Non-Linear HRV Parameters Deviation from the GT Estimated from the Noisy and Reconstructed Series (The values are in percentage deviation)
| P |
D |
Noisy/Reconstructed |
Non-Linear |
| alpha1 |
alpha2 |
SampEn |
ApEn |
SD1 |
SD2 |
| 10% |
1 |
Noisy (σ = 1) |
26.87 |
23.32 |
75.63 |
58.39 |
1.91 × 103 |
399.80 |
| CSI |
3.45 |
4.13 |
5.15 |
3.42 |
18.58 |
10.83 |
| GP (Linear) |
14.38 |
18.02 |
48.24 |
34.64 |
468.65 |
167.38 |
| GP (Periodic) |
5.34 |
2.87 |
7.47 |
4.17 |
8.56 |
5.13 |
| GP (Brownian) |
1.50 |
2.87 |
3.38 |
1.66 |
3.75 |
1.93 |
| GP (Exponential) |
2.49 |
1.67 |
5.46 |
2.87 |
4.96 |
0.93 |
| GP (Matern 3/2/5/2) |
1.85/2.31 |
1.56/1.60 |
4.39/3.94 |
2.66/2.21 |
3.80/4.04 |
1.01/1.01 |
| GP (RBF/RQ) |
2.00/2.01 |
1.78/1.58 |
2.67/5.05 |
1.49/2.85 |
3.05/4.69 |
1.12/0.94 |
|
| 3 |
Noisy (σ =1) |
26.79 |
18.52 |
80.38 |
69.57 |
1.93 × 103 |
409.65 |
| CSI |
7.83 |
8.42 |
20.92 |
15.63 |
42.22 |
55.33 |
| GP (Linear) |
14.84 |
13.60 |
52.38 |
40.96 |
284.51 |
185.89 |
| GP (Periodic) |
2.06 |
3.53 |
9.34 |
2.11 |
3.17 |
4.61 |
| GP (Brownian) |
1.60 |
4.30 |
6.09 |
2.45 |
4.53 |
2.13 |
| GP (Exponential) |
2.52 |
3.00 |
7.36 |
3.40 |
5.20 |
1.41 |
| GP (Matern 3/2/5/2) |
2.47/3.03 |
2.59/2.57 |
6.33/6.08 |
3.23/3.01 |
3.99/4.31 |
1.67/1.66 |
| GP (RBF/RQ) |
2.60/1.99 |
2.65/2.76 |
5.19/6.75 |
5.19/3.19 |
3.68/5.02 |
1.78/1.59 |
|
| 5 |
Noisy (σ = 1) |
28.73 |
16.35 |
81.66 |
72.64 |
1.92 × 103 |
411.42 |
| CSI |
15.11 |
13.24 |
37.68 |
30.64 |
67.01 |
129.26 |
| GP (Linear) |
20.71 |
17.12 |
53.26 |
43.23 |
221.67 |
188.62 |
| GP (Periodic) |
1.74 |
3.73 |
14.27 |
2.63 |
2.66 |
4.51 |
| GP (Brownian) |
1.64 |
5.16 |
8.80 |
3.23 |
4.81 |
2.13 |
| GP (Exponential) |
2.50 |
4.08 |
9.43 |
3.94 |
5.27 |
1.60 |
| GP (Matern 3/2/5/2) |
3.07/3.62 |
3.50/3.54 |
7.72/7.43 |
3.74/3.60 |
4.09/4.25 |
2.50/2.82 |
| GP (RBF/RQ) |
3.35/1.92 |
3.85/3.58 |
7.05/8.65 |
3.47/3.56 |
3.63/5.13 |
4.02/1.91 |
|
| 7 |
Noisy (σ =1) |
30.49 |
15.39 |
82.58 |
74.58 |
1.95 × 103 |
418.71 |
| CSI |
21.56 |
21.28 |
52.66 |
45.39 |
89.49 |
227.84 |
| GP (Linear) |
21.62 |
22.90 |
53.87 |
44.64 |
183.19 |
192.19 |
| GP (Periodic) |
1.61 |
3.82 |
17.41 |
3.27 |
2.83 |
4.41 |
| GP (Brownian) |
1.61 |
5.87 |
11.09 |
3.89 |
5.03 |
