A frequency diverse Doppler radar for range-to-motion estimation in urban sensing applications

Abstract

In this paper, statistical bounds on carrier diverse range estimation 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 target is assumed to have a linear translation motion profile. The dual frequency radar can also be used to estimate the actual target velocity, by conducting two different Doppler data measurements, separated by a time period, over which the target continues to exhibit the identical linear translation motion. The parametric model is developed, and the identifiability of the parameters is validated by the non-singularity of the Fisher information matrix. We provide Cramer-Rao bounds for the parameters and show their dependency on the observation period assuming partial knowledge of motion and noise parameters.