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Error Control Coding for Wireless Communication: A Comprehensive Guide

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This document provides an in-depth exploration of error control coding techniques applicable to wireless communication technologies. It discusses linear error control codes, specifically focusing on effective coding strategies for mitigating errors over unreliable channels, such as the AWGN and Binary Symmetric Channel models. Key topics include the development of linear codes, message vectors, and codeword generation using generator matrices. Suggested readings and quiz questions are included to reinforce learning. This content is designed for students and professionals in communication engineering.

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Error Control Coding for Wireless Communication: A Comprehensive Guide

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  1. Errorcontrolcodingforwireless communicationtechnologies Background material for linear error control codes Janos Levendovszky EU-USA Atlantis Programme FIT & Budapest University of Technology and Economics

  2. AWGN channel model sgn

  3. BSC channel model Binary Symmetric Channel BSC is fully characterized by

  4. Challenge How to achieve relibale communication over an unreliable channel ? By error control coding.

  5. Coding in general • 00 00000 • 01 01010 • 10101 • 11111 00000 00 01010 01 10101 10 11111 11 00000 00001 00000 00 00 On-line complexity Not real-time !

  6. Developing linear codes C(5,2)

  7. Message vectors

  8. Developing linear codesC(7,3)

  9. Message vectors

  10. Suggested readings D. Costello: Error control codes, Wiley, 2005, Chapter 3, 3.1-3.5

  11. Expected Quiz questions 1. Given a generator matrix of a linear binary systematic code, determine the codewords 2. Given a generator matrix of a linear binary systematic code, determine the parity check matrix

  12. Thank you for your attention !

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