Title :
Signal reconstruction from signed Fourier transform magnitude
Author :
Van Hove, Patrick L. ; Hayes, Monson H. ; Lim, Jae S. ; Oppenheim, Alan V.
Author_Institution :
Massachusetts Institute of Technology, Cambridge, MA, USA
fDate :
10/1/1983 12:00:00 AM
Abstract :
In this paper, we show that a one-dimensional or multidimensional sequence is uniquely specified under mild restrictions by its signed Fourier transform magnitude (magnitude and 1 bit of phase information). In addition, we develop a numerical algorithm to reconstruct a one-dimensional or multidimensional sequence from its Fourier transform magnitude. Reconstruction examples obtained using this algorithm are also provided.
Keywords :
Computer science; Crystallography; Electron microscopy; Electron optics; Fourier transforms; Laboratories; Multidimensional systems; Optical microscopy; Reconstruction algorithms; Signal reconstruction;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
DOI :
10.1109/TASSP.1983.1164178
