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Journal articles on the topic 'Overlapping spectra'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Rex, A. F., M. A. Olson, and N. J. Silva. "The Improvement of Mossbauer Spectra by FIRO Deconvolution." Applied Spectroscopy 42, no. 5 (1988): 775–82. http://dx.doi.org/10.1366/0003702884428996.

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A deconvolution method similar to that used by Shimokoshi, Kanzaki, and Jones [Applied Spectroscopy 39, 1014 (1985)] has been used to study 57Fe Mossbauer spectra containing various mixtures of iron compounds. In all cases the spectra studied contained one or more sets of overlapping spectral lines. The resolution of these overlapping lines can often be improved by deconvolution to the point at which the integrated intensities of the deconvoluted peaks provide reliable information about sample concentrations. A comparison of the results which can be obtained for different deconvolution paramet

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2

Koryukina, E. V., and G. Revalde. "Separation of the overlapping spectral lines using derivative spectra." Russian Physics Journal 49, no. 4 (2006): 435–41. http://dx.doi.org/10.1007/s11182-006-0122-9.

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3

Preda, Dana-Maria, Mircea-Alexandru Comănescu, Victor Voicu, Nelu Grinberg, and Andrei-Valentin Medvedovici. "Peak Spectral Homogeneity in LC/DAD: Exploring Alternatives in Peak Purity Evaluations." Processes 12, no. 12 (2024): 2887. https://doi.org/10.3390/pr12122887.

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Spectral peak purity evaluations are often used to control inadequate selectivity issues appearing in liquid chromatography separations coupled with UV-Vis photodiode detection, despite known limitations related to (a) the lack of characteristic absorption bands in UV-Vis for target analytes and overlapping related impurities; (b) increased similarity between the spectral characteristics of co-eluting compounds; (c) large concentration differences between overlapping compounds; (d) perfect co-elution cases. We propose an alternative protocol to evaluate differences between spectra collected ov

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4

Huang, J. B., and M. W. Urban. "Effect of Overlapping Bands on Intensities in ATR FT-IR Spectra." Applied Spectroscopy 46, no. 6 (1992): 1014–19. http://dx.doi.org/10.1366/0003702924124466.

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In this study, several spectra were simulated, and the effect of spectral resolution and intensity is compared for ATR and transmission measurements. The analysis of ATR spectra shows that the intensity differences become more pronounced with the increasing band intensities and decreasing separation of the bands. The intensity ratio differences in ATR spectra are due to the superposition of the asymmetric dispersion bands of the refractive index spectrum. The difference between the spectral features in an overlapping region in ATR and transmission measurements is illustrated, and it is shown t

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5

Schulze, H. Georg, Shreyas Rangan, Martha Z. Vardaki, Michael W. Blades, Robin F. B. Turner, and James M. Piret. "Critical Evaluation of Spectral Resolution Enhancement Methods for Raman Hyperspectra." Applied Spectroscopy 76, no. 1 (2021): 61–80. http://dx.doi.org/10.1177/00037028211061174.

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Overlapping peaks in Raman spectra complicate the presentation, interpretation, and analyses of complex samples. This is particularly problematic for methods dependent on sparsity such as multivariate curve resolution and other spectral demixing as well as for two-dimensional correlation spectroscopy (2D-COS), multisource correlation analysis, and principal component analysis. Though software-based resolution enhancement methods can be used to counter such problems, their performances often differ, thereby rendering some more suitable than others for specific tasks. Furthermore, there is a nee

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6

Dinç, Erdal, Zehra Ceren Ertekin, and Asiye Üçer. "Simultanuous Quantitation of Amlodipine and Rosuvastatin by Artificial Neural Network." Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi 20, no. 1 (2025): 1–9. https://doi.org/10.29233/sdufeffd.1516938.

