Engineering Sciences 154
See Section 7.1 in Sedra and SmithIn general, any transmission or response function can be written
where the z's (zeroes) and p's (poles) are, respectively, the roots of the numerator and denominator of the function.
If there are no repeated poles, a partial fraction expansion is possible. (This is not a significant limitation, but requires one more relatively trivial step.)
Each represents a characteristic solution - i.e.
For reference see table of Laplace transform pairsRLC Example:
For subsequent computations it useful to note that
In this case
Revisiting Bode Plots (Diagrams)
A Discussion of Decibels