Abstract: We propose a fast phase decoding algorithm based on a one-dimensional look-up table. Firstly, according to the property of the arctangent function in the phase calculation formula, the phase relationship between the four quadrants is obtained. A linear function is used to map the coordinate points in the first quadrant to a discrete integer interval, and a one-dimensional look-up table of phases is established in advance by combining the interval with the linear function. In the process of phase calculation, firstly, the index of the one-dimensional look-up table is calculated by using relevant information to directly obtain the phase value, and then the phase value is adjusted by the linear interpolation method and phase relationship to obtain the final real phase. Experiments have verified the effectiveness of the proposed algorithm. Compared with the traditional phase calculation method, the proposed method can improve the speed by 3.97 times, 1.29 times compared with the traditional polynomial approximation algorithm, and 1.20 times compared with the traditional one-dimensional look-up table algorithm.