System Identification With Sparse Coprime Sensing
- Creators
-
Vaidyanathan, Palghat P.
- Pal, Piya
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.
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.Attached Files
Published - Vaidyanathan2010p11708Ieee_Signal_Proc_Let.pdf
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Additional details
- Eprint ID
- 20622
- Resolver ID
- CaltechAUTHORS:20101101-114635878
- N00014-08-1-0709
- Office of Naval Research (ONR)
- Caltech
- Created
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2010-11-01Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field
- Other Numbering System Name
- INSPEC Accession Number
- Other Numbering System Identifier
- 11463978