Labeau, F.
Copyright Year	2012
Description	Author affiliation: Department of Electrical and Computer Engineering, McGill University, Montreal, Quebec H3A 2A7, Canada (Vaezi, M.; Labeau, F.)
Abstract	Motivated by a host of recent applications requiring some amount of redundancy, frames are becoming a standard tool in the signal processing toolbox. In this paper, we study a specific class of frames, known as discrete Fourier transform (DFT) codes, and introduce the notion of systematic frames for this class. This is encouraged by application of systematic DFT codes in distributed source coding using DFT codes, a new application for frames. Studying their extreme eigenvalues, we show that, unlike DFT frames, systematic DFT frames are not necessarily tight. Then, we come up with conditions for which these frames can be tight. In either case, the best and worst systematic frames are established from reconstruction error point of view. Eigenvalues of DFT frames, and their subframes, play a pivotal role in this work.
Starting Page	2426
Ending Page	2430
File Size	139157
Page Count	5
File Format	PDF
ISBN	9781467325806
ISSN	21578117
e-ISBN	9781467325790
e-ISBN	9781467325783
DOI	10.1109/ISIT.2012.6283950
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-07-01
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Systematics Discrete Fourier transforms Eigenvalues and eigenfunctions Quantization Generators Vectors Linear matrix inequalities
Content Type	Text
Resource Type	Article

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