@article{(Open Science Index):https://publications.waset.org/pdf/10003378,
	  title     = {Frequency Transformation with Pascal Matrix Equations},
	  author    = {Phuoc Si Nguyen},
	  country	= {},
	  institution	= {},
	  abstract     = {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 s-domain, bilinear z-transform with pre-warping
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 s-domain into
the z-domain; and frequency transformation in the z-domain. 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.},
	    journal   = {International Journal of Electronics and Communication Engineering},
	  volume    = {10},
	  number    = {1},
	  year      = {2016},
	  pages     = {41 - 45},
	  ee        = {https://publications.waset.org/pdf/10003378},
	  url   	= {https://publications.waset.org/vol/109},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 109, 2016},
	}