Error control coding for wireless communication technologies Background
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 BSC is fully characterized by
BSC as an additive channel model Binary Symmetric Channel Error bit
Extension to vectors error vector
Block error probability
How to achieve reliable communication over an unreliable channel errors 0 5 x 00000 BSC 01010 1 Majority dec. BSC’ Problem: for the sake of reliable communication we have to decrease the data speed
Better Qo. S Reliable communication by repeaters Loss in data speed
Coding in general 00 00 01 10 11 00000 010101 11111 00000 00 01010 01 10101 10 11111 11 00 10001 10 10101 001000 00 00000 01010 00 00100 11 11111 11011 11
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
Homework assingment Develop and implement the optimal C(7, 3) code !
Expected Quiz questions 1. Having a BSC with BER 0. 01, how many repeats are necessary to force BER<0. 00001 2. Having a BSC with BER 0. 01 calculate the following probability
Thank you for your attention !
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