Instantaneous frequency estimation of polynomial phase signals using local polynomial wigner-ville distribution

Pu Wang, Hongbin Li, Braham Himed

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

9 Scopus citations

Abstract

This paper makes use of local polynomial Wigner-Ville distribution (LPWVD), originally designed for nonparametric instantaneous frequency (IF) estimation of transient signals, to propose a parametric IF estimation for polynomial phase signals (PPSs). Statistical performance such as asymptotic bias and variance of the LP-WVD-based parametric IF estimator is derived in closed-form. Based on the analytical results, we extend the statistical efficiency of the Wigner-Ville distribution (WVD) for a second-order PPS only to that of the LPWVD for an arbitrary order, when the IF is estimated at the middle of sample observations. Simulation results verify the analytical performance and comparisons with the polynomial Wigner-Ville distribution (PWVD) show that the LPWVD-based parametric IF estimator can provide better performance.

Original languageEnglish
Title of host publicationProceedings - 2010 12th International Conference on Electromagnetics in Advanced Applications, ICEAA'10
Pages184-187
Number of pages4
DOIs
StatePublished - 2010
Event2010 12th International Conference on Electromagnetics in Advanced Applications, ICEAA'10 - Sydney, NSW, Australia
Duration: 20 Sep 201024 Sep 2010

Publication series

NameProceedings - 2010 12th International Conference on Electromagnetics in Advanced Applications, ICEAA'10

Conference

Conference2010 12th International Conference on Electromagnetics in Advanced Applications, ICEAA'10
Country/TerritoryAustralia
CitySydney, NSW
Period20/09/1024/09/10

Keywords

  • Instantaneous frequency
  • Parametric method
  • Polynomial-phase signal

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