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In this paper, we derive the information theoretic performance bounds oncommunication data rates and errors in parameter estimation, for a joint radarand communication (JRC) system. We assume that targets are semi-passive, i.e.they use active components for signal reception, and passive components tocommunicate their own information. Specifically, we let the targets to havecontrol over their passive reflectors in order to transmit their owninformation back to the radar via reflection-based beamforming orbackscattering. We derive the Cramer-Rao lower bounds (CRBs) for the meansquared error in the estimation of target parameters. The concept of a targetambiguity function (TAF) arises naturally in the derivation CRBs. Using theseTAFs as cost function, we propose a waveform optimization technique based oncalculus of variations. Further, we derive lower bounds on the data rates forcommunication on forward and reverse channels, in radar-only and joint radarand communications scenarios. Through numerical examples, we demonstrate theutility of this framework for transmit waveform design, codebook construction,and establishing the corresponding data rate bounds.

Radar Information Theory for Joint Communication and Parameter Estimation with Passive Targets