On the synthesis of RC active networks with prescribed root sensitivity

The paper presents an optimization procedure whereby the root sensitivity can be optimized to a prescribed value, whose modulus and argument can be controlled independently. The method of optimizing
Q
and
W_{n}
. sensitivity is described. It is shown that
Q
and
W_{n}
, sensitivity can be reduced to zero by adjusting the argument or the magnitude of the pole sensitivity. Two types of networks are considered for the present synthesis. Details of passive sensitivity analysis are given. It is shown that the passive sensitivities are very low and comparable to those of passive
RLC
filters. The present method is compared with that of Cheung's. To illustrate the method, a bandpass filter having
Q = 10
is designed, and the theoretical considerations are confirmed by the experimental results.