Outline o Motivation Network x Wireless Interference Channel Approaches NA in the middle precoding Based na O PBNA Feasibility of pbna o Conclusion
o Motivation: Network ≈ Wireless Interference Channel o Approaches: NA in the middle, Precoding-Based NA o PBNA Feasibility of PBNA o Conclusion 11 Outline
NA in the middle t=1 t=2 X 22 Za Z3 22 NA in the middle: zl=mn(x')X,+ m21(x)X2+m3(x )X3 (x2)X1+m21(x2)X2 B Nazer, et al, Ergodic Interference Alignment 12
12 NA in the Middle 𝑋1 𝑋2 𝑋3 𝑍3 1 𝑍2 1 𝑍1 1 t=1 𝑋1 𝑋2 𝑋3 𝑍3 2 𝑍2 2 𝑍1 2 t=2 ≠ = = NA in the middle: B. Nazer, et al, "Ergodic Interference Alignment
NA in the Middle: Pros cons Pros: Achieve 2 in exactly 2 time slots C ons. Finding code is NOT easy
13 NA in the Middle: Pros & Cons Pros: Achieve ½ in exactly 2 time slots Cons: Finding code is NOT easy
Precoding-Based NA-I 2n+1 uses of network X or 2n+l symbol extension n+1 y1=VX 2n+1 n V 2n+1 Zi=Mlivixitm2iv2x2+ M3i v3X3 m(x2n+1) 14 V.R. Cadambe and S.A. Jafar, Interference alignment and degrees of Freedom of the K-User Interference Channel
14 Precoding-Based NA - I S1 S2 S3 D1 D2 D3 2n+1 uses of network or 2n+1 symbol extension x1 x2 x3 n+1 n n y1=V1x1 y2=V2x2 y3=V3x3 2n+1 2n+1 2n+1 V. R. Cadambe and S. A. Jafar, "Interference Alignment and Degrees of Freedom of the K-User Interference Channel
Precoding- Based na-工I Zi= milviX1tMi2 v2x2+Mi3v3x3 M1Ⅴ1x1 span(M12 V2)=span(M13v3) M3V3X3 M22v2X2 3A span(M23 V3)C span(m2l Align interferences MoiVix M33V3X3 M32v2X2 span(M32 V2)C span (M31 V1) MiV
15 Precoding-Based NA - II M11V1x1 M12V2x2 M13V3x3 M22V2x2 M21V1x1 M23V3x3 M33V3x3 M32V2x2 M31V1x1 Align interferences