Bilinear z-transformation and Pascal's triangle
Phuoc Si Nguyen · 2013
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. In this work, introducing the relationship between the digital coefficients and the analog coefficients in the matrix equation definitely involves the Pascal's triangle. Index Terms—Bilinear z-transform, warping frequency, pre-warping frequency, frequency transformation, low pass to low pass, low pass to high pass, low pass to band pass, low pass to band stop, Pascal's triangle. —————————— ——————————