  The additive exponential noise channel with additive exponential interference
(AENC-AEI) known non-causally at the transmitter is studied. This channel can
be considered as an exponential version of the discrete memoryless channel with
state known non-causally at the encoder considered by Gelfand and Pinsker. We
make use of Gelfand-Pinsker classic capacity Theorem to derive inner and outer
bounds on the capacity of this channel under a non-negative input constraint as
well as a constraint on the mean value of the input. First we obtain an outer
bound for AENC-AEI. Then by using the input distribution achieving the outer
bound, we derive an inner bound which this inner bound coincides with the
obtained outer bound at high signal to noise ratios (SNRs) and therefore, gives
the capacity of the AENC-AEI at high SNRs.
