Table 5 Detection result comparison of different function models for Markov state selection (DWT)

Average function

$y=\frac{2}{N+1},N=7$

0.25

0.25

0.25

0.25

78.4

79.2

77.6

1.0

2.3

2.2

Linear function

y = a * |x|, a = − 0.160

0.34

0.28

0.22

0.16

77.9

79.4

76.4

1.0

2.5

2.3

Quadratic function

y = a * x² + c, a = − 0.013, c = 0.294

0.37

0.28

0.24

0.18

77.5

78.4

76.5

1.0

2.7

2.1

Gaussian function

$y=a*e^{-x^2/c^2},a=0.351,c=2.890$

0.35

0.31

0.22

0.12

78.0

79.6

76.4

0.9

2.5

2.3

Exponential function

y = a * e^b|x|, a = 0.404, b = − 0.378

0.40

0.28

0.19

0.13

77.6

78.7

76.5

0.9

2.5

1.9