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Approximate sampling theorem for bivariate continuous function - MaRDI portal

Approximate sampling theorem for bivariate continuous function (Q1890360)

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scientific article; zbMATH DE number 2124345
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English
Approximate sampling theorem for bivariate continuous function
scientific article; zbMATH DE number 2124345

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    Approximate sampling theorem for bivariate continuous function (English)
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    3 January 2005
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    An approximate solution of the refinement equation is given by its mask, and the approximate sampling theorem for a bivariate continuous function is 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 piecewise linear function, and possesses an explicit computational formula. Therefore the mask of the refinement equation is selected according to the requirement that the decay speed of the approximate sampling function can be controlled.
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    approximate sampling theory
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    bivariate continuous signal
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    mask of refinement equation
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