Diversity waveform sets for high-resolution delay-Doppler imaging

Fundamental properties of the ambiguity function and the uncertainty relation of Fourier transforms assert a fundamental limitation on the ability of any single radar waveform to simultaneously resolve targets closely spaced in both time-delay and Doppler-shift. In this paper, a method of using multiple waveform sets to make high-resolution delay-Doppler measurements is proposed. The fundamental theorem that supports this method is established. Explicit optimal phase, frequency, and joint phase frequency coded waveform sets having constant amplitude are presented, as well as algorithms for the construction of such sets of arbitrary size