16.7. All-Pass Filter Design

In comparison to the previously discussed filters, an all-pass filter has a constant gain across the entire frequency range, and a phase response that changes linearly with frequency.
Because of these properties, all-pass filters are used in phase compensation and signal delay circuits.
Similar to the low-pass filters, all-pass circuits of higher order consist of cascaded first-order and second-order all-pass stages. To develop the all-pass transfer function from a low-pass response, replace A0 with the conjugate complex denominator.
The general transfer function of an all-pass is

A(s)=i(1ais+bis2)i(1+ais+bis2)

image (16.23) ...

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