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A Different Approach to Finding the Capacity of a Gaussian Vector Channel

机译:寻找高斯向量通道容量的另一种方法

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摘要

The paper considers a Gaussian multiple-input multiple-output (MIMO) discrete-time vector channel with memory. The problem is to find the capacity of such a channel. It is known that the capacity of Gaussian vector channels with memory was given in [1]. In the present paper, we show a different approach, which uses another definition of the capacity. For a channel with n = 2 inputs and outputs, this approach gives an expression for the capacity which is different from that in [1]. The paper shows what the dependence of input signal components should be to give this capacity. A multidimensional water-filling interpretation works for the optimum vector input signal power distribution but cannot work for the description of the input component dependences. For the case of n ≥ 3 inputs and outputs, we give a lower bound on the channel capacity.
机译:本文考虑了带存储器的高斯多输入多输出(MIMO)离散时间矢量通道。问题在于找到这种信道的容量。已知在[1]中给出了具有存储器的高斯向量通道的容量。在本文中,我们展示了一种不同的方法,它使用了容量的另一种定义。对于n = 2输入和输出的通道,此方法给出的容量表达式与[1]中的不同。本文显示了输入信号分量对这种容量的依赖性。多维注水解释适用于最佳矢量输入信号功率分布,但不适用于描述输入分量相关性。对于n≥3输入和输出的情况,我们给出了通道容量的下限。

著录项

  • 来源
    《Problems of Economic Transition》 |2006年第3期|p.183-196|共14页
  • 作者

    B. S. Tsybakov;

  • 作者单位

    Institute for Information Transmission Problems, RAS, Moscow Qualcomm Inc., San Diego, USA;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 f;
  • 关键词

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