In order to avoid the iterative computations in passive location

two theoretical analysis frameworks used to solve two kinds of location equations are presented via converting the nonlinear measurement equations into the pseudo-linear equalities.First

two kinds of mathematical model for the pseudo-linearization of two nonlinear measurement equations are formulated

which are not limited to specific physical measurements

and then the corresponding weighted linear least squares (WLS) solutions are derived.Subsequently

the theoretical estimation variances of the two analytical solutions are derived through first-order perturbation analysis methodology

and their theoretical location performances are proved to be able to attain the corresponding Cramr-Rao bound (CRB) before the threshold effect occurs and

hence

the asymptotical optimality of the two pseudo-linearization location methods are verified.Finally

the AOA/TOA location and AOA/TDOA/FDOA location are taken as examples to describe the application of the two pseudo-linearization location methods

and the simulation experiments are conducted to corroborate the effectiveness of the theoretical analysis in this paper.