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Abstracl -RF analog and wireless communication systems design plays the important roles in 'the field of microelectronics and system-on-chip methodologies. RF front-end methodologies 'of design and simulation problems as well as modern CAD tools are discussed. K&ords-RF and wireless systems, design methodologies, CAD tools.

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The harmonic balance method is widely used for simulation of nonlinear radio circuits in electronic CAD systems. The main problems of algorithms and programs based on HB methods are significant requirements for computer memory and huge computational costs when simulate a complex circuits containing thousands of electronic components and hundreds of thousands of model equations. Methods of model order reduction have become popular in recent years and can significantly reduce the dimension and memory required for electronic circuit models for dynamic mode analysis. The main problems of low-order methods for simulation of electronic circuits are associated with very small reductions in computational costs (with a significant reduction in the dimension of the equations and the required memory for the model). A new method and algorithm of solving the equations of harmonic balance method used in electronic CAD systems is presented. The new algorithm is based on applying the ideas of model order reduction methods to harmonic balance equations. A new method replaces the vector (matrix) of equation unknowns by two matrices of small dimensions that are solved by iteratively (as into the standard harmonic balance method). The first system of equations reduces the number of harmonics in balance equations, and the second system of equations reduces the number of circuit nodes. These equations of small dimensions are solved sequentially, so this algorithm allows significantly reduce the size of computer memory for storing of model equations and reduce of computational costs. The simulation program was developed in the Matlab/Simulink system. The results of simulation test circuit with different number of electronic circuit nodes and the number of considered harmonics showed that the gain was obtained only for dimensions of problems more than one hundred (the number of nodes and the number of considered harmonics).

Tensor decomposition methods are widely used for solving high-dimensional and multi-dimensional problems. These approaches have a huge potential for reducing computational costs in the simulation of electronic circuits and in the CAD systems for electronics. Simulation of modern radio-frequency (RF) circuits, especially for RF integrated circuits, is one of the areas of extensive scientific research and development. The main problem of analysis methods for circuit design of RF electronics is the significant computational costs associated with the high dimensions to be solved. This paper shows that the computational costs of circuit design are largely determined by the costs of solving a system of linear algebraic equations (SLAE). The problems of the solving of SLAE are indicated in the paper. Further development of methods for solving and reducing computational costs requires the use of new approaches, one of which is proposed in this paper. The article presents the developed algorithm for converting a second-order matrix into a higher-order tensor. In this paper algorithms and software tools for tensor decompositions, as well as methods for solving SLAE in the representation of equations in tensor format are investigated. The results of numerical experiments and the results of comparison with traditional methods are presented.