A New z Transform Method for Sampled-Data Systems Based on Reformulation of z Transform Pair
Toshihiko Yamawaki, Taikyu Kim, Hiromitsu Kashiwagi, Toshio KOBAYASHI · Transactions of the Society of Instrument and Control Engineers · 1983
This paper showes that conventional z transform of time functions is not an extention of one of number sequences, and reformulates z transform pair to such an integral transformation that converts impulse train to power series of z-1.Applying new z transform to sampled-data systems, it is convenient to make preliminary introduction for a double transformation made from ideal sampling and z transform. The double transformation, named here sz transform, not only corresponds to conventional z transform, but also has the following features.(1) sz transform can analyse exactly such sampled-data systems in which the input of sampler jumps at sampling instants.(2) sz transform plays the same role as modified z transform.