Paper Info
Title
Unified approach to extrapolation of bandlimited signals in linear canonical transform domain
Abstract
The linear canonical transform (LCT) has been shown to be a powerful tool for signal processing and optics. Several extrapolation strategies for bandlimited signals in LCT domain have been proposed. The purpose of this paper is to present an approach that unifies a number of different algorithms for the extrapolation of bandlimited signals in LCT domain. This unification is achieved through integral equation and Hilbert space theories. First, the following existing techniques are unified: (1) a continuous signal extrapolation algorithm based on series expansion in terms of generalized prolate spheroidal functions; (2) a generalized Papoulis-Gerchberg iterative algorithm; (3) a two-step extrapolation algorithm for continuous signal from finite samples; and (4) an iterative extrapolation algorithm based on error energy reduction procedure for continuous signal from finite samples. Then, two extrapolation algorithms for discrete bandlimited signals in LCT domain are proposed, which also belongs to the unified framework. HighlightsUnified approach to extrapolation of ( a , b , c , d ) -bandlimited signals is proposed.Four extrapolation algorithms for continuous signals are unified.Two extrapolation algorithms for discrete signals are proposed.
Year
DOI
Venue
2014
10.1016/j.sigpro.2014.02.002
Signal Processing
Keywords
Field
DocType
bandlimited signal,extrapolation algorithm,hilbert space,linear canonical transform
Hilbert space,Signal processing,Mathematical optimization,Continuous signal,Minimum polynomial extrapolation,Bandlimiting,Iterative method,Integral equation,Extrapolation,Mathematics
Journal
Volume
Issue
ISSN
101
C
0165-1684
Citations 
PageRank 
References 
3
0.43
12
Authors
5
Name
Order
Citations
PageRank
Hui Zhao1315.15
Ruyan Wang224140.80
Daiping Song3263.01
Tianqi Zhang46821.52
Yuanni Liu540.78