Joint design of co-existing communication system and pulsed radar

This paper focuses on co-existence between a communication system and a pulsed radar sharing the same bandwidth. We introduce a new figure of merit, named the compound rate which is a convex combination of rates with and without interference, to be optimized under constraints concerning the signal-to-interference-plus-noise ratio experienced by the radar and obviously the powers emitted by the two systems: the degrees of freedom are the radar waveform and the encoding matrix for the communication symbols. We provide closed-form solution for the optimum transmit policies for both systems under two conditions, including two basic models for the covariance matrix of the scattering of the interfering objects towards the communication system. A numerical example shows the potentials and the limitations of the proposed co-existing architecture.