Application of functional spaces theory in the simulation of nonlinear radio engineering devices

Authors

  • Alexander V. Nenashev Surgut State University, Russian Federation

DOI:

https://doi.org/10.3103/S0735272714080019

Keywords:

modelling, nonlinear devices, functional spaces, consecutive approximation

Abstract

The problem of simulation of nonlinear radio engineering devices is considered on the basis of the functional analysis theory. It has been shown that in particular cases such approach results in known techniques of harmonic balance and Volterra series. The new algorithm, which has better computing characteristics compared with techniques of harmonic balance and of Krylov subspaces, has been developed.

References

STEMPKOVSKIY, A.L. (ed.), Actual Problems of Simulation in Circuit Designing Automation Systems. Moscow: Nauka, 2003 [in Russian], 430 p.

KOLMOGOROV, A.N.; FOMIN, S.V. Elements of the Theory of Functions and Functional Analysis. Moscow: Fizmatgiz, 1976 [in Russian] 543 p.

NENASHEV, A.V.; PERISTAYA, A.S. Technique for analysis and simulation of nonlinear devices using theorem of compensation. St. Petersburg State Polytechnical University Journal. Computer Science. Telecommunication and Control Systems, v.4, n.103, p.112-118, 2010.

NENASHEV, A.V. Comparison of parametric characteristics technique and Volterra series technique in the analysis of nonlinear inertial devices. Proc. of XI Int. Sci. and Eng. Conf. on Radiolocation, Navigation, Communication, Voronezh, Russia. Voronezh: Sakvoee, 2005, v.1, p.340-348.

Published

2014-08-12

Issue

Section

Research Articles