Positioning of Characteristic Spectral Peaks Based on Improved Sine Cosine Algorithm

Kun Yu; Qingliang Jiao; Zilong Liu; Yiqin Jiang; Qiaoxiang Zhang; Yufang Liu

doi:10.3788/AOS201939.0930008

Acta Optica Sinica, Volume. 39, Issue 9, 0930008(2019)

Positioning of Characteristic Spectral Peaks Based on Improved Sine Cosine Algorithm

Kun Yu¹, Qingliang Jiao¹, Zilong Liu^1,2、*, Yiqin Jiang², Qiaoxiang Zhang², and Yufang Liu¹

Author Affiliations

¹ College of Physics & Materials Science, Henan Normal University, Xinxiang, Henan 453007, China;

² Division of Optics, National Institute of Metrology, Beijing 100029, China

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Figures & Tables(7)

Fig. 1. Measured spectrograms. (a) Ho2O3 filter; (b) Pr-Nd filter

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Fig. 2. Wavelength localization results of spectral characteristic peaks with Gaussian white noise of different signal-to-noise ratios added. (a) Strong peak; (b) weak peak; (c) overlapping peak

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Table 1. Characteristic peaks of certified reference materials for Pr-Nd filters and Ho2O3 filters

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Table 1. Characteristic peaks of certified reference materials for Pr-Nd filters and Ho2O3 filters

No.	Ho₂O₃ filter		Pr-Nd filter
No.	Peak position /nm	Peak type	Peak position /nm		Peak type
1	241.7			Weak		351.1	Strong
2	279.3			Weak		431.2	Weak
3	288.0			Weak		461.4	Weak
4	333.9			Weak		473.5	Weak
5	347.7			Weak		513.4	Strong
6	360.9			Strong		529.8	Strong
7	381.0			Weak		572.7	Weak
8	385.8			Weak		585.7	Strong
9	418.6			Strong		624.4	Weak
10	446.1			Strong		684.8	Weak
11	453.6			Weak		739.2	Strong
12	460.0			Strong		748.3	Weak
13	473.3			Weak		807.7	Strong
14	484.9			Weak
15	536.6			Strong
16	637.8			Weak
17	649.5			Weak
18	662.4			Weak

Table 2. Peak recognition rate

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Table 2. Peak recognition rate

Algorithm	Peak recognition rate
Algorithm	Strong peak /%	Weak peak /%	Overlapping peak /%
Third-order derivative algorithm	100	60^*	37.1^*
Symmetric zero-area algorithm	100	90^*	56.3
SCA	100	85	59.6
Improved SCA	100	95	87.4
*indicates that the incorrect recognition case exists.

Table 3. RMSE of spectral peak central wavelength
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Table 3. RMSE of spectral peak central wavelength
Algorithm RMSE /pm
Strong peak Weak peak Overlapping peak
Third-order derivative algorithm 1.60 8.19 15.71
Symmetric zero-area algorithm 1.49 7.81 11.33
SCA 1.55 7.88 11.04
Improved SCA 1.53 5.20 9.12

Table 4. RMSE of spectral peak value accuracy
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Table 4. RMSE of spectral peak value accuracy
Algorithm RMSE /%
Strong peak Weak peak Overlapping peak
Third-order derivative algorithm 0.12 3.57 3.91
Symmetric zero-area algorithm 0.16 3.93 3.94
SCA 0.11 3.44 3.50
Improved SCA 0.11 3.20 3.37

Table 5. Run time
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Table 5. Run time
Algorithm Time /s
Third-order derivative algorithm 4.61
Symmetric zero-area algorithm 31.37
SCA 30.71
Improved SCA 36.14

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Kun Yu, Qingliang Jiao, Zilong Liu, Yiqin Jiang, Qiaoxiang Zhang, Yufang Liu. Positioning of Characteristic Spectral Peaks Based on Improved Sine Cosine Algorithm[J]. Acta Optica Sinica, 2019, 39(9): 0930008

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