Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Phase and amplitude recovery from bispectra

Not Accessible

Your library or personal account may give you access

Abstract

The bispectrum is the Fourier transform of the triple correlation, sometimes also referred to as triple product integral. We are concerned here with the bispectrum of the autotriple correlation. Bispectrum analysis can be used to solve phase problems in signal processing, since the knowledge of the bispectrum of a signal usually allows one to reconstruct both amplitude and phase of the Fourier transform signal. We present mathematical proof based on the theory of analytic functions and discuss the restrictions involved. A recursive algorithm is outlined for the reconstruction from sampled data. In addition, possibilities for noise reduction by averaging redundant information will be described. Examples are included for 1-D signals.

© 1984 Optical Society of America

Full Article  |  PDF Article
More Like This
Bispectral analysis at low light levels and astronomical speckle masking

B. Wirnitzer
J. Opt. Soc. Am. A 2(1) 14-21 (1985)

Least-squares phase recovery from the bispectrum phase: an algorithm for a two-dimensional object

Hiroaki Takajo and Tohru Takahashi
J. Opt. Soc. Am. A 8(7) 1038-1047 (1991)

Bispectral magnitude and phase recovery using a wide bandwidth acousto-optic processor

Stacy K. Kniffen, Michael F. Becker, and Edward J. Powers
Appl. Opt. 31(8) 1015-1029 (1992)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (7)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (2)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (37)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved