Abstract
Description of the dynamic characteristics of linear dynamical systems or objects is a topical problem. Among the methods for describing dynamic characteristics, a special place is occupied by methods based on the description of impulse response functions (IRF). The paper proposes to use spectral methods of modeling IRFs based on the Fourier transform in the basis of orthonormal functions. The paper solves the problem of step-by-step synthesis of generalized orthonormal functions based on Chebyshev-Hermite polynomials for the synthesis of IRF spectral models. In the paper, on the basis of the Chebyshev-Hermite polynomials, a system of transformed generalized orthonormal Chebyshev-Hermite functions is synthesized that allows describing IRFs obtained analytically or experimentally. To assess the reliability of the IRF model, the square of the normalized variance of the IRF spectral model is used.
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