ANALYSIS of discretization errors in if estimation of polynomial phase signals

L. Rankine, M. Mesbah, B. Boashash

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

Abstract

The peak of the polynomial Wigner-Ville distribution (PWVD) is a method for providing an unbiased estimate of the instantaneous frequency (IF) for polynomial phase signals. The theoretical lower variance bound, assuming a continuous frequency variable, has been studied previously in [1]. However, due to the discretization of the PWVD required for computer implementation, there is also another theoretical lower variance bound which is a result of the discretization error. In this paper, we study the relationship between the discretization error bound and the theoretical lower variance bound and determine the minimum number of frequency samples required such that the theoretical lower variance bound can be attained.

Original languageEnglish
Title of host publication2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings
DOIs
Publication statusPublished - 2007
Event2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007 - Sharjah, United Arab Emirates
Duration: Feb 12 2007Feb 15 2007

Other

Other2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007
CountryUnited Arab Emirates
CitySharjah
Period2/12/072/15/07

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Wigner-Ville distribution
Polynomials

ASJC Scopus subject areas

  • Signal Processing

Cite this

Rankine, L., Mesbah, M., & Boashash, B. (2007). ANALYSIS of discretization errors in if estimation of polynomial phase signals. In 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings [4555300] https://doi.org/10.1109/ISSPA.2007.4555300

ANALYSIS of discretization errors in if estimation of polynomial phase signals. / Rankine, L.; Mesbah, M.; Boashash, B.

2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings. 2007. 4555300.

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

Rankine, L, Mesbah, M & Boashash, B 2007, ANALYSIS of discretization errors in if estimation of polynomial phase signals. in 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings., 4555300, 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Sharjah, United Arab Emirates, 2/12/07. https://doi.org/10.1109/ISSPA.2007.4555300
Rankine L, Mesbah M, Boashash B. ANALYSIS of discretization errors in if estimation of polynomial phase signals. In 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings. 2007. 4555300 https://doi.org/10.1109/ISSPA.2007.4555300
Rankine, L. ; Mesbah, M. ; Boashash, B. / ANALYSIS of discretization errors in if estimation of polynomial phase signals. 2007 9th International Symposium on Signal Processing and its Applications, ISSPA 2007, Proceedings. 2007.
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