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 nth-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 pole-zero pairs as far apart from one another as possible. Other methods depend on the network realization or on the polynomial decomposition used.