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arXiv 1208.2900cs.ITmath.IT
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关于MIMO X通道的可压缩自由度

On Achievable Degrees of Freedom for MIMO X Channels

Lu Yang, Wei Zhang

摘要:

本文研究了在发射端使用$M_t$天线,接收端使用$r$天线的MIMO X信道在恒定信道系数下的可达自由度。提出了一种空间干扰对齐和消除方案,以实现MIMO X信道的最大DoF。首先考虑$M_1\geq M_2\geq N_1\geq N_2$的情况,并将其分为3种病例,$3N_2<M_1+M_2<2N_1+N_2$(病例$A$)、$M_1+M_2\geq2N_1+N_2$(病例$B$)和$M_1+M_2\leq3N_2$(病例$C$)。在$A$情况下,外界$\frac{M_1+M_2+N_2}{2}$是可达的,在$B$情况下,若$M_2>N_1$,则可达的自由度等于外界$N_1+N_2$,否则小于外界的1/2或1;在$C$的情况下,如果$(3N_2-M_1-M_2)\mod 3=0$,则可实现的DoF等于外边界$2/3(M_1+M_2)$,并且如果$(3N_2-M_1-M_2)\mod 3=1 \mathrm{or} 2$,则可实现的DoF比外边界小1/3或1/6。在$M_t\leq N_r$的情况下,可以得到精确对称的自由度结果。

英文摘要:

In this paper, the achievable DoF of MIMO X channels for constant channel coefficients with $M_t$ antennas at transmitter $t$ and $N_r$ antennas at receiver $r$ ($t,r=1,2$) is studied. A spatial interference alignment and cancelation scheme is proposed to achieve the maximum DoF of the MIMO X channels. The scenario of $M_1\geq M_2\geq N_1\geq N_2$ is first considered and divided into 3 cases, $3N_2<M_1+M_2<2N_1+N_2$ (Case $A$), $M_1+M_2\geq2N_1+N_2$ (Case $B$), and $M_1+M_2\leq3N_2$ (Case $C$). With the proposed scheme, it is shown that in Case $A$, the outer-bound $\frac{M_1+M_2+N_2}{2}$ is achievable; in Case $B$, the achievable DoF equals the outer-bound $N_1+N_2$ if $M_2>N_1$, otherwise it is 1/2 or 1 less than the outer-bound; in Case $C$, the achievable DoF is equal to the outer-bound $2/3(M_1+M_2)$ if $(3N_2-M_1-M_2)\mod 3=0$, and it is 1/3 or 1/6 less than the outer-bound if $(3N_2-M_1-M_2)\mod 3=1 \mathrm{or} 2$. In the scenario of $M_t\leq N_r$, the exact symmetrical results of DoF can be obtained.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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