Electronic Filter - The Transfer Function

The Transfer Function

see also Filter (signal processing) for further analysis

The transfer function of a filter is the ratio of the output signal to that of the input signal as a function of the complex frequency :

with .

The transfer function of all linear time-invariant filters, when constructed of discrete components, will be the ratio of two polynomials in, i.e. a rational function of . The order of the transfer function will be the highest power of encountered in either the numerator or the denominator.

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