Theme: calculation of spectral coefficients of signals using the machine learning method based on xaar bases


AS A RESULT OF IMPROVING THE HAAR BASES BASED ON MACHINE LEARNING, THE RESULTS OF CALCULATING THE SPECTRAL COEFFICIENTS


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CALCULATION OF SPECTRAL COEFFICIENTS OF SIGNALS USING THE

AS A RESULT OF IMPROVING THE HAAR BASES BASED ON MACHINE LEARNING, THE RESULTS OF CALCULATING THE SPECTRAL COEFFICIENTS.


 

Function

piece - invariant

piece - linear

piece-quadratic

 

Number of signals

64

128

64

128

64

128



Ks

Nk
%

Ks

Nk
%

Ks

Nk
%

Ks

Nk
%

s

Nk
%

Ks

Nk
%

1.

Y= e x

1

38

1

45

1.7

65.3

4.1

5.7

16

96

43

99.2

2.

Y=e 2 x
COS (4x)

1

28

1

33

1.6

47.2

2.8

65.1

11

7 0

9

87.3

3.

th (x)

1

35

1

42

1.1

67

2.3

73

13

92

16

94.5

From experience received in the table results [0; 1] into 64, 128 pieces separate received values to the function when we put harvest has been values .

CALCULATION OF SPECTRAL COEFFICIENTS OF GEOPHYSICAL SIGNALS USING IMPROVED HAAR BASES.


 

Function

piece - invariant

piece - linear

piece-quadratic

 

Number of
signals

64

128

64

128

64

128



Ks

Nk
%

Ks

Nk
%

Ks

Nk
%

Ks

Nk
%

Ks

Nk
%

Ks

Nk
%

1

X B

1.7

46.5

2.6

61

2.7

63.4

3.2

68.5

3.7

73.4

4.7

78.5

2

MX B

1.8

47.6

2.6

62.3

2.9

65.5

3.36

0.1

5.8

82.8

6.4

85.1

The above table shows the results of calculating the spectral coefficients of geophysical signals based on the XB - Haar bases. MXB – Results from Improving Haar Databases Based on Machine Learning.

CONCLUSION

CONCLUSION


Signals spectral coefficients in the calculation Haar piece-invariant , piece- linear and piece-quadratic bases analysis done. Haar bases convenience coefficients count for fast algorithms existence. But many practical issues in solving this bases method accuracy enough not Haar piece-polynomial bases teaching the way with accuracy increase possible analysis done. Analysis in the process Haar piece-quadratic bases choose received and 64, 128 values for calculations implemented . Based on Haar bases in Table 1 received results . In Table 2, Haar bases from improvement harvest done results . To tables attention giving if we In Table 1, y = e x function out of 128 values for when used zero coefficients are 88.2%. In Table 2, the function y=e x is achieving 99.2% when using 128 values. In table 4, the spectral coefficients of geophysical signals were calculated and increased by 78.5% - 85.1%. It can be seen that the accuracy of the values obtained as a result of model improvement is high.
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