Cramer-Rao Bounds for Range and Motion Parameter Estimations using Dual Frequency Radars

In this paper, statistical bounds on dual-frequency range estimations are provided. Single frequency (Doppler) radars cannot be used in range estimation due to their range ambiguities. An additional frequency can be used to increase the maximum unambiguous range to accepted values for indoor range estimation of moving targets. The dual-frequency approach offers the benefit of reduced complexity, fast computation time, and real time target tracking. Indoor inanimate objects such as fans, vibrating machineries, and clock pendulums exhibit simple harmonic motions, whereas animate translation movements are typically linear. We provide Cramer-Rao bounds for the parameters defining both types of motions and show their dependency on the observation period and partial knowledge of motion and noise parameters.