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Satellite mobile communication signal processing synchronization technology largely determines the quality of communication. For the feature of short burst signal and less unique word in the satellite mobile communication system, this paper studies the traditional linear phase interpolation algorithm based on maximum likelihood criterion and quadratic interpolation FFT frequency deviation estimation algorithm. And this paper analyzes the mechanism of linear phase interpolation algorithm and FFT frequency deviation estimation algorithm. According to the principle of noise averaging, this paper presents an improved linear phase interpolation algorithm in low pilot frequency data. Using the data segment information and the channel information to estimate the frequency deviation, this paper improves the accuracy of frequency deviation estimation in less conduction band.Simulation and test results show that: the improved linear phase interpolation algorithm is better than the traditional algorithm, the accuracy of frequency deviation estimation is higher and meet the signal processing requirements of satellite mobile communication terminals.