Starred transform

Summary

The starred transform is the Laplace transform of the impulse-sampled version of a continuous-time signal. For a sampling period $T$ it equals $X^*(s) = \sum_{n \ge 0} x(nT) e^{-nTs}$. It is the Z-transform of the samples with $z = e^{sT}$, and so it links the continuous-time analysis of a system with its discrete-time model. It is used in the theory of sampled-data control systems.