Linear algebraic analysis of fractional Fourier domain interpolation

Date
2009
Advisor
Instructor
Source Title
Proceedings of the 17th Signal Processing and Communications Applications Conference, SIU 2009
Print ISSN
2165-0608
Electronic ISSN
Publisher
IEEE
Volume
Issue
Pages
872 - 875
Language
Turkish
Type
Conference Paper
Journal Title
Journal ISSN
Volume Title
Abstract

In this work, we present a novel linear algebraic approach to certain signal interpolation problems involving the fractional Fourier transform. These problems arise in wave propagation, but the proposed approach to these can also be applicable to other areas. We see this interpolation problem as the problem of determining the unknown signal values from the given samples within some tolerable error. We formulate the problem as a linear system of equations and use the condition number as a measure of redundant information in given samples. By analyzing the effect of the number of known samples and their distributions on the condition number with simulation examples, we aim to investigate the redundancy and information relations between the given data.

Course
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Book Title
Keywords
Condition numbers, Fractional Fourier domains, Fractional Fourier transforms, Interpolation problems, Linear system of equations, Redundant informations, Signal interpolation, Simulation example, Interpolation
Citation
Published Version (Please cite this version)