After a brief introduction to wavelet theory, this paper discusses the critical parameters to be considered in wavelet denoising for infrared laser spectroscopy. In particular, it is shown that measurement dispersion as well as sensibility can be dramatically improved when using wavelet denoising for gas detection by infrared laser absorption spectroscopy.
WeidmannD.WysockiG.OppenheimerC.TittelF.K.. “Development of a compact quantum cascade laser spectrometer for field measurements of CO2 isotopes”. Appl. Phys. B.2005. 80: 255–260.
2.
TeichertH.FernholzT.EbertV.. “Simultaneous in situ measurement of CO, H2O and gas temperatures in a full-sized coal-fired power plant by near-infrared diode laser”. Appl. Opt.2003. 42: 2043–2051.
3.
McManusJ.B.ZahniserM.S.NelsonD.D.WilliamsL.R.KolbC.E.. “Infrared laser spectrometer with balanced absorption for measurement of isotopic ratio of carbon gases”. Spectrochim. Acta, Part A.2002. 58: 2465–2479.
4.
DurryG.. “Balloon-borne near-infrared diode laser spectroscopy for in situ measurements of atmospheric CH4 and H2O”. Appl. Opt.2001. 57: 1855–1863.
5.
PaulJ.CollierC.SaykallyR.SchererJ.O'keefeA.. “Direct measurement of water cluster concentrations by infrared cavity ringdown laser absorption spectroscopy”. J. Phys. Chem. A.1997. 101: 5211–5214.
6.
AizawaT.. “Diode-laser wavelength-modulation absorption spectroscopy for quantitative in situ measurement of temperature and OH radical concentration in combustion gases”. Appl. Opt.2001. 40: 4894–4903.
7.
KosterevA.A.CurlR.F.TittelF.K.GmachlC.CapassoF.SivcoD.L.BaillargeonJ.N.HutchinsonA.L.ChoA.Y.. “Methane concentration and isotopic composition measurement with a mid-infrared quantum-cascade laser”. Opt. Lett.1999. 24: 1762–1764.
AlsbergB.K.WoodwardA.M.WinsonM.K.RowlandJ.KellD.B.. “Wavelet denoising of infrared spectra”. Analyst.1997. 122: 645–652.
10.
ShaoL.GriffithsP.R.. “Automatic baseline correction by wavelet transform for quantitative open-path Fourier transform Infrared spectroscopy”. Environ. Sci. Technol.2007. 41: 7054–7059.
11.
ToA.C.MooreJ.R.GlaserS.D.. “Wavelet denoising techniques with applications to experimental geophysical data”. Signal Proc.2009. 89: 144–160.
12.
PastiL.WalczakB.MassartD.L.ReschiglianP.. “Optimization of signal denoising in discrete wavelet transform”. Chemom. Intell. Lab. Syst.1999. 48: 21–34.
13.
GallowayC.M.Le RuE.C.EtchegoinP.. “An iterative algorithm for background removal in spectroscopy by wavelet transform”. Appl. Spectrosc.2009. 63: 1370–1376.
14.
Harrop GalvaoR. K.JoséG.E.Dantas FilhoH.A.Ugulino AraujoM.C.Da SilvaE.C.PaivaH. M.Bezerra SaldanhaT.C.Nunes De SouzaE.S.O.. “Optimal wavelet filter construction using X and Y data”. Chemom. Intell. Lab. Syst.2004. 70: 1–10.
15.
BurusC.S.GopinathR.A.GuoH.. Introduction to Wavelets and Wavelet Transforms. Prentice Hall, 1997. Pp. 53–66.
16.
ZéninariV.ParvitteB.JolyL.Le BarbuT.AmaroucheN.DurryG.. “Laboratory spectroscopic calibration of infrared tunable laser spectrometers for the in situ sensing of the Earth and Martian atmospheres”. Appl. Phys. B.2006. 85: 265–272.
17.
Van RossumG.. “Python tutorial”. Technical Report. Amsterdam: Centrum voor Wiskunde en Informatica, 1995. May.
18.
BorcherdsP.H.. “Python: a language for computational physics”. Comp. Phys. Commun.2007. 177: 199–201.
19.
JonesE.OliphantT.PetersonP.. “Scipy: Open source scientific tools for Python”. 2001.
DonohoD.L.. “De-noising by soft-thresholding”. IEEE Trans. Information Theory.1995. 41: 613–627.
25.
HuY.JiangT.ShenA.LiW.WangX.HuJ.. “A background elimination method based on wavelet transform”. Chemom. Intell. Lab. Syst.2007. 85: 94–101.
26.
XuL.YanY.. “Wavelet-based removal of sinusoidal interference from a signal”. Meas. Sci. Technol.2004. 15: 1779–1786.
27.
JolyL.DecarpenterieT.DumeliéN.ThomasX.Mappe-FogaingI.MammezD.VallonR.DurryG.ParvitteB.CarrasM.MarcadetX.ZéninariV.. “Development of a versatile atmospheric N2O sensor based on quantum cascade laser technology at 4.5 µm”. Appl. Phys. B.2011. 103: 717–723.