Carrier Phase Recovery for Array Navigation Receiver: A Fast Phase Retrieval Approach

Abstract

A fast carrier phase recovery scheme is developed for satellite navigation receiver using an antenna array based on the phase retrieval theory, in which the antenna array provides sufficient measurement information for the phase recovery algorithm. First, the complex satellite signal model after coherent integration is established using the antenna array. Then, considering symbol uncertainty of the navigation data during the coherent integration time, the carrier phase estimation is formulated as a typical phase retrieval problem. At last, using the squared iterative method (SQUAREM), which is capable of superlinear convergence, a fast variant of the Wirtinger Flow (WF) algorithm is derived to solve the phase recovery problem efficiently without compromising the balance between simplicity and stability. As demonstrated by numerical results, the proposed algorithm outperforms the state-of-the-art in terms of the mean squared error (MSE) convergence. Moreover, the adjustment processes of the carrier phase in the proposed method is validated.