Detection and Quantification of the Influence of Time Variation in Frequency Response Function Measurements Using Arbitrary Excitations

作者：Pintelon Rik^*; Louarroudi Ebrahim; Lataire John

来源：IEEE Transactions on Instrumentation and Measurement, 2012, 61(12): 3387-3395.

DOI：10.1109/TIM.2012.2210327

• Best linear time-invariant approximation (BLTI)
• continuous-time
• frequency response FRF)
• nonparametric modeling
• slowly time-varying

This paper presents a nonparametric method for detecting and quantifying the influence of time variation in frequency response function measurements. The method is based on the estimation of the best linear time-invariant (BLTI) approximation of a linear time-variant (LTV) system from known input, noisy output data. The key idea consists in reformulating the single-input, single-output time-variant problem as a multiple-input, single-output time-invariant problem. In addition to the BLTI approximation of the LTV system, the contribution of the disturbing noise, the leakage error, and the time-varying effects at the output is also quantified. As such, the approximation error of the time-invariant framework is known.

• 出版日期2012-12