On extension of the generalized sampling theorem Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/q811km83x

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  • The relation of the sampling theorem, developed by Shannon for Information Theory, to the Whittaker interpolatory functions is investigated and further extensions in this direction are suggested. The theory of the Shannon sampling theorem with its application in Information Theory is reviewed. The Kramer generalization of this theorem is illustrated for many more functions of interest in Mathematical Physics, so the use of this theorem in other fields besides communications is suggested. Campbell's question concerning the possibility of reducing Kramer's sampling theorem to that of Whittaker is investigated and illustrated for more functions of interest. Some useful theorems in this direction are proposed and proved. It is shown that although most illustrative functions satisfy Campbell's conditions, the advantage of Kramer's sampling theorem over that of Whittaker is removed only in the mind of the communications engineer, who is mainly interested in no integral transforms other than the celebrated Fourier Transform.
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  • File scanned at 300 ppi (Monochrome) using Capture Perfect 3.0.82 on a Canon DR-9080C in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
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  • description.provenance : Submitted by Nitin Mohan (mohanni@onid.orst.edu) on 2010-07-23T22:53:32Z No. of bitstreams: 1 JerriAbdulJabbarHassoon1967.pdf: 862768 bytes, checksum: 7cbf2e2884d8736d87129bbb211843d5 (MD5)
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  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2010-07-27T18:06:41Z (GMT) No. of bitstreams: 1 JerriAbdulJabbarHassoon1967.pdf: 862768 bytes, checksum: 7cbf2e2884d8736d87129bbb211843d5 (MD5)

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