Fast algorithms for phase and magnitude reconstruction from bispectra

Soheil A. Dianat; Raghuveer M. Rao

doi:10.1117/12.55619

1 May 1990 Fast algorithms for phase and magnitude reconstruction from bispectra

Soheil A. Dianat, Raghuveer M. Rao

Author Affiliations +

Optical Engineering, Vol. 29, Issue 5, (May 1990). https://doi.org/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.

Citation Download Citation

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

Published: 1 May 1990

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