Decoupling static nonlinearities in a parallel Wiener-Hammerstein system: a first-order approach

Philippe Dreesen, Maarten Schoukens, Koen Tiels, Johan Schoukens

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

9 Citations (Scopus)

Abstract

We present a method to decompose a static MIMO (multiple-input-multiple-output) nonlinearity into a set of SISO (single-input-single-output) polynomials acting on internal variables that are related to the inputs and outputs of the MIMO nonlinearity by linear transformations. The method is inspired on the small-signal analysis of nonlinear circuits and proceeds by collecting first-order information of the MIMO function into a set of Jacobian matrices. A simultaneous diagonalization of the set of Jacobian matrices is computed using a tensor decomposition, providing the required linear transformations, after which also the coefficients of the internal SISO polynomials can be computed. The method is validated on measurements of a parallel two-branch Wiener-Hammerstein identification setup.

Original languageEnglish
Title of host publicationI²MTC 2015 IEEE International Instrumentation and Measurement Technology Conference : proceedings : The "Measurable" of Tomorrow : Providing a Better Perspective on Complex Systems : Palazzo dei Congresi, May 11-14, 2015, Pisa Italy
EditorsA. Ferrero
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Number of pages6
ISBN (Electronic)9781479961446
ISBN (Print)9781479961139
DOIs
Publication statusPublished - 1 Jan 2015
Externally publishedYes
Event2015 IEEE International Instrumentation and Measurement Technology Conference (I2MTC 2015) - Palazzo dei Congressi, Pisa, Italy
Duration: 11 May 201514 May 2015

Conference

Conference2015 IEEE International Instrumentation and Measurement Technology Conference (I2MTC 2015)
Abbreviated titleI2MTC 2015
CountryItaly
CityPisa
Period11/05/1514/05/15

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