Denoising Method Based on Sparse Representation for WFT Signal

Table 2

Comparison of SNR and CC by using the three different denoising methods.

SNR before denoising	Frequency	SNR after denoising (dB)			CC after denoising
		Hard threshold	Soft threshold	The proposed method	Hard threshold	Soft threshold	The proposed method
10 dB	50	11.8975	12.5750	13.3241	0.9901	0.9908	0.9912
	55	12.1520	12.8504	13.4851	0.9798	0.9813	0.9845
	60	11.7591	12.4382	13.5607	0.9732	0.9735	0.9756
	65	11.6483	12.0538	13.2084	0.9789	0.9800	0.9812
	70	11.5608	12.4672	13.6375	0.9816	0.9833	0.9863
5 dB	50	8.0593	8.8428	9.0593	0.9843	0.9854	0.9893
	55	8.3879	8.8534	9.7245	0.9620	0.9632	0.9689
	60	8.3189	9.0547	9.8915	0.9609	0.9637	0.9664
	65	8.0125	8.8504	9.7581	0.9636	0.9658	0.9692
	70	7.5483	8.1592	9.2461	0.9709	0.9724	0.9759
0 dB	50	6.1360	6.8254	7.5268	0.9738	0.9755	0.9780
	55	5.8967	6.5249	7.0423	0.9586	0.9614	0.9631
	60	5.1586	5.4860	6.7808	0.9694	0.9721	0.9743
	65	6.1404	6.5328	7.0524	0.9638	0.9645	0.9672
	70	5.1453	5.8918	6.9245	0.9652	0.9674	0.9695
−5 dB	50	3.5524	3.9805	4.5246	0.9631	0.9647	0.9663
	55	2.8593	3.4395	4.1250	0.9646	0.9651	0.9684
	60	2.7695	3.0256	3.8925	0.9659	0.9683	0.9705
	65	3.1369	3.5284	4.2386	0.9571	0.9588	0.9594
	70	3.1245	3.8925	4.8425	0.9609	0.9613	0.9635
−10 dB	50	1.2534	1.8562	2.5851	0.9476	0.9489	0.9498
	55	1.5962	2.1256	2.8408	0.9549	0.9553	0.9563
	60	1.2564	1.7592	2.3614	0.9423	0.9428	0.9446
	65	0.9547	1.5410	2.0596	0.9362	0.9365	0.9372
	70	1.5814	1.9854	2.5468	0.9438	0.9443	0.9456