Abstract
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.
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Original Russian Text © B.S. Tsybakov, 2006, published in Problemy Peredachi Informatsii, 2006, Vol. 42, No. 3, pp. 21–36.
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Tsybakov, B.S. A different approach to finding the capacity of a Gaussian vector channel. Probl Inf Transm 42, 183–196 (2006). https://doi.org/10.1134/S0032946006030021
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DOI: https://doi.org/10.1134/S0032946006030021