FUNCTIONS WITH SPLINE SPECTRA AND THEIR APPLICATIONS-Reference-Cited by-同舟云学术

FUNCTIONS WITH SPLINE SPECTRA AND THEIR APPLICATIONS

Published:2010-03 Issue:02 Volume:08 Page:197-223
ISSN:0219-6913
Container-title:International Journal of Wavelets, Multiresolution and Information Processing
language:en
Short-container-title:Int. J. Wavelets Multiresolut Inf. Process.

Author:

CHEN QIUHUI¹²,MICCHELLI CHARLES A.³,WANG YI⁴

Affiliation:

1. School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510420, P. R. China

2. Department of Mathematics, University of Aveiro, Aveiro P-3810-159, Portugal

3. Department of Mathematics and Statistics, State University of New York, The University at Albany, Albany, NY 12222, USA

4. Department of Mathematics, Auburn University at Montgomery, P. O. Box 244023, Montgomery, AL 36124-4023, USA

Abstract

In this paper, we introduce a family of real-valued functions which have spline spectra. They extend the well-known Sinc function and generally are the restrictions to the real line of analytic functions in a strip containing the real axis. We investigate various properties of these functions including those related to interpolation, orthogonality, and stability. Moreover, a sampling formula is provided for their construction and some applications for signal analysis are given.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219691310003432

Reference13 articles.

1. A product theorem for Hilbert transforms

2. A sampling theorem for non-bandlimited signals using generalized Sinc functions

3. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis

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