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

Capacity Bounds for Dirty Paper with Exponential Dirt