2001
DOI: 10.1109/81.922460
|View full text |Cite
|
Sign up to set email alerts
|

Analyzing circuits with widely separated time scales using numerical PDE methods

Abstract: Widely separated time scales arise in many kinds of circuits, e.g., switched-capacitor filters, mixers, switching power converters, etc. Numerical solution of such circuits is often difficult, especially when strong nonlinearities are present. In this paper, we present a mathematical formulation and numerical methods for analyzing a broad class of such circuits or systems. The key idea is to use multiple time variables, which enable signals with widely separated rates of variation to be represented efficiently… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
4
1

Citation Types

0
176
0
2

Year Published

2004
2004
2019
2019

Publication Types

Select...
6
3
1

Relationship

1
9

Authors

Journals

citations
Cited by 185 publications
(178 citation statements)
references
References 20 publications
0
176
0
2
Order By: Relevance
“…[18] and subsequent work by Pulch [17] and Dautbegovic et al [3]. However, much more work is required to generate algorithms that are well-suited and effective for the application areas in hand.…”
Section: Introductionmentioning
confidence: 99%
“…[18] and subsequent work by Pulch [17] and Dautbegovic et al [3]. However, much more work is required to generate algorithms that are well-suited and effective for the application areas in hand.…”
Section: Introductionmentioning
confidence: 99%
“…In [20,24,201,[203][204][205] [24]). The derivative, ω(τ 2 ), of the 'warping' function φ, gives the extend of the stretch of the timescale in τ 2 .…”
Section: Multivariate Extensionmentioning
confidence: 99%
“…Standard numerical integration techniques are inefficient for signals with widely-varying frequency content as the step size is governed by the highest frequency present in the signal. Several approaches have been proposed to deal with such cases including envelope simulation tools such as (Pedro 2002), multirate partial differential equation methods such as (Roychowdhury 2001) and multiscale methods such as (Ariel 2009). Envelope simulation methods have to be adapted for frequency modulation e.g.…”
Section: Introductionmentioning
confidence: 99%