\r\nequations is a method for transforming an electronic filter (analogue

\r\nor digital) into another filter. The technique is based on frequency

\r\ntransformation in the s-domain, bilinear z-transform with pre-warping

\r\nfrequency, inverse bilinear transformation and a very useful

\r\napplication of the Pascal’s triangle that simplifies computing and

\r\nenables calculation by hand when transforming from one filter to

\r\nanother. This paper will introduce two methods to transform a filter

\r\ninto a digital filter: frequency transformation from the s-domain into

\r\nthe z-domain; and frequency transformation in the z-domain. Further,

\r\ntwo Pascal matrix equations are derived: an analogue to digital filter

\r\nPascal matrix equation and a digital to digital filter Pascal matrix

\r\nequation. These are used to design a desired digital filter from a given

\r\nfilter.", "references": null, "publisher": "World Academy of Science, Engineering and Technology", "index": "International Science Index 109, 2016" }