Approximate Sampling Theorem for Bivariate Continuous Function

YANG Shou-zhi; CHENG Zheng-xing; TANG Yuan-yan

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(11): 1197-1203

YANG Shou-zhi, CHENG Zheng-xing, TANG Yuan-yan. Approximate Sampling Theorem for Bivariate Continuous Function[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1197-1203.

Citation:

YANG Shou-zhi, CHENG Zheng-xing, TANG Yuan-yan. Approximate Sampling Theorem for Bivariate Continuous Function[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1197-1203.

Citation:

YANG Shou-zhi, CHENG Zheng-xing, TANG Yuan-yan. Approximate Sampling Theorem for Bivariate Continuous Function[J]. Applied Mathematics and Mechanics, 2003, 24(11): 1197-1203.

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Approximate Sampling Theorem for Bivariate Continuous Function

1.
Department of Mathematics, Shantou University, Shantou, Guangdong 515063, P. R. China;
2.
Faculty of Scicnce, Xi'an Jiaotong University, Xi'an 710049, P. R. China;
3.
Department of Computer Science, Hongkong Baptist University, Kowlon Tong, Hong Kong, P. R.

Received Date: 2001-07-03
Rev Recd Date: 2003-06-17
Publish Date: 2003-11-15

Abstract

Abstract

An approximate solution of the refinement equation was given by its mask, and the approximate sampling theorem for bivariate continuous function was proved by applying the approximate solution. The approximate sampling function defined uniquely by the mask of the refinement equation is the approximate solution of the equation, a piece-wise linear function, and posseses an explicit computation formula. Therefore the mask of the refinement equation is selected according to one's requirement, so that one may controll the decay speed of the approximate sampling function.
- approximate sampling theorem,
- bivariate continuous signal,
- refinement equation,
- mask of refinement equation

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References(10)

References

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