FREQUENCY RESPONSE OF NORRIS GAP DERIVATIVES AND ITS PROSPERITIES FOR GAS SPECTRA ANALYSIS

Sławomir Cięszczyk

doi:10.35784/iapgos.2101

Open full text

PDF

Published: Dec 20, 2020

DOI: https://doi.org/10.35784/iapgos.2101

Issue Vol. 10 No. 4 (2020)

Articles

MODELING ELECTROMAGNETIC NANOSTRUCTURES AND EXPERIMENTING WITH NANOELECTRIC ELEMENTS TO FORM PERIODIC STRUCTURES
Miloslav Steinbauer, Roman Pernica, Jiri Zukal, Radim Kadlec, Tibor Bachorec, Pavel Fiala

4-14
X-RAY DIFFRACTION AND MÖSSBAUER SPECTROSCOPY INVESTIGATIONS OF THE (Al, Ni, Co)-DOPED AgFeO2 SYNTHESIZED BY HYDROTHERMAL METHOD
Karolina Siedliska

15-18
COMPUTER PREDICTION OF TECHNOLOGICAL REGIMES OF RAPID CONE-SHAPED ADSORPTION FILTERS WITH CHEMICAL REGENERATION OF HOMOGENEOUS POROUS LOADS
Andrii Bomba, Yurii Klymyuk, Ihor Prysіazhnіuk

19-24
FREQUENCY RESPONSE OF NORRIS GAP DERIVATIVES AND ITS PROSPERITIES FOR GAS SPECTRA ANALYSIS
Sławomir Cięszczyk

25-28
BIT ERROR NOTIFICATION AND ESTIMATION IN REDUNDANT SUCCESSIVE-APPROXIMATION ADC
Serhii Zakharchenko , Roman Humeniuk

29-32
DEVELOPMENT OF A MODULAR LIGHT-WEIGHT MANIPULATOR FOR HUMAN-ROBOT INTERACTION IN MEDICAL APPLICATIONS
Adam Kurnicki, Bartłomiej Stańczyk

33-37
TAKING INTO ACCOUNT THE PHASE INSTABILITY OF GENERATORS CAUSED BY THE INFLUENCE OF IONIZING RADIATION OF SPACE ON THE PARAMETERS OF CARRIER FREQUENCY SYNCHRONIZATION SYSTEMS
Oleksandr Turovsky, Sergei Panadiy

38-42
MULTI-CHANNEL DIGITAL-ANALOG SYSTEM BASED ON CURRENT-CURRENT CONVERTERS
Olexiy Azarov, Yevhenii Heneralnytskyi, Nataliia Rybko

43-46
A COMPUTER SYSTEM FOR ACQUISITION AND ANALYSIS OF MEASUREMENT DATA FOR A SKEW ROLLING MILL IN MANUFACTURING STEEL BALLS
Marcin Buczaj, Andrzej Sumorek

47-50
RESEARCH ON A MAGNETIC FIELD SENSOR WITH A FREQUENCY OUTPUT SIGNAL BASED ON A TUNNEL-RESONANCE DIODE
Alexander Osadchuk, Vladimir Osadchuk, Iaroslav Osadchuk

51-56
DIGITAL CONTACT POTENTIAL PROBE IN STUDYING THE DEFORMATION OF DIELECTRIC MATERIALS
Kanstantsin Pantsialeyeu, Anatoly Zharin, Oleg Gusev, Roman Vorobey, Andrey Tyavlovsky, Konstantin Tyavlovsky, Aliaksandr Svistun

57-60
OVERVIEW OF AOI USE IN SURFACE-MOUNT TECHNOLOGY CONTROL
Magdalena Michalska

61-64
AN ELECTRICALLY-CONTROLLED AXIAL-FLUX PERMANENT MAGNET GENERATOR
Piotr Paplicki, Paweł Prajzendanc, Marcin Wardach

65-68
METHOD OF DETERMINING THE COP COEFFICIENT FOR A COOLING SYSTEM
Mariusz Rzasa, Sławomir Pochwała, Sławomir Szymaniec

69-72
THE IMPACT OF DIGITAL PHOTOGRAPHY PROCESSING IN MOBILE APPLICATIONS ON THE QUALITY OF REACH IN SOCIAL MEDIA
Magdalena Paśnikowska-Łukaszuk, Arkadiusz Urzędowski

73-76
USE OF WEB 2.0 TOOLS BY POLISH HEALTH PORTALS
Magdalena Czerwinska

77-82

DOI

https://doi.org/10.35784/iapgos.2101

Authors

Sławomir Cięszczyk

s.cieszczyk@pollub.pl

Lublin University of Technology,

https://orcid.org/0000-0002-3986-2690

Abstract

The article deals with an analysis of the properties of Norris gap derivatives. It discusses issues related to determining information from optical spectra measured with spectrometers. Impulse responses of differentiating filters were introduced using both Norris and Savitzky-Golay methods. The amplitude-frequency responses of the first and second order Norris differentiating filters were compared. The length impact of both segment and gaps on the frequency characteristics of filters was compared. The processing of exemplary gas spectra using the discussed technique was subsequently presented. The effect of first and second order derivatives on the spectra of carbon monoxide rotational lines for low resolution measurements is investigated. The Norris method of derivatives are very simple to implement and the calculation of their parameters does not require the use of advanced numerical methods.

