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Topological Interference Alignment in Wireless Networks Babak Hassibi joint work with Kishore Jaganathan and Christos Thramboulidis CaliforniaInstituteofTechnology Smart Antennas Workshop (Paulraj’s 70’th Celebration) Stanford, August 1, 2014 BabakHassibi (Caltech) Paulraj’s70th Stanford,August1,2014 1/41 Topological Interference Alignment (cid:73) low-rank matrix factorization (cid:73) index coding, network coding Practical considerations (cid:73) finite SNR (cid:73) efficient algortihms Simulation results (cid:73) cellular networks: comparison to frequency re-use (cid:73) ad hoc networks: comparison to graph coloring Conclusion Outline Interference Alignment (cid:73) degrees-of-freedom (cid:73) channel state issues, ergodic interference alignment BabakHassibi (Caltech) Paulraj’s70th Stanford,August1,2014 2/41 Practical considerations (cid:73) finite SNR (cid:73) efficient algortihms Simulation results (cid:73) cellular networks: comparison to frequency re-use (cid:73) ad hoc networks: comparison to graph coloring Conclusion Outline Interference Alignment (cid:73) degrees-of-freedom (cid:73) channel state issues, ergodic interference alignment Topological Interference Alignment (cid:73) low-rank matrix factorization (cid:73) index coding, network coding BabakHassibi (Caltech) Paulraj’s70th Stanford,August1,2014 2/41 Simulation results (cid:73) cellular networks: comparison to frequency re-use (cid:73) ad hoc networks: comparison to graph coloring Conclusion Outline Interference Alignment (cid:73) degrees-of-freedom (cid:73) channel state issues, ergodic interference alignment Topological Interference Alignment (cid:73) low-rank matrix factorization (cid:73) index coding, network coding Practical considerations (cid:73) finite SNR (cid:73) efficient algortihms BabakHassibi (Caltech) Paulraj’s70th Stanford,August1,2014 2/41 Conclusion Outline Interference Alignment (cid:73) degrees-of-freedom (cid:73) channel state issues, ergodic interference alignment Topological Interference Alignment (cid:73) low-rank matrix factorization (cid:73) index coding, network coding Practical considerations (cid:73) finite SNR (cid:73) efficient algortihms Simulation results (cid:73) cellular networks: comparison to frequency re-use (cid:73) ad hoc networks: comparison to graph coloring BabakHassibi (Caltech) Paulraj’s70th Stanford,August1,2014 2/41 Outline Interference Alignment (cid:73) degrees-of-freedom (cid:73) channel state issues, ergodic interference alignment Topological Interference Alignment (cid:73) low-rank matrix factorization (cid:73) index coding, network coding Practical considerations (cid:73) finite SNR (cid:73) efficient algortihms Simulation results (cid:73) cellular networks: comparison to frequency re-use (cid:73) ad hoc networks: comparison to graph coloring Conclusion BabakHassibi (Caltech) Paulraj’s70th Stanford,August1,2014 2/41 All have been successfully expolited in practical systems (perhaps) with the exception of interference. Wireless Networks As we all know, wireless communication systems are characterized by 1 broadcast during transmission 2 interference during reception 3 random fading 4 path-loss 5 mobility and time-varying channel conditions 6 time-varying traffic patterns BabakHassibi (Caltech) Paulraj’s70th Stanford,August1,2014 3/41 Wireless Networks As we all know, wireless communication systems are characterized by 1 broadcast during transmission 2 interference during reception 3 random fading 4 path-loss 5 mobility and time-varying channel conditions 6 time-varying traffic patterns All have been successfully expolited in practical systems (perhaps) with the exception of interference. BabakHassibi (Caltech) Paulraj’s70th Stanford,August1,2014 3/41 Focus, instead, on degrees-of-freedom: C (SNR) sum DoF = lim . SNR→∞ logSNR Interference Channels y = h x + h x +z , i = 1...,n i ii i j(cid:54)=i ij j j capacity is, by and large, unknown (cid:80) BabakHassibi (Caltech) Paulraj’s70th Stanford,August1,2014 4/41 Interference Channels y = h x + h x +z , i = 1...,n i ii i j(cid:54)=i ij j j capacity is, by and large, unknown (cid:80) Focus, instead, on degrees-of-freedom: C (SNR) sum DoF = lim . SNR→∞ logSNR BabakHassibi (Caltech) Paulraj’s70th Stanford,August1,2014 4/41

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ad hoc networks: comparison to graph coloring. Babak Hassibi log SNR . Babak Hassibi (Caltech). Paulraj's 70th. Stanford, August 1, 2014. 4 / 41

Topological Interference Alignment in Wireless Networks PDF

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ad hoc networks: comparison to graph coloring. Babak Hassibi log SNR . Babak Hassibi (Caltech). Paulraj's 70th. Stanford, August 1, 2014. 4 / 41

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