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

Author

Soltanian-Zadeh, Hamid ; Yagle, Andrew E.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA

fYear

1990

fDate

3-6 Apr 1990

Firstpage

1555

Abstract

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

Keywords

Fourier transforms; Kalman filters; filtering and prediction theory; 1D phase retrieval; Fourier domain; Fourier magnitude; Kalman filtering; extended Kalman filter; finite spatial support; linear equations; nonlinear set; one-dimensional phase retrieval; state equation; state-space harmonic retrieval; support constraint; trigonometric equations; wavenumber domain; Artificial intelligence; Equations; Filtering; Kalman filters; Light rail systems; Linear systems; Nonlinear equations; Nonlinear filters; Power harmonic filters; Stochastic processes; Tail; Tellurium; Writing;

fLanguage

English

Publisher

ieee

Conference_Titel

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

Conference_Location

Albuquerque, NM

ISSN

1520-6149

Type

conf

DOI

10.1109/ICASSP.1990.115710

Filename

115710