  This work estimates the position and the transmit power of multiple
co-channel wireless transmitters under model uncertainties. The model
uncertainties include the number of the targets and the parameters of the
path-loss model which enable the system to cope with changes in the weather
conditions and in mmW ranges. The problem is solved by an unbiased estimator.
The underlying complicated optimization problem has a combinatorial nature that
selects the best grid points as the location of the targets. The combinatorial
problem is converted to a convex form by means of l1-regularization, which
enables locating off-grid targets. Simulations show that the proposed algorithm
solves the problem with very high accuracy in the absence of noise and
shadowing.
