Pulse Networks with Parabolic Distribution of Poles

In this paper an attempt is made to find the pole configuration for a transfer function whose zeros are all at infinity and which will yield a transient response showing improvement over both the Butterworth, Thomson or Transitional ButterworthThomson ones. Some discussions of the monotonicity conditions of the time response suggest that the poles may conveniently be located on parabolic contours in the left half of the plane. On investigation of such networks, it is found that they show very little or no overshoot, and small rise time. Also the overshoot decreases with increase of the order of the network.