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本文对机构学中对称连杆曲线的ＦＦＴ分析和综合方法进行了研究。通过合理地选择坐标轴，使对称连杆曲线的离散数据满足共轭对称性。推导出共轭对称序列的快速付里叶变换ＦＦＴ具有相位为零的特性；建立了单纯由幅度谱值构成的对称连杆曲线的特征参数。对给定需实现的对称运动轨迹，运用最小二乘法进行曲线特征参数的比较，实现连杆曲线及相应机构的综合，提高了效率和精度。
In this dissertation, the FFT analysis and synthesis method of symmetric connecting rod curve in mechanics are studied. By reasonably selecting the coordinate axes, the discrete data of the symmetric connecting rod curve satisfies the conjugate symmetry. The fast Fourier transform (FFT) of conjugate symmetric sequences is deduced to have the property of zero phase. The characteristic parameters of the symmetric connecting rod curve composed of amplitude spectral values are established. For a given symmetrical trajectory to be achieved, the least square method is used to compare the characteristic parameters of the curve to realize the combination of the connecting rod curve and the corresponding mechanism, thus improving the efficiency and accuracy.