  The effects of target motion on the distortion of radar signals are
investigated using five transformations, namely, Hsu, Lorentz, Galilean,
Reference, and Classical transformation equations. Hsu transformation is used
as a primary transformation since it expresses the temporal and spatial
transformations between an inertial reference frame and accelerating frame
where the origin of the accelerating frame has an initial velocity and
acceleration with respect to the inertial frame. Additionally, as the
acceleration approach zero and infinity, respectively, the Lorentz and Galilean
transformations are obtained. These transformations are used to express the
transmitted waveforms in the radar reference frame variables to that of the
target reference frame variables, and the reflected waveform from the target in
its reference frame variable to that of the radar reference frame variables,
leading to the distorted waveform received at the radar receiver due to the
motion of the target.
