Investigation of Time Domain Identification Techniques

摘要

Methods are investigated of identifying a rational transfer function in the complex frequency, s, domain, given the impulse response or samples of the impulse response of a time invariant or slowly time varying system. This problem arises in adaptive schemes where g(t), the impulse response of the plant, is characterized by a preliminary identification method. The next step in the identification process is that of determining the coefficients of G(s), the rational transform of g(t). Adaption is based on the form of G(s) and the value of the coefficients of G(s). Several time domain synthesis techniques including least-square fitting, indices of matching, moment matching, and orthogonal methods are considered with a view to digital identification. The analog method of transfer function tracking of Puri and Weygandt is applied to digital identification.