  Previous work established fundamental bounds on subwavelength resolution for
the radar range resolution problem, called superradar [Phys. Rev. Appl. 20,
064046 (2023)]. In this work, we identify the optimal waveforms for
distinguishing the range resolution between two reflectors of identical
strength. We discuss both the unnormalized optimal waveform as well as the best
square-integrable pulse, and their variants. Using orthogonal function theory,
we give an explicit algorithm to optimize the wave pulse in finite time to have
the best performance. We also explore range resolution estimation with
unnormalized waveforms with multi-parameter methods to also independently
estimate loss and time of arrival. These results are consistent with the
earlier single parameter approach of range resolution only and give deeper
insight into the ranging estimation problem. Experimental results are presented
using radio pulse reflections inside coaxial cables, showing robust range
resolution smaller than a tenth of the inverse bandedge, with uncertainties
close to the derived Cram\'er-Rao bound.
