Estimation of the FRF Through the Improved Local Bandwidth Selection in the Local Polynomial Method

Prasanth Thummala, Johan Schoukens

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Abstract

This paper presents a nonparametric method to measure an improved frequency response function (FRF) of a linear dynamic system excited by a random input. Recently, the local polynomial method (LPM) has been proposed as a technique to reduce the leakage errors on FRF measurements. The noise sensitivity of the LPM was similar to that of the classical windowing methods, while the leakage rejection is improved from an O(N−1) to an O(N−3). This paper shows a methodology, to automatically tune the parameter of the LPM, viz., the local bandwidth that sets how many neighboring frequency lines are combined in a single-point estimate, to get lower noise sensitivity by increasing the smoothening of the original LPM, without any user interaction. The balance between noise reduction and bias error will be automatically retrieved.
Original languageEnglish
JournalI E E E Transactions on Instrumentation and Measurement
Volume61
Issue number10
Pages (from-to)2833-2843
Number of pages11
ISSN0018-9456
DOIs
Publication statusPublished - 2012

Keywords

  • Bias variance tradeoff
  • Leakage rejection
  • Local bandwidth
  • Noise rejection
  • System identification

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