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Introduction to Shannon Sampling and Interpolation Theory

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Release : 2012-12-06
Genre : Technology & Engineering
Kind : eBook
Book Rating : 081/5 ( reviews)

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Book Synopsis Introduction to Shannon Sampling and Interpolation Theory by : Robert J. II Marks

Download or read book Introduction to Shannon Sampling and Interpolation Theory written by Robert J. II Marks. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Much of that which is ordinal is modeled as analog. Most computational engines on the other hand are dig- ital. Transforming from analog to digital is straightforward: we simply sample. Regaining the original signal from these samples or assessing the information lost in the sampling process are the fundamental questions addressed by sampling and interpolation theory. This book deals with understanding, generalizing, and extending the cardinal series of Shannon sampling theory. The fundamental form of this series states, remarkably, that a bandlimited signal is uniquely specified by its sufficiently close equally spaced samples. The contents of this book evolved from a set of lecture notes prepared for a graduate survey course on Shannon sampling and interpolation theory. The course was taught at the Department of Electrical Engineering at the University of Washington, Seattle. Each of the seven chapters in this book includes a list of references specific to that chapter. A sequel to this book will contain an extensive bibliography on the subject. The author has also opted to include solutions to selected exercises in the Appendix.

Introduction to Shannon Sampling and Interpolation Theory

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Author :
Release : 1990-11-06
Genre :
Kind : eBook
Book Rating : 090/5 ( reviews)

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Book Synopsis Introduction to Shannon Sampling and Interpolation Theory by : Robert J II Marks

Download or read book Introduction to Shannon Sampling and Interpolation Theory written by Robert J II Marks. This book was released on 1990-11-06. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Topics in Shannon Sampling and Interpolation Theory

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Author :
Release : 1993
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Advanced Topics in Shannon Sampling and Interpolation Theory by : Robert J. Marks

Download or read book Advanced Topics in Shannon Sampling and Interpolation Theory written by Robert J. Marks. This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Topics in Shannon Sampling and Interpolation Theory

Download Advanced Topics in Shannon Sampling and Interpolation Theory PDF Online Free

Author :
Release : 2012-12-06
Genre : Technology & Engineering
Kind : eBook
Book Rating : 57X/5 ( reviews)

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Book Synopsis Advanced Topics in Shannon Sampling and Interpolation Theory by : Robert J.II Marks

Download or read book Advanced Topics in Shannon Sampling and Interpolation Theory written by Robert J.II Marks. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Topics in Shannon Sampling and Interpolation Theory is the second volume of a textbook on signal analysis solely devoted to the topic of sampling and restoration of continuous time signals and images. Sampling and reconstruction are fundamental problems in any field that deals with real-time signals or images, including communication engineering, image processing, seismology, speech recognition, and digital signal processing. This second volume includes contributions from leading researchers in the field on such topics as Gabor's signal expansion, sampling in optical image formation, linear prediction theory, polar and spiral sampling theory, interpolation from nonuniform samples, an extension of Papoulis's generalized sampling expansion to higher dimensions, and applications of sampling theory to optics and to time-frequency representations. The exhaustive bibliography on Shannon sampling theory will make this an invaluable research tool as well as an excellent text for students planning further research in the field.

Advances in Shannon's Sampling Theory

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Release : 2018-04-24
Genre : Mathematics
Kind : eBook
Book Rating : 200/5 ( reviews)

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Book Synopsis Advances in Shannon's Sampling Theory by : AhmedI. Zayed

Download or read book Advances in Shannon's Sampling Theory written by AhmedI. Zayed. This book was released on 2018-04-24. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Shannon's Sampling Theory provides an up-to-date discussion of sampling theory, emphasizing the interaction between sampling theory and other branches of mathematical analysis, including the theory of boundary-value problems, frames, wavelets, multiresolution analysis, special functions, and functional analysis. The author not only traces the history and development of the theory, but also presents original research and results that have never before appeared in book form. Recent techniques covered include the Feichtinger-Gröchenig sampling theory; frames, wavelets, multiresolution analysis and sampling; boundary-value problems and sampling theorems; and special functions and sampling theorems. The book will interest graduate students and professionals in electrical engineering, communications, and applied mathematics.

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