Dirty-paper coding techniques for compound MISO broadcast channels: ca DoF analysis

This work investigates optimal Degrees of Freedom (DoF) achieving schemes for the MISO Compound Broadcast Channels (BC) where a source is equipped with M antennas, and communicates with 2 single antennas receivers. We develop a modified Dirty Paper Coding scheme that yields the optimal DoF for some Compound MISO BCs in the complex field. This coding scheme offers a “non-linear” alternative to interference alignment at the receivers which yields higher rates in the finite ranges of power. For asymptotic power regimes, it allows for fractional DoF of 1/2, while being of simple formulation and straightforward application to secondary transmissions in Compound Cognitive networks.

[1]  Shlomo Shamai,et al.  On the Synergistic Benefits of Alternating CSIT for the MISO Broadcast Channel , 2013, IEEE Transactions on Information Theory.

[2]  Shlomo Shamai,et al.  The Capacity Region of the Degraded Multiple-Input Multiple-Output Compound Broadcast Channel , 2009, IEEE Transactions on Information Theory.

[3]  Shlomo Shamai,et al.  The Capacity Region of the Gaussian Multiple-Input Multiple-Output Broadcast Channel , 2006, IEEE Transactions on Information Theory.

[4]  Syed A. Jafar,et al.  Interference Alignment: A New Look at Signal Dimensions in a Communication Network , 2011, Found. Trends Commun. Inf. Theory.

[5]  Katalin Marton,et al.  A coding theorem for the discrete memoryless broadcast channel , 1979, IEEE Trans. Inf. Theory.

[6]  T. Cover,et al.  Writing on colored paper , 2001, Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252).

[7]  Bernard C. Picinbono,et al.  Second-order complex random vectors and normal distributions , 1996, IEEE Trans. Signal Process..

[8]  Shlomo Shamai,et al.  On the Compound MIMO Broadcast Channel , 2007 .

[9]  Max H. M. Costa,et al.  Writing on dirty paper , 1983, IEEE Trans. Inf. Theory.

[10]  Mohammad Ali Maddah-Ali.  On the degrees of freedom of the compound MISO broadcast channels with finite states , 2010, 2010 IEEE International Symposium on Information Theory.

[11]  Ying-Chang Liang,et al.  The capacity region of a class of two-user degraded compound broadcast channels , 2013, 2013 IEEE International Symposium on Information Theory.

[12]  Shlomo Shamai,et al.  On Degrees of Freedom Region of MIMO Networks Without Channel State Information at Transmitters , 2012, IEEE Transactions on Information Theory.

[13]  Erry Gunawan,et al.  Ieee Transactions on Signal Processing, Accepted 1 Transmit Optimization with Improper Gaussian Signaling for Interference Channels , 2022 .

[14]  Sennur Ulukus,et al.  Achievable Rates in Gaussian MISO Channels with Secrecy Constraints , 2007, 2007 IEEE International Symposium on Information Theory.