Criteria to select kernel functions for positive time-frequency distributions of theoretical time-varying signals

The development of positive time frequency distributions (PTFD) is an important issue in the framework of time frequency analysis of nonperiodic signals. A PTFD can be interpreted as the signal energy localized in both time and frequency domains. A PTFD representation depends on a kernel function which is related to the signal to be analyzed. For any particular signal, it is difficult to know its PTFD by only using time and frequency marginal …