TIME-FREQUENCY LOCALIZATION VIA THE WEYL CORRESPONDENCE

A technique of producing signals whose energy is concentrated in a giv en region of the time-frequency plane is examined. The degree to which a particular signal is concentrated is measured by integrating the Wi gner distribution over the given region. This procedure was put forwar d by Flandrin, and has been used for time-varying filtering in the rec ent work of Hlawatsch, Kozek, and Krattenthaler. In this paper, the as sociated operator is studied. Estimates for the eigenvalue decay and t he smoothness and decay of the eigenfunctions are established.