Signal Reconstruction from Phase Or Magnitude

Résumé du livre

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).