The result shows that nonlinearity of the system induces the fractionalharmonic which roots in the noise.
说明系统运动非线性产生的分数次谐波，是诱发噪声的直接原因。
2
Finally, an improved algorithm for fractionalharmonic analysis is used to reduce the leakage, the result of the simulation shows it can heighten the precision of the measure of the parameter.
It is well-known that fractional integral operator is one of the important operators in harmonic analysis with background of partial differential equations.