A non-negative approximate Wigner distribution with accurate low-order moments

Abstract

In this paper a procedure to compute a non-negative time-frequency distribution that yields the total energy of the analytic signal and satisfies the zero- and first-order moments of its Wigner distribution is developed. These moments are the instantaneous power (or envelope squared), the energy spectrum, the instantaneous frequency moment, and the group delay moment. The distribution is computed by using a neural network form, iterative algorithm and does not have interference terms.