The purpose of the article is to present the new method for electronic circuits simulation in frequency domain. The paper consists of an introduction, five sections, a conclusion and list of references. The first section is considered with the current state of the spectral balance method, which is a special versions of traditional harmonic balance method. In this method the linear and nonlinear parts of circuits are modeled in frequency domain only. The second section is devoted to the development of a spectra calculation method in nonlinear elements. The nonlinear elements into circuits simulation software usually described in time domain, so we need to develop the algorithm for calculation the spectra in nonlinear elements in frequency domain. In the third section the review of methods for tensor usage at simulation tasks into electronic CAD systems are discussed. Into the section four the methods of tensor decomposition are described. The canonical decomposition, Tacker decomposition and tensor train decomposition are discussed. The possible version of tensors usage in the tasks of spectral balance method for electronic CAD systems is presented in the section five. The conclusion contains the results of the work done, practical value and prospects are indicated.

The problems of wireless communication systems are investigated. A model and hardware implementation of a system for estimating and correcting amplitude distortions of a radio signal using an algorithm based on Singular Value Decomposition (SVD) has been developed. The analysis of the efficiency of the system when processing the LTE signal is performed. The model was obtained in the Matlab system with modeling the propagation environment, as well as time and frequency tuning blocks using the LTE Toolbox library. FPGA resources with hardware implementation are estimated. Testing the signal-to-noise ratio of the two-antenna equalizer revealed its advantage over the single-antenna configuration by 2.8 dB.