Interference Alignment With Asymmetric Complex Signaling—Settling the Høst-Madsen–Nosratinia Conjecture

@article{Cadambe2010InterferenceAW,
  title={Interference Alignment With Asymmetric Complex Signaling—Settling the H{\o}st-Madsen–Nosratinia Conjecture},
  author={V. Cadambe and S. Jafar and C. Wang},
  journal={IEEE Transactions on Information Theory},
  year={2010},
  volume={56},
  pages={4552-4565}
}
It has been conjectured by Hø-Madsen and Nosratinia that complex Gaussian interference channels with constant channel coefficients have only one degree-of-freedom regardless of the number of users. While several examples are known of constant channels that achieve more than 1 degree-of-freedom, these special cases only span a subset of measure zero. In other words, for almost all channel coefficient values, it is not known if more than 1 degree-of-freedom is achievable. In this paper, we settle… Expand
191 Citations
Interference alignment with asymmetric complex signaling
  • S. Jafar, V. Cadambe, C. Wang
  • Mathematics
  • 2009 47th Annual Allerton Conference on Communication, Control, and Computing (Allerton)
  • 2009
  • 86
Interference alignment with doubly layered signaling for constant SISO interference channels
Interference Alignment: From Degrees of Freedom to Constant-Gap Capacity Approximations
  • 71
  • PDF
Capacity of a class of symmetric SIMO Gaussian interference channels within O(1)
  • 46
Improper Signaling Versus Time-Sharing in the SISO Z-Interference Channel
  • 13
Degrees of Freedom of the MIMO 2x2 Interference Network with General Message Sets
  • 2
  • Highly Influenced
  • PDF
Exploiting Channel Correlations - Simple Interference Alignment Schemes with No CSIT
  • S. Jafar
  • Computer Science, Mathematics
  • 2010 IEEE Global Telecommunications Conference GLOBECOM 2010
  • 2010
  • 121
  • PDF
On the Robustness of Lattice Interference Alignment
  • 24
  • PDF
Channel Diversity Needed for Vector Space Interference Alignment
  • 5
  • PDF
Blind Interference Alignment
  • S. Jafar
  • Computer Science
  • IEEE Journal of Selected Topics in Signal Processing
  • 2012
  • 217
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 31 REFERENCES
Interference Alignment and the Degrees of Freedom for the 3 User Interference Channel
  • 100
On the Degrees-of-Freedom of the K-user Gaussian interference channel
  • R. Etkin, E. Ordentlich
  • Mathematics, Computer Science
  • 2009 IEEE International Symposium on Information Theory
  • 2009
  • 122
  • PDF
The Degrees-of-Freedom of the $K$-User Gaussian Interference Channel Is Discontinuous at Rational Channel Coefficients
  • 116
  • PDF
Degrees of Freedom of the User MIMO Interference Channel
  • 42
Degrees of Freedom Region of the MIMO $X$ Channel
  • S. Jafar, S. Shamai
  • Mathematics, Computer Science
  • IEEE Transactions on Information Theory
  • 2008
  • 766
  • PDF
Degrees of Freedom of the K User M times N MIMO Interference Channel
  • 400
Interference Alignment and the Degrees of Freedom of Wireless $X$ Networks
  • 403
  • PDF
Multiple Access Outerbounds and the Inseparability of Parallel Interference Channels
  • V. Cadambe, S. Jafar
  • Computer Science, Mathematics
  • IEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference
  • 2008
  • 30
  • PDF
Interference Alignment and Degrees of Freedom of the $K$-User Interference Channel
  • V. Cadambe, S. Jafar
  • Computer Science, Mathematics
  • IEEE Transactions on Information Theory
  • 2008
  • 2,704
  • PDF
...
1
2
3
4
...