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Artificial neural network (ANN) is a useful tool in chemometrics to model the complex relationship in spectral data resulting in overlapping spectra, spectral interferences, non-linearity, and deviations from Lambert-Beer law. In this work, a new application of ANN was proposed for the simultaneous spectrophotometric quantification of amlodipine (AML) and rosuvastatin (ROS) in tablets despite their overlapping spectra. The relationship between the actual concentrations and absorption data of binary calibration samples was modeled by ANN. The validity of the method was proved by analyzing AML a

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7

Chen, Li, Wee Chew, and Marc Garland. "Spectral Pattern Recognition of in Situ FT-IR Spectroscopic Reaction Data Using Minimization of Entropy and Spectral Similarity (MESS): Application to the Homogeneous Rhodium Catalyzed Hydroformylation of Isoprene." Applied Spectroscopy 57, no. 5 (2003): 491–98. http://dx.doi.org/10.1366/000370203321666489.

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An improved algorithm using minimization of entropy and spectral similarity (MESS) was tested to recover pure component spectra from in situ experimental Fourier transform infrared (FT-IR) reaction spectral data, which were collected from a homogeneous rhodium catalyzed hydroformylation of isoprene. The experimental spectra are complicated and highly overlapping because of the presence of multiple intermediate products in this reaction system. The traditional entropy minimization method fails to resolve real reaction mixture spectra, but MESS can successfully reconstruct pure component spectra

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8

Sun, Yan, Wensheng Cai, and Xueguang Shao. "Chemometrics: An Excavator in Temperature-Dependent Near-Infrared Spectroscopy." Molecules 27, no. 2 (2022): 452. http://dx.doi.org/10.3390/molecules27020452.

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Temperature-dependent near-infrared (NIR) spectroscopy has been developed and taken as a powerful technique for analyzing the structure of water and the interactions in aqueous systems. Due to the overlapping of the peaks in NIR spectra, it is difficult to obtain the spectral features showing the structures and interactions. Chemometrics, therefore, is adopted to improve the spectral resolution and extract spectral information from the temperature-dependent NIR spectra for structural and quantitative analysis. In this review, works on chemometric studies for analyzing temperature-dependent NIR

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9

Egorova, Iryna, Johanna Michor, and Gerald Teschl. "Long-Time Asymptotics for the Toda Shock Problem: Non-Overlapping Spectra." Zurnal matematiceskoj fiziki, analiza, geometrii 14, no. 4 (2018): 406–51. http://dx.doi.org/10.15407/mag14.04.406.

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10

KAFKA, WOLF A. "Peripheral Coding by Graded Overlapping Reaction Spectra?." Annals of the New York Academy of Sciences 510, no. 1 Olfaction and (1987): 391–95. http://dx.doi.org/10.1111/j.1749-6632.1987.tb43567.x.

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11

Hu, Yaogai, Jinyang Liu, and Wei Li. "Resolution of overlapping spectra by curve-fitting." Analytica Chimica Acta 538, no. 1-2 (2005): 383–89. http://dx.doi.org/10.1016/j.aca.2005.02.024.

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12

Zhang, Xiu, Jian Zheng, Hong Gao, and Yun Zeng. "Nested genetic algorithm for resolving overlapping spectra." Fresenius' Journal of Analytical Chemistry 371, no. 3 (2001): 317–22. http://dx.doi.org/10.1007/s002160100943.

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13

Ma, Xin-Pei, G. R. Palmer, and J. D. MacArthur. "Element concentrations from overlapping X-ray spectra." Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 22, no. 1-3 (1987): 49–54. http://dx.doi.org/10.1016/0168-583x(87)90292-8.

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14

S. Suprapto, Y. L. Ni’mah, A. S. Putri, V. Baroroh, and T. E. Purbaningtias. "BAYESIAN REGRESSION OF OVERLAPPING IBUPROFENPARACETAMOL UV SPECTRA." RASAYAN Journal of Chemistry 15, no. 04 (2022): 2938–45. http://dx.doi.org/10.31788/rjc.2022.1546961.

