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Error control coding for wireless communication technologies

Error control coding for wireless communication technologies. Background material for error control coding 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 error control coding 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. BSC as an additive channel model Binary Symmetric Channel Error bit

  5. Extension to vectors error vector

  6. Block error probability

  7. How to achieve reliable communication over an unreliable channel errors 1 0 00000 01010 Majority dec. 5x BSC BSC’ BSC’ Problem: for the sake of reliable communication we have to decrease the data speed

  8. Reliable communication by repeaters Better QoS Loss in data speed

  9. Coding in general • 00 00000 • 01 01010 • 10101 • 11111 00000 00 01010 01 10101 10 11111 11 00000 00001 00000 00 00 00100 10001 00 11 00000 1111 10 11 10101 00100 11111 11011 01000 00000 00 00 00000 01000 01010

  10. Suggested readings D. Costello: Error control codes, Wiley, 2005, Chapter 1.4, Chapter 3.4. Three uploaded paper on fundamentals, on look up tables and on the role of FPGA implementation

  11. Homework assingment Develop and implement the optimal C(7,3) code !

  12. Expected Quiz questions • Having a BSC with BER 0.01, how many repeats are necessary to force BER<0.00001 • Having a BSC with BER 0.01 calculate the following probability

  13. Thank you for your attention !

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