The capacity region of a class of deterministic interference channels (Corresp.)

The capacity region of a class of deterministic discrete memoryless interference channels is established. In this class of channels the outputs
Y_{1}
and
Y_{2}
are (deterministic) functions of the inputs
X_{1}
and
X_{2}
such that
H(Y_{1}|X_{1})=H(V_{2})
and
H(Y_{2}|X_{2})=H(V_{l})
for all product probabiliW distributions on
X_{1}X_{2}
, where
V_{1}
is a function of
X_{1}
and
V_{2}
a function of
X_{2}
. The capacity, region for the case in which
V_{2} \equiv 0
and
Y_{1}
depends randomly on
X_{1}
is also obtained and illustrated with an example.