A general approach for obtaining joint representations in signal analysis. II. General class, mean and local values, and bandwidth

For pt.I see ibid., vol.44, no.5, p.1080-90 (1996). Using the method developed in Cohen (1996) (Part I), the concepts of instantaneous frequency and group delay are generalized to arbitrary variables; in addition, new expressions for mean values and bandwidths are obtained. The kernel method is used to define a general class for arbitrary variables. As in the time-frequency case, the general class generates all possible distributions. The method is also formulated in terms of the local autocorrelation function.