Signal reconstruction from phase or magnitude
- 1 December 1980
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Acoustics, Speech, and Signal Processing
- Vol. 28 (6), 672-680
- https://doi.org/10.1109/tassp.1980.1163463
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 minimum or maximum phase conditions, and are applicable to both one-dimensional and multidimensional sequences. Under the specified conditions, we also develop several algorithms which may be used to reconstruct a sequence from its phase or magnitude.Keywords
This publication has 5 references indexed in Scilit:
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- The Uniqueness of a Multi-Dimensional Sequence in Terms of Its Phase or Magnitude.Published by Defense Technical Information Center (DTIC) ,1980
- Iterative Procedures For Signal Reconstruction From PhasePublished by SPIE-Intl Soc Optical Eng ,1980
- Reconstruction of an object from the modulus of its Fourier transformOptics Letters, 1978
- The representation of two-dimensional sequences as one-dimensional sequencesIEEE Transactions on Acoustics, Speech, and Signal Processing, 1974