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The utilization of RF signals to probe material properties of objects is ofhuge interest both in academia as well as industry. To this end, a setup isinvestigated, in which a transmitter equipped with a two-dimensionalmulti-antenna array dispatches a signal, which hits objects in the environmentand the reflections from the objects are captured by distributed sensors. Thereceived signal at those sensors are then amplified and forwarded to a multipleantenna fusion center, which performs space-time post-processing in order tooptimize the information extraction. In this process, optimal design of powerallocation per object alongside sensors amplifications is of crucialimportance. Here, the power allocation and sensors amplifications is jointlyoptimized, given maximum-ratio combining (MRC) at the fusion center. Weformulate this challenge as a sum-power minimization under per-object SINRconstraints, a sum-power constraint at the transmitter and individual powerconstraints at the sensors. Moreover, the advantage of deploying zero-forcing(ZF) and minimum mean-squared error (MMSE) at the fusion center is discussed.Asymptotic analysis is also provided for the case that large number of sensorsare deployed in the sensing environment.

Contact-less Material Probing with Distributed Sensors: Joint Sensing and Communication Optimization