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Least-squares Fourier phase estimation from the modulo 2Pi bispectrum phase

Haniff, Christopher A. (1991) Least-squares Fourier phase estimation from the modulo 2Pi bispectrum phase. Journal of the Optical Society of America A, 8 (1). pp. 134-140. ISSN 1084-7529.

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The recovery of Fourier phases from measurements of the bispectrum occupies a vital role in many astronomical speckle imaging schemes. In arecent paper [J. Opt. Soc. Am. A 7, 14 (1990)] it was suggested that a least-squares solution to this problem must fail if the bispectrum phase is known only modulo 2π. Here an alternative nonlinear least-squares algorithm is presented that differs from the linear method discussed in the aforementioned paper and that permits the fitting of Fourier phases directly to modulo 2π measurements of the bispectrum phase, thus eliminating any need for phase unwrapping. Numerical simulations of this method confirm that it is reliable and robust in the presence of noise and verify its enhanced performance when compared with a linear least-squares method that includes the unwrapping of the bispectral phase before Fourier phase retrieval.

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Additional Information:© Copyright 1991 Optical Society of America Received April 25, 1990; accepted August 14, 1990 Andrea Ghez, Peter Gorham, Shri Kulkarni, and Dave Buscher are all thanked for their critical reading of the manuscript.
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Record Number:CaltechAUTHORS:HANjosaa91
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5232
Deposited By: Archive Administrator
Deposited On:05 Oct 2006
Last Modified:02 Oct 2019 23:20

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