Title

A fast wavelet-based algorithm for signal recovery from partial Fourier domain information

Authors

Authors

W. A. Rabadi;H. R. Myler

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

IEEE Trans. Circuits Syst. II-Analog Digit. Signal Process.

Keywords

PHASE RETRIEVAL; IMAGE; RECONSTRUCTION; MAGNITUDE; TRANSFORM; Engineering, Electrical & Electronic

Abstract

Signal reconstruction from the measurements of its Fourier transform magnitude remains an important and difficult problem that occurs in different areas in signal processing. Among all the approaches developed to solve this problem, the iterative transform algorithms are currently the most efficient. However, these algorithms suffer from major drawbacks such as stagnation, slow convergence, and high computational cost that limit their practical application. In this brief, we introduce a wavelet adaptation of the general iterative algorithm where the problem is decomposed into different resolution levels and the image is reconstructed following a coarse-to-fine strategy. We show that the proposed approach can significantly improve the performance of the existing algorithms while dramatically reducing their computational complexity.

Journal Title

Ieee Transactions on Circuits and Systems Ii-Analog and Digital Signal Processing

Volume

45

Issue/Number

8

Publication Date

1-1-1998

Document Type

Article

Language

English

First Page

1134

Last Page

1136

WOS Identifier

WOS:000075817000023

ISSN

1057-7130

Share

COinS