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Bode Plot: Filter Design

Description
How it works
Applications:
Filter Design
Ziegler Nichols tuning









Bode Plots are used to study the frequency response of filters. Lets use the Bode Plot tool to study the frequency response of a low pass filter. A low pass filter allows low frequencies to pass through but attenuates higher frequencies.

Consider a low pass filter made from a resistor and capacitor:



The transfter function for this filter is given by
TF = 1 / (1 + RCs)

Lets look at the frequency response when R = 10 kohms and C = 2 microfarad. Here, we have a = 1, b = 0, g = 1, h = 0.02 and t = 0. From the Bode plot, we see that this filter has a cut off frequency of 50 rad/s or 7.96 Hz.