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Q-Function

Q-Function. Alternative Representation of the Gaussian Q Function. Q - Function. Major Problem BER. Craig Solution. 2-D Q-Function. Example M-QAM SER. Simon Solution. Alternative Formulaton of Q(x). Alternative Approach. Alternative Approach. Prove. Alternative Approach.

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Q-Function

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  1. Q-Function Alternative Representation of the Gaussian Q Function

  2. Q - Function

  3. Major Problem BER

  4. Craig Solution

  5. 2-D Q-Function

  6. Example M-QAM SER

  7. Simon Solution

  8. Alternative Formulaton of Q(x)

  9. Alternative Approach

  10. Alternative Approach

  11. Prove

  12. Alternative Approach

  13. Alternative Approach ,

  14. 2-D Q-Function

  15. Alternative Approach of Q(x,y)

  16. Alternative Approach of Q(x,y)

  17. Alternative Approach of Q(x,y)

  18. Alternative Approach of Q(x,y)

  19. Conclusion • New Formulation for Q function • Use of step Function • Replace Step by its Fourier Transform • Change of variables • Better for Average BER

  20. Questions ?

  21. Resources [1] M.K Simon and M.S. Alouini, “A Unified Approach to the Performance Analysis of Digital Communications over Generalized Fading Channels”, Proc. IEEE, vol. 86, no. 9, Sep. 1998, pp. 1860 – 1877. [2] T.Y. Al-Naffouri, B. Hassibi, “On the Distribution of Indefinite Quadratic Forms in Gaussian Random Variables” under preparation. [3] Gradshteyn and Ryzhik, Table of Integrals, Series and Products. Alan Jeffrey and Daniel Zwillinger(eds), 5th edition, 1996 [4] M.K. Simon and M.S. Alouini, Digital Communication over Fading Channels, 2nd edition. Wiley, N.J. 2002

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