Second-order pole-zero pair selection for nth-order minimum sensitivity networks

The selection of pole-zero pairs for the second-order realization of prescribed
n
th-order networks with minimum sensitivity is discussed. It is shown that a class of second-order networks exists for which the transmission sensitivity is independent of the zero locations. The transmission sensitivity of all other networks can be minimized in a number of ways. One way is to select the polezero pairs as far apart from one another as possible. Other methods depend on the network realization or on the polynomial decomposition used.