On the detection of transient signals using cross-ΨB-energy operator

In this paper we point out new properties, composition, wideband filtering and quadratic principle, of the cross-Psi_B-energy operator which measures the interaction between two non- stationary signals. These properties are useful for some signal processing applications. We show that due to its bilinearity, Psi_B satisfies the quadratic superposition principle that can be used efficiently for transient signals detection purpose. Results on transient signals detection are presented and discussed.