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3 results

  • 2 - Basics

  • Enrico Paolini, University of Bologna, Gianluigi Liva, German Aerospace Center, Wessling, Balázs Matuz, Huawei Munich Research Center, Marco Chiani, University of Bologna
  • Book:
    Coding for Erasure Channels
    Print publication:
    31 March 2026, pp 12-48

  • Summary

    Basic definitions and tools for error correction: In Chapter 2, we provide the basic elements of classical error correcting codes, how to perform operations in finite fields, the decision rules, the structure and properties of classical block codes, and finally a description of the Reed–Solomon codes which are particularly important for the erasure channel.

Fundamentals of Digital Communication Systems
  • Tolga M. Duman
  • Published online:
    10 March 2025
    Print publication:
    23 January 2025
  • This dynamic textbook provides students with a concise and accessible introduction to the fundamentals of modern digital communications systems. Building from first principles, its comprehensive approach equips students with all of the mathematical tools, theoretical knowledge, and practical understanding they need to excel. It equips students with a strong mathematical foundation spanning signals and systems, probability, random variables, and random processes, and introduces students to key concepts in digital information sources, analog-to-digital conversion, digital modulation, power spectra, multi-carrier modulation, and channel coding. It includes over 85 illustrative examples, and more than 270 theoretical and computational end-of-chapter problems, allowing students to connect theory to practice, and is accompanied by downloadable Matlab code, and a digital solutions manual for instructors. Suitable for a single-semester course, this succinct textbook is an ideal introduction to the field of digital communications for senior undergraduate students in electrical engineering.

  • 9 - Channel Coding

  • Tolga M. Duman, Bilkent University, Ankara
  • Book:
    Fundamentals of Digital Communication Systems
    Published online:
    10 March 2025
    Print publication:
    23 January 2025, pp 345-391

  • Summary

    The fundamental limits of communication over a noisy channel, in particular, over an AWGN channel, are described, and channel coding is introduced as a way of approaching the ultimate information-theoretic limits of reliable communication. Linear block codes and convolutional codes are studied in some depth. Encoding and decoding algorithms, as well as basic performance analysis results, are developed. The Viterbi algorithm is introduced for both hard-decision decoding and soft-decision decoding of convolutional codes.