Title :
Stochastic circuit modelling with Hermite polynomial chaos
Author :
Su, Q. ; Strunz, K.
Author_Institution :
Dept. of Electr. Eng., Univ. of Washington, Seattle, WA, USA
Abstract :
Hermite polynomial chaos is used to create models of electric circuit branches for the study of random changes of parameters. The proposed method allows for seamless integration with nodal analysis. An analogy of Fourier series and Hermite polynomial chaos expansion is introduced to explain the methodology. Compared with root-sum-square and Monte Carlo methods, the proposed method is shown to be fast and accurate.
Keywords :
Fourier series; Hermitian matrices; chaos; network analysis; polynomial matrices; stochastic processes; Fourier series; Hermite polynomial chaos; Monte Carlo methods; circuit branch modeling; electric circuits; nodal analysis; random temperature changes; root-sum-square method; stochastic analysis;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:20052415
