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Rational transform approximation via the Laguerre spectrum

By Kenneth Steiglitz


ABSTRACT: A method is presented for determination of an n th order rational transform approximation for a time function, given at least n + 1 of its Laguerre coefficients. The method is based on approximating the discrete set of Laguerre coefficients with a rational generating function. The method does not require predetermination of the poles; and allows the use of as many Laguerre coefficients as are available, without increasing the complexity of the model. Applications to time domain synthesis and transfer function identification are discussed

Year: 1965
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