Convolutional solutions of partial difference equations |
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Authors: | Jiři Gregor |
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Affiliation: | (1) Department of Mathematics, Czech Technical University, Suchbatarova 2, 16627 Praha 6, Czechoslovakia |
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Abstract: | A significant part of the theory of one-dimensional linear shift-invariant systems is based on the concept of weighting function (or impulse response): the output is the convolution of the weighting function with the input. This paper introduces the concept of linear translation-invariant systems and uses this notion in studying impulse response, z-transforms, and transfer functions for multidimensional systems. |
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Keywords: | Partial difference equations Discrete convolution Multidimensional systems |
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