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14.13 Find the poles and the transfer function of a third-order Butterworth filter with ωp = 1 rad/s, Amax = 3 dB , and the dc gain is unity.
Poles: a real pole at s = −1 and a pair of complex-conjugate poles with ω0 = 1 rad/s and Q = 1; T(s) = 1/[(s + 1) (s2 + s + 1)].
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