复杂信号周期与否的判定算法与周期测量研究

An Arithmetic and Program Flow Chart for Judging whether a Complex Signal is Periodic and Measuring the Period

指出了评判波形复杂信号周期与否的技术难点,提出了以序列自相关分析为基础的评判算法和周期计算方法.结合考虑实际信号与理想周期信号的差异,就信号周期与否的评判标准进行了MATLAB仿真研究.结果表明,信号周期波动不超过10%时,信号序列自相关系数的最大值的平均值不小于0.9821.分析了仿真数据的客观性,指出,信号周期与否的评判标准不是绝对的,具体标准应根据实际允许的信号周期波动百分比来仿真确定,最后给出了信号周期与否评判程序流程图.

The difficulty judging whether a signal complicated in waveform is periodic is pointed out. Arithmetic of judging whether a signal is periodic and a method of calculating the period based on autoeorrelation analysis of sequence are presented. Consid- ering the difference between actual signal and ideal signal, the standard of judging whether a signal is periodic is studied in simulation. The simulation indicates： when the period fluctuation of a signal doesnt exceed 10%, the average maximum of autocorrelation coefficient of the signal is not less than 0. 982 1. The objectiveness of the simulation data is analyzed, it is pointed that the judging standard is not absolute, and it should be determined by simulation according to the percentage of the periodic fluctuate allowed in practice. The program flow chart judging whether a signal is periodic is presented. The pres- ented theory has been applied to the electronic measurement system.