Title
A weighted averaging method for treating discontinuous spectral data.
Abstract
We introduce a weighted averaging method for improving the inevitable error induced by the Gibbs phenomenon appearing in a spectral approximation for a discontinuous function. In the result we have a family of filters generalizing the well known Fejer filter. In addition, for high resolution recovery, we propose an adaptive filter which is competitive with the existing exponentially convergent adaptive filter. Several numerical examples are included to show the applicability of the method presented.
Year
DOI
Venue
2012
10.1016/j.aml.2012.02.064
Applied Mathematics Letters
Keywords
Field
DocType
Weighted averaging filter,Spectral approximation,Gibbs phenomenon,Adaptive filter
Gibbs phenomenon,Continuous function,Mathematical optimization,Generalization,Kernel adaptive filter,Adaptive filter,Spectral approximation,Mathematics,Exponential growth,Filter design
Journal
Volume
Issue
ISSN
25
9
0893-9659
Citations 
PageRank 
References 
0
0.34
2
Authors
1
Name
Order
Citations
PageRank
Beong In Yun18612.55