FRFT based on joint estimation time delay and radial velocity of underwater target

In this paper, the joint estimated radial velocity and time delay based Fractional Fourier Transform is developed. The FRFT of linear frequency modulation, and the parameter relationships between the real one and discrete computation are shown. During discrete computation, the scaling is involved. And further, the FRFT of pulse signal is derived. The joint estimated radial velocity and time delay is proposed and derived. They are closed related with the location of maximum FRFT spectrum of echo. At last, very promising simulations demonstrated the feasibility of such a new approach and its performance.