2.17 |
| GP (Exponential) |
2.43 |
5.07 |
11.37 |
4.46 |
5.36 |
1.76 |
| GP (Matern 3/2/5/2) |
3.49/4.16 |
4.55/4.73 |
8.98/8.61 |
4.32/4.31 |
4.27/4.23 |
3.52/4.67 |
| GP (RBF/RQ) |
4.29/1.84 |
5.41/4.25 |
9.11/10.73 |
4.98/3.99 |
3.60/5.24 |
8.43/2.17 |
|
| Variable Duration |
Noisy (σ =1) |
28.81 |
17.19 |
81.22 |
71.48 |
1.95 × 103 |
413.53 |
| CSI |
15.40 |
15.86 |
40.65 |
33.43 |
65.79 |
146.35 |
| GP (Linear) |
16.51 |
17.13 |
52.95 |
42.73 |
225.83 |
183.21 |
| GP (Periodic) |
1.76 |
3.65 |
12.70 |
2.35 |
2.60 |
4.54 |
| GP (Brownian) |
1.64 |
5.15 |
8.65 |
3.14 |
4.74 |
2.11 |
| GP (Exponential) |
2.46 |
4.17 |
9.46 |
3.92 |
5.24 |
1.58 |
| GP (Matern 3/2/5/2) |
2.98/3.50 |
3.60/3.73 |
7.59/7.15 |
3.78/3.58 |
4.09/4.23 |
2.76/3.01 |
| GP (RBF/RQ) |
3.42/1.89 |
4.27/3.57 |
7.05/8.65 |
3.71/3.54 |
3.62/5.09 |
5.20/1.89 |
| 20% |
1 |
Noisy (σ = 1) |
33.80 |
30.42 |
73.98 |
45.47 |
2.73 × 103 |
597.56 |
| CSI |
6.74 |
7.79 |
16.04 |
11.51 |
71.43 |
47.79 |
| GP (Linear) |
21.95 |
23.59 |
52.68 |
34.23 |
669.01 |
257.53 |
| GP (Periodic) |
9.98 |
4.68 |
10.06 |
5.82 |
14.75 |
10.41 |
| GP (Brownian) |
2.78 |
5.85 |
6.48 |
3.01 |
7.63 |
4.01 |
| GP (Exponential) |
5.17 |
2.87 |
12.08 |
6.53 |
10.21 |
1.79 |
| GP (Matern 3/2/5/2) |
3.57/4.50 |
2.54/2.70 |
9.15/7.92 |
5.75/4.46 |
7.58/8.14 |
2.02/2.02 |
| GP (RBF/RQ) |
3.98/4.12 |
3.00/2.63 |
5.11/10.97 |
2.72/6.32 |
6.26/9.68 |
2.17/1.94 |
|
| 3 |
Noisy (σ =1) |
31.96 |
25.69 |
83.17 |
62.69 |
2.73 × 103 |
603.08 |
| CSI |
13.75 |
12.66 |
42.83 |
35.22 |
131.73 |
174.50 |
| GP (Linear) |
16.77 |
17.26 |
61.45 |
47.06 |
426.75 |
283.78 |
| GP (Periodic) |
3.56 |
5.50 |
24.75 |
4.75 |
5.39 |
9.41 |
| GP (Brownian) |
2.88 |
8.45 |
14.08 |
5.51 |
9.24 |
4.25 |
| GP (Exponential) |
5.13 |
5.47 |
16.12 |
7.65 |
10.65 |
2.58 |
| GP (Matern 3/2/5/2) |
5.02/5.65 |
4.10/4.15 |
13.77/13.73 |
7.30/6.67 |
7.82/8.85 |
3.44/2.92 |
| GP (RBF/RQ) |
5.27/3.89 |
4.44/4.87 |
12.01/15.12 |
5.55/7.24 |
7.49/10.29 |
3.65/3.15 |
|
| 5 |
Noisy (σ =1) |
33.59 |
22.87 |
85.71 |
67.95 |
2.74 × 103 |
606.33 |
| CSI |
24.19 |
18.22 |
59.93 |
51.77 |
202.84 |
363.77 |
| GP (Linear) |
26.67 |
16.94 |
63.61 |
52.02 |
337.78 |
287.38 |
| GP (Periodic) |
2.65 |
5.89 |
33.21 |
6.89 |
4.74 |
