This paper describes the design of a very short pulsed radar waveform in which all the pulsed parameters may be designed so as to support pulse Doppler operation yielding an ambiguity free measurement of target range and velocity whilst maintaining good target visibility at all ranges/velocities in the presence of clutter. We imagine the coherent processing interval to be comprised of a sequence of pulses whose inter-pulse timings and pulse widths can be chosen independently for optimal performance. The waveforms derived here demonstrate an interesting alternative to conventional low, medium or high PRF processing.