Signal Reconstruction from Phase or Magnitude.

Abstract

In this paper, we develop a set of conditions under which a sequence is uniquely specified by the phase or samples of the phase of its Fourier transform, and a similar set of conditions under which a sequence is uniquely specified by the magnitude of its Fourier transform. These conditions are distinctly different from the maximum or minimum phase conditions, and are applicable to both one-dimensional and multi-dimensional sequences. Under the specified conditions, we also develop several algorithms which may be used to reconstruct a sequence from its phase or magnitude. As a potential application area, the results of this paper are applied to the blind deconvolution problem of digital images blurred by a symmetric point spread function. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 18, 1979
Accession Number
ADA078745

Entities

People

  • Alan V. Oppenheim
  • Jae S. Lim
  • Monte Hayes

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Ambiguity
  • Atmospheric Motion
  • Coefficients
  • Computations
  • Coordinate Systems
  • Digital Computers
  • Discrete Fourier Transforms
  • Equations
  • Frequency
  • Image Reconstruction
  • Intervals
  • Iterations
  • Network Science
  • Sequences
  • Signal Processing
  • Two Dimensional

Fields of Study

  • Engineering

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Computer Vision.
  • Wave Propagation and Nonlinear Chaotic Dynamics.