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Bayesian regression has been successfully applied to predict a full spectrum of ibuprofen and paracetamol binary mixture. The Bayesian regression models were constructed using 25 ibuprofen and paracetamol mixture with concentration combinations of 6, 8, 10, 12, and 14 ppm for each ibuprofen and paracetamol. The models were validated using synthetic test solutions to acquire the model’s accuracy and precision. The intercept, slopes, and model mean squared error indicated that paracetamol prediction on the test and sample solution was more reliable than ibuprofen. The recovery ranges and mean sq

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15

Pomerleau-Dalcourt, Natalie, Robert Weersink, and Lothar Lilge. "Partial Least Squares Based Decomposition of Five Spectrally Overlapping Factors." Applied Spectroscopy 59, no. 11 (2005): 1406–14. http://dx.doi.org/10.1366/000370205774783124.

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The development of a multi-sensory fiber-optic based fluence rate probe (MSP) for light monitoring and dosimetry during photodynamic therapy (PDT) created the need for a robust multivariate signal analysis algorithm capable of quantifying the intensity of five component spectra, representing the sensors, which display a large degree of spectral overlap. Partial least squares (PLS) analysis, as an option for such an analysis algorithm, was evaluated through simulations in the presence of three types of noise, which experimentally may limit the accuracy of PLS quantification of component spectra

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16

Cao, Jianfei, Wei Liu, Yongyu Feng, Jianhua Liu, and Yuanlong Ni. "Predicting nickel concentration in soil using fractional-order derivative and visible-near-infrared spectroscopy indices." PLOS ONE 19, no. 8 (2024): e0302420. http://dx.doi.org/10.1371/journal.pone.0302420.

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Accurate monitoring and estimation of heavy metal concentrations is an important process in the prevention and treatment of soil pollution. However, the weak correlation between spectra and heavy metals in soil makes it difficult to use spectroscopy in predicting areas with a risk of heavy metal pollution. In this paper, a method for detection of Ni in soil in eastern China using the fractional-order derivative (FOD) and spectral indices was proposed. The visible-near-infrared (Vis-NIR) spectra were preprocessed using the FOD (range: 0 to 2, interval: 0.1) to solve the problems of baseline dri

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17

Benda, Aleš, Peter Kapusta, Martin Hof, and Katharina Gaus. "Fluorescence spectral correlation spectroscopy (FSCS) for probes with highly overlapping emission spectra." Optics Express 22, no. 3 (2014): 2973. http://dx.doi.org/10.1364/oe.22.002973.

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18

Crawford, Andrew M., Ben Huntsman, Monica Y. Weng, et al. "Abridged spectral matrix inversion: parametric fitting of X-ray fluorescence spectra following integrative data reduction." Journal of Synchrotron Radiation 28, no. 6 (2021): 1881–90. http://dx.doi.org/10.1107/s1600577521008419.

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Recent improvements in both X-ray detectors and readout speeds have led to a substantial increase in the volume of X-ray fluorescence data being produced at synchrotron facilities. This in turn results in increased challenges associated with processing and fitting such data, both temporally and computationally. Herein an abridging approach is described that both reduces and partially integrates X-ray fluorescence (XRF) data sets to obtain a fivefold total improvement in processing time with negligible decrease in quality of fitting. The approach is demonstrated using linear least-squares matri

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19

Windholz, Laurentius. "Comparison of Optogalvanic and Laser-Induced Fluorescence Spectroscopy." Photonics 11, no. 3 (2024): 279. http://dx.doi.org/10.3390/photonics11030279.

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When investigating complex atomic spectra, it may happen accidentally that two or even several transitions between different pairs of combining energy levels have nearly the same wavenumber, and the observed spectral lines are overlapping (blend situations). In such cases, investigations of hyperfine structures can be very helpful in the identification of the involved transitions. In this paper, two complicated blend situations within the spectra of lanthanide atoms (Praseodymium and Lanthanum) are discussed as examples. The experimental methods applied are optogalvanic and laser-induced fluor

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20

Cernescu, Adrian, Thorsten Maly, and Thomas F. Prisner. "2D-REFINE spectroscopy: Separation of overlapping hyperfine spectra." Journal of Magnetic Resonance 192, no. 1 (2008): 78–84. http://dx.doi.org/10.1016/j.jmr.2008.02.018.

