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A Sampling Theorem with Nonuniform Complex Nodes

✍ Scribed by J.J. Voss

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
384 KB
Volume
90
Category
Article
ISSN
0021-9045

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✦ Synopsis

Using contour integration and a multiplier technique, we establish a sampling theorem with nonuniform complex nodes (t n ) n # Z which applies to entire functions of exponential type including band-limited L 2 -functions. The sequence (t n ) n # Z must satisfy sup n # Z |R(t n )&n| < and sup n # Z |I(t n )| < . The sampled function may grow faster than any polynomial on the real line.

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