On the sampling theorem for wavelet subspaces

1999 ◽  
Vol 5 (4) ◽  
pp. 347-354 ◽  
Author(s):  
Xingwei Zhou ◽  
Wenchang Sun
Keyword(s):  
Sampling Theorem ◽  
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

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

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.

FORMULATION AND SOLUTION OF OPTIMIZATION PROBLEM REDUNDANCY SYSTEM COMPRISING SITUATION CENTER

2019 ◽  
pp. 44-50
Author(s):  
A.V. Alekseev
Keyword(s):  
Analytical Model ◽  
Quality Indicators ◽  
Significant Influence ◽  
Optimization Problem ◽  
Sampling Theorem ◽  
Sampling Frequency ◽  
Generalized Sampling ◽  
Optimal Value ◽  
Situation Center ◽  
Situation Centers

The analysis of the concept, properties and features of heterogeneous redundancy in modern complex ergatic systems, including those included in the situation centers (SC). On the basis of the qualimetric paradigm, the generalized analytical model of quality and optimization of quality by private, group, summary and aggregated quality indicators is justified. Practical ways of realization of the model and methods of optimization of the objects which are a part of SC and them as a whole at the expense of reduction of structural, functional and other types of redundancy under the obligatory condition of non-reduction of the required value of quality are given. On the example of the generalized sampling theorem when choosing the optimal value of the sampling frequency of the real bandpass signal, the criticality and significant influence on the redundancy of data in their further processing in the SC is shown.

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