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21

GAO, H., T. LI, K. CHEN, W. LI, and X. BI. "Overlapping spectra resolution using non-negative matrix factorization." Talanta 66, no. 1 (2005): 65–73. http://dx.doi.org/10.1016/j.talanta.2004.09.017.

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22

Eakin, R. T. "Interference in transmission spectra of overlapping Lorentzian lines." Journal of Quantitative Spectroscopy and Radiative Transfer 39, no. 3 (1988): 225–36. http://dx.doi.org/10.1016/s0022-4073(88)90074-x.

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23

Charlesworth, J. M. "Deconvolution of overlapping relaxations in dynamic mechanical spectra." Journal of Materials Science 28, no. 2 (1993): 399–404. http://dx.doi.org/10.1007/bf00357816.

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24

Phillips, D. P., and S. E. Hall. "Auditory temporal gap detection for noise markers with partially overlapping and non-overlapping spectra." Hearing Research 174, no. 1-2 (2002): 133–41. http://dx.doi.org/10.1016/s0378-5955(02)00647-0.

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25

Hong, Sungtak, and Jun Shen. "Magnetic Field Dependence of Spectral Correlations between 31P-Containing Metabolites in Brain." Metabolites 13, no. 2 (2023): 211. http://dx.doi.org/10.3390/metabo13020211.

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Spectral correlations between metabolites in 31P magnetic resonance spectroscopy (MRS) spectra of human brain were compared at 3 and 7 Tesla, the two commonly used magnetic field strengths for clinical research. It was found that at both field strengths, there are significant correlations between 31P-containing metabolites arising from spectral overlap, and their downfield correlations are markedly altered by the background spectral baseline. Overall, the spectral correlations between 31P-containing metabolites are markedly reduced at 7 Tesla with the increased chemical shift dispersion and th

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26

Morita, Shin-Ichi, and Yukihiro Ozaki. "Pattern Recognitions of Band Shifting, Overlapping, and Broadening Using Global Phase Description Derived from Generalized Two-Dimensional Correlation Spectroscopy." Applied Spectroscopy 56, no. 4 (2002): 502–8. http://dx.doi.org/10.1366/0003702021954953.

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In this paper we propose a new method for pattern recognitions of band shifting, overlapping, and broadening using a global phase map derived from generalized two-dimensional correlation spectroscopy (global 2D phase map). To obtain the distinct patterns for band shifting, overlapping, and broadening, original spectra are subjected to scaling so that the spectra after the scaling do not cross one another. After such pretreatment the band shifting creates the tilting of a correlation plane, the band overlapping yields four flat terraces, and the band broadening generates an asymmetric curved pl

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27

Bharucha, Jamshed J., and Keiko Stoeckig. "Priming of chords: Spreading activation or overlapping frequency spectra?" Perception & Psychophysics 41, no. 6 (1987): 519–24. http://dx.doi.org/10.3758/bf03210486.

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28

Dane, C. Brent, Rudolf Brüggemann, Robert F. Curl, Jerome V. V. Kasper, and Frank K. Tittel. "Multiwavenumber linearized diode laser spectra by overlapping frequency scans." Applied Optics 26, no. 1 (1987): 95. http://dx.doi.org/10.1364/ao.26.000095.

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29

Fu, Shouzhong, Zhong Wang, and Guangsheng Wei. "Three spectra inverse Sturm–Liouville problems with overlapping eigenvalues." Electronic Journal of Qualitative Theory of Differential Equations, no. 31 (2017): 1–7. http://dx.doi.org/10.14232/ejqtde.2017.1.31.

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30

Wang, Jian, Thomas Baer, Brian R. Glasberg, Michael A. Stone, Datian Ye, and Brian C. J. Moore. "Pitch perception of concurrent harmonic tones with overlapping spectra." Journal of the Acoustical Society of America 132, no. 1 (2012): 339–56. http://dx.doi.org/10.1121/1.4728165.

