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Optical Engineering

Fast algorithms for phase and magnitude reconstruction from bispectra
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Paper Abstract

Techniques are developed for signal reconstruction from sampIes of the bispectrum of a 1-D or 2-D signal. The phase and magnitude of the Fourier transform of a signal as well as those of the bispectrum are expanded into a series using a set of appropriate basis functions. Reconstruction is achieved by equating coefficients of like terms of these two expansions. The algorithms derive their speed by using a restricted portion of the bispectrum space and by being based on the use of the fast Fourier transform. In addition to detailed theoretical derivations, results of computer simulation are provided.

Paper Details

Date Published: 1 May 1990
PDF: 9 pages
Opt. Eng. 29(5) doi: 10.1117/12.55619
Published in: Optical Engineering Volume 29, Issue 5
Show Author Affiliations
Soheil A. Dianat, Rochester Institute of Technology (United States)
Raghuveer M. Rao, Rochester Institute of Technology (United States)

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