Moving radar platforms form synthetic apertures for effective target localization. One of the important target
localization techniques is to multilaterate the position of a target based on the own positions of the radar and
the range estimates obtained at each radar position. In practical applications, the radar positions as well as the
range estimates are subject to error due to maneuvering, timing error, as well as measurement noise. Previous
works have shown that, by incorporating the semidefinite relaxation techniques which permit the use of convex
optimization approaches to solve a large class of nonconvex estimation problems, improved target location
estimates can be achieved over those obtained from conventional techniques, such as least square methods. In
some radar applications, on the other hand, it may be advantageous to incorporate the Doppler measurements.
Doppler frequency information is often complementary to range measurements in target localization and is
particularly helpful when range information alone does not provide satisfactory target localization performance.
In this paper, we consider the problem of target localization based on both range and Doppler estimates obtained
at multiple radar locations, where such information as well as the radar locations are subject to certain random
errors. Semidefinite relaxation is applied to formulate convex solutions for this problem. Simulation results are
provided to demonstrate performance improvement by utilizing both range and Doppler estimates.