Nonuniform sampling and interpolation based on partially dilated sampling function

The fluency model clarifies the relationship between continuous-time and discrete-time systems by utilizing a group of piecewise polynomial functions called fluency digital/analog functions (common sampling function). By selecting a fluency sampling function of an appropriate class according to the characteristics of the signals in question, we can interpolate and accurately approximate continuous-time signals from sampled data. The fluency sampling functions are applicable to many areas. We show one of such possibilities and propose a method for nonuniform sampling and interpolation based on fluency sampling functions. The proposed technique is effective for any discrete-time system