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When Does Periodicity in Discrete-Time Imply that in Continuous-Time?

Vaidyanathan, P. P. and Tenneti, Srikanth (2018) When Does Periodicity in Discrete-Time Imply that in Continuous-Time? In: 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE , Piscataway, NJ, pp. 4544-4548. ISBN 978-1-5386-4658-8. http://resolver.caltech.edu/CaltechAUTHORS:20181025-113900814

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Abstract

If the sampled version x(n)=x_c(nT) of a continuous-time signal x_c(t) is periodic, it does not necessarily imply that x_c(t) is periodic. This paper presents some conditions under which periodicity of x_c(t) is indeed implied. The conditions for this implication are more relaxed than bandlimitedness. The results place in evidence a multriate method to estimate the period of x_c(t) from the samples x(n). The method works better than DFT based methods when the available data segment is short and multiple hidden periods are to be estimated.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/ICASSP.2018.8461996DOIArticle
ORCID:
AuthorORCID
Tenneti, Srikanth0000-0002-5415-3681
Additional Information:© 2018 IEEE. This work was supported in parts by the ONR grants N00014-15-1-2118 and N00014-17-1-2732, the NSF grant CCF-1712633, and the California Institute of Technology.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-15-1-2118
Office of Naval Research (ONR)N00014-17-1-2732
NSFCCF-1712633
CaltechUNSPECIFIED
Subject Keywords:Periodicity, multirate sampling, bandlimited signal, Ramanujan sums
Record Number:CaltechAUTHORS:20181025-113900814
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20181025-113900814
Official Citation:P. P. Vaidyanathan and S. Tenneti, "When Does Periodicity in Discrete-Time Imply that in Continuous-Time?," 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Calgary, AB, 2018, pp. 4544-4548. doi: 10.1109/ICASSP.2018.8461996
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:90418
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:25 Oct 2018 20:21
Last Modified:25 Oct 2018 20:21

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