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31

Belyaev, O. F., V. V. Kochervinskii, and Yu V. Zelenev. "Separating overlapping bands in the IR spectra of polymers." Journal of Applied Spectroscopy 51, no. 1 (1989): 682–86. http://dx.doi.org/10.1007/bf00664367.

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32

Voráč, Jan, Lukáš Kusýn, and Petr Synek. "Deducing rotational quantum-state distributions from overlapping molecular spectra." Review of Scientific Instruments 90, no. 12 (2019): 123102. http://dx.doi.org/10.1063/1.5128455.

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33

Bowman, Michael K., and Alexei M. Tyryshkin. "Electron Nuclear Quadruple Resonance for Assignment of Overlapping Spectra." Journal of Magnetic Resonance 144, no. 1 (2000): 74–84. http://dx.doi.org/10.1006/jmre.2000.2043.

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34

Thompson, Avery. "Adapting infrared spectroscopy for protein amyloid mixtures." Scilight 2023, no. 12 (2023): 121107. http://dx.doi.org/10.1063/10.0017766.

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35

Şaka, Irfan, and Azmi Gençten. "A Theoretical Investigation of 2D MAXY-JRES NMR Spectroscopy of CDnCDm Groups." Zeitschrift für Naturforschung A 63, no. 5-6 (2008): 339–50. http://dx.doi.org/10.1515/zna-2008-5-614.

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There exists a variety of multiple-pulse NMR experiments for spectral editing of complex molecules in solution. Maximum quantum correlation NMR (MAXY NMR) spectroscopy is one of the techniques for distinguishing CHn groups by editing 1H NMR spectra. Spectral assignments of 2D homonuclear J-resolved NMR spectroscopy become too difficult, due to complex overlapping spectra. In order to overcome this problem a new technique called 2D MAXY-JRES NMR spectroscopy, which is the combination of MAXY NMR and homonuclear J-resolved NMR spectroscopy, is used. In this study, product operator description of

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36

Yang, Jun-Ho, and Jack J. Yoh. "Forensic Discrimination of Latent Fingerprints Using Laser-Induced Breakdown Spectroscopy (LIBS) and Chemometric Approaches." Applied Spectroscopy 72, no. 7 (2018): 1047–56. http://dx.doi.org/10.1177/0003702818765183.

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A novel technique is reported for separating overlapping latent fingerprints using chemometric approaches that combine laser-induced breakdown spectroscopy (LIBS) and multivariate analysis. The LIBS technique provides the capability of real time analysis and high frequency scanning as well as the data regarding the chemical composition of overlapping latent fingerprints. These spectra offer valuable information for the classification and reconstruction of overlapping latent fingerprints by implementing appropriate statistical multivariate analysis. The current study employs principal component

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37

Zhao, Hailong, Shu Gan, Xiping Yuan, Lin Hu, Junjie Wang, and Shuai Liu. "Application of a Fractional Order Differential to the Hyperspectral Inversion of Soil Iron Oxide." Agriculture 12, no. 8 (2022): 1163. http://dx.doi.org/10.3390/agriculture12081163.

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Iron oxide is the main form of iron present in soils, and its accumulation and migration activities reflect the leaching process and the degree of weathering development of the soil. Therefore, it is important to have information on the iron oxide content of soils. However, due to the overlapping characteristic spectra of iron oxide and organic matter in the visible-near infrared, appropriate spectral transformation methods are important. In this paper, we first used conventional spectral transformation (continuum removal, CR; standard normal variate, SNV; absorbance, log (1/R)), continuous wa

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38

Suprapto, Suprapto, Yatim Lailun Ni'mah, and Rifda Alifah Hisana. "Robust Regression Analysis of Full Overlapping Caffeine and Pyridoxine HCl UV-Vis Spectra in Pharmaceutical Tablet." Malaysian Journal of Fundamental and Applied Sciences 19, no. 4 (2023): 539–52. http://dx.doi.org/10.11113/mjfas.v19n4.2918.

