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Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
Interference...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
1 Motivation...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
The Big Prob...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
The Big Prob...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
The Big Prob...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
The Big Prob...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
Coding Again...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
Coding Again...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
1 Motivation...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
Closed Loop ...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
Challenges i...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
Challenges i...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
Challenges i...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
1 Motivation...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
Degrees of F...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
Degrees of F...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
Degrees of F...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
1 Motivation...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
System Model...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
CSI Model
Pe...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
Alternating ...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
ICR Scheme
P...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
ICR Scheme
P...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
ICR Scheme
P...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
ICR Scheme
P...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
ICR Scheme
P...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
ICR Scheme
U...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
Synergistic ...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
Upper Bound ...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
DoF Region C...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
DoF Region C...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
DoF Region C...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
DoF Region C...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
DoF Region C...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
ICR Scheme v...
Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
Results
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Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
Results
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Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
Questions ?
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Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT
Thank You !
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Interference Management with Limited Channel State Information in Wireless Networks

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Interference Management with Limited Channel State Information in Wireless Networks

  1. 1. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT Interference Management with Limited Channel State Information in Wireless Networks Mohamed Seif, Amr El-keyi, and Mohammed Nafie, "Achievable Degrees of Freedom of the K-user MISO Broadcast Channel with Alternating CSIT via Interference Creation-Resurrection", IEEE 84th Vehicular Technology Conference: VTC 2016-Fall, Montreal, Canada, Sept. 2016 Mohamed Seif Wireless Intelligent Networks Center (WINC), Nile University, Egypt July 27, 2016 Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 1
  2. 2. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT 1 Motivation 2 Channel Feedback in Communications 3 Degrees of Freedom (DoF) notion 4 ICR Scheme for Alternating CSIT 5 Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 2
  3. 3. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT The Big Problem in Wireless Communications Figure: An illustrative example for a heterogeneous network. Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 3
  4. 4. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT The Big Problem in Wireless Communications Figure: An illustrative example for a heterogeneous network. Interference is a fundamental bottleneck in many wireless systems Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 3
  5. 5. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT The Big Problem in Wireless Communications Figure: An illustrative example for a heterogeneous network. Interference is a fundamental bottleneck in many wireless systems Interference management is getting convoluted Homogeneous → Heterogeneous Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 3
  6. 6. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT The Big Problem in Wireless Communications Figure: An illustrative example for a heterogeneous network. Interference is a fundamental bottleneck in many wireless systems Interference management is getting convoluted Homogeneous → Heterogeneous How to manage interference in an efficient manner? Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 3
  7. 7. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT Coding Against Interference 1 Channel state information at transmitter. Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 4
