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, ...

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