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Degrees of Freedom of the MIMO Interference Channel With Cooperation and Cognition

机译：具有合作与认知能力的MIMO干扰信道的自由度

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摘要

In this paper, we explore the benefits, from the perspective of degrees of freedom (DOF), of user cooperation and cognitive message sharing for a two-user multiple-input multiple-output (MIMO) Gaussian interference channel with $M_1, M_2$ antennas at transmitters and $N_1, N_2$ antennas at receivers. For the case of user cooperation (including cooperation at transmitters only, at receivers only, and at transmitters as well as receivers), the sum DOF is $min {M_1+M_2, N_1+N_2, max(M_1, N_2), max(M_2, N_1)}$ , which is the same as the sum DOF of the channel without cooperation. For the case of cognitive message sharing, the sum DOF is $min {M_1+M_2, N_1+N_2, (1-1_{T2})((1-1_{R2})$ $max(M_1, N_2) + 1_{R2} (M_1+N_2)) + 1_{T2}(M_1+M_2),$ $(1-1_{T1})((1-1_{R1})break cdot max(M_2, N_1) + 1_{R1} (M_2+N_1)) + 1_{T1}(M_1+M_2)}$ where $1_{Ti} = 1 (0)$ when transmitter $i$ is (is not) a cognitive transmitter and $1_{Ri}$ is defined in the same fashion. Our results show that while both techniques m-nay increase the sum capacity of the MIMO interference channel, only cognitive message sharing can increase the sum DOF. We also find that it may be more beneficial for a user to have a cognitive transmitter than to have a cognitive receiver.
机译：在本文中，我们从自由度（DOF）角度探讨了具有$ M_1，M_2 $的两用户多输入多输出（MIMO）高斯干扰信道的用户合作和认知消息共享的好处。发射器的天线和接收器的$ N_1，N_2 $天线。对于用户合作（包括仅在发射机处，仅在接收机处以及在发射机和接收机处的合作），DOF之和为$ min {M_1 + M_2，N_1 + N_2，max（M_1，N_2），max（ M_2，N_1）} $，这与没有合作的渠道的总自由度相同。对于认知消息共享的情况，总和DOF为$ min {M_1 + M_2，N_1 + N_2，（1-1_ {T2}）（（1-1_ {R2}）$ $ max（M_1，N_2）+ 1_ {R2}（M_1 + N_2））+ 1_ {T2}（M_1 + M_2），$ $（1-1_ {T1}）（（1-1_ {R1}）break cdot max（M_2，N_1）+ 1_ { R1}（M_2 + N_1））+ 1_ {T1}（M_1 + M_2）} $其中，当发送器$ i $是（不是）认知发送器且$ 1_ {Ri时，$ 1_ {Ti} = 1（0）$ } $以相同的方式定义。我们的结果表明，尽管两种技术都可以增加MIMO干扰信道的总和容量，但只有认知消息共享才能增加总和自由度。我们还发现，拥有认知发送器比拥有认知接收器更有益。

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