Bistatic CRLBs for TTD array resource allocation during JCAS
This paper conveys the theoretical sensing capability of a Joint Communication and Sensing (JCAS) system that utilizes a True-Time-Delay (TTD) array configuration. The TTD beamformer separates subcarrier beams into different angular locations for wide-beam coverage. The bistatic sensing performance of a TTD array configuration is modeled as a function of the number of array elements and the fractional power supplied by the transmitter. The sensing capability when employing a TTD array configuration is derived using the Cram\'er-Rao Lower Bound (CRLB) of a bistatic delay-AOA(Angle Of Arrival)-phase log-likelihood function which is obtained by cross-correlating complex eigenvectors extracted from the quadratic time-frequency domain representation of multicomponent phase-coded signals. The multicomponent phase-codes used here are synchronization signals that are defined by the 5G communications standard. The bistatic delay-AOA-phase estimation capability whilst utilizing these signals and a TTD configuration was seen to be highly non-linear with respect to the number of elements and fractional power supplied for the surveillance scenario shown; an allocation of 30 antenna elements supplied with maximum power made a sub-meter and sub-degree estimation capability theoretically possible.
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