Cramèr-Rao lower bounds for radar parameter estimation in noise plus structured interference

This document derives approximate expressions for the Cramèr-Rao lower bounds on the variance of unbiased estimates of the parameters of a narrow-band radar model in the presence of additive white Gaussian noise as well as interference with known structure. We show that the Cramèr-Rao lower bounds with interference are comprised of the bound when the interference is not present and a term that is proportional to the squared normalized-correlation between the radar signal and the interfering signal. Numerical simulations demonstrating these bounds are shown and the threshold effect is observed. The bounds are then used to define an objective function to be used for waveform co-design, and a simple example of this is shown.