Example
As an example take a simple low-pass RC filter. This continuous-time filter has a transfer function
If we wish to implement this filter as a digital filter, we can apply the bilinear transform by substituting for the formula above; after some reworking, we get the following filter representation:
The coefficients of the denominator are the 'feed-backward' coefficients and the coefficients of the numerator are the 'feed-forward' coefficients used to implement a real-time digital filter.
Read more about this topic: Bilinear Transform
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