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The determination of caffeine and pyridoxine HCl in medicinal tablets has been successfully carried out. The mixture of caffeine and pyridoxine solution produces UV-Vis with full overlapping spectra. The full overlapping spectra can not be analyzed using conventional multicomponent analysis, as they do not have a distinct maximum wavelength. This research proposed a full overlapping spectra analysis using Robust regression. The regression models used in this research were based on Huber, RANSAC, and Theil-Sen Regression. Robust regression is a regression method that was not sensitive to the pr

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39

Li, Shizhe, Jan Willem van der Veen, Li An, et al. "Cerebral phosphoester signals measured by 31P magnetic resonance spectroscopy at 3 and 7 Tesla." PLOS ONE 16, no. 3 (2021): e0248632. http://dx.doi.org/10.1371/journal.pone.0248632.

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Abnormal cell membrane metabolism is associated with many neuropsychiatric disorders. Free phosphomonoesters and phosphodiesters, which can be detected by in vivo 31P magnetic resonance spectroscopy (MRS), are important cell membrane building blocks. However, the quantification of phosphoesters has been highly controversial even in healthy individuals due to overlapping signals from macromolecule membrane phospholipids (MP). In this study, high signal-to-noise ratio (SNR) cerebral 31P MRS spectra were acquired from healthy volunteers at both 3 and 7 Tesla. Our results indicated that, with mini

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40

Mullins, Oliver C., and Yifu Zhu. "First Observation of the Urbach Tail in a Multicomponent Organic System." Applied Spectroscopy 46, no. 2 (1992): 354–56. http://dx.doi.org/10.1366/0003702924125393.

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The exponential attenuation of electronic absorption in spectral regions removed from the absorption maxima, the “Urbach tail,” has been observed in a variety of materials and has been ascribed to thermal and structural disorder. Here, we report, to our knowledge, the first observation of the Urbach tail in a multicomponent organic system (the asphaltenes) which is due, in part, to the overlapping absorption spectra of the diverse component chromophores within the tail spectral region. The distribution of chromophores produces an unusually large, nonthermal width in the Urbach tail.

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41

Zhang, Yanjun, Otso Peräkylä, Chao Yan, et al. "A novel approach for simple statistical analysis of high-resolution mass spectra." Atmospheric Measurement Techniques 12, no. 7 (2019): 3761–76. http://dx.doi.org/10.5194/amt-12-3761-2019.

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Abstract. Recent advancements in atmospheric mass spectrometry provide huge amounts of new information but at the same time present considerable challenges for the data analysts. High-resolution (HR) peak identification and separation can be effort- and time-consuming yet still tricky and inaccurate due to the complexity of overlapping peaks, especially at larger mass-to-charge ratios. This study presents a simple and novel method, mass spectral binning combined with positive matrix factorization (binPMF), to address these problems. Different from unit mass resolution (UMR) analysis or HR peak

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42

Rossetti, Blair J., Steven A. Wilbert, Jessica L. Mark Welch, Gary G. Borisy, and James G. Nagy. "Semi-blind sparse affine spectral unmixing of autofluorescence-contaminated micrographs." Bioinformatics 36, no. 3 (2019): 910–17. http://dx.doi.org/10.1093/bioinformatics/btz674.

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Abstract Motivation Spectral unmixing methods attempt to determine the concentrations of different fluorophores present at each pixel location in an image by analyzing a set of measured emission spectra. Unmixing algorithms have shown great promise for applications where samples contain many fluorescent labels; however, existing methods perform poorly when confronted with autofluorescence-contaminated images. Results We propose an unmixing algorithm designed to separate fluorophores with overlapping emission spectra from contamination by autofluorescence and background fluorescence. First, we

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43

Sadrian, Mohammad R., Wendy M. Calvin, Andrew E. Perrin, Johann P. Engelbrecht, and Hans Moosmüller. "Variations in Infrared Complex Refractive Index Spectra of Surface Soils from Global Dust Entrainment Regions." Atmosphere 14, no. 4 (2023): 675. http://dx.doi.org/10.3390/atmos14040675.

