Best Linear Approximation of Nonlinear Continuous-Time Systems Subject to Process Noise and Operating in Feedback

• Published in: IEEE transactions on instrumentation and measurement Vol. 69; no. 10; pp. 8600 - 8612
• Main Authors: Pintelon, Rik, Schoukens, Maarten, Lataire, John
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.10.2020; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Approximation; Best linear approximation (BLA); Closed loops; Continuous time systems; continuous-time; Discrete Fourier transforms; Discrete time systems; Distortion measurement; feedback; frequency response function (FRF); Frequency response functions; Kernel; Linear approximation; Mathematical analysis; Noise; Noise measurement; Nonlinear distortion; Nonlinear response; Nonlinear systems; nonparametric estimation; Nonparametric statistics; process noise

In many engineering applications, the level of nonlinear distortions in frequency response function (FRF) measurements is quantified using specially designed periodic excitation signals called random phase multisines and periodic noise. The technique is based on the concept of the best linear approx...