9.13 |
| GP (Brownian) |
2.94 |
10.78 |
19.42 |
7.35 |
9.96 |
4.14 |
| GP (Exponential) |
5.09 |
8.08 |
19.93 |
8.75 |
10.93 |
2.81 |
| GP (Matern 3/2/5/2) |
6.37/6.85 |
5.60/5.88 |
16.05/16.04 |
8.41/7.99 |
7.95/8.86 |
5.53/5.05 |
| GP (RBF/RQ) |
6.57/3.68 |
6.34/6.99 |
15.57/19.05 |
7.89/8.12 |
7.33/10.64 |
8.17/3.77 |
|
| 7 |
Noisy (σ =1) |
35.15 |
20.38 |
87.08 |
70.89 |
2.75 × 103 |
611.47 |
| CSI |
31.75 |
26.55 |
72.21 |
64.09 |
233.91 |
539.84 |
| GP (Linear) |
29.77 |
22.04 |
65.05 |
55.17 |
281.57 |
291.58 |
| GP (Periodic) |
2.66 |
5.81 |
37.52 |
8.48 |
5.33 |
8.93 |
| GP (Brownian) |
3.03 |
12.07 |
23.91 |
8.91 |
10.28 |
4.00 |
| GP (Exponential) |
5.00 |
10.04 |
23.82 |
9.89 |
10.97 |
2.93 |
| GP (Matern 3/2/5/2) |
7.21/7.99 |
7.64/7.94 |
18.38/18.02 |
9.62/9.43 |
8.25/8.65 |
7.79/8.65 |
| GP (RBF/RQ) |
8.27/3.57 |
8.62/8.27 |
19.26/23.21 |
11.03/9.10 |
7.06/10.73 |
17.82/4.18 |
|
| Variable Duration |
Noisy (σ =1) |
33.35 |
23.73 |
84.55 |
65.42 |
2.75 × 103 |
606.89 |
| CSI |
23.72 |
20.85 |
59.76 |
51.40 |
157.22 |
326.89 |
| GP (Linear) |
20.10 |
16.64 |
62.80 |
50.31 |
347.82 |
282.78 |
| GP (Periodic) |
2.87 |
5.74 |
29.42 |
5.74 |
4.59 |
9.29 |
| GP (Brownian) |
2.97 |
10.29 |
18.67 |
6.95 |
9.83 |
4.11 |
| GP (Exponential) |
5.09 |
7.83 |
19.74 |
8.57 |
10.92 |
2.76 |
| GP (Matern 3/2/5/2) |
6.21/6.63 |
5.95/6.20 |
15.65/15.53 |
8.38/7.85 |
7.95/8.83 |
6.12/5.41 |
| GP (RBF/RQ) |
6.76/3.74 |
6.97/6.64 |
15.01/18.78 |
8.01/7.92 |
7.16/10.60 |
10.34/3.71 |
| 30% |
1 |
Noisy (σ =1) |
39.13 |
34.49 |
66.84 |
31.25 |
3.36 × 103 |
748.69 |
| CSI |
10.38 |
12.27 |
40.20 |
31.26 |
2.43 × 104 |
6.51 × 103 |
| GP (Linear) |
28.63 |
24.93 |
51.55 |
31.33 |
804.40 |
324.00 |
| GP (Periodic) |
14.26 |
6.40 |
10.69 |
6.19 |
19.21 |
15.96 |
| GP (Brownian) |
4.13 |
9.84 |
11.39 |
5.09 |
11.84 |
6.29 |
| GP (Exponential) |
8.12 |
4.60 |
19.75 |
11.14 |
15.97 |
2.77 |
| GP (Matern 3/2/5/2) |
5.42/6.66 |
3.59/4.27 |
15.49/13.27 |
10.03/7.33 |
11.64/12.47 |
3.15/3.28 |
| GP (RBF/RQ) |
6.05/6.36 |
4.81/4.23 |
9.24/18.20 |
4.70/10.72 |
9.76/15.17 |
3.49/3.18 |
|
| 3 |
Noisy (σ =1) |
36.10 |
30.94 |
80.94 |
49.23 |
3.37 × 103 |
754.88 |
| CSI |
18.79 |
16.48 |
62.49 |
53.06 |
532.44 |
604.77 |
| GP (Linear) |
