Consider a fifth-order filter whose poles are all at a radial distance from the origin of 104 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 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?