Mathematics of Signal Design for Communication Systems and Szemerédi’s and Green-Tao’s Theorems

Mathematics of Signal Design for Communication Systems and Szemerédi’s and Green-Tao’s Theorems

Hausdorff Center for Mathematics via YouTube Direct link

Motivation - High Dynamics of Orthogonal Transmission Scheme

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6 of 23

Motivation - High Dynamics of Orthogonal Transmission Scheme

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Mathematics of Signal Design for Communication Systems and Szemerédi’s and Green-Tao’s Theorems

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  1. 1 Intro
  2. 2 Motivation - Orthogonal Transmission Scheme
  3. 3 Orthogonal Transmission Scheme - Sketch
  4. 4 Motivation - Dynamics of Orthogonal Transmission Scheme
  5. 5 Drawback of OFDM - The Effect of Clipping
  6. 6 Motivation - High Dynamics of Orthogonal Transmission Scheme
  7. 7 Motivation - Tone Reservation method
  8. 8 PAPR Reduction Problem - Remarks
  9. 9 Necessary and Sufficient Conditions - Essential Subspaces
  10. 10 Necessary Condition - Sketch of Proof
  11. 11 Outline
  12. 12 Solvability of PAPR Problem - OFDM
  13. 13 Szemerédi Theorem on Arithmetic Progressions
  14. 14 Szemerédi Theorem - Historical Remarks
  15. 15 Szemerédi Theorem - Asymptotic Case and Probabilistic Case
  16. 16 Solvability of PAPR reduction problem & Arithmetic Progressions
  17. 17 Asymptotic Tightenings of Thm. 3.7
  18. 18 Walsh functions
  19. 19 Perfect Walsh Sum
  20. 20 PAPR reduction problem for CDMA Case - PWS
  21. 21 Asymptotic results for PWS
  22. 22 Summary and Conclusions
  23. 23 PAPR Reduction Problem - Formulation

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