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- W43508220 abstract "This chapter covers in detail a very important, and natural, extension of the well-known Shannon sampling theorem [818]. Specifically, signals are evaluated by integral transforms other than the Fourier transform. One familiar example is the use of the Hankel (or Bessel) transform in optics, where the kernel of the transform is a Bessel function instead of the usual (complex) exponential kernel of the Fourier transform. Papoulis [704] shows application of such transforms in optical systems. An overview of sampling theory applied to optics can be found in Gori’s chapter in this volume.KeywordsTruncation ErrorJump DiscontinuitySampling TheoremHill FunctionGate FunctionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
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- W43508220 date "1993-01-01" @default.
- W43508220 modified "2023-09-27" @default.
- W43508220 title "Error Analysis in Application of Generalizations of the Sampling Theorem" @default.
- W43508220 doi "https://doi.org/10.1007/978-1-4613-9757-1_7" @default.
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