A technique of time-frequency analysis of unevenly sampled data sets is developed to study variations in the night mesospheric ozone emission spectra obtained from ground-based millimeter-wave observations. Basic computational formulas as well as results of numerical simulations with monochromatic and noise signals are presented. The results of the simulation are in good agreement with theoretical estimates.
Similar content being viewed by others
References
Scientific Assessment of Ozone Depletion: 2014 World Meteorological Organization, Global Ozone Research and Monitoring Project: Report No. 55, WMO (2014).
G. L. Manney, M. L. Santee, M. Rex, et al., “Unprecedented Arctic ozone loss in 2011,” Nature, 478, No. 7370, 469–470 (2011).
M. A. Janssen (ed.), Atmospheric Remote Sensing by Microwave Radiometry, Wiley & Sons, New York (1993).
S. V. Solomonov, K. P. Gaykovich, Ye. P. Kropotkina, et al., “Remote sounding of atmospheric ozone using millimeter waves,” Izv. Vuzov. Radiofi zika, 54, No. 2, 113–121 (2011).
S. V. Solomonov, Ye. P. Kropotkina, and A. I. Semenov, “Observation of mesospheric ozone using millimeter waves,” Kratk. Soobsh. Fiz. FIAN, No. 10, 31–39 (2001).
A. N. Ignat’ev, Radiometry of Atmospheric Ozone and Chloride Oxide Using Millimeter Waves: Auth. Abstr. Dissert. Cand. Phys. Math. Sci., MGU, Moscow (2006).
S. B. Rozanov, A. S. Zavgorodniy, S. V. Logvinenko, et al., “Noiseless detector for microwave ozone metrology,” Izv. Vuzov. Radiofi zika, 54, No. 8–9, 708–718 (2011).
S. B. Rozanov, S. V. Solomonov, Ye. P. Kropotkina, et al., “Apparatus complex for ground microwave sounding for ozone and chloride oxide in the Earth’s atmosphere,” in: Radar and Radio Communications: 7th All-Russ. Sci. Tech. Conf., Nov. 25–27, 2013, Izd. IRE RAN, Moscow (2013), pp. 98–102.
S. V. Solomonov, A. N. Ignat’ev, Ye. P. Kropotkina, et al., “A spectral instrument for use in monitoring atmospheric ozone using millimeter waves,” Prib. Tekhn. Eksperim., No. 2, 138–144 (2009).
A. B. Sergienko, Digital Processing of Signals, Piter, St. Petersburg (2006), 2nd ed.
V. V. Vityazev, Wavelet Analysis of Time Series, Piter, St. Petersburg (2001).
J. D. Scargle, “Studies in astronomical time series analysis. II. Statistical aspects of spectral analysis of unevenly spaced data,” Astrophys. Space Sci., 263, 835–853 (1982).
N. R. Lomb, “Least-squares frequency analysis of unequally spaced data,” Astrophys. Space Sci., 39, 447–462 (1976).
F. J. M. Barning, “The numerical analysis of the light-curve of 12 Lacertae,” Bull. Astron. Inst. Netherlands, 17, 22–28 (1963).
W. H. Press et al. (eds.), Numerical Recipes, Cambridge (1986), pp. 685–692.
Speeding Up Calculations in MatLab: Proc. Web Seminar of MathWorks, www.mathworks.com/videos/speeding-upmatlab-applications-82459.html, acces. July 12, 2016.
S. V. Zaranke, B. Chou, G. Sharma, and Kh. Zarrinkub, “Speeding up algorithms and applications in MatLab,” http://matlab.ru/articles/Matlab_acceleration.pdf, acces. July 12, 2016.
A. S. Zavgorodnii, S. B. Rozanov, A. N. Ignat’ev, et al., “Time-frequency analysis of variations in microwave emission of the night time mesospheric ozone over Moscow,” Proc. 10th All-Russ. Seminar on Radiophysical Millimeter and Submillimeter Waves, Izd. IPF RAN, N. Novgorod (2016), p. 144.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izmeritel’naya Tekhnika, No. 8, pp. 55–59, August, 2016.
Rights and permissions
About this article
Cite this article
Rozanov, S.B., Zavgorodniy, A.S. & Ignat’ev, A.N. Technique of Time-Frequency Analysis of a Series of Measurements of the Radiation Spectra of Night Mesospheric Ozone in the Millimetric Wavelength Range. Meas Tech 59, 870–877 (2016). https://doi.org/10.1007/s11018-016-1060-8
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11018-016-1060-8