The gradient of a sampled function†
作者:
M. MOR,
期刊:
International Journal of Control
(Taylor Available online 1970)
卷期:
Volume 11,
issue 6
页码: 1053-1060
ISSN:0020-7179
年代: 1970
DOI:10.1080/00207177008905984
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
One of the applications of digital computers in processing sampled data is in determining the gradient of a sampled function. In this paper an algorithm is found for determining the gradient inNdimensions of anN-dimensional wave-number-limited function from its samples. The gradient is found at the sampling points. An upper bound to the truncation error is calculated. The dependence of this error on the pitch of the sampling lattice, the number of samples and the maximum exeursion is found for a cardinal reconstruction function.
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