“…A requirement of the proposed inverse approach is the existence of a reliable phase relationship between the elements of the operational pressure vector, p = [p 1 , p 2 , • • • , p n ] T . Classically, in both acoustic and vibro-acoustic applications, this type of operational vector is determined from time averaged auto and cross-spectra, where the crossspectrum angle between each signal and a reference is assigned as the phase of the appropriate auto-spectrum [31] where, and < > represent the Hadamard (element-wise) product and time averaged quantities, respectively. Although a well established method, this cross-spectrum phase approach not only relies on a constant phase relationship, but assumes a steady state source behaviour.…”