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Viveck R. Cadambe University of California, Irvine

Network Interference Management via Interference Alignment. Viveck R. Cadambe University of California, Irvine. Network Interference Management via Interference Alignment (for Wireless Communications and Distributed Storage ). Viveck R. Cadambe University of California, Irvine.

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Viveck R. Cadambe University of California, Irvine

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  1. Network Interference Management via Interference Alignment Viveck R. Cadambe University of California, Irvine

  2. Network Interference Management via Interference Alignment(for Wireless Communications and Distributed Storage) Viveck R. Cadambe University of California, Irvine

  3. Network Interference Management via Interference Alignment(for Wireless Communications and Distributed Storage) Viveck R. Cadambe University of California, Irvine

  4. Interference Alignment

  5. Interference Alignment

  6. Interference Alignment x2 x(-1) +

  7. Interference Alignment

  8. Interference Alignment

  9. Network Interference Management via Interference Alignment(for Wireless Communications and Distributed Storage) Viveck R. Cadambe University of California, Irvine

  10. Spectrum

  11. Spectrum

  12. Spectrum

  13. Claude E. Shannon

  14. Claude E. Shannon

  15. Capacity, 40 year old open problem, even for K=2! Let us look at Capacity Approximations!

  16. [Zheng-Tse 02]

  17. [Zheng-Tse 02] 2 antennas 2 antennas 24 [Telatar 95]

  18. Question : What is the number of Degrees of Freedom?

  19. SUBOPTIMAL Conjectured to be DoF optimal [Cadambe-Jafar 08] Interference Alignment

  20. [Cadambe-Jafar 08] K speaker-listener pairs in a room, K conversations How long can each conversation be active in one hour ?

  21. [Cadambe-Jafar 08] K speaker-listener in a room, K conversations How long can each conversation be active in one hour ? Interference alignment Each user gets half the cake because of interference alignment.

  22. [Maddah-Ali-Motahari-Khandani 06, Jafar-Shamai 06] Signals are designed so that, at the receivers Interfering signals overlap, Desired signals are distinguishable Works because Each receiver sees a different picture Receiver 1 Receiver 2

  23. [Cadambe-Jafar 08] 1 j j j 1 j j j 1

  24. [Cadambe-Jafar 08] 1 j j j 1 j j j 1 Transmit Real Symbols. Interference Alignsalong imaginary dimension. Each user gets half the cake!

  25. [Cadambe-Jafar 08]

  26. [Cadambe-Jafar 08] With Interference Alignment, Each user gets half the cake!

  27. [Cadambe-Jafar 08] With Interference Alignment, Each user gets half the cake!

  28. [Cadambe-Jafar 08] With Interference Alignment, Each user gets half the cake!

  29. [Cadambe-Jafar 08] With Interference Alignment, Each user gets half the cake!

  30. [Cadambe-Jafar 08] With Interference Alignment, Each user gets half the cake!

  31. Infeasible! How about finding approximately invariant subspaces?

  32. [Cadambe-Jafar 08]

  33. [Cadambe-Jafar 08] [Motahari et. al. 09]

  34. Spectrum

  35. Design principles of current wireless systems inspired by Claude E. Shannon information theory of single user systems

  36. New Theoretical Insights for Networks because of alignment Theoretical foundations of today’s networks Structured Codes* Random Codes Circularly Symmetric Signaling Asymmetric Signaling* Multicarrier Systems, Whole = sum of parts Multicarrier Systems, Whole > sum of parts *[Cadambe-Jafar-Shamai 08, Nazer-Gastpar 08, Bresler-Parekh-Tse 07, Cadambe-Jafar 09, Cadambe-Jafar-Wang 09, Cadambe-Jafar-08, Shankar et. al 08, Cadambe-Jafar 10]

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