Abstract
We describe an algorithm to determine the transfer function of a system.
The time constants of the system are included both in coefficients and exponential terms of the response. When the order of the system becomes high, it is difficult to evaluate them from the response. The exponential terms of the response can be replaced by a set of polynominals. They are derived from Euler's identity and maxima of output responses of Gaussian shape pulse signals. In addition, by using the cross-correlation functions between system output and Gaussian pulse signals, the method can easily be applied to the systems with white observation noise.
Our results demonstrate that it is possible to obtain a good evaluation of the system parameters by the simple procedures.
