Abstract: The colored noise processing of theodolite for high speed moving target measurement data is analyzed and discussed.The random errors of the theodolite measuring data processing of the classical methods is introduced.The problems existing in the method of the colored noise processing are pointed out.Based on the analysis for the measurement of serial correlation in the finite difference method，two processing strategies for the colored noise data are proposed.They are non-correlation transformation method and correlation processing method.The calculation process and method of the two processing strategies are introduced in detail.The effectiveness and rationality of the proposed processing strategy are verified by the actual data processing example.Finally，the characteristics of the methods are compared and analyzed.

Key words: Experimental measurement, Data processing, Colored noise, Filtering