Debiased coordinate conversion of bistatic radar measurements

The introduction of biases into monostatic radar measurements as a result of conversion from sine space coordinates into Cartesian coordinates is a well-known problem. Specifically, this problem occurs in long-range radars or radars with high range resolution. However, the biases have only been determined with regard to monostatic radars. With a possible resurgence in bistatic radar, specifically since in certain cases, a Multiple-Input-Multiple-Output (MIMO) radar system can be formulated in terms of bistatic radar pairs, understanding the biases as a result of such coordinate conversions becomes important. In this paper, we present the equations for transforming bistatic measurements into Cartesian coordinates, as well as derive expressions for the biases in the mean and covariance that result.