
2.2 Bilinear z-transformation with pre-warping Where ω c is the pre-warping frequency or wanted frequency. By using the Pascal’s tri- angle, it can make easier to compute and hand-calculated the matrix equation of the analog and digital coefficients. One of these wonderful applications is used to the bilinear z- transformation to convert from s-domain to z-domain and inverse from z-domain to s-domain. Ince founded Pascal’s triangle has proved to be a very use- ful applications in mathematics and in other fields. High pass, low pass to band pass, low pass to band stop, Pascal’s triangle.

Index Terms - Bilinear z-transform, warping frequency, pre-warping frequency, frequency transformation, low pass to low pass, low pass to In this work, introducing the relationship between the digital coefficients and the analog coefficients in the matrix equation definitely involves the Pascal’s triangle.

Phuoc Si Nguyen Melbourne, Australia 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 and vice versa. International Journal of Scientific & Engineering Research, Volume 4, Issue 12, December-2013īilinear z- transformation and Pascal’s triangle

Bilinear z-transformation and Pascal’s triangle
