The high precision and localization of weapons and their test systems are the serious problems that our country has to face. When the sampling rate of the data acquisition system reaches the GSPS level, current domestic ADC chips are hardly applicable. Therefore, under the prerequisite of not reducing sampling accuracy, a method of array sampling with multiple ADCs is proposed to improve the sampling rate of the system. Aiming at the channel mismatch problem existing in TIADC systems, an adaptive error estimation algorithm based on first-order statistics and correction method of improved Farrow time delay filter is proposed, and a new estimation strategy for the time error estimation of the 4-channel TIADC system is proposed. Simulation and experiment results show that the algorithm can accurately estimate the time mismatch error and effectively suppress spurious components. Compared with the data before correction, the spurious-free dynamic range is increased by 20 dB. The proposed method has important practical significance for solving the localization issue of high-speed and high-precision data acquisition equipment.