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Error control coding for wireless communication technologies

Error control coding for wireless communication technologies. Background material for linear error control codes Janos Levendovszky. EU-USA Atlantis Programme. FIT & Budapest University of Technology and Economics. AWGN channel model. sgn. BSC channel model. Binary Symmetric Channel.

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Error control coding for wireless communication technologies

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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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