Instantaneous frequency rate estimation for high-order polynomial-phase signal

  • Authors:
  • Pu Wang;Hongbin Li;Igor Djurovic;Jianyu Yang

  • Affiliations:
  • School of Electronic Engineering, Univ. of Elec. Sci. and Tech of China, Chengdu 610054, China;Department of ECE, Stevens Institute of Technology, Hoboken, NJ 07030, USA;Electrical Engineering Department, University of Montenegro, Podgorica 81000, Montenegro;School of Electronic Engineering, Univ. of Elec. Sci. and Tech of China, Chengdu 610054, China

  • Venue:
  • ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
  • Year:
  • 2009

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Abstract

For a high-order polynomial-phase signal (PPS), instantaneous frequency rate (IFR), which is defined as the second derivative of the phase, is estimated by using an estimator with only a second-order nonlinearity. Compared to high-order phase function (HPF), the proposed IFR estimator presents improved performance including smaller mean-squared error (MSE) and lower SNR threshold. Statistical analysis via a multivariate first-order perturbation analysis is derived for the estimate bias and MSE. Numerical results verify our analytical results.