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A wavenumber-domain Kalman filtering approach to one-dimensional phase retrieval

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2 Author(s)
Soltanian-Zadeh, H. ; Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA ; Yagle, A.E.

The phase retrieval problem, i.e. computing a function known to have finite spatial support from knowledge of its Fourier magnitude, is considered. By writing the support constraint as a state equation in the Fourier domain (dual to the system used in state-space harmonic retrieval), an extended Kalman filter is used to compute the Fourier magnitudes as observations. The filter is initialized by solving a linear system of equations, followed by a nonlinear set of trigonometric equations

Published in:

Acoustics, Speech, and Signal Processing, 1990. ICASSP-90., 1990 International Conference on

Date of Conference:

3-6 Apr 1990