Compensation of Nonlinear Distortions in Telecommunication Systems with the Use of Functional Series of Volterra

The paper proposes a method for compensating for nonlinear distortions in telecommunication systems by linearizing their characteristics. It is shown that compensation of nonlinear distortions is possible when using Volterra functional series. To formalize the approach, the apparatus of differential-Taylor transformations is used. Nonlinear and correcting circuits are described by Fourier-images of the Volterra kernels. By using differential-Taylor conversions found an analytical expression for the images of the nuclei of the cascade connections of nonlinear and corrective chains. This formula is recursive and allows to define the Fourier images of Volterra kernels of the higher order via the lowest ones. With the help of this formulea are determined by the image of the Volterra kernels of a corrective circuit according to the known kernels of a nonlinear circuit and required cores of the combined blok. This allows you to compensate for the higher-order Volterra kernel of a nonlinear chain. The example of compensating of images of kernels of 3 and 5 orders is given.