On the separability of parallel Gaussian interference channels

The separability in parallel Gaussian interference channels (PGICs) is studied in this paper. We generalize the separability results in one-sided PGICs (OPGICs) by Sung et al. to two-sided PGICs (TPGICs). Specifically, for strong and mixed TPGICs, we show necessary and sufficient conditions for the separability. For this, we show diagonal covariance matrices are sum-rate optimal for strong and mixed TPGICs.

[1]  Sriram Vishwanath,et al.  On the capacity of vector Gaussian interference channels , 2004, Information Theory Workshop.

[2]  H. Vincent Poor,et al.  On the capacity of MIMO interference channels , 2008, 2008 46th Annual Allerton Conference on Communication, Control, and Computing.

[3]  Aydano B. Carleial,et al.  A case where interference does not reduce capacity (Corresp.) , 1975, IEEE Trans. Inf. Theory.

[4]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[5]  Gerhard Kramer,et al.  Outer bounds on the capacity of Gaussian interference channels , 2004, IEEE Transactions on Information Theory.

[6]  Hua Wang,et al.  Gaussian Interference Channel Capacity to Within One Bit , 2007, IEEE Transactions on Information Theory.

[7]  Venugopal V. Veeravalli,et al.  Gaussian Interference Networks: Sum Capacity in the Low-Interference Regime and New Outer Bounds on the Capacity Region , 2008, IEEE Transactions on Information Theory.

[8]  H. Vincent Poor,et al.  Noisy-Interference Sum-Rate Capacity of Parallel Gaussian Interference Channels , 2009, IEEE Transactions on Information Theory.

[9]  M. J. Gans,et al.  On the Achievable Sum Rate for MIMO Interference Channels , 2006, IEEE Transactions on Information Theory.

[10]  Gerhard Kramer,et al.  A New Outer Bound and the Noisy-Interference Sum–Rate Capacity for Gaussian Interference Channels , 2007, IEEE Transactions on Information Theory.

[11]  Hiroshi Sato,et al.  The capacity of the Gaussian interference channel under strong interference , 1981, IEEE Trans. Inf. Theory.

[12]  Max H. M. Costa,et al.  The capacity region of the discrete memoryless interference channel with strong interference , 1987, IEEE Trans. Inf. Theory.

[13]  Kenneth W. Shum,et al.  Sum Capacity of One-Sided Parallel Gaussian Interference Channels , 2008, IEEE Transactions on Information Theory.

[14]  H.V. Poor,et al.  Ergodic two-user interference channels: Is separability optimal? , 2008, 2008 46th Annual Allerton Conference on Communication, Control, and Computing.

[15]  Amir K. Khandani,et al.  Capacity bounds for the Gaussian Interference Channel , 2008, 2008 IEEE International Symposium on Information Theory.