ee541F10HW07

ee541F10HW07 - U niversity of S outhern C alifornia U SC...

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U niversity of S outhern C alifornia USC Viterbi School of Engineering Ming Hsieh Department of Electrical Engineering EE 541: Homework #07 Fall, 2010 Due: 11/16/2010 Choma Problem #31: A particular type of multi-loop feedback amplifier is designed to deliver a driving point input impedance, Z in (s) , that is identical to the Thévenin equivalent resistance, R , of the signal source, V s . Although the design achieves Z in (s) = R at low signal frequencies, the input impedance degrades at high signal frequencies in accordance with the model shown in Figure (P31a). Note therein that Z in (s) matches the signal source resistance at low frequencies but degrades toward zero at high frequencies. Compensate for this input impedance response by introducing an appropriate impedance, Z(s) , in series with the signal source and the input port, as suggested in Figure (P31b). It is to be understood that the objective of Z(s) is to ensure that the indicated impedance, Z t (s) , is identical to R for all signal frequencies. The Z(s) adopted for this compensation scheme should exploit interconnections of only passive, lumped elements. Show a schematic diagram of Z(s) , with all element values thereof expressed in terms of model resis- tances R 1 and R and capacitances C 1 and C 2 . R 1 Z (s) in R C 2 V i C 1 R V s + (a). R 1 Z (s) in R C 2 V i C 1 R V s + (b). Z(s) Z (s) t V t Figure (P31) (a). Design the network shown in Figure (P24b) if R = 50 Ω , C 1 = 20 fF , C 2 = 3 fF , and R 1 = 75 .
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ee541F10HW07 - U niversity of S outhern C alifornia U SC...

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