离散频谱多点卷积幅值修正法的理论分析

Theoretic Analysis of Amplitude Correction Approach Using Convolution of Several Points in Discrete Spectrum

利用信号处理中的帕塞伐原理得到两个有关离散频谱特性的重要结论，在此基础上提出了离散频谱多点卷积幅值修正法，并讨论了算法中的参数选取问题，仿真计算表明该方法确实有效。理论分析还表明该方法特别适合于转速有小波动的旋转机械振动信号分析。

Correction of discrete spectrum is of great importance for practical use.In this paper,according to the Parseval principle,two important conclusions about the feature of discrete spectrum are deduced.An amplitude correction approach using convolution of several points in discrete spectrum is proposed.In comparison with other approaches,it has the advantages of convenience and high precision.The problem about determining the parameter utilized in this approach is discussed and resolved.The effectiveness of this approach is verified by synthetic signals.Theoretic analysis also shows that this approach is especially suitable for analyzing the vibration signals of rotary machinery with small fluctuation in rotation speed.