ArticleOriginal scientific text
Title
Signal reconstruction from given phase of the Fourier transform using Fejér monotone methods
Authors 1
Affiliations
- Hochschule Wismar, Fachbereich Elektrotechnik und Informatik, Philipp-Müller-Straβe, D-23952 Wismar, Germany
Abstract
The aim is to reconstruct a signal function x ∈ L₂ if the phase of the Fourier transform [x̂] and some additional a-priori information of convex type are known. The problem can be described as a convex feasibility problem. We solve this problem by different Fejér monotone iterative methods comparing the results and discussing the choice of relaxation parameters. Since the a-priori information is partly related to the spectral space the Fourier transform and its inverse have to be applied in each iterative step numerically realized by FFT techniques. The computation uses MATLAB routines.
Keywords
signal reconstruction, convex feasibility problem, projection onto convex sets, Fejér monotone iterative methods, Fourier transforms
Bibliography
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Pages:
27-40
Main language of publication
English
Received
1999-11-15
Accepted
2000-02-15
Published
2000
DOI: 10.7151/dmgt.1002
Exact and natural sciences