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On the phase interpolation problem — A brief review and some new results
Authors:S C Dutta Roy  Shailey Minocha
Affiliation:(1) Department of Electrical Engineering, Indian Institute of Technology, 110016 Hauz Khas, New Delhi, India
Abstract:Reconstruction of a signal from the phase of its Fourier transform is important and useful in a variety of practical applications. In this paper, we give a brief review of the previous results and develop some new ones pertaining to the phase-only reconstruction problem. The review includes conditions under which the signal is uniquely specified by its Fourier transform phase and some algorithms for performing the reconstruction. New results consist of an extension of a previous technique and an explicit formula for reconstruction. A number of potential applications of the reconstruction techniques are briefly mentioned in the concluding section. Throughout this paper, reference to the phase or magnitude of the signal should be interpreted, respectively, as the phase or magnitude of theft of the signal.
Keywords:Signal reconstruction  phase interpolation  Fourier transform
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