DocumentCode
2500929
Title
Wavelets and local polynomial approximation
Author
Katkovnik, Vladimir
Author_Institution
Dept. of Stat., South Africa Univ., Pretoria
fYear
1996
fDate
18-21 Jun 1996
Firstpage
237
Lastpage
240
Abstract
The principal equivalence of two nonparametric techniques the wavelet transform and the local polynomial approximation (LPA) estimates is an objective of this paper. In particular, it is shown that the LPA enables one to interpret the wavelet spectrum as a derivative of the LPA estimate with respect to the scale parameter. The equivalent continuous wavelet transform always exists for any continuous LPA. The differentiating wavelets are derived from the LPA. The asymptotic accuracy results are presented for the estimates
Keywords
approximation theory; estimation theory; nonparametric statistics; polynomials; spectral analysis; wavelet transforms; LPA; asymptotic accuracy; continuous wavelet transform; differentiating wavelets; local polynomial approximation; nonparametric techniques; scale parameter; wavelet spectrum; wavelet transform; Africa; Continuous wavelet transforms; Convolution; Fourier transforms; Kernel; Polynomials; Regression analysis; Statistics; Wavelet analysis; Wavelet transforms;
fLanguage
English
Publisher
ieee
Conference_Titel
Time-Frequency and Time-Scale Analysis, 1996., Proceedings of the IEEE-SP International Symposium on
Conference_Location
Paris
Print_ISBN
0-7803-3512-0
Type
conf
DOI
10.1109/TFSA.1996.547457
Filename
547457
Link To Document