9.10.5. IIR Filter Tuning Parameters
|Ωd||Corner frequency (rad/s) above which the denominator response magnitude begins to decrease.|
|ζd||Damping factor that determines the sharpness of the corner at Ωd; ζd < sqrt(0.5) results in a filter response peak (filter resonance) around Ωd, whereas ζd > sqrt(0.5) gives a more gradual (more strongly damped) transition with no peak.|
|Ωn||Corner frequency (rad/s) above which the numerator response magnitude begins to increase.|
|ζn||Damping factor that determines the sharpness of the corner at Ωn; ζn < sqrt(0.5) results in a filter response trough around Ωn, whereas ζn > sqrt(0.5) gives a more gradual transition with no trough.|
Use these four parameters to create different filter response shapes. For vibration suppression, use a notch characteristic to decrease the system gain only around the frequency of interest. Set Ωn = Ωd and ζn < ζd. The gain at Ωn = Ωd is then equal to ζn/ ζd
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