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Coprime Sampling and the Music Algorithm

Pal, Piya and Vaidyanathan, P. P. (2011) Coprime Sampling and the Music Algorithm. In: 2011 IEEE Digital Signal Processing Workshop/IEEE Signal Processing Education Workshop (DSP/SPE). IEEE , Piscataway, NJ, pp. 289-294. ISBN 978-1-61284-226-4. https://resolver.caltech.edu/CaltechAUTHORS:20120416-080128658

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Abstract

A new approach to super resolution line spectrum estimation in both temporal and spatial domain using a coprime pair of samplers is proposed. Two uniform samplers with sample spacings MT and NT are used where M and N are coprime and T has the dimension of space or time. By considering the difference set of this pair of sample spacings (which arise naturally in computation of second order moments), sample locations which are O(MN) consecutive multiples of T can be generated using only O(M + N) physical samples. In order to efficiently use these O(MN) virtual samples for super resolution spectral estimation, a novel algorithm based on the idea of spatial smoothing is proposed, which can be used for estimating frequencies of sinusoids buried in noise as well as for estimating Directions-of-Arrival (DOA) of impinging signals on a sensor array. This technique allows us to construct a suitable positive semidefinite matrix on which subspace based algorithms like MUSIC can be applied to detect O(MN) spectral lines using only O(M + N) physical samples.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/ 10.1109/DSP-SPE.2011.5739227DOIUNSPECIFIED
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=5739227PublisherUNSPECIFIED
Additional Information:© 2011 IEEE. Date of Current Version: 24 March 2011. This work was supported in parts by the ONR grant N00014-08-1-0709, and the California Institute of Technology.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-08-1-0709
CaltechUNSPECIFIED
Subject Keywords:DOA estimation, co-arrays, coprime sampling, spatial smoothing
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INSPEC Accession Number11887163
Record Number:CaltechAUTHORS:20120416-080128658
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20120416-080128658
Official Citation:Pal, P.; Vaidyanathan, P.P.; , "Coprime sampling and the music algorithm," Digital Signal Processing Workshop and IEEE Signal Processing Education Workshop (DSP/SPE), 2011 IEEE , vol., no., pp.289-294, 4-7 Jan. 2011 doi: 10.1109/DSP-SPE.2011.5739227 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5739227&isnumber=5739176
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:30089
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:16 Apr 2012 15:23
Last Modified:03 Oct 2019 03:47

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