Fault Size Estimation of Bearings Using Multiple Decomposition Techniques with Artificial Neural Network

Table 2

Result of the proposed algorithm at different decomposition levels of DWTs.

S.No.	Wavelet	Fault type	Fault diameter	Level 1 entropy	Level 2 entropy	Level 3 entropy
1	Daubechies	Inner race	0.007	4.99402	4.96648	4.6139
2		Outer race		4.39204	3.84301	3.19669
3		Ball race		4.68635	5.15762	5.58455
4		Inner race	0.014	5.44514	5.89579	6.25843
5		Outer race		4.61799	5.19792	5.78321
6		Ball race		4.51711	4.8739	5.13163
7		Inner race	0.021	4.67998	4.08159	3.42083
8		Outer race		4.49768	4.19176	3.81456
9		Ball race		4.9763	5.53878	6.09507
1	Haar	Inner race	0.007	4.96365	4.98041	4.59873
2		Outer race		4.45668	3.94193	3.26267
3		Ball race		4.61941	5.09147	5.5482
4		Inner race	0.014	5.45592	5.96977	6.26468
5		Outer race		4.56891	5.11679	5.71352
6		Ball race		4.47173	4.81214	4.98067
7		Inner race	0.021	4.733	4.19014	3.54017
8		Outer race		4.48865	4.14026	3.68452
9		Ball race		4.88952	5.41589	5.92838
1	Sym4	Inner race	0.007	4.9487	4.92179	4.49412
2		Outer race		4.3656	3.83343	3.14384
3		Ball race		4.61294	5.09549	5.49536
4		Inner race	0.014	5.44833	5.95235	6.20637
5		Outer race		4.64124	5.21861	5.7934
6		Ball race		4.47653	4.79758	4.98408
7		Inner race	0.021	4.68324	4.09673	3.44703
8		Outer race		4.49006	4.19583	3.70423
9		Ball race		4.94563	5.50294	6.02354
1	Coif1	Inner race	0.007	4.96341	4.97298	4.66752
2		Outer race		4.39677	3.89673	3.30127
3		Ball race		4.65655	5.11717	5.53661
4		Inner race	0.014	5.42136	5.948	6.2854
5		Outer race		4.62112	5.17604	5.83812
6		Ball race		4.44007	4.77809	5.02732
7		Inner race	0.021	4.66871	4.1003	3.44436
8		Outer race		4.50012	4.25786	3.71598
9		Ball race		4.95024	5.51563	6.0299