Optimal parameter selection in the phase differencing algorithm for 2-D phase estimation

Joseph M. Francos, Benjamin Friedlander

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

A parametric model and a corresponding algorithm for estimating two-dimensional (2-D) phase functions are presented in a previous paper. The performance of the phase estimation algorithm and, hence, the performance of any algorithm that employs it, strongly depends on the choice of the two free parameters of the algorithm. In this correspondence, we systematically analyze the performance of the phase estimation algorithm and derive rules for selecting the algorithm parameters such that the mean squared error in estimating the signal phase is minimized. It is shown analytically and verified using MonteCarlo simulations that this choice of parameters results in unbiased estimates of the phase and spatial frequency functions. The variances of both the estimated phase and frequency functions are very close to the corresponding Cramér-Rao lower bounds.

Original languageEnglish
Pages (from-to)273-279
Number of pages7
JournalIEEE Transactions on Signal Processing
Volume47
Issue number1
DOIs
StatePublished - 1 Dec 1999

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