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© 2015

Transmitting and Gaining Data

Rudolf Ahlswede’s Lectures on Information Theory 2

  • Alexander Ahlswede
  • Ingo Althöfer
  • Christian Deppe
  • Ulrich Tamm
Book

Part of the Foundations in Signal Processing, Communications and Networking book series (SIGNAL, volume 11)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Transmitting Data

    1. Front Matter
      Pages 1-1
    2. Rudolf Ahlswede, Alexander Ahlswede, Ingo Althöfer, Christian Deppe, Ulrich Tamm
      Pages 3-167
    3. Rudolf Ahlswede, Alexander Ahlswede, Ingo Althöfer, Christian Deppe, Ulrich Tamm
      Pages 169-188
    4. Rudolf Ahlswede, Alexander Ahlswede, Ingo Althöfer, Christian Deppe, Ulrich Tamm
      Pages 189-268
    5. Rudolf Ahlswede, Alexander Ahlswede, Ingo Althöfer, Christian Deppe, Ulrich Tamm
      Pages 269-297
    6. Rudolf Ahlswede, Alexander Ahlswede, Ingo Althöfer, Christian Deppe, Ulrich Tamm
      Pages 299-321
    7. Rudolf Ahlswede, Alexander Ahlswede, Ingo Althöfer, Christian Deppe, Ulrich Tamm
      Pages 323-362
  3. Gaining Data

    1. Front Matter
      Pages 363-363
    2. Rudolf Ahlswede, Alexander Ahlswede, Ingo Althöfer, Christian Deppe, Ulrich Tamm
      Pages 365-391
    3. Rudolf Ahlswede, Alexander Ahlswede, Ingo Althöfer, Christian Deppe, Ulrich Tamm
      Pages 393-448
  4. Back Matter
    Pages 449-461

About this book

Introduction

The calculation of channel capacities was one of Rudolf Ahlswede's specialties and is the main topic of this second volume of his Lectures on Information Theory. Here we find a detailed account of some very classical material from the early days of Information Theory, including developments from the USA, Russia, Hungary and which Ahlswede was probably in a unique position to describe the German school centered around his supervisor Konrad Jacobs. These lectures made an approach to a rigorous justification of the foundations of Information Theory. This is the second of several volumes documenting Rudolf Ahlswede's lectures on Information Theory. Each volume includes comments from an invited well-known expert. In the supplement to the present volume, Gerhard Kramer contributes his insights.

Classical information processing concerns the main tasks of gaining knowledge and the storage, transmission and hiding of data. The first task is the prime goal of Statistics. For transmission and hiding of data, Shannon developed an impressive mathematical theory called Information Theory, which he based on probabilistic models. The theory largely involves the concept of codes with small error probabilities in spite of noise in the transmission, which is modeled by channels. The lectures presented in this work are suitable for graduate students in Mathematics, and also for those working in Theoretical Computer Science, Physics, and Electrical Engineering with a background in basic Mathematics. The lectures can be used as the basis for courses or to supplement courses in many ways. Ph.D. students will also find research problems, often with conjectures, that offer potential subjects for a thesis. More advanced researchers may find questions which form the basis of entire research programs.

Keywords

94, 94A, 68P, 68Q algorithms to compute capacities capacity of special channels channels with feedback continuous transmission lambda-capacity sliding block codes

Authors and affiliations

  1. 1.Faculty of MathematicsUniversity of BielefeldBielefeldGermany

Editors and affiliations

  • Alexander Ahlswede
    • 1
  • Ingo Althöfer
    • 2
  • Christian Deppe
    • 3
  • Ulrich Tamm
    • 4
  1. 1.BielefeldGermany
  2. 2.Faculty Mathematics and Comp. ScienceFriedrich-Schiller-University JenaJenaGermany
  3. 3.Faculty of MathematicsUniversity of BielefeldBielefeldGermany
  4. 4.Applied Math., Stat., Quant. MethodsBielefeld University of Appl. ScienBielefeldGermany

About the editors

Rudolf Ahlswede (1938 - 2010) studied Mathematics in Göttingen, and held postdoc positions in Erlangen, Germany and Ohio, USA. From 1977 on he was full Professor of Applied Mathematics at the University of Bielefeld. His work represents an essential contribution to information theory and networking. He developed and contributed to a number of central areas, including network coding, and theory of identification, while also advancing the fields of combinatorics and number theory. These efforts culminated in his research program “Development of a General Theory of Information Transfer”. In recognition of his work, Rudolf Ahlswede received several awards for “Best Paper”, as well as the distinguished “Shannon Award”.

Bibliographic information

  • Book Title Transmitting and Gaining Data
  • Book Subtitle Rudolf Ahlswede’s Lectures on Information Theory 2
  • Authors Rudolf Ahlswede
  • Editors Alexander Ahlswede
    Ingo Althöfer
    Christian Deppe
    Ulrich Tamm
  • Series Title Foundations in Signal Processing, Communications and Networking
  • Series Abbreviated Title Foundat.Signal Processing
  • DOI https://doi.org/10.1007/978-3-319-12523-7
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-319-12522-0
  • Softcover ISBN 978-3-319-35656-3
  • eBook ISBN 978-3-319-12523-7
  • Series ISSN 1863-8538
  • Series E-ISSN 1863-8546
  • Edition Number 1
  • Number of Pages XVII, 461
  • Number of Illustrations 4 b/w illustrations, 0 illustrations in colour
  • Topics Information and Communication, Circuits
  • Buy this book on publisher's site