Open Access

CT Image Reconstruction Approaches Applied to Time-Frequency Representation of Signals

EURASIP Journal on Advances in Signal Processing20032003:137975

DOI: 10.1155/S1110865703211100

Received: 29 January 2002

Published: 14 April 2003

Abstract

The mathematical formulation used in tomography has been successfully applied to time-frequency analysis, which represents an important "imaging modality" of the structure of signals. Based on the interrelation between CT and time-frequency analysis, new methods have been developed for the latter. In this paper, an original method for constructing the time-frequency representation of signals from the squared magnitudes of their fractional Fourier transforms is presented. The method uses -norm minimization with which is motivated by Rényi entropy maximization. An iterative optimization method with adaptive estimation of the convergence parameter is elaborated. The proposed method exhibits advantages in the suppression of interference terms for signals with simple time-frequency configurations.

Keywords

Radon-Wigner transform Wigner distribution fractional Fourier transform Rényi entropy

Authors’ Affiliations

(1)
Department of Radio and Electronics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology in Bratislava
(2)
Biomedical Engineering Department, Faculty of Engineering, Jordan University of Science and Technology

Copyright

© Copyright © 2003 Hindawi Publishing Corporation 2003