14.11 Consider a fifth-order filter whose poles are all at a radial distance from the origin of 105 rad/s. One pair of complex-conjugate poles is at 18° angles from the jω axis, and the other pair is at 54° angles. Give ω0 and Q of the poles and the transfer function in each of the following cases.
(a) The transmission zeros are all at s = ∞ and the dc gain is unity.
(b) The transmission zeros are all at s = 0 and the high-frequency gain is unity.
What type of filter results in each case?