Abstract
Volterra series is a powerful tool for black-box macro-modeling of nonlinear devices. However, the exponential complexity growth in storing and evaluating higher order Volterra kernels has limited so far its employment on complex practical applications. On the other hand, tensors are a higher order generalization of matrices that can naturally and efficiently capture multi-dimensional data. Significant computational savings can often be achieved when the appropriate low-rank tensor decomposition is available. In this paper we exploit a strong link between tensors and frequency-domain Volterra kernels in modeling nonlinear systems. Based on such link we have developed a technique called speedy tensor-aided Volterra-based electronic simulator (STAVES) utilizing high-order Volterra transfer functions for highly accurate time-domain simulation of nonlinear systems. The main computational tools in our approach are the canonical tensor decomposition and the inverse discrete Fourier transform. Examples demonstrate the efficiency of the proposed method in simulating some practical nonlinear circuit structures.
Recommended Citation
H. Liu et al., "STAVES: Speedy Tensor-aided Volterra-based Electronic Simulator," 2015 IEEE/ACM International Conference on Computer-Aided Design, ICCAD 2015, pp. 583 - 588, article no. 7372622, Institute of Electrical and Electronics Engineers, Jan 2016.
The definitive version is available at https://doi.org/10.1109/ICCAD.2015.7372622
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
discrete Fourier transform; nonlinear simulation; Tensor; tensor decomposition; Volterra series
International Standard Book Number (ISBN)
978-146738388-2
Document Type
Article - Conference proceedings
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
05 Jan 2016
