Phuoc Si Nguyen Frequency Transformation with Pascal Matrix Equations
41 - 45
2016
10
1
International Journal of Electrical, Computer, Energetic, Electronic and Communication Engineering http://waset.org/publications/10003378
http://waset.org/publications/109
World Academy of Science, Engineering and Technology
Frequency transformation with Pascal matrix
equations is a method for transforming an electronic filter (analogue
or digital) into another filter. The technique is based on frequency
transformation in the sdomain, bilinear ztransform with prewarping
frequency, inverse bilinear transformation and a very useful
application of the Pascal’s triangle that simplifies computing and
enables calculation by hand when transforming from one filter to
another. This paper will introduce two methods to transform a filter
into a digital filter frequency transformation from the sdomain into
the zdomain; and frequency transformation in the zdomain. Further,
two Pascal matrix equations are derived an analogue to digital filter
Pascal matrix equation and a digital to digital filter Pascal matrix
equation. These are used to design a desired digital filter from a given
filter.
International Science Index 109, 2016