Abstract

Volterra series (VS) representation is a powerful mathematical model for nonlinear circuits. However, the difficulties in determining higher order Volterra kernels limited its broader applications. In this paper, a systematic approach that enables a convenient extraction of Volterra kernels from X-parameters is presented. A concise and general representation of the output response due to arbitrary number of input tones is given. The relationship between Volterra kernels and X-parameters is explicitly formulated. An efficient frequency sweep scheme and an output frequency indexing scheme are provided. The least square linear regression method is employed to separate different orders of Volterra kernels at the same frequency, which leads to the obtained Volterra kernels complete. The proposed VS representation based on X-parameters is further validated for time-domain verification. The proposed method is systematic and general-purpose. It paves the way for time-domain simulation with X-parameters and constitutes a powerful supplement to the existing blackbox macromodeling methods for nonlinear circuits.

Department(s)

Electrical and Computer Engineering

Comments

Directorate for Computer and Information Science and Engineering, Grant 124082

Keywords and Phrases

Blackbox macromodeling; nonlinear circuits; Volterra series (VS); X-parameters

International Standard Serial Number (ISSN)

2156-3950

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Institute of Electrical and Electronics Engineers; Electronics Packaging Society, All rights reserved.

Publication Date

01 Jan 2017

Download

Full Text Link

Share

 
COinS