Polynomial phase differencing algorithm for 2-D phase unwrapping: performance analysis

Joseph M. Francos, Benjamin Friedlander

Research output: Contribution to journalConference articlepeer-review


We consider non-homogeneous 2-D signals which can be represented by a constant modulus polynomial-phase model. In previous papers we developed a computationally efficient estimation algorithm for the parameters of this model, and a novel phase unwrapping method which is based on this estimation algorithm. In this paper we analyze the performance of the algorithm and derive expressions for the mean squared error of the estimated coefficients. Assuming high signal to noise ratio (SNR), we show that the estimates are unbiased, and derive a rule of optimal selection of the algorithm parameters. The theoretical results are verified by Monte-Carlo simulations for selected examples. Finally, we present an approximate error analysis of the estimates for an arbitrary SNR. This analysis is carried out for a specific set of the algorithm parameters, which is selected based on the high SNR analysis.

Original languageEnglish
Pages (from-to)2411-2414
Number of pages4
JournalProceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing
StatePublished - 1 Jan 1996
EventProceedings of the 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP. Part 1 (of 6) - Atlanta, GA, USA
Duration: 7 May 199610 May 1996

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering


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