Phase function effects on identification of terahertz spectral signatures using the discrete wavelet transform
Open accessAbstract
We describe the application of the discrete wavelet transform (DWT) in extracting the characteristic absorption signatures of materials from terahertz reflection spectra. We compare the performance of different mother wavelets, including Daubechies, least asymmetric (LA), and Coiflet, based on their phase and gain functions and filter lengths. We show that the phase functions of the wavelet and scaling filters result in spectral shifts to the absorption lines in the wavelet domain. We provide a solution by calculating advancement coefficients necessary to achieve effective zero-phase-function DWT. We demonstrate the utility of this signal processing technique using α-lactose monohydrate/polyethylene samples with different levels of rough surface scattering. In all cases, the DWT-based algorithm successfully extracts resonant signatures at 0.53 and 1.38 THz, even when they are obscured by the rough surface scattering effects. The DWT analysis with accompanying phase corrections can be utilized as a robust technique for material identification in nondestructive evaluation using terahertz spectroscopy.
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When applied to THz absorption or reflection coefficients, wavelet transform can separate characteristic resonant signatures from scattering-induced spectral artifacts.
“We have shown that because wavelet transform provides spectral localization at multiple resolution scales, when applied to THz absorption or reflection coefficients, it can separate the characteristic resonant signatures from the scattering-induced spectral artifacts [15,16,17,44].”
From Translation-Invariant Zero-Phase Wavelet Methods for Feature Extraction in Terahertz Time-Domain Spectroscopy (2022) · cites this paper as [15]
The Conclusion reports that discrete wavelet transform made resonant signatures distinguishable despite scattering in THz signals reflected from smooth and rough sample pellets. The Results and Discussion also report suppression of scattering effects. The paper applies the method to deconvolved reflected-signal amplitude spectra, however, rather than demonstrating it on absorption coefficients; that part of the claim is not established. (LLM, conf=0.83)
Experimental — accuracy not yet measuredWavelet transform provides spectral localization at multiple resolution scales.
“We have shown that because wavelet transform provides spectral localization at multiple resolution scales, when applied to THz absorption or reflection coefficients, it can separate the characteristic resonant signatures from the scattering-induced spectral artifacts [15,16,17,44].”
From Translation-Invariant Zero-Phase Wavelet Methods for Feature Extraction in Terahertz Time-Domain Spectroscopy (2022) · cites this paper as [15]
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“It should be noted that to align the wavelet coefficients in Figures 2d and 3b with the SA signal, wavelet coefficients are circularly shifted, following the phase function correction approach described in [15].”
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Self-citation
- Authors
- Khani, M. E., Winebrenner, D. P., & Arbab, M. H.
- Affiliations
- Stony Brook University (US)
- University of Washington (US)
- Venue
- IEEE Transactions on Terahertz Science and Technology
- Published
- 2020-11
- Volume
- 10
- Issue
- 6
- Pages
- 656-666
- ISSN
- 2156-342X (ISSN-L)
- 2156-3446
- PMC
- PMC7963271
- OpenAlex
- W3030843968
- Cited by
- 31
- References
- 31
- Citations by year
- 2025: 1 · 2024: 1 · 2023: 2 · 2022: 17 · 2021: 6 · 2020: 4
- FWCI
- 2.49
- Type
- journal article
- Language
- en
- Open access
- green
- europepmc.org
- Licence
- Locations
- IEEE Transactions on Terahertz Science and Technology (publishedVersion)
- PubMed (publishedVersion)
- Europe PMC (PubMed Central) (acceptedVersion)
- PubMed Central (acceptedVersion)
- Funders
- National Science Foundation (ECCS-140768)
- National Institute of General Medical Sciences
- National Institutes of Health (R01GM112693)
- Topics
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Terahertz technology and applications
- Physical Sciences › Chemistry › Spectroscopy › Spectroscopy and Laser Applications
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical Analysis and Transform Methods
- Keywords
- terahertz spectroscopy, discrete wavelet transform, phase function, mother wavelet selection, material identification, rough surface scattering, non-destructive testing, Daubechies wavelet, Coiflet wavelet, alpha-lactose monohydrate, polyethylene
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