Phase estimation using the bispectrum and its application to image restoration

Moon Gi Kang, K. T. Lay, A. K. Katsaggelos

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We propose algorithms for estimating the phase of a deterministic signal using its bispectrum. The bispectrum of a signal is the (discrete) Fourier transform of its triple correlation. While second-order statistics (e.g., correlation function, power spectrum, etc.) do not provide any information about the phase of the signal, third-order statistics (e.g., triple correlation, bispectrum, etc.) allow the recovery of the phase of the signal. We show that the applicability of two commonly used algorithms for phase characteristics. We propose algorithms for estimating the phase of arbitrary signals such as images, by taking into account the ambiguity due to the use of the principal value of the phase component. The resulting estimated phase is incorporated into a restoration filter. Image lines and images are used in our experiments to test the effectiveness of the proposed algorithms.

Original languageEnglish
Pages (from-to)976-985
Number of pages10
JournalOptical Engineering
Volume30
Issue number7
DOIs
Publication statusPublished - 1991 Jan 1

Fingerprint

Image reconstruction
restoration
Statistics
estimating
statistics
Power spectrum
Discrete Fourier transforms
Restoration
ambiguity
power spectra
Recovery
recovery
filters
Experiments

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Engineering(all)

Cite this

Kang, Moon Gi ; Lay, K. T. ; Katsaggelos, A. K. / Phase estimation using the bispectrum and its application to image restoration. In: Optical Engineering. 1991 ; Vol. 30, No. 7. pp. 976-985.
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Phase estimation using the bispectrum and its application to image restoration. / Kang, Moon Gi; Lay, K. T.; Katsaggelos, A. K.

In: Optical Engineering, Vol. 30, No. 7, 01.01.1991, p. 976-985.

Research output: Contribution to journalArticle

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