Levy Frequency Domain Identification Model Algorithm

In this article, we explore the details of the Levy frequency domain identification model algorithm. This algorithm enables system model identification when the model order is known beforehand. The core principle involves using Fast Fourier Transform (FFT) implementations to convert time-domain signals into frequency-domain representations, followed by applying Levy distribution fitting techniques to model the frequency-domain characteristics. The algorithm's key advantage lies in its capability to perform model identification under non-stationary signal conditions, while simultaneously handling signals containing multiple harmonic components. Implementation typically involves frequency response data preprocessing, iterative parameter estimation using least-squares optimization, and model validation through residual analysis. Therefore, employing the Levy frequency domain identification algorithm facilitates better understanding and analysis of system behaviors, particularly in applications involving complex spectral characteristics and time-varying systems.