{"DOI":"10.5281/zenodo.1338617","abstract":"Frequency transformation with Pascal matrix
\nequations is a method for transforming an electronic filter (analogue
\nor digital) into another filter. The technique is based on frequency
\ntransformation in the s-domain, bilinear z-transform with pre-warping
\nfrequency, inverse bilinear transformation and a very useful
\napplication of the Pascal's triangle that simplifies computing and
\nenables calculation by hand when transforming from one filter to
\nanother. This paper will introduce two methods to transform a filter
\ninto a digital filter: frequency transformation from the s-domain into
\nthe z-domain; and frequency transformation in the z-domain. Further,
\ntwo Pascal matrix equations are derived: an analogue to digital filter
\nPascal matrix equation and a digital to digital filter Pascal matrix
\nequation. These are used to design a desired digital filter from a given
\nfilter.","author":[{"family":"Nguyen","given":"Phuoc Si"}],"id":"unknown","issued":{"date-parts":[[2016,1,4]]},"language":"en","publisher":"Zenodo","title":"Frequency Transformation With Pascal Matrix Equations","type":"article-journal"}