Steady-motion-based Dopplerlet transform: application to the estimation of range and speed of a moving sound source

New results on the recently introduced steady-motion-based Dopplerlet transform is presented and an estimation scheme for both range and speed of moving sound source using Dopplerlet transform is considered. First, we derive the real, discrete, and real discrete Dopplerlet transforms from their complex counterpart. Second, we reformulate some of the existing integral transformations within the framework of the Dopplerlet transform. Finally, we provide the application results. Experimental results with real underwater acoustic data and land acoustic data, as well as Monte Carlo simulation results with computer-generated data, have confirmed the veracity and practical usefulness of the estimation scheme advocated.