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

  • Authors:
  • Pu Wang;Hongbin Li;Igor Djurović;Braham Himed

  • Affiliations:
  • Department of Electrical and Computer Engineering, Stevens Institute of Technology, Hoboken, NJ;Department of Electrical and Computer Engineering, Stevens Institute of Technology, Hoboken, NJ;Electrical Engineering Department, University of Montenegro, Podgorica, Montenegro;AFRL, YRT, Dayton, OH

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 2010

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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 Cramér-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.