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We explored spectral diversity in infrared (IR, 4–25 μm) imaginary (k) and real (n) indices of refraction (optical constants) for 26 surface soils that originated from global dust entrainment regions. The k spectra were derived from optical transmission spectra of KBr pellets containing dispersed dust and the n spectra were estimated with the subtractive Kramers–Kronig (SKK) method. We compared k and n obtained by this study with previously published values. Our optical constants from the KBr technique are comparable in magnitude and spectral shape to those from previous studies that used dust

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44

Gamper, B., S. Khan, I. Siddiqui, and L. Windholz. "Modelling of emission spectra of Pr I by summarizing hyperfine patterns of overlapping spectral lines." European Physical Journal Special Topics 222, no. 9 (2013): 2171–78. http://dx.doi.org/10.1140/epjst/e2013-01993-9.

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45

Arrondo, José Luis R., Ibon Iloro, Julián Aguirre, and Félix M. Goñi. "A two‒dimensional IR spectroscopic (2D‒IR) simulation of protein conformational changes." Spectroscopy 18, no. 1 (2004): 49–58. http://dx.doi.org/10.1155/2004/406126.

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Two‒dimensional IR correlation spectroscopy (2D‒IR) is a novel method that provides the analysis of infrared spectra with the capacity to differentiate overlapping peaks and to distinguish between in‒phase and out‒of‒phase spectral responses. Artificial spectra originated from protein amide I band component parameters have been used to study their variation in the correlation maps. Using spectra composed of one, two or three Gaussian peaks, behaviour patterns of the bands in the synchronous and asynchronous maps have been originated, with changes in intensity, band position and bandwidth. Inte

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46

Fernando, Sanduni, Jason Martineau, Erik Jorgensen, and Jordan Gerton. "Optimizing Point Spread Functions to Discern Highly Overlapping Emission Spectra." Microscopy and Microanalysis 27, S1 (2021): 864–67. http://dx.doi.org/10.1017/s1431927621003378.

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47

Dumitriu, Ioana, and Elliot Paquette. "Spectra of overlapping Wishart matrices and the Gaussian free field." Random Matrices: Theory and Applications 07, no. 02 (2018): 1850003. http://dx.doi.org/10.1142/s201032631850003x.

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Consider a doubly-infinite array of i.i.d. centered variables with moment conditions, from which one can extract a finite number of rectangular, overlapping submatrices, and form the corresponding Wishart matrices. We show that under basic smoothness assumptions, centered linear eigenstatistics of such matrices converge jointly to a Gaussian vector with an interesting covariance structure. This structure, which is similar to those appearing in [A. Borodin, Clt for spectra of submatrices of Wigner random matrices, Mosc. Math. J. 14(1) (2014) 29–38; A. Borodin and V. Gorin, General beta Jacobi c

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48

G. N., Manjunatha Reddy, and Stefano Caldarelli. "Demixing of Severely Overlapping NMR Spectra through Multiple-Quantum NMR." Analytical Chemistry 82, no. 8 (2010): 3266–69. http://dx.doi.org/10.1021/ac100009y.

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49

Chapados, Camille, Joanna Barwicz, and Ilona Gruda. "Separation of overlapping spectra from evolving systems using factor analysis." Biophysical Chemistry 51, no. 1 (1994): 71–80. http://dx.doi.org/10.1016/0301-4622(94)00030-1.

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Shao, Xueguang, Hua Gu, Jihui Wu, and Yunyu Shi. "Resolution of the NMR Spectrum Using Wavelet Transform." Applied Spectroscopy 54, no. 5 (2000): 731–38. http://dx.doi.org/10.1366/0003702001949997.

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Abstract:

A novel method for resolution of an overlapping nuclear magnetic resonance (NMR) spectrum using the wavelet transform (WT) is proposed. Due to the localization character in terms of both space and scale of the wavelet transform, an NMR spectrum can be decomposed into a series of localized contributions (details and approximations) at different resolution levels, which represent the spectral information of different resolutions. With amplification of the contributions at fine resolution level and then reconstruction (inverse transform), the resolution of the reconstructed NMR spectrum will incr

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