mirage

Sampling and reconstruction of sparse signals in fractional fourier domain.

DSpace/Manakin Repository

 

Search DR-NTU


Advanced Search Subject Search

Browse

My Account

Sampling and reconstruction of sparse signals in fractional fourier domain.

Show full item record

Title: Sampling and reconstruction of sparse signals in fractional fourier domain.
Author: Ayush Bhandari.; Pina Marziliano.
Copyright year: 2010
Abstract: Sampling theory for continuous time signals which have a bandlimited representation in fractional Fourier transform (FrFT) domain--a transformation which generalizes the conventional Fourier transform has blossomed in the recent past. The mechanistic principles behind Shannon's sampling theorem for fractional bandlimited (or fractional Fourier bandlimited) signals are the same as for the Fourier domain case i.e. sampling (and reconstruction) in FrFT domain can be seen as an orthogonal projection of a signal onto a subspace of fractional bandlimited signals. As neat as this extension of Shannon's framework is, it inherits the same fundamental limitation that is prevalent in the Fourier regime-what happens if the signals have singularities in the time domain (or the signal has a nonbandlimited spectrum)? In this paper, we propose a uniform sampling and reconstruction scheme for a class of signals which are nonbandlimited in FrFT sense. Specifically, we assume that samples of a smoothed version of a periodic stream of Diracs (which is sparse in time-domain) are accessible. In its parametric form, this signal has a finite number of degrees of freedom per unit time. Based on the representation of this signal in FrFT domain, we derive conditions under which exact recovery of parameters of the signal is possible. Knowledge of these parameters leads to exact reconstruction of the original signal.
Subject: DRNTU::Engineering::Electrical and electronic engineering.
Type: Journal Article
Series/ Journal Title: IEEE signal processing letters
School: School of Electrical and Electronic Engineering
Rights: © 2010 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder. http://www.ieee.org/portal/site This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.
Version: Published version

Files in this item

Files Size Format View
IEEESPL2010SparseSamplingFrFT.pdf 1.160Mb PDF View/Open
   

DOI Query

- Get published version (via Digital Object Identifier)
   

This item appears in the following Collection(s)

Show full item record

Statistics

Total views

All Items Views
Sampling and reconstruction of sparse signals in fractional fourier domain. 374

Total downloads

All Bitstreams Views
IEEESPL2010SparseSamplingFrFT.pdf 248

Top country downloads

Country Code Views
United States of America 93
China 50
India 20
Singapore 14
France 13

Top city downloads

city Views
Mountain View 45
Beijing 22
Cambridge 16
Singapore 13
Hefei 7

Downloads / month

  2014-06 2014-07 2014-08 total
IEEESPL2010SparseSamplingFrFT.pdf 0 0 4 4