Sampling theorem for functions bandlimited to a disc*
作者:
Ahmed I. Zayed,
期刊:
Complex Variables, Theory and Application: An International Journal
(Taylor Available online 1994)
卷期:
Volume 26,
issue 3
页码: 245-254
ISSN:0278-1077
年代: 1994
DOI:10.1080/17476939408814784
出版商: Gordon and Breach Science Publishers
关键词: 30D10;30C15;94A12;35J25
数据来源: Taylor
摘要:
The Whittaker-Shannon-Kotel'nikov sampling theorem provides sampling series expansions for the re-construction of functions (signals) that are bandlimited to finite closed intervals, symmetric about the origin, i.e., intervals of type [−a,a]. There are generalizations of this theorem toNdimensions, yet they all mainly deal with functions that are also bandlimited toN-dimensional rectangles symmetric about the origin. No general theory seems to exist for functions that are bandlimited to a general domain inNdimensions. In this paper we give, by using polar coordinates, a sampling series expansion that can be used for the reconstruction of functions (signals) that are bandlimited to a disc centered at the origin. The sample points are the eigenvalues of a Dirichlet problem in the disc.
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