Discretization of linear communication channel with memory and additive white Gaussian noise by numerical method

Mathematical model of discrete communication channel is proposed on basis of that requirements to its parameter are determined. The task of basis functions forming is supplied. The claim about method of channel entry and channel exit basis functions systems forming is proved. The task solution by numerical method is found. The claim about its adequacy only on basis of input data is proved. The algorithm of basis functions forming is developed its availability is verified on basis of concrete examples.