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arXiv 1608.03351cs.ITmath.IT
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用于整数强制的上行链路-下行链路对偶

Uplink-Downlink Duality for Integer-Forcing

Wenbo He, Bobak Nazer, Shlomo Shamai

摘要:

考虑具有信道矩阵$\mathbf{H}$的高斯多输入多输出(MIMO)多址信道(MAC)和具有信道矩阵$\mathbf{H}^{\mathsf{T}}$的高斯MIMO广播信道(BC)。对于MIMO MAC,整数强制架构包括首先解码发送码字的整数线性组合,然后求解原始消息。对于MIMO BC,整数强制架构包括在发射机处对整数线性组合进行预反相,使得每个接收机可以通过解码整数线性组合来获得其期望的码字。在这两种情况下,整数强制提供比迫零更高的可实现速率,同时保持类似的实现复杂性。本文建立了整数强迫的上下行对偶关系,即,通过在MIMO MAC上进行整数强制可实现的任何和速率都可以通过在MIMO BC上进行整数强制而以相同的和功率来实现,反之亦然。使用这种对偶关系,它示出,整数强制可以在MIMO BC总和容量的恒定间隙内操作。最后,本文提出了一种基于对偶的迭代算法,用于选择最优波束形成和均衡向量的非凸问题,并证明了该算法收敛于局部最优。

英文摘要:

Consider a Gaussian multiple-input multiple-output (MIMO) multiple-access channel (MAC) with channel matrix $\mathbf{H}$ and a Gaussian MIMO broadcast channel (BC) with channel matrix $\mathbf{H}^{\mathsf{T}}$. For the MIMO MAC, the integer-forcing architecture consists of first decoding integer-linear combinations of the transmitted codewords, which are then solved for the original messages. For the MIMO BC, the integer-forcing architecture consists of pre-inverting the integer-linear combinations at the transmitter so that each receiver can obtain its desired codeword by decoding an integer-linear combination. In both cases, integer-forcing offers higher achievable rates than zero-forcing while maintaining a similar implementation complexity. This paper establishes an uplink-downlink duality relationship for integer-forcing, i.e., any sum rate that is achievable via integer-forcing on the MIMO MAC can be achieved via integer-forcing on the MIMO BC with the same sum power and vice versa. Using this duality relationship, it is shown that integer-forcing can operate within a constant gap of the MIMO BC sum capacity. Finally, the paper proposes a duality-based iterative algorithm for the non-convex problem of selecting optimal beamforming and equalization vectors, and establishes that it converges to a local optimum.

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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