Characterization of non-uniformly spaced discrete-time signals from their Fourier phase

Andrew J. Siefker, John McDonald, Douglas Cochran

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

Much work has been published on characterization and reconstruction of signals from their Fourier phase and from nonuniformly spaced sample values. In certain applications, the only available measurements of a signal are nonuniformly spaced samples whose Fourier magnitude information is unavailable or known to be corrupted. This paper gives an alternate proof to Shitz's and Zeevi's theorem on unique characterization of nonuniformly spaced discrete-time signals from Fourier phase. They used Logan's theorem on unique determination of a real, band-pass signal from its zero-crossings. This paper employs the more direct approach of representing signals as Weierstrass canonical products. This representation reveals the underlying structure of the signals and illuminates the effects of the hypotheses on them.

Original languageEnglish (US)
Title of host publicationConference Record of the Asilomar Conference on Signals, Systems and Computers
PublisherIEEE
Pages1109-1113
Number of pages5
Volume2
StatePublished - 1997
EventProceedings of the 1996 30th Asilomar Conference on Signals, Systems & Computers. Part 2 (of 2) - Pacific Grove, CA, USA
Duration: Nov 3 1996Nov 6 1996

Other

OtherProceedings of the 1996 30th Asilomar Conference on Signals, Systems & Computers. Part 2 (of 2)
CityPacific Grove, CA, USA
Period11/3/9611/6/96

ASJC Scopus subject areas

  • Hardware and Architecture
  • Signal Processing
  • Electrical and Electronic Engineering

Cite this

Siefker, A. J., McDonald, J., & Cochran, D. (1997). Characterization of non-uniformly spaced discrete-time signals from their Fourier phase. In Conference Record of the Asilomar Conference on Signals, Systems and Computers (Vol. 2, pp. 1109-1113). IEEE.