  8. 8. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT Coding Against Interference Interference shaping using CSIT 1 is a key enabler for mitigating interference 1 Channel state information at transmitter. Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 4
  9. 9. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT 1 Motivation 2 Channel Feedback in Communications 3 Degrees of Freedom (DoF) notion 4 ICR Scheme for Alternating CSIT 5 Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 5
  10. 10. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT Closed Loop Systems Figure: Illustration of the CSIT feedback and sharing process. Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 6
  11. 11. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT Challenges in Obtaining Global and Accurate CSIT Tx Channel Feedback User1 User2 User3 Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 7
  12. 12. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT Challenges in Obtaining Global and Accurate CSIT Tx Channel Feedback User1 User2 User3 Possible error sources in the CSI feedback process Channel estimation error Quantization error (e.g., Compressed channel feedback) Feedback delay (Maddah Ali et al.’12) Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 7
  13. 13. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT Challenges in Obtaining Global and Accurate CSIT Tx Channel Feedback User1 User2 User3 Possible error sources in the CSI feedback process Channel estimation error Quantization error (e.g., Compressed channel feedback) Feedback delay (Maddah Ali et al.’12) CSIT sharing via backhaul links (e.g., CoMP in LTE) Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 7
  14. 14. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT 1 Motivation 2 Channel Feedback in Communications 3 Degrees of Freedom (DoF) notion 4 ICR Scheme for Alternating CSIT 5 Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 8
  15. 15. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT Degrees of Freedom (DoF) DoF notion: Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 9
  16. 16. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT Degrees of Freedom (DoF) DoF notion: 1 Lizhong and Tse in IEEE IT Trans. 2003 Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 9
  17. 17. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT Degrees of Freedom (DoF) DoF notion: 1 Lizhong and Tse in IEEE IT Trans. 2003 2 Rigorous approximation to the network capacity in the high SNR regime. Mathematically, C∑(P) = DoFlog(P) + o(log(P)) (1) where limP→∞ o(log(P)) log(P) = 0. Alternatively, It represents the number of interference-free signalling dimensions in the network. Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 9
  18. 18. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT 1 Motivation 2 Channel Feedback in Communications 3 Degrees of Freedom (DoF) notion 4 ICR Scheme for Alternating CSIT 5 Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 10
  19. 19. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT System Model The received signal at the ith receiver is given by Yi (t) = Hi (t)X(t) + Ni (t), i = 1,...,K (2) The total DoF of the network is defined as DΣ(K) = max (d1,d2,...,dK )∈D d1 + d2 + ⋅⋅⋅ + dK (3) UE3 UE1 UE2 UE4 UEi )(tHi K-antenna Tx UEK Figure: Network Model Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 11
  20. 20. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT CSI Model Perfect and global CSIR. Three states of the availability of CSIT about each receiver: Perfect CSIT (P): instantaneous and without error. Delayed CSIT (D): delay greater than or equal one time slot duration (coherence time) and without error. No CSIT (N): not available to transmitter at all. UE3 UE1 UE2 UE4 UEi )(tHi K-antenna Tx UEK Introduced by Tandon and Shamai in IEEE IT Trans. 2012 for the 2-user BC Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 12
  21. 21. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT Alternating CSIT Model The fraction of time associated with CSIT state S, λS = ∑ n t=1 ∑ K i=1 I(Si (t) = S) nK (4) where n is the number of channel uses, ∑ S∈{P,D,N} λS = 1. (5) UE3 UE1 UE2 UE4 UEi )(tHi K-antenna Tx UEK Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 13
  22. 22. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT ICR Scheme Phase I: Interference Creation UE2 UE1 Tx UE3 1u 2u 3u ),,( 321 1 1 uuuL ),,( 321 1 2 uuuI ),,( 321 1 3 uuuI N D D Figure: ICR scheme t = 1. Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 14
  23. 23. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT ICR Scheme Phase I: Interference Creation UE2 UE1 Tx UE3 1v 2v 3v ),,( 321 1 1 vvvI ),,( 321 1 2 vvvL ),,( 321 1 3 vvvI N D D Figure: ICR scheme t = 2. Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 15
  24. 24. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT ICR Scheme Phase I: Interference Creation UE2 UE1 Tx UE3 1p 2p 3p ),,( 321 1 1 pppI ),,( 321 1 2 pppI ),,( 321 1 3 pppL D D N Figure: ICR scheme t = 3. Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 16
  25. 25. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT ICR Scheme Phase II: Interference Resurrection (Based on orthogonal projection pre-coding and PNC) UE2 UE1 Tx UE3 ),,( 321 2 1 uuuL ),,( 321 2 2 vvvL ),,( 321 2 3 pppL Old interference terms from UE3 P N P Figure: ICR scheme t = 4. Based on orthogonal projection pre-coding and PNC Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 17
