In Section 3, a new IDRE is constructed and the ARSGW denoising method is proposed.
(7) Calculate the IDRE of the reconstructed signal, and increase the iteration variable i to i + 1.
Therefore, IDRE is constructed for the rotating machinery vibration signal.
It can be concluded from (8) that the fewer the noise components the signal contains, the better the denoising result, and the larger the value of IDRE.
The optimal parameters M = 2, N = 2, L = 5, [SNR.sub.out] = 27.3924, and IDRE = 0.9987.
To illustrate the effectiveness of ARSGW and IDRE on getting the optimal signal denoising result and the denoising result evaluation, respectively, the constructed signal is also denoised by RSGW with different values of M, N, and L.
In this case, the obtained [SNR.sub.out] = 27.3924 and IDRE = 0.9987.
(2) The variation tendency of IDRE is consistent with that of [SNR.sub.out], which indicates the IDRE could be used to evaluate the denoising result.
To test the effectiveness of IDRE further, denoising simulation when there is no noise was conducted.