Measuring the best linear approximation of a nonlinear system. An asymptotic framework

Tadeusz Dobrowiecki; Joannes Schoukens

Measuring the best linear approximation of a nonlinear system. An asymptotic framework

Electricity

Research output: Chapter in Book/Report/Conference proceeding › Conference paper

Abstract

This paper studies the approximation, in least square sense, of a nonlinear system with a linear system, when the measurements are made with periodic signals with a high number of harmonics. The dependency of the asymptotic (period length tends to infinity) behavior of the best linear approximation on the local selection scheme for the excited frequencies is analyzed in detail. Under some weak conditions, error bounds and a full equivalence with random noise excitations is established.

Original language	English
Title of host publication	IMTC/2007, Proceedings of the IEEE Instrumentation and Measurement Technology Conference, Warsaw, Poland, May 1-3, 2007
Publication status	Published - 1 May 2007
Event	Finds and Results from the Swedish Cyprus Expedition: A Gender Perspective at the Medelhavsmuseet - Stockholm, Sweden Duration: 21 Sep 2009 → 25 Sep 2009

Conference

Conference	Finds and Results from the Swedish Cyprus Expedition: A Gender Perspective at the Medelhavsmuseet
Country/Territory	Sweden
City	Stockholm
Period	21/09/09 → 25/09/09

IEEE/IMTC 2007, the IEEE Instrumentation and Measurement Technology Conference
Rik Pintelon (Speaker)
1 May 2007 → 3 May 2007
Activity: Talk or presentation › Talk or presentation at a conference
IEEE/IMTC 2007, the IEEE Instrumentation and Measurement Technology Conference
Joannes Schoukens (Speaker)
1 May 2007 → 3 May 2007
Activity: Talk or presentation › Talk or presentation at a conference
IEEE/IMTC 2007, the IEEE Instrumentation and Measurement Technology Conference
Johan Paduart (Speaker)
1 May 2007 → 3 May 2007
Activity: Talk or presentation › Talk or presentation at a conference

Cite this

@inproceedings{82e1df4ccf1b48d0be1b2be58c88127e,

title = "Measuring the best linear approximation of a nonlinear system. An asymptotic framework",

abstract = "This paper studies the approximation, in least square sense, of a nonlinear system with a linear system, when the measurements are made with periodic signals with a high number of harmonics. The dependency of the asymptotic (period length tends to infinity) behavior of the best linear approximation on the local selection scheme for the excited frequencies is analyzed in detail. Under some weak conditions, error bounds and a full equivalence with random noise excitations is established.",

author = "Tadeusz Dobrowiecki and Joannes Schoukens",

year = "2007",

month = may,

day = "1",

language = "English",

isbn = "1-4244-0589-0",

booktitle = "IMTC/2007, Proceedings of the IEEE Instrumentation and Measurement Technology Conference, Warsaw, Poland, May 1-3, 2007",

note = "Finds and Results from the Swedish Cyprus Expedition: A Gender Perspective at the Medelhavsmuseet ; Conference date: 21-09-2009 Through 25-09-2009",

}

Dobrowiecki, T & Schoukens, J 2007, Measuring the best linear approximation of a nonlinear system. An asymptotic framework. in IMTC/2007, Proceedings of the IEEE Instrumentation and Measurement Technology Conference, Warsaw, Poland, May 1-3, 2007. Finds and Results from the Swedish Cyprus Expedition: A Gender Perspective at the Medelhavsmuseet, Stockholm, Sweden, 21/09/09.

TY - GEN

T1 - Measuring the best linear approximation of a nonlinear system. An asymptotic framework

AU - Dobrowiecki, Tadeusz

AU - Schoukens, Joannes

PY - 2007/5/1

Y1 - 2007/5/1

N2 - This paper studies the approximation, in least square sense, of a nonlinear system with a linear system, when the measurements are made with periodic signals with a high number of harmonics. The dependency of the asymptotic (period length tends to infinity) behavior of the best linear approximation on the local selection scheme for the excited frequencies is analyzed in detail. Under some weak conditions, error bounds and a full equivalence with random noise excitations is established.

AB - This paper studies the approximation, in least square sense, of a nonlinear system with a linear system, when the measurements are made with periodic signals with a high number of harmonics. The dependency of the asymptotic (period length tends to infinity) behavior of the best linear approximation on the local selection scheme for the excited frequencies is analyzed in detail. Under some weak conditions, error bounds and a full equivalence with random noise excitations is established.

M3 - Conference paper

SN - 1-4244-0589-0

BT - IMTC/2007, Proceedings of the IEEE Instrumentation and Measurement Technology Conference, Warsaw, Poland, May 1-3, 2007

T2 - Finds and Results from the Swedish Cyprus Expedition: A Gender Perspective at the Medelhavsmuseet

Y2 - 21 September 2009 through 25 September 2009

ER -

Measuring the best linear approximation of a nonlinear system. An asymptotic framework

Abstract

Conference

Fingerprint

Activities

IEEE/IMTC 2007, the IEEE Instrumentation and Measurement Technology Conference

IEEE/IMTC 2007, the IEEE Instrumentation and Measurement Technology Conference

IEEE/IMTC 2007, the IEEE Instrumentation and Measurement Technology Conference

Cite this