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arXiv 1104.0992cs.ITmath.AGmath.IT
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MIMO干扰信道中干扰对齐的自由度

On the Degrees of Freedom Achievable Through Interference Alignment in a MIMO Interference Channel

Meisam Razaviyayn, Gennady Lyubeznik, Zhi-Quan Luo

摘要:

考虑K用户平坦衰落MIMO干扰信道,其中第k个发射机(或接收机)配备有M_k(分别为N_k)个天线。如果允许跨时间或频率的大量统计独立的信道扩展,则最近的工作[1]表明,可以通过干扰对齐来最大化总可实现的自由度(DoF),从而导致即使M_k和N_k有界,总DoF也随K线性增长。在这项工作中,我们考虑了不允许信道扩展的情况,并建立了任何自由度元组(d_1,d2,.,d_K)。对于M_k = M,N_k = N,d_k = d的对称系统,这个条件意味着总的可达自由度不能随K线性增长,实际上不超过K(M + N)=(K + 1)。我们还表明,当每个收发器的天线数可被数据流的数量整除时,这个界限是紧的。

英文摘要:

Consider a K-user flat fading MIMO interference channel where the k-th transmitter (or receiver) is equipped with M_k (respectively N_k) antennas. If a large number of statistically independent channel extensions are allowed either across time or frequency, the recent work [1] suggests that the total achievable degrees of freedom (DoF) can be maximized via interference alignment, resulting in a total DoF that grows linearly with K even if M_k and N_k are bounded. In this work we consider the case where no channel extension is allowed, and establish a general condition that must be satisfied by any degrees of freedom tuple (d_1, d2, ..., d_K) achievable through linear interference alignment. For a symmetric system with M_k = M, N_k = N, d_k = d for all k, this condition implies that the total achievable DoF cannot grow linearly with K, and is in fact no more than K(M + N)=(K + 1). We also show that this bound is tight when the number of antennas at each transceiver is divisible by the number of data streams.

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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