Sampling and reconstruction in time-warped spaces and their applications

摘要

In this paper, we discuss the reconstruction and sampling in time-warped shift-invariant spaces. The reconstruction formula is obtained in time-warped weighted shift-invariant spaces. As an example or application, we apply it to spline subspaces and some band-limited spaces. In spline subspaces, we show some special features and give a reconstruction formula in time-warped spline subspaces through another method. For some band-limited spaces and its time-warped version, we give numerical examples of Benedetto and Heller theorem.