scholarly journals The Zak transform and sampling theorems for wavelet subspaces

1993 ◽  
Vol 41 (12) ◽  
pp. 3360-3364 ◽  
Author(s):  
A.J.E.M. Janssen
Keyword(s):  
Zak Transform ◽  
Sampling Theorems ◽  
Wavelet Subspaces

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

Sampling Theorems of Wavelet Subspaces with M Band in Higher Dimensions

2013 ◽  
Vol 709 ◽  
pp. 563-566
Author(s):  
Jin Zhou Li ◽  
Xin Cheng Zhang
Keyword(s):  
Image Processing ◽  
Signal Processing ◽  
Symmetry Property ◽  
Scaling Function ◽  
Higher Dimensions ◽  
Sampling Theorem ◽  
Scaling Functions ◽  
Sampling Theorems ◽  
Highpass Filter ◽  
Wavelet Subspaces

Sampling theorem has a key role in signal processing and image processing. In this paper, the scaling functions with cardinal property are discussed in the dimensions and their symmetry property is classified. Therefore, sampling theorems of wavelet subspaces are obtained. Then, the cardinal orthogonal scaling function with cardinal property is characterized in the dimensions and an equation between the highpass filter coefficients and wavelet samples are got. The existing results are generalized to the case of M band.

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