Sampling theorem for wavelet subspaces: error estimate and irregular sampling

2000 ◽  
Vol 48 (1) ◽  
pp. 223-226 ◽  
Author(s):  
Wenchang Sun ◽  
Xingwei Zhou
Keyword(s):  
Error Estimate ◽  
Sampling Theorem ◽  
Irregular Sampling ◽  
Wavelet Subspaces

Multivariate irregular sampling theorem

2009 ◽  
Vol 52 (11) ◽  
pp. 2469-2478 ◽  
Author(s):  
GuangGui Chen ◽  
GenSun Fang
Keyword(s):  
Sampling Theorem ◽  
Irregular Sampling

scholarly journals Irregular sampling theorems for wavelet subspaces

1998 ◽  
Vol 44 (3) ◽  
pp. 1131-1142 ◽  
Author(s):  
Wen Chen ◽  
S. Itoh ◽  
J. Shiki
Keyword(s):  
Irregular Sampling ◽  
Sampling Theorems ◽  
Wavelet Subspaces

Irregular Sampling in Wavelet Subspaces

1995 ◽  
Vol 2 (2) ◽  
pp. 181-189 ◽  
Author(s):  
Y.M. Liu ◽  
G.G. Walter
Keyword(s):  
Irregular Sampling ◽  
Wavelet Subspaces

Vector sampling theorem for wavelet subspaces

2010 ◽  
Vol 14 (1) ◽  
pp. 29-33
Author(s):  
Jun-li Chen ◽  
Xiang Li ◽  
Wei-xiao Liu ◽  
Wang-gen Wan
Keyword(s):  
Sampling Theorem ◽  
Wavelet Subspaces

scholarly journals The continous Legendre transform, its inverse transform, and applications

1980 ◽  
Vol 3 (1) ◽  
pp. 47-67 ◽  
Author(s):  
P. L. Butzer ◽  
R. L. Stens ◽  
M. Wehrens
Keyword(s):  
Error Estimate ◽  
Legendre Polynomial ◽  
Inversion Formula ◽  
Sampling Theorem ◽  
The Other ◽  
Legendre Transform ◽  
Legendre Functions ◽  
Inverse Transform ◽  
Shannon Sampling Theorem ◽  
New Type

This paper is concerned with the continuous Legendre transform, derived from the classical discrete Legendre transform by replacing the Legendre polynomialPk(x)by the functionPλ(x)withλreal. Another approach to T.M. MacRobert's inversion formula is found; for this purpose an inverse Legendre transform, mappingL1(ℝ+)intoL2(−1,1), is defined. Its inversion in turn is naturally achieved by the continuous Legendre transform. One application is devoted to the Shannon sampling theorem in the Legendre frame together with a new type of error estimate. The other deals with a new representation of Legendre functions giving information about their behaviour near the pointx=−1.

The cardinal orthogonal scaling function and sampling theorem in the wavelet subspaces

2007 ◽  
Vol 194 (1) ◽  
pp. 199-214 ◽  
Author(s):  
Guo-chang Wu ◽  
Zheng-xing Cheng ◽  
Xiao-hui Yang
Keyword(s):  
Scaling Function ◽  
Sampling Theorem ◽  
Wavelet Subspaces
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