Z-Transform & Digital Filters

Filter Type

Filter Design

Parameters

Order 2 Cutoff f_c (×π) 0.30 2nd cutoff f_c2 (×π) 0.60 f_c2 used for Bandpass/Notch

Input Signal

Stability

STABLE — All poles inside unit circle

Max |pole|—

Filter order—

Poles count—

Z-Transform Filter
H(z) = Σb_kz^-k / Σa_kz^-k

Stability: all poles |z| < 1

Bilinear transform:
s = 2/T · (z-1)/(z+1)

Frequency mapping:
Ω = 2πf / f_s ∈ [0, π]