Fast nonlinear model order reduction via associated transforms of high-order volterra transfer functions

Yang Zhang; Haotian Liu; Qing Wang; Neric Fong; Ngai Wong

doi:10.1145/2228360.2228415

Fast nonlinear model order reduction via associated transforms of high-order volterra transfer functions

Yang Zhang, Haotian Liu, Qing Wang, Neric Fong, Ngai Wong

The University of Hong Kong

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

11 Citations (Scopus)

Abstract

We present a new and fast way of computing the projection matrices serving high-order Volterra transfer functions in the context of (weakly and strongly) nonlinear model order reduction. The novelty is to perform, for the first time, the association of multivariate (Laplace) variables in high-order multiple-input multiple-output (MIMO) transfer functions to generate the standard single-s transfer functions. The consequence is obvious: instead of finding projection subspaces about every s _i, only that about a single s is required. This translates into drastic saving in computation and memory, and much more compact reduced-order nonlinear models, without compromising any accuracy.

Original language	English
Title of host publication	Proceedings of the 49th Annual Design Automation Conference, DAC '12
Pages	289-294
Number of pages	6
DOIs	https://doi.org/10.1145/2228360.2228415
Publication status	Published - 2012
Externally published	Yes
Event	49th Annual Design Automation Conference, DAC '12 - San Francisco, CA, United States Duration: 3 Jun 2012 → 7 Jun 2012

Publication series

Name	Proceedings - Design Automation Conference
ISSN (Print)	0738-100X

Conference

Conference	49th Annual Design Automation Conference, DAC '12
Country/Territory	United States
City	San Francisco, CA
Period	3/06/12 → 7/06/12

Keywords

analog/RF circuits
association of variables
model order reduction (MOR)
nonlinear system

ASJC Scopus subject areas

Computer Science Applications
Control and Systems Engineering
Electrical and Electronic Engineering
Modeling and Simulation

Access to Document

10.1145/2228360.2228415

Cite this

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title = "Fast nonlinear model order reduction via associated transforms of high-order volterra transfer functions",

abstract = "We present a new and fast way of computing the projection matrices serving high-order Volterra transfer functions in the context of (weakly and strongly) nonlinear model order reduction. The novelty is to perform, for the first time, the association of multivariate (Laplace) variables in high-order multiple-input multiple-output (MIMO) transfer functions to generate the standard single-s transfer functions. The consequence is obvious: instead of finding projection subspaces about every s i, only that about a single s is required. This translates into drastic saving in computation and memory, and much more compact reduced-order nonlinear models, without compromising any accuracy.",

keywords = "analog/RF circuits, association of variables, model order reduction (MOR), nonlinear system",

author = "Yang Zhang and Haotian Liu and Qing Wang and Neric Fong and Ngai Wong",

year = "2012",

doi = "10.1145/2228360.2228415",

language = "English",

isbn = "9781450311991",

series = "Proceedings - Design Automation Conference",

pages = "289--294",

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note = "49th Annual Design Automation Conference, DAC '12 ; Conference date: 03-06-2012 Through 07-06-2012",

}

Zhang, Y, Liu, H, Wang, Q, Fong, N & Wong, N 2012, Fast nonlinear model order reduction via associated transforms of high-order volterra transfer functions. in Proceedings of the 49th Annual Design Automation Conference, DAC '12. Proceedings - Design Automation Conference, pp. 289-294, 49th Annual Design Automation Conference, DAC '12, San Francisco, CA, United States, 3/06/12. https://doi.org/10.1145/2228360.2228415

Fast nonlinear model order reduction via associated transforms of high-order volterra transfer functions. / Zhang, Yang; Liu, Haotian; Wang, Qing et al.
Proceedings of the 49th Annual Design Automation Conference, DAC '12. 2012. p. 289-294 (Proceedings - Design Automation Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Fast nonlinear model order reduction via associated transforms of high-order volterra transfer functions

AU - Zhang, Yang

AU - Liu, Haotian

AU - Wang, Qing

AU - Fong, Neric

AU - Wong, Ngai

PY - 2012

Y1 - 2012

N2 - We present a new and fast way of computing the projection matrices serving high-order Volterra transfer functions in the context of (weakly and strongly) nonlinear model order reduction. The novelty is to perform, for the first time, the association of multivariate (Laplace) variables in high-order multiple-input multiple-output (MIMO) transfer functions to generate the standard single-s transfer functions. The consequence is obvious: instead of finding projection subspaces about every s i, only that about a single s is required. This translates into drastic saving in computation and memory, and much more compact reduced-order nonlinear models, without compromising any accuracy.

AB - We present a new and fast way of computing the projection matrices serving high-order Volterra transfer functions in the context of (weakly and strongly) nonlinear model order reduction. The novelty is to perform, for the first time, the association of multivariate (Laplace) variables in high-order multiple-input multiple-output (MIMO) transfer functions to generate the standard single-s transfer functions. The consequence is obvious: instead of finding projection subspaces about every s i, only that about a single s is required. This translates into drastic saving in computation and memory, and much more compact reduced-order nonlinear models, without compromising any accuracy.

KW - analog/RF circuits

KW - association of variables

KW - model order reduction (MOR)

KW - nonlinear system

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M3 - Conference contribution

AN - SCOPUS:84863551409

SN - 9781450311991

T3 - Proceedings - Design Automation Conference

SP - 289

EP - 294

BT - Proceedings of the 49th Annual Design Automation Conference, DAC '12

T2 - 49th Annual Design Automation Conference, DAC '12

Y2 - 3 June 2012 through 7 June 2012

ER -

Fast nonlinear model order reduction via associated transforms of high-order volterra transfer functions

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

Access to Document

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