Linear approximation in the discrete frequency domain

In this paper, a linear model in the discrete frequency domain is used. The main aim of this work is not only to deduce a filter model expression for DFT sequences of real data, but also to give an interpretation of the parameters involved in this expression. This convenient explanation is built given the relationship between the reflection coefficients used by the Levinson algorithm and the dispersion of the energy of the sequence in the frequency domain. From this interpretation, the computation of the model parameters is accelerated in a Levinson algorithm modified. A realistic example is presented to show these results. (C) 2000 Elsevier Science B.V. All rights reserved. MSC: 42A16; 41A45; 41A21.