Finding the –3-dB bandwidth of an arbitrary linear network can be a difficult problem in general. Consider, for example, the standard recipe for computing bandwidth:
(1) derive the input–output transfer function (using node equations, for example);
(2) set s = jω;
(3) find the magnitude of the resulting expression;
(4) set the magnitude = 1/ of the “midband” value; and
(5) solve for ω.
It doesn’t take a great deal of insight to recognize that explicit computation (by hand) of the –3-dB bandwidth using this method is generally impractical for all but the simplest systems. In particular, ...