A new approach to discrete approximation of a continuous-time system model based on spline function

Abstract

In this paper, a new approach to discrete approximation of continuous-time system models based on fluency signal function which includes and generalizes the staircase and spline signal function is proposed. Since a continuous-time signal in the real world must be approximated within a discrete-time signal space to implement the digital devices for many applications in signal processing area, it is important to use more exact approximation method in the discretization process. The proposed method is expected to derive more accurate discrete approximated model of continuous-time systems than the preexisting methods, because it does not use the conventional numerical approximate computation, but is based on the primitive function for the integration of coefficients of the spline function.