  26. 26. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT ICR Scheme Phase II: Interference Resurrection (Based on orthogonal projection pre-coding and PNC) UE2 UE1 Tx UE3 ),,( 321 3 1 uuuL ),,( 321 3 2 vvvL ),,( 321 3 3 pppL Old interference terms from UE2 N P P Figure: ICR scheme t = 5. Based on orthogonal projection pre-coding and PNC Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 18
  27. 27. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT ICR Scheme UE2 UE1 Tx UE3 1u 2u 3u 1v 2v 3v 1p 2p 3p Figure: D∑ = 9 5 , S5 123 = {NDD,DND,DDN,PPN,PNP}. Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 19
  28. 28. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT Synergistic Alternating CSIT Phase I: Creation Phase II: Resurrection (NDD,DND,DDN) (PPN,PNP) (NDD,DDN,DND) (PNP,PPN) (DND,DDN,DDN) (PPN,NPP) (DND,DDN,NDD) (NPP,PPN) (DDN,DND,NDD) (NPP,PNP) (DDN,NDD,DND) (PNP,NPP) Table: All synergistic CSIT patterns for the 3-user BC. Synergy Definition Synergy is the interaction of multiple elements in a system to produce an effect greater than the sum of their individual effects. Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 20
  29. 29. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT Upper Bound on the DoF for the K-user BC Bounds were introduced by Tandon et al.’13 DΣ(K) = d1 + d2 + ⋅⋅⋅ + dK ≤ K2 + (K − 1)∑K i=1 γi 2K − 1 (6) where, γi = ∑n t=1 I(Si(t) = P) n ≤ γ,∀i = 1,...,K (7) Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 21
  30. 30. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT DoF Region Characterization for the 3-user BC Given perfect CSIT distribution (γ1,γ2,γ3), P1: max d1,d2,d3 d1 + d2 + d3 s.t. 3d1 + d2 + d3 ≤ 3 + 2γ1 (8) d1 + 3d2 + d3 ≤ 3 + 2γ2 (9) d1 + d2 + 3d3 ≤ 3 + 2γ3 (10) 0 ≤ di ≤ 1, ∀i = 1,2,3 (11) Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 22
  31. 31. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT DoF Region Characterization for the 3-user BC Given perfect CSIT distribution (γ1,γ2,γ3), P1: max d1,d2,d3 d1 + d2 + d3 s.t. 3d1 + d2 + d3 ≤ 3 + 2γ1 (8) d1 + 3d2 + d3 ≤ 3 + 2γ2 (9) d1 + d2 + 3d3 ≤ 3 + 2γ3 (10) 0 ≤ di ≤ 1, ∀i = 1,2,3 (11) Closed form solution, d∗ i = 3 + 4γi − ∑3 j=1,j≠i γj 5 , ∀i = 1,2,3 (12) Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 22
  32. 32. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT DoF Region Characterization for the 3-user BC Given perfect CSIT distribution (γ1,γ2,γ3), P1: max d1,d2,d3 d1 + d2 + d3 s.t. 3d1 + d2 + d3 ≤ 3 + 2γ1 (13) d1 + 3d2 + d3 ≤ 3 + 2γ2 (14) d1 + d2 + 3d3 ≤ 3 + 2γ3 (15) 0 ≤ di ≤ 1, ∀i = 1,2,3 (16) Solution, Given: (γ1,γ2,γ3) = (2 5 , 1 5 , 1 5 ) Optimal DoF tuple: d∗ = (0.84,0.64,0.64) Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 23
  33. 33. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT DoF Region Characterization for the 3-user BC Given perfect CSIT distribution (γ1,γ2,γ3), P1: max d1,d2,d3 d1 + d2 + d3 s.t. 3d1 + d2 + d3 ≤ 3 + 2γ1 (13) d1 + 3d2 + d3 ≤ 3 + 2γ2 (14) d1 + d2 + 3d3 ≤ 3 + 2γ3 (15) 0 ≤ di ≤ 1, ∀i = 1,2,3 (16) Solution, Given: (γ1,γ2,γ3) = (2 5 , 1 5 , 1 5 ) Optimal DoF tuple: d∗ = (0.84,0.64,0.64) Achievable DoF tuple: d = (0.6,0.6,0.6). Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 23
  34. 34. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT DoF Region Characterization for the 3-user BC Given perfect CSIT distribution (γ1,γ2,γ3), P1: max d1,d2,d3 d1 + d2 + d3 s.t. 3d1 + d2 + d3 ≤ 3 + 2γ1 (13) d1 + 3d2 + d3 ≤ 3 + 2γ2 (14) d1 + d2 + 3d3 ≤ 3 + 2γ3 (15) 0 ≤ di ≤ 1, ∀i = 1,2,3 (16) Solution, Given: (γ1,γ2,γ3) = (2 5 , 1 5 , 1 5 ) Optimal DoF tuple: d∗ = (0.84,0.64,0.64) Achievable DoF tuple: d = (0.6,0.6,0.6). Conjecture: The outer bound can be achieved by adding multi-cast messaging in the network. Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 23
  35. 35. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT ICR Scheme vs MAT Scheme Achievable DoF for this network is given by DΣ(K) = K2 2K − 1 > K 1 + 1 2 + ⋅⋅⋅ + 1 K Delayed CSIT - MAT scheme (17) and the distribution of fraction of time of the different states {P,D,N} required for our proposed scheme is λP = (K − 1)2 2K2 − K ,λD = K − 1 2K − 1 ,λN = 1 K . (18) Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 24
  36. 36. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT Results 1 2 3 4 5 6 7 8 9 10 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 K (users) DoF sum (K) CSIT with alternation CSIT with all delayed Figure: DoF comparison for broadcast channel between all delayed and alternating CSIT models. Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 25
  37. 37. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT Results 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 K (users) D Σ (K) Upper bound on the K−user BC, γ=1 Upper bound on alternating CSIT for the K−user BC Achievable DoF based on ICR scheme Figure: DoF comparison for the K-user BC. Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 26
  38. 38. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT Questions ? Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 27
  39. 39. Motivation Channel Feedback in Communications Degrees of Freedom (DoF) notion ICR Scheme for Alternating CSIT Thank You ! Mohamed Seif Nile University Interference Management with Limited Channel State Information in Wireless Networks 28

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