Keywords:

Norris method, optical spectra derivative, spectroscopy, signal processing

References

Brown C. D., Vega-Montoto L., Wentzell P. D.: Derivative preprocessing and optimal corrections for baseline drift in multivariate calibration. Applied Spectroscopy 54(7), 2000, 1055–1068. DOI: https://doi.org/10.1366/0003702001950571

Candan Ç., Inan H.: A unified framework for derivation and implementation of Savitzky–Golay filters. Signal Processing 104, 2014, 203–211. DOI: https://doi.org/10.1016/j.sigpro.2014.04.016

Dai W., Selesnick I., Rizzo J. R., Rucker J., Hudson T.: A nonlinear generalization of the Savitzky-Golay filter and the quantitative analysis of saccades. Journal of vision 17(9), 2017, 10–19. DOI: https://doi.org/10.1167/17.9.10

Davies A. M. C.: Derivative? What Do You Mean “Derivative”? NIR news 4(4), 1993, 10–11. DOI: https://doi.org/10.1255/nirn.199

De Jong S. A., O'Brien W. L., Lu Z., Cassidy B. M., Morgan S. L., Myrick M. L.: Optimization of gap derivatives for measuring blood concentration of fabric using vibrational spectroscopy. Applied Spectroscopy 69(6), 2015, 733–748. DOI: https://doi.org/10.1366/14-07693

Figueiredo N. S., Ferreira L. H., Dutra O. O.: An Approach to Savitzky-Golay Differentiators. Circuits, Systems, and Signal Processing 38(9), 2019, 4369–4379. DOI: https://doi.org/10.1007/s00034-019-01045-w

Giakas G., Baltzopoulos V.: Optimal digital filtering requires a different cut-off frequency strategy for the determination of the higher derivatives. Journal of biomechanics 30(8), 1997, 851–855. DOI: https://doi.org/10.1016/S0021-9290(97)00043-2

Gorry P. A.: General least-squares smoothing and differentiation by the convolution (Savitzky-Golay) method. Analytical Chemistry 62(6), 1990, 570–573. DOI: https://doi.org/10.1021/ac00205a007

Hopkins D. W.: What is a Norris derivative?. NIR news 12(3), 2001, 3–5. DOI: https://doi.org/10.1255/nirn.611

Hopkins D.W.: Revisiting the Norris derivative quotient math in regression. NIR news 27(7), 2016, 23–28. DOI: https://doi.org/10.1255/nirn.1643

Kennedy H. L.: Improving the frequency response of Savitzky-Golay filters via colored-noise models. Digital Signal Processing 102, 2020, 102743. DOI: https://doi.org/10.1016/j.dsp.2020.102743

Kus S., Marczenko Z., Obarski N.: Derivative UV-VIS spectrophotometry in analytical chemistry. Chem. Anal 41(6), 1996, 889–927

Lee L. C., Liong C. Y., Jemain A. A.: A contemporary review on Data Preprocessing (DP) practice strategy in ATR-FTIR spectrum. Chemometrics and Intelligent Laboratory Systems 163, 2017, 64–75. DOI: https://doi.org/10.1016/j.chemolab.2017.02.008

Luo J., Ying K., He P., Bai J.: Properties of Savitzky-Golay digital differentiators. Digital Signal Processing 15(2), 2005, 122–136. DOI: https://doi.org/10.1016/j.dsp.2004.09.008

Pan T., Zhang J., Shi X.: Flexible vitality of near-infrared spectroscopy – Talking about Norris derivative filter. NIR news 31(1-2), 2020, 24–27. DOI: https://doi.org/10.1177/0960336019889587

Pasquini C.: Near infrared spectroscopy: A mature analytical technique with new perspectives – A review. Analytica Chimica Acta 1026, 2018, 8–36. DOI: https://doi.org/10.1016/j.aca.2018.04.004

Savitzky A., Golay M. J.: Smoothing and differentiation of data by simplified least squares procedures. Analytical chemistry 36(8), 1964, 1627–1639. DOI: https://doi.org/10.1021/ac60214a047

Van Veen E. H., de Loos-Vollebregt M. T. C.: Application of mathematical procedures to background correction and multivariate analysis in inductively coupled plasma-optical emission spectrometry. Spectrochimica Acta Part B: Atomic Spectroscopy 53(5), 1998, 639–669.

Wulf M., Staude G., Knopp A., Felderhoff T.: Efficient design of FIR filter based low-pass differentiators for biomedical signal processing. Current Directions in Biomedical Engineering 2(1), 2016, 215–219. DOI: https://doi.org/10.1515/cdbme-2016-0048

Yang Y., Pan T., Zhang J.: Global optimization of Norris derivative filtering with application for near-infrared analysis of serum urea nitrogen. American Journal of Analytical Chemistry 10(5), 2019, 143–152. DOI: https://doi.org/10.4236/ajac.2019.105013

Cięszczyk, S. (2020). FREQUENCY RESPONSE OF NORRIS GAP DERIVATIVES AND ITS PROSPERITIES FOR GAS SPECTRA ANALYSIS. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 10(4), 25–28. https://doi.org/10.35784/iapgos.2101

FREQUENCY RESPONSE OF NORRIS GAP DERIVATIVES AND ITS PROSPERITIES FOR GAS SPECTRA ANALYSIS

Issue Vol. 10 No. 4 (2020)

Archives

DOI

Authors

Abstract

Keywords:

References

License

Article Sidebar

Issue Vol. 10 No. 4 (2020)

Archives

Main Article Content

DOI

Authors

Abstract

Keywords:

References

Article Details

License