Abstract
Correction of the line spectrum is of great importance for practical use. By employing Parseval's theorem, two equalities regarding the line spectrum are derived. On this basis, a new approach for amplitude correction using the average of multiple points in discrete Fourier transform sequence is proposed. In comparison with the existing methods, it has the advantages of computational efficiency and high precision. The strategy for determining the number of points used for the average is presented. Theoretical analysis also shows that this approach is not significantly influenced by the slight fluctuation in both frequency and amplitude of the signal component. Thus, it is suitable for analysing the vibration signals of rotating machinery with small fluctuation in rotating speed. The effectiveness and efficiency of the proposed approach are verified by synthetic signals.
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