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System Identification With Sparse Coprime Sensing

Vaidyanathan, Palghat P. and Pal, Piya (2010) System Identification With Sparse Coprime Sensing. IEEE Signal Processing Letters, 17 (10). pp. 823-826. ISSN 1070-9908. https://resolver.caltech.edu/CaltechAUTHORS:20101101-114635878

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Abstract

Given a continuous time LTI system with impulse response h_c(t), it is shown that the uniformly spaced samples h_c(nT) can be identified for any chosen spacing by using an impulse train input with an arbitrarily small rate 1/NT and sampling the system output with an arbitrarily small rate 1/MT, provided M and N are coprime. This idea, referred to here as the sparse coprime sensing method for system identification, is closely related to well known results in multirate signal processing. It is shown that the problem can be related to the identification of a decimation filter from input-output measurements. It is also shown that the problem is equivalent to the identification of a discrete time N x M LTI system from a knowledge of the full rate input and output vector sequences.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/LSP.2010.2060331DOIUNSPECIFIED
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=5518373PublisherUNSPECIFIED
ORCID:
AuthorORCID
Vaidyanathan, Palghat P.0000-0003-3003-7042
Additional Information:© 2010 IEEE. Manuscript received June 11, 2010; accepted July 12, 2010. Date of publication July 23, 2010; date of current version August 09, 2010. This work was supported in part by the Office of Naval Research Grant N00014-08-1-0709, and by the the California Institute of Technology. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Jared W. Tanner.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-08-1-0709
CaltechUNSPECIFIED
Subject Keywords:Coprime sampling, sparse sampling, system identification.
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INSPEC Accession Number11463978
Issue or Number:10
Record Number:CaltechAUTHORS:20101101-114635878
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20101101-114635878
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20622
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:01 Nov 2010 21:13
Last Modified:09 Mar 2020 13:19

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