Waveform Codesign for Radar-Communication Spectral Coexistence via Dynamic Programming

In this article, we develop a new waveform codesign approach for radar-communications spectral coexistence using a decision-Theoretic framework called partially observable Markov decision process (POMDP). The POMDP framework's natural look-Ahead feature allows us to trade off short-Term for long-Term performance, which is necessary in waveform codesign problems with competing objectives and dynamic user needs. As POMDPs are computationally intractable, we extend two approximation methods called nominal belief-state optimization and random-sampling multipath hypothesis propagation to make the codesign approaches tractable.