Canonical conditions for K/2 degrees of freedom
作者： David Stotz , Syed Ali Jafar , Helmut Bolcskei , Shlomo Shamai
DOI: 10.1109/ISIT.2016.7541507
关键词:
摘要: Stotz and Bolcskei, 2015, identified an explicit condition for K/2 degrees of freedom (DoF) in constant single-antenna interference channels (ICs). This is expressed terms linear independence—over the rationals—of monomials off-diagonal entries IC matrix satisfied almost all matrices. There is, however, a prominent class matrices that admits DoF but fails to satisfy this condition. The main contribution present paper more general (in fact 1/2 each user) that, inter alia, encompasses example class. While existing by Bolcskei algebraic nature, new canonical sense capturing essence alignment virtue being generic injectivity guarantees separability signal interference.
sci-hub.se 参考文章(10)
Abbas El Gamal, Young-Han Kim, Network Information Theory ,(2012)
V.R. Cadambe, S.A. Jafar, Interference Alignment and Degrees of Freedom of the $K$ -User Interference Channel IEEE Transactions on Information Theory. ,vol. 54, pp. 3425- 3441 ,(2008) , 10.1109/TIT.2008.926344
Abinesh Ramakrishnan, Sundar R. Krishnamurthy, Syed A. Jafar, Yaming Yu, Degrees of freedom of interference channel with rank-deficient transfer matrix international symposium on information theory. pp. 1221- 1225 ,(2014) , 10.1109/ISIT.2014.6875027
A. Rényi, On the dimension and entropy of probability distributions Acta Mathematica Hungarica. ,vol. 10, pp. 193- 215 ,(1959) , 10.1007/BF02063299
Yihong Wu, Shlomo Shamai Shitz, Sergio Verdu, Information Dimension and the Degrees of Freedom of the Interference Channel IEEE Transactions on Information Theory. ,vol. 61, pp. 256- 279 ,(2015) , 10.1109/TIT.2014.2366238
A. Host-Madsen, A. Nosratinia, The multiplexing gain of wireless networks international symposium on information theory. pp. 2065- 2069 ,(2005) , 10.1109/ISIT.2005.1523709
RaÚl H. Etkin, Erik Ordentlich, The Degrees-of-Freedom of the $K$ -User Gaussian Interference Channel Is Discontinuous at Rational Channel Coefficients IEEE Transactions on Information Theory. ,vol. 55, pp. 4932- 4946 ,(2009) , 10.1109/TIT.2009.2030473
David Stotz, Helmut Bolcskei, Characterizing Degrees of Freedom Through Additive Combinatorics IEEE Transactions on Information Theory. ,vol. 62, pp. 6423- 6435 ,(2016) , 10.1109/TIT.2016.2593635
Helmut Bolcskei, David Stotz, Degrees of Freedom in Vector Interference Channels IEEE Transactions on Information Theory. ,vol. 62, pp. 4172- 4197 ,(2016) , 10.1109/TIT.2016.2536666
Mohammad Ali Maddah-Ali, Shahab Oveis Gharan, Amir Keyvan Khandani, Abolfazl Seyed Motahari, Real Interference Alignment: Exploiting the Potential of Single Antenna Systems IEEE Transactions on Information Theory. ,vol. 60, pp. 4799- 4810 ,(2014) , 10.1109/TIT.2014.2329865