Paper Info
Title
Approximate signal reconstruction using nonuniform samples in fractional Fourier and linear canonical transform domains
Abstract
Approximate signal reconstruction formulas for the class of L2 (R) signals in the fractional Fourier and linear canonical transform (LCT) domains are presented. The results make use of the finite number of nonuniform samples of the signal in fractional Fourier or LCT domains taken at the positions determined by the zeros of the Hermite polynomials. The results provide exact representation for the class of signals that can be expressed in the form of polynomials of some finite order. The truncation error bounds in the presented results are also discussed. Simulation results for some of the proposed theorems are also presented.
Year
DOI
Venue
2009
10.1109/TSP.2009.2025095
IEEE Transactions on Signal Processing
Keywords
Field
DocType
finite number,proposed theorem,finite order,exact representation,approximate signal reconstruction formula,simulation result,fractional fourier,nonuniform sample,hermite polynomial,linear canonical,hermite polynomials,chebyshev approximation,fourier transforms,hermitian matrices,truncation error,signal processing,polynomials,signal reconstruction,fractional fourier transform,nonuniform sampling
Truncation error,Mathematical optimization,Canonical transformation,Mathematical analysis,Approximation theory,Hermite polynomials,Fourier transform,Fractional Fourier transform,Signal reconstruction,Mathematics,Nonuniform sampling
Journal
Volume
Issue
ISSN
57
11
1053-587X
Citations 
PageRank 
References 
7
0.51
8
Authors
1
Name
Order
Citations
PageRank
K. K. Sharma1537.62