Identification of acoustic objects in motion from the fourth-order cumulant spectrum

Develops an analytical method to extract information from received pressure signals using the fourth-order cumulant spectrum based on a far field solution of the wave equation for a monopole acoustic object in motion. The acoustic object is modeled as the transfer function between the transmitted linear frequency modulated waveform and the received pressure signal. The objective is to extract the transfer function of the acoustic object. But due to the motion of the acoustic object the extracted transfer function is modified by the Doppler component. For reference, three motionless spherical acoustic objects differing in material composition and elasticity are presented to demonstrate their unique transfer functions. Based on the results of the paper these transfer functions would be modified by the motion of the acoustic spherical objects.