Achievable rate regions for cognitive radio Gaussian fading channels with partial CSIT

We study the simplest version of Gaussian fading Cognitive Radio (CR) interference channel which comprises of two transmitter-receiver pairs. The primary transmitter (PTx) and primary receiver (PRx) are equipped with single antenna each whereas the cognitive transmitter (CTx) and the cognitive receiver (CRx) may be equipped with multiple antennas in our setting although this pair is also restricted to single stream transmission. The channel state information is partial such that each transmitter knows its channel to the PRx but has no information about its channel to the CRx. This contribution proposes two simple transmission strategies focusing the CR channels in the so-called “overlay paradigm” where the CTx not only transmits its own message but helps as well transmitting the primary message. In the first strategy, the primary message is independently encoded at the two transmitters whereas the same primary message encoding is used in the second strategy which not only allows the coherent signal combining at the PRx but also the possibility of complete interference cancellation at the CRx even in the limiting case when the CRx is equipped only with two antennas. The simulation results demonstrate that the proposed strategy with same primary message encoding shows considerable performance benefit over the strategy where the primary message is independently encoded at the two transmitters.

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

[2]  Ali H. Sayed,et al.  A Leakage-Based Precoding Scheme for Downlink Multi-User MIMO Channels , 2007, IEEE Transactions on Wireless Communications.

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

[4]  Te Sun Han,et al.  A new achievable rate region for the interference channel , 1981, IEEE Trans. Inf. Theory.

[5]  Hiroshi Sato,et al.  Two-user communication channels , 1977, IEEE Trans. Inf. Theory.

[6]  Aydano B. Carleial,et al.  Interference channels , 1978, IEEE Trans. Inf. Theory.

[7]  Pramod Viswanath,et al.  Cognitive Radio: An Information-Theoretic Perspective , 2009, IEEE Transactions on Information Theory.

[8]  Joseph Mitola,et al.  Cognitive Radio An Integrated Agent Architecture for Software Defined Radio , 2000 .

[9]  Umer Salim,et al.  Mixed CSIT DL Channel: Gains with an Additional Receive Antenna , 2011, 2011 IEEE 73rd Vehicular Technology Conference (VTC Spring).

[10]  Andrea J. Goldsmith,et al.  Breaking Spectrum Gridlock With Cognitive Radios: An Information Theoretic Perspective , 2009, Proceedings of the IEEE.

[11]  Roy D. Yates,et al.  Capacity of Interference Channels With Partial Transmitter Cooperation , 2007, IEEE Transactions on Information Theory.

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

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

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

[15]  Patrick Mitran,et al.  Achievable rates in cognitive radio channels , 2006, IEEE Transactions on Information Theory.

[16]  Wei Wu,et al.  Capacity of a Class of Cognitive Radio Channels: Interference Channels With Degraded Message Sets , 2007, IEEE Transactions on Information Theory.