Table of Contents
ISRN Signal Processing
Volume 2011 (2011), Article ID 421502, 6 pages
http://dx.doi.org/10.5402/2011/421502
Research Article

A Method for the Recovery of Gaps in General Analytic Signals

1School of Engineering, Ruppin Academic Center, Emek-Hefer 40250, Israel
2School of Electrical Engineering, Faculty of Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel

Received 27 May 2011; Accepted 10 July 2011

Academic Editor: L. Senhadji

Copyright © 2011 Benjamin G. Salomon and Hanoch Ur. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We propose a generalized Papoulis-Gerchberg algorithm for the recovery of gaps in general analytic functions. The continuous-time algorithm is based on signal expansions in terms of the Chebyshev polynomials of the first kind, and the discrete-time implementation is based on a suitable nonuniform sampling scheme and the discrete cosine transform.