The Differentiation by a Wavelet and Its Application to the Estimation of a Transfer Function
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概要
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This paper deals with a set of differential operators for calculating the differentials of an observed signal by the Daubechies wavelet and its applocation for the estimation of the transfer function of a linear system by using non-stationary step-like signals. The differential operators are constructed by iterative projections of the differential of the scaling function for a multiresolution analysis into a dilation subspace. By the proposed differential operators we can extract the arbitrary order differentials of a signal. We propose a set of identifiable filters constructed by the sum of multiple filters with the first order lag characteristics. Using the above differentials and the identifiable filters we propose an identification method for the transfer function of a linear system. In order to ensure the appropriateness and effectiveness of the proposed method some numerical simulations are presented.
- 一般社団法人電子情報通信学会の論文
- 1998-06-25