Title :
Signal reconstruction from phase or magnitude
Author :
Hayes, Monson H. ; Lim, Jae S. ; Oppenheim, Alan V.
Author_Institution :
Massachusetts Institute of Technology, Cambridge, MA
fDate :
12/1/1980 12:00:00 AM
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 :
Convergence; Discrete transforms; Fourier transforms; Frequency; Laboratories; Multidimensional signal processing; Multidimensional systems; Signal processing algorithms; Signal reconstruction; US Government;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
DOI :
10.1109/TASSP.1980.1163463