 
Summary: Capacity of Multiantenna Gaussian Channels
—
I. Emre Telatar \Lambda
Abstract
We investigate the use of multiple transmitting and/or receiving antennas
for single user communications over the additive Gaussian channel with and
without fading. We derive formulas for the capacities and error exponents of
such channels, and describe computational procedures to evaluate such for
mulas. We show that the potential gains of such multiantenna systems over
singleantenna systems is rather large under independence assumptions for the
fades and noises at different receiving antennas.
1 Introduction
We will consider a single user Gaussian channel with multiple transmitting and/or
receiving antennas. We will denote the number of transmitting antennas by t and the
number of receiving antennas by r. We will exclusively deal with a linear model in
which the received vector y 2 C r depends on the transmitted vector x 2 C t via
y = Hx+ n (1)
where H is a r \Theta t complex matrix and n is zeromean complex Gaussian noise with
independent, equal variance real and imaginary parts. We assume E [nn y ] = I r , that
is, the noises corrupting the different receivers are independent. The transmitter is
