1 May 1990 Fast algorithms for phase and magnitude reconstruction from bispectra
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Optical Engineering, 29(5), (1990). doi:10.1117/12.55619
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.
Soheil A. Dianat, Raghuveer M. Rao, "Fast algorithms for phase and magnitude reconstruction from bispectra," Optical Engineering 29(5), (1 May 1990). http://dx.doi.org/10.1117/12.55619
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KEYWORDS
Reconstruction algorithms

Algorithm development

Fourier transforms

Signal to noise ratio

Electronic filtering

Statistical analysis

Computer simulations

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