Published April 2018
| public
Book Section - Chapter
When Does Periodicity in Discrete-Time Imply that in Continuous-Time?
- Creators
- Vaidyanathan, P. P.
- Tenneti, Srikanth
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.
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.Additional details
- Eprint ID
- 90418
- DOI
- 10.1109/ICASSP.2018.8461996
- Resolver ID
- CaltechAUTHORS:20181025-113900814
- N00014-15-1-2118
- Office of Naval Research (ONR)
- N00014-17-1-2732
- Office of Naval Research (ONR)
- CCF-1712633
- NSF
- Caltech
- Created
-
2018-10-25Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field