Abstract: Aimed at ill-condition observation matrix in precise rapid positioning, a new algorithm for ambiguity resolution using single frequency GPS receiver was studied. According to the principle of Tikhonov regularized algorithm and the perturbation theory of singular value decomposition, an improved algorithm for singular value decomposition (SVD) was designed, and then the non-stabilization on regularized matrix caused by little singular values was avoided. The improved regularized matrix was educed, the construction method was established on the basis of analyzing the characteristics of ill-condition matrix, and it was proved theoretically. The experiment results indicate that the improved algorithm is more effective to improve ill-condition observation matrix, comparing with conventional LAMBDA algorithm and Tikhonov regularized-LAMBDA algorithm; the more precise floating-point and fixing-point solutions can be acquired quickly and credible.

Key words: control and navigation technology of aircraft, integer ambiguity, floating-point, singular value, improved regularized matrix, ill-condition matrix