Skip to main content
Log in

A Tikhonov Regularizing Algorithm for Processing Multiwave Lidar Data in the Absence of Information on the Measurement Error

  • Published:
