Noise Reduction of Wavelength-Modulated Signal Based on Wavelet and Empirical Mode Decomposition

Jing Wang; Lifang Zhang; Jusheng Yang; Yanxia Yang; Guanjia Zhao

doi:10.3788/LOP202259.1830003

Laser & Optoelectronics Progress, Volume. 59, Issue 18, 1830003(2022)

Noise Reduction of Wavelength-Modulated Signal Based on Wavelet and Empirical Mode Decomposition

Jing Wang¹, Lifang Zhang^1,2、*, Jusheng Yang¹, Yanxia Yang¹, and Guanjia Zhao¹

¹Department of Thermal Engineering, College of Electrical and Power Engineering, Taiyuan University of Technology, Taiyuan 030024, Shanxi , China

²The Postdoctoral Workstation of Taiyuan Boiler Group Co., Ltd., Taiyuan 030024, Shanxi , China

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Figures & Tables(9)

Fig. 1. Various signals. (a) Gaussian white noise; (b) ideal second harmonic signal; (c) second harmonic signal after adding Gaussian white noise

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Fig. 2. Variation of SNR of different wavelet systems with number of decomposition layers

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Fig. 3. Results of the second harmonic signal with Gaussian white noise denoised by different methods. (a) Wavelet transform; (b) EMD; (c) wavelet transform combined with EMD

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Fig. 4. Second harmonics with optical fringes

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Fig. 5. Results of the second harmonic signal with optical fringes denoised by different methods. (a) Wavelet transform; (b) EMD; (c) wavelet transform combined with EMD

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Fig. 6. Measured the second harmonic signal experimentally

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Fig. 7. Results of the second harmonic signal denoised by different methods. (a) Wavelet transform; (b) EMD; (c) wavelet transform combined with EMD

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Fig. 8. Fitting between biggest peak height of the second harmonic signal and mass concentration of NH₃. (a) Wavelet transform; (b) EMD; (c) wavelet transform combined with EMD

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Table 1. Results of noise reduction of three methods
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Table 1. Results of noise reduction of three methods
Mass concentration /（mg·m^-3） SNR /dB
Original signal Wavelet transform EMD Wavelet transform combined with EMD
1.52 11.95 74 57 96
3.8 26.14 122 116 128
6.07 16.54 213 111 310
11.38 28.4 317 307 446

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Jing Wang, Lifang Zhang, Jusheng Yang, Yanxia Yang, Guanjia Zhao. Noise Reduction of Wavelength-Modulated Signal Based on Wavelet and Empirical Mode Decomposition[J]. Laser & Optoelectronics Progress, 2022, 59(18): 1830003

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