1998年,Birk在索引编码中使用了干扰对齐的思想。
Birk Y, Kol T. Informed-Source Coding-on-Demand (ISCOD) over Broadcast Channels[C]// INFOCOM '98 Seventeenth Annual Joint Conference of the IEEE Computer and Communications Societies Proceedings IEEE. 1998:1257-1264.
2006年,Maddah-Ali在MIMOX干扰信道中再次提到了干扰对齐的思想。
(Maddah-Ali M A, Motahari A S, Khandani A K. Signaling over MIMO Multi-Base Systems: Combination of Multi-Access and Broadcast Schemes[C]// IEEE International Symposium on Information Theory. Seattle, WA, United States.IEEE,2006:2104-2108.)
之后在MIMOX干扰信道下,获得了4/3的总自由度,这远远超过了之前学术界对干扰信道容量的认识。
(M. A. Maddah-Ali, A, S. Motahari, and A. K. Khandani, "Communication over MIMO X channels: Interference alignment, decomposition, and performance analysis/' Information Theory, IEEE Transactions on, vol. 54, pp. 3457-3470, 2008)
干扰对齐(IA)这个词语最早出现在Jafar的关于MIMOX干扰信道自由度研究的文献中,
Jafar S A, Shamai S. Degrees of Freedom Region of the MIMO X Channel[J]. IEEE Transactions on Information Theory, 2008, 54(1): 151-170.
2008年,Jafar给出了K用户单天线干扰信道的自由度,系统化了干扰对齐的思想,给出了渐进干扰对齐的算法,成为干扰对齐的里程碑性事件。
(V. R. Cadambe and S. A. Jafar, “Interference alignment and the degree of freedom for the K user interference channel," IEEE Trans. Inf. Theory, vol. 54, no. 8, pp. 3425-3441, Aug. 2008)
分布式迭代算法
K. Gomadam, V. R. Cadambe, and S. A. Jafar, “A distributed numerical approach to interference alignment and applications to wireless interference networks,” IEEE Trans. Inf. Theory, vol. 57, no. 6, pp. 3309–3322, Jun. 2011.
研究了基于均方误差方法的干扰对齐算法
单波D. A. Schmidt, C. Shi, R. A. Berry, M. L. Honig, and W. Utschick, “Minimum mean squared error interference alignment”, 2009 Conference Record of the Forty-Third Asilomar Con-ference on Signals, Systems and Computers, pp.1106-1110, 1-4 Nov. 2009.
多波H. Shen, B. Li, M. Tao, and X. Wang, “MSE-based transceiver designs for the MIMO interference channel”, IEEE Trans. Wir. Comm., vol.9, no.11, pp.3480-3489, Nov. 2010.