Title :
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
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;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1990. ICASSP-90., 1990 International Conference on
Conference_Location :
Albuquerque, NM
DOI :
10.1109/ICASSP.1990.115710
