Design a band pass filter using three quarter-wave short-circuited stub resonators. The filter should have a 0.5 dB equal-ripple response, a center frequency of 3 GHz, a 20% bandwidth, and an impedance of 100 . (a) Find the required characteristic impedances of the resonators, and use CAD to plot the insertion loss from 1 to 5 GHz. (b) Lay out the micro strip implementation of the filter on an FR4 substrate having
r = 4.2, d = 0.079 cm, and tan δ = 0.02, and with copper conductors 0.5 mil thick. Use CAD to plot the insertion loss versus frequency in the pass band of the filter, and compare with the lossless case.