The Capacity of Linear Channels with Additive Gaussian Noise

In this paper, we attack a general form of the classical problem of determining the capacity of a linear channel with additive noise. Structurally we have 0 where the random signals, noise [n,(oi)], input [s,(co)], and output [r,(w)] are all defined on 0 ^ t ^ T. All signals as well as the kernel of the channel operator are assumed square integrable in the appropriate 81 (1)