Signals and Communication Technology

Polynomial Theory of Error Correcting Codes

Authors: Cancellieri, Giovanni

  • Enables the reader gradually to gain a clear understanding of the theory with the aid of more than 100 examples
  • Allows rapid location of information by means of a list of more than 150 indexed definitions
  • Offers technicians a new perspective through a unitary approach to block and convolutional codes
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Buy this book

eBook $179.00
price for USA (gross)
  • ISBN 978-3-319-01727-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $229.00
price for USA
  • ISBN 978-3-319-01726-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $229.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 28, 2016
  • ISBN 978-3-319-37870-1
  • Free shipping for individuals worldwide
About this book

The book offers an original view on channel coding, based on a unitary approach to block and convolutional codes for error correction. It presents both new concepts and new families of codes. For example, lengthened and modified lengthened cyclic codes are introduced as a bridge towards time-invariant convolutional codes and their extension to time-varying versions. The novel families of codes include turbo codes and low-density parity check (LDPC) codes, the features of which are justified from the structural properties of the component codes. Design procedures for regular LDPC codes are proposed, supported by the presented theory. Quasi-cyclic LDPC codes, in block or convolutional form, represent one of the most original contributions of the book. The use of more than 100 examples allows the reader gradually to gain an understanding of the theory, and the provision of a list of more than 150 definitions, indexed at the end of the book, permits rapid location of sought information.

About the authors

Giovanni Cancellieri is full professor of Telecommunications at Polytechnic University of Marche, Italy. His main research activities relate to optical communications, multimedia services, networks, mobile communications, and channel coding. He is a member of various worldwide and European technical associations and standardization bodies.

Reviews

“The unified approach of polynomials makes this book quite interesting. It will be quite useful for researchers and engineers working in the field. It can also be used as supplementary material for an advanced undergraduate course or a graduate-level course in coding theory. … the book is good reading. I enjoyed it and I strongly recommend it to any coding theorists.” (Manish Gupta, Computing Reviews, August, 2015)


Table of contents (12 chapters)

  • Generator Matrix Approach to Linear Block Codes

    Cancellieri, Giovanni

    Pages 3-99

  • Wide-Sense Time-Invariant Block Codes in Their Generator Matrix

    Cancellieri, Giovanni

    Pages 101-147

  • Generator Matrix Approach to s.s. Time-Invariant Convolutional Codes

    Cancellieri, Giovanni

    Pages 149-203

  • Wide-Sense Time-Invariant Convolutional Codes in Their Generator Matrix

    Cancellieri, Giovanni

    Pages 205-242

  • Parity Check Matrix Approach to Linear Block Codes

    Cancellieri, Giovanni

    Pages 245-320

Buy this book

eBook $179.00
price for USA (gross)
  • ISBN 978-3-319-01727-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $229.00
price for USA
  • ISBN 978-3-319-01726-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $229.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 28, 2016
  • ISBN 978-3-319-37870-1
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Polynomial Theory of Error Correcting Codes
Authors
Series Title
Signals and Communication Technology
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-01727-3
DOI
10.1007/978-3-319-01727-3
Hardcover ISBN
978-3-319-01726-6
Softcover ISBN
978-3-319-37870-1
Series ISSN
1860-4862
Edition Number
1
Number of Pages
XVIII, 732
Number of Illustrations and Tables
320 b/w illustrations
Topics