Performance of instantaneous frequency rate estimation using high-order phase function

Pu Wang, Hongbin Li, Igor Djurović, Braham Himed

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

The high-order phase function (HPF) is a useful tool to estimate the instantaneous frequency rate (IFR) of a signal with a polynomial phase. In this paper, the asymptotic bias and variance of the IFR estimate using the HPF are derived in closed-forms for the polynomial phase signal with an arbitrary order. The Cramr-Rao bounds (CRBs) for IFR estimation, in both exact and asymptotic forms, are obtained and compared with the asymptotic mean-square error (MSE) of the HPF-based IFR estimator. Simulations are provided to verify our theoretical results.

Original languageEnglish
Article number5290077
Pages (from-to)2415-2421
Number of pages7
JournalIEEE Transactions on Signal Processing
Volume58
Issue number4
DOIs
StatePublished - Apr 2010

Keywords

  • Cramé'r-Rao bound (CRB)
  • High-order phase function (HPF)
  • Polynomial-phase signals

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