Signal Reconstruction from Fourier Transform Sign Information.

Abstract

This paper presents new results on the reconstruction of signals from only the sign of the real part of the Fourier transform. Specifically, the authors developed new theoretical results which state conditions under which two-dimensional signals are uniquely specified to within a scale factor with this information and show that these conditions include a broad class of signals. Furthermore, this result was applied to the problem of reconstructing two-dimensional signals from their zero crossings. Also presented are two algorithms for reconstructing a signal from sign information in either the time or frequency domain. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1984
Accession Number
ADA148039

Entities

People

  • A. V. Oppenheim
  • J. S. Lim
  • S. R. Curtis

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Classification
  • Contracts
  • Convergence
  • Convex Sets
  • Fourier Series
  • Frequency
  • Frequency Domain
  • Geometry
  • Image Processing
  • Information Processing
  • Massachusetts
  • Periodic Functions
  • Security
  • Specifications
  • Standards
  • Two Dimensional

Fields of Study

  • Engineering

Readers

  • Theoretical Analysis.
  • Wave Propagation and Nonlinear Chaotic Dynamics.