Abstract

PSENICKA, B.; GARCIA-UGALDE, F.  and  RUIZ, V.F.. Practical Design of Digital Filters Using the Pascal Matrix. Ing. invest. y tecnol. [online]. 2007, vol.8, n.3, pp.197-208. ISSN 2594-0732.

In the context of the design of digital filters many research has been done to facilitate their computation. The Pascal matrix recently defined in (Biolkova and Biolek, 1999) has proved its utility in this field. In this paper we summarize the direct transform from the lowpass continuous-time transfer function H(s) to the discrete-time H(z) of the following main tree types of digital filters: lowpass, highpass and bandpass. An alternative representation of the original bandpass Pascal matrix is de veloped in this paper that permits to convert systematically the lowpass continuous-time prototype to the discrete-time bandpass transfer function. We also consider the inverse transformation from the dis crete-time domain to the continuous one and we show that the inverse transformation is easily obtained as the determinant of the system need not to be com puted. Several numerical examples illustrate the practical utilization of this technique.

Keywords : Filter design; s-z transformation; Pascal matrix; digital filter design tools.

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