A polynomial phase parameter estimation-phase unwrapping algorithm

  • Authors:
  • B. J. Slocumb;J. Kitchen

  • Affiliations:
  • Georgia Tech. Res. Inst., Georgia Inst. of Technol., Atlanta, GA, USA;Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA

  • Venue:
  • ICASSP '94 Proceedings of the Acoustics, Speech, and Signal Processing,1994. on IEEE International Conference - Volume 04
  • Year:
  • 1994

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Abstract

This paper describes a new approach for estimating the polynomial phase coefficients of an unknown signal with constant amplitude. Our approach uses linear regression on the unwrapped signal phase, a technique introduced by Tretter (1981) and further developed by Djuric and Kay (see IEEE Trans. on Signal Processing, vol.38, no.12, p.2118-2126, 1990). The proposed technique expands upon the previous work by developing a recursion for conducting the phase unwrapping concurrently with the coefficient estimation. The unwrapping performance is improved because of the use of current coefficient estimates. A secondary result provided by the new algorithm is an instantaneous phase estimate. Simulations show improvements in mean-squared error threshold level of the coefficient estimates over the method of Djuric and Kay.