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Degrees of Freedom of the $K$ User $M times N$ MIMO Interference Channel

机译:$ K $用户的自由度$ M乘以N $ MIMO干扰信道

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摘要

We provide inner bound and outer bound for the total number of degrees of freedom of the $K$ user multiple-input multiple-output (MIMO) Gaussian interference channel with $M$ antennas at each transmitter and $N$ antennas at each receiver if the channel coefficients are time-varying and drawn from a continuous distribution. The bounds are tight when the ratio ${max(M,N) over min(M,N)}=R$ is equal to an integer. For this case, we show that the total number of degrees of freedom is equal to $min(M,N)K$ if $K leq R$ and $min(M,N){R over R+1}K$ if $K > R$. Achievability is based on interference alignment. We also provide examples where using interference alignment combined with zero forcing can achieve more degrees of freedom than merely zero forcing for some MIMO interference channels with constant channel coefficients.
机译:我们提供$ K $用户多输入多输出(MIMO)高斯干扰信道的自由度总数的内边界和外边界,其中每个发射机有$ M $天线,如果每个接收机有$ N $天线,信道系数是随时间变化的,并且取自连续分布。当比率$ {max(M,N)与min(M,N)} = R $等于整数时,边界是紧密的。对于这种情况,我们表明,如果$ K leq R $,自由度的总数等于$ min(M,N)K $;如果$ + 1,则$ min(M,N){R超过R + 1} K $ $ K> R $。可实现性基于干扰对齐。我们还提供了一些示例,其中对于某些具有恒定信道系数的MIMO干扰信道,将干扰对准与零强迫相结合可以实现比仅零强迫更大的自由度。

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