Design Methodology of a New Wavelet Basis Function for Fetal Phonocardiographic Signals

Table 2

Comparison of different mother wavelets for denoising of fPCG signals in terms of MSE.

	Wavelet family
				db5					coif4
Algorithm↓	Signal→	S1	S2	S3	S4	S5	S1	S2	S3	S4	S5
(1) Sqtwolog(s)		0.8331	0.9124	1.099	0.3274	0.3328	0.5826	0.5744	1.1137	0.2615	0.2817
(2) Sqtwolog(h)		0.843	0.9124	1.099	0.3274	0.3328	0.5906	0.5666	1.1137	0.2615	0.2817
(3) Minimaxi(s)		0.6295	0.9073	1.099	0.3274	0.3328	0.5371	0.5716	1.1137	0.2712	0.2817
(4) Minimaxi(h)		0.7892	0.8953	1.099	0.7691	0.7779	0.8199	0.7972	1.1137	0.8162	0.8092
(5) Rigrsure(s)		0.575	0.8875	1.1001	0.4331	0.4396	0.4661	0.5531	1.081	0.2539	0.2669
(6) Rigrsure(h)		0.8165	0.8055	1.2945	0.7476	0.7561	1.0091	0.8633	1.2254	1.0062	0.8851
	Wavelet family
				sym7					Fetal  (New)
Algorithm↓	Signal→	S1	S2	S3	S4	S5	S1	S2	S3	S4	S5
(1) Sqtwolog(s)		0.5608	0.6064	1.1245	0.2663	0.2769	0.5723	0.5766	1.1054	0.2712	0.2865
(2) Sqtwolog(h)		0.5629	0.5934	1.1245	0.2663	0.2769	0.6001	0.5613	1.1054	0.2712	0.2865
(3) Minimaxi(s)		0.5615	0.602	1.1245	0.2877	0.2837	0.5298	0.5743	1.1054	0.2712	0.2865
(4) Minimaxi(h)		0.836	0.8363	1.5005	0.8267	0.8224	0.8263	0.7889	1.1054	0.8133	0.8324
(𝟓) Rigrsure(s)		0.5033	0.5979	1.1673	0.4122	0.4436	0.4212	0.539	0.9998	0.2469	0.2518
(6) Rigrsure(h)		0.8431	0.8394	1.5005	0.8369	0.8353	1.1776	0.8519	1.2173	1.1123	0.8732