Dealing with Repeated Poles Analytically
A pole of multiplicity has
residues associated with it. For example,
and the three residues associated with the pole are 1, 2, and 4.
Let denote the th residue associated with the pole , . Successively differentiating times with respect to and setting isolates the residue :
or
Next Section:
Example
Previous Section:
Example: The General Biquad PFE