Wavelet modulus maxima method for on-line wavelength location of pulsed lidar in CO2 differential absorption lidar detection

Wei Gong; Chengzhi Xiang; Feiyue Mao; Xin Ma; Ailin Liang

doi:10.1364/prj.4.000074

Journals >Photonics Research >Volume 4 >Issue 2 >Page 0074 > Article

Photonics Research
Vol. 4, Issue 2, 0074 (2016)

Wavelet modulus maxima method for on-line wavelength location of pulsed lidar in CO2 differential absorption lidar detection

Wei Gong^1、2、3, Chengzhi Xiang^1、*, Feiyue Mao^{1、2、3、4、5}, Xin Ma¹, and Ailin Liang¹

Author Affiliations

¹State Key Laboratory of Information Engineering in Surveying, Mapping and Remote Sensing, Wuhan University, Luoyu Road 129, Wuhan 430079, China

²Collaborative Innovation Center for Geospatial Technology, Wuhan 430079, China

³Hubei Collaborative Innovation Center for High-efficiency Utilization of Solar Energy, Wuhan 430068, China

⁴School of Remote Sensing and Information Engineering, Wuhan University, Luoyu Road 129, Wuhan 430079, China

⁵e-mail: maofeiyue@whu.edu.cn

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DOI: 10.1364/prj.4.000074 Cite this Article Set citation alerts

Wei Gong, Chengzhi Xiang, Feiyue Mao, Xin Ma, Ailin Liang. Wavelet modulus maxima method for on-line wavelength location of pulsed lidar in CO2 differential absorption lidar detection[J]. Photonics Research, 2016, 4(2): 0074 Copy Citation Text

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Fig. 1. Fluctuation of the dye laser emission system at around 1.6 μm region.

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Fig. 2. Diagram of the ground-based DIAL.

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Fig. 3. Simultaneous emission system of the dual-wavelength laser.

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Fig. 4. Calculated absorption cross sections of CO2 and H2O according to the HITRAN 2012 database.

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Fig. 5. Calculated absorption cross sections of the CO2 molecule at the region of R16.

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Fig. 6. Simulated result of on-line wavelength calibration through the wavelet modulus maxima in R16.

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Fig. 7. Simulated result of on-line wavelength calibration through quintic polynomial fitting in R16.

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Fig. 8. Calibration result of the wavelet modulus maxima and polynomial fitting method with an SNR of 20.

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Fig. 9. Calibration result of the wavelet modulus maxima and polynomial fitting method with an SNR of 80.

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Fig. 10. Calibration result of the wavelet modulus maxima and polynomial fitting method with an SNR of 50.

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Fig. 11. Calibration result of the wavelet modulus maxima and polynomial fitting method with an SNR of 30.

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Fig. 12. Calibration result of the wavelet modulus maxima and polynomial fitting method with an SNR of 10.

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Fig. 13. Calibration result of the wavelet modulus maxima and polynomial fitting method with an SNR of 5.

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Fig. 14. Calibration result of the wavelet modulus maxima and polynomial fitting method with an SNR of 1.

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Fig. 15. Wavelength control unit of the ground-based DIAL.

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Fig. 16. Result of on-line wavelength calibration with real measured signals through the wavelet modulus maxima at the R16 region.

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Abbr.	Position	Intensity	bL(air)	$E^{''}$	$n$	$δ^{0} (air)$	$δ^{'} (air)$	$P$	$T$
C3	6358.654 375	$1.7295 E - 23$	0.076 53	81.9401	0.680	$- 4.92 E - 3$	$- 6.3 E - 5$	101325	296
C4	6359.967 286	$1.7414 E - 23$	0.074 85	106.1297	0.672	$- 4.98 E - 3$	$- 8.3 E - 5$	101325	296
C5	6361.250 392	$1.7026 E - 23$	0.073 55	133.4393	0.653	$- 5.60 E - 3$	$- 6.8 E - 5$	101325	296
H1	6357.881	$3.430 E - 26$	0.075	610.34	0.58	$- 0.0160$	—	101325	296
H2	6358.894	$1.090 E - 27$	0.074	2764.70	0.53	$- 0.0175$	—	101325	296
H3	6360.456	$2.070 E - 28$	0.041	2927.94	0.37	$- 0.0273$	—	101325	296
H4	6361.442	$8.875 E - 27$	0.017	1327.12	$- 0.06$	$- 0.0120$	—	101325	296
H5	6361.838	$1.020 E - 27$	0.025	2972.83	0.09	$- 0.0171$	—	101325	296

Table 1. Spectroscopic Parameters of CO2 and H2O Involved in the Simulation Analysis

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Calibration Accuracy	0.1 pm	0.2 pm	0.5 pm	0.8 pm	$> 0.8 pm$
No.	31	18	44	6	1

Table 2. Statistical Result of the 100 Simulated Experiments Through the Wavelet Modulus Maxima

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Calibration Accuracy	0.1 pm	0.2 pm	0.5 pm	0.8 pm	$> 0.8 pm$
No.	22	9	27	21	21

Table 3. Statistical Result of the 100 Simulated Experiments Through Quintic Polynomial Fitting

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Method SNR		80	50	30	10	5	1
Wavelet Modulus Maxima	ABS(nm)	1572.3363	1572.3364	1572.3365	1572.3366	1572.3367	1572.3367
	SD	$2.2851 E - 12$	$1.5067 E - 4$	$3.1825 E - 4$	$4.6450 E - 4$	$5.1508 E - 4$	$6.1714 E - 4$
Quintic Polynomial Fitting	ABS(nm)	1572.3368	1572.3368	1572.3368	1572.3369	1572.3372	1572.3373
Quintic Polynomial Fitting	SD	$7.5201 E - 4$	$7.4352 E - 4$	$7.1890 E - 4$	$8.6116 E - 4$	$1.1728 E - 3$	$1.3906 E - 3$

Table 4. Statistical Calibration Results of the Simulated Signals Through Two Methods with Different SNRs

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	1	2	3	4	5	6	7	8
T values	0.32530	0.32228	0.32541	0.33157	0.32228	0.32535	0.33163	0.32535
C values	0.32228	0.32228	0.32767	0.33317	0.32228	0.32231	0.32911	0.32223
D values	0.00302	0	0.00226	0.00160	0	0.00304	0.00252	0.00302
	9	10	11	12	13	14	15	16
T values	0.32228	0.31614	0.32228	0.31921	0.32228	0.33154	0.31922	0.32541
C values	0.31921	0.31921	0.32228	0.31614	0.31921	0.33461	0.31922	0.32541
D values	0.00307	0.00307	0	0.00307	0.00307	0.00307	0.00010	0