Abstract: Based on Tikhonov regularization, a new single epoch algorithm suitable for deformation monitoring using single frequency GPS receivers is proposed.Firstly, the characteristic of the normal matrix for double difference carrier phase measurements is analyzed.Then, Tikhonov regularizer is used to transform the normal matrix from rank-deficient to the full rank to obtain float ambiguity solutions and their mean squared error matrix (MSEM), which is then used to accurately fix the ambiguities in combination with LAMBDA method so as to find the single epoch solution of the baseline.Finally, the effective and practicability of the proposed algorithm is demonstrated by a case of an over 3 km long baseline.

Key words: GPS, Deformation monitoring, Single epoch algorithm using single frequency GPS receivers