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Introduction to Shannon Sampling and Interpolation Theory

  • Textbook
  • © 1991

Overview

Authors:
  1. Robert J. Marks

    1. Interactive Systems Design Laboratory, Department of Electrical Engineering, University of Washington, Seattle, USA

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Part of the book series: Springer Texts in Electrical Engineering (STELE)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Introduction

    • Robert J. Marks II
    Pages 1-6

  3. Fundamentals of Fourier Analysis and Stochastic Processes

    • Robert J. Marks II
    Pages 7-32

  4. The Cardinal Series

    • Robert J. Marks II
    Pages 33-56

  5. Generalizations of the Sampling Theorem

    • Robert J. Marks II
    Pages 57-110

  6. Sources of Error

    • Robert J. Marks II
    Pages 111-166

  7. The Sampling Theorem in Higher Dimensions

    • Robert J. Marks II
    Pages 167-224

  8. Continuous Sampling

    • Robert J. Marks II
    Pages 225-278

  9. Back Matter

    Pages 279-324
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Keywords

About this book

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.

Authors and Affiliations

  • Interactive Systems Design Laboratory, Department of Electrical Engineering, University of Washington, Seattle, USA

    Robert J. Marks

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