  We develop a theory for waveform-diverse moving-target synthetic-aperture
radar, in the case in which a single moving antenna is used for both
transmitting and receiving. We assume that the targets (scattering objects) are
moving linearly, but we allow an arbitrary, known flight path for the antenna
and allow it to transmit a sequence of arbitrary, known waveforms. A formula
for phase space (position and velocity) imaging is developed, and we provide a
formula for the point-spread function of the corresponding imaging system. This
point-spread function is expressed in terms of the ordinary radar ambiguity
function. As an example, we show how the theory can be applied to the problem
of estimating the errors that arise when target and antenna motion is neglected
during the transit time of each pulse.
