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Published April 2018 | public
Book Section - Chapter

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

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

Created:
August 19, 2023
Modified:
October 18, 2023