Nonparametric time-variant frequency response function estimates using arbitrary excitations

Rik Pintelon, Ebrahim Louarroudi, John Lataire

Research output: Contribution to journalArticle

17 Citations (Scopus)
11 Downloads (Pure)


The time-variant frequency response function (TV-FRF) uniquely characterises the dynamic behaviour of a linear time-variant (LTV) system. This paper proposes a method for estimating nonparametrically the dynamic part of the TV-FRF from known input, noisy output observations. The arbitrary time-variation of the TV-FRF is modelled by Legendre polynomials. In opposition to existing solutions, the proposed method is applicable to arbitrary inputs.
Original languageEnglish
Pages (from-to)308-317
Number of pages10
Publication statusPublished - 1 Jan 2015


  • Time-variant frequency response function
  • Nonparametric estimates
  • Arbitrary excitations
  • Time-variant systems
  • Legendre polynomials

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