15.75 |
20.39 |
63.99 |
47.31 |
530.14 |
353.51 |
| GP (Periodic) |
5.32 |
7.66 |
37.19 |
8.76 |
7.43 |
14.54 |
| GP (Brownian) |
4.34 |
13.50 |
22.74 |
9.53 |
14.34 |
6.51 |
| GP (Exponential) |
8.19 |
8.60 |
25.02 |
12.72 |
16.60 |
3.77 |
| GP (Matern 3/2/5/2) |
7.93/8.14 |
5.72/6.26 |
21.61/21.92 |
12.25/11.10 |
12.42/13.81 |
5.23/4.16 |
| GP (RBF/RQ) |
7.83/6.10 |
6.67/7.69 |
19.75/23.86 |
9.75/12.08 |
11.57/16.05 |
5.99/4.98 |
|
| 5 |
Noisy (σ =1) |
36.56 |
28.44 |
84.84 |
55.57 |
3.36 × 103 |
758.25 |
| CSI |
30.01 |
21.65 |
74.85 |
64.99 |
489.81 |
811.27 |
| GP (Linear) |
28.28 |
17.53 |
67.70 |
54.38 |
426.61 |
359.39 |
| GP (Periodic) |
3.72 |
8.02 |
46.44 |
12.45 |
7.00 |
13.99 |
| GP (Brownian) |
4.50 |
16.40 |
29.65 |
12.35 |
15.40 |
6.24 |
| GP (Exponential) |
8.16 |
12.03 |
29.90 |
14.33 |
16.93 |
3.99 |
| GP (Matern 3/2/5/2) |
9.86/9.65 |
7.74/8.29 |
24.21/25.09 |
13.91/13.23 |
12.26/13.87 |
8.68/6.85 |
| GP (RBF/RQ) |
9.79/5.78 |
8.96/10.41 |
24.54/28.94 |
13.43/13.45 |
11.35/16.49 |
13.75/5.83 |
|
| 7 |
Noisy (σ = 1) |
37.90 |
25.76 |
87.02 |
59.29 |
3.37 × 103 |
759.21 |
| CSI |
38.10 |
29.61 |
83.08 |
73.22 |
673.41 |
1.31 × 103 |
| GP (Linear) |
33.37 |
19.79 |
69.77 |
58.75 |
358.00 |
362.91 |
| GP (Periodic) |
3.56 |
8.15 |
51.25 |
14.81 |
8.15 |
13.67 |
| GP (Brownian) |
4.60 |
18.71 |
35.35 |
14.79 |
16.03 |
6.06 |
| GP (Exponential) |
7.96 |
15.36 |
34.85 |
16.12 |
17.13 |
4.11 |
| GP (Matern 3/2/5/2) |
11.54/11.37 |
10.57/11.22 |
26.58/27.37 |
15.74/15.21 |
12.33/13.65 |
13.54/12.00 |
| GP (RBF/RQ) |
11.94/5.53 |
12.13/12.69 |
28.91/34.34 |
17.74/15.10 |
11.00/16.75 |
27.64/6.47 |
|
| Variable Duration |
Noisy (σ =1) |
36.35 |
29.59 |
82.44 |
51.58 |
3.36 × 103 |
754.72 |
| CSI |
28.54 |
23.43 |
71.98 |
62.07 |
358.08 |
712.51 |
| GP (Linear) |
19.30 |
16.94 |
65.80 |
50.68 |
446.91 |
356.40 |
| GP (Periodic) |
4.13 |
7.50 |
41.28 |
10.23 |
6.47 |
14.24 |
| GP (Brownian) |
4.46 |
15.85 |
28.10 |
11.53 |
15.06 |
6.26 |
| GP (Exponential) |
8.06 |
11.68 |
29.29 |
14.02 |
16.86 |
3.88 |
| GP (Matern 3/2/5/2) |
9.26/9.20 |
8.25/8.76 |
23.55/23.99 |
13.52/12.57 |
12.34/13.74 |
8.75/6.72 |
| GP (RBF/RQ) |
9.60/5.81 |
9.64/10.00 |
23.37/28.28 |
12.98/13.09 |
11.07/16.37 |
15.33/5.65 |