• DocumentCode
    3835910
  • Title

    Performance of Instantaneous Frequency Rate Estimation Using High-Order Phase Function

  • Author

    Pu Wang;Hongbin Li;Igor Djurovic;Braham Himed

  • Author_Institution
    Department of Electrical and Computer Engineering, Stevens Institute of Technology, Hoboken, NJ, USA
  • Volume
    58
  • Issue
    4
  • fYear
    2010
  • fDate
    4/1/2010 12:00:00 AM
  • Firstpage
    2415
  • Lastpage
    2421
  • 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 Cramer-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.
  • Keywords
    "Frequency estimation","Phase estimation","Polynomials","Acceleration","Radar applications","Signal analysis","Passive radar","Sonar applications","Acoustic applications","Chirp"
  • Journal_Title
    IEEE Transactions on Signal Processing
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/TSP.2009.2034939
  • Filename
    5290077