This article is cited in 3 papers

Information Theory

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

B. S. Tsybakov<sup>abc

a</sup> Institute for Information Transmission Problems, Russian Academy of Sciences
^b University of California, San Diego
^c Qualcomm Inc.

Abstract: The paper considers a Gaussian multiple-input multiple-output (MIMO) discretetime 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 $n\geqslant3$ inputs and outputs, we give a lower bound on the channel capacity.

UDC: 621.391.1

Received: 20.10.2005
Revised: 28.03.2006

 English version: Problems of Information Transmission, 2006, 42:3, 183–196

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