Design of Digital Filters
Frequency transformation in digital domain with Pascal matrix equations is a new method to design a digital filter (low pass, high pass, band pass, band stop, narrow band filter...) from any given analog or digital filter.


Bilinear z- transformation
with
pre-warping frequency
Bilinear z-transformation is the most common method for converting the transfer function H(s) of the analog filter to the transfer function H(z) of the digital filter...
Frequency transformation
in
Digital domain
The frequency transformation may be used in analog domain or digital domain by maththematically mapping a designed filter into another filter which is meeting the desired specifications...
Pascal's triangle
Since founded Pascal’s triangle has proved to be a very useful applications in mathematics and in other fields. One of the most useful applications of the Pascal’s triangle is to find coefficients and expand the binomial expression .....
Keywords

Bilinear z-transformation with pre-warping frequency.

Transforming an anlog low pass to a digital low pass.

Transforming a digital filter to another digital filter.

Bilinear z-transformation with pre-warping frequency.
analog to analog filter analog to digital filter Bilinear z-transform digital to digital filter frequency trasnformation inverting matrix low pass prototype Pascal matrix [T], [P] Pascal matrix equations Pascal's triangle pre-warping frequency warping frequency
Analog to analog filter Pascal matrix equation Analog to digital filter Pascal matrix equation Digital to digital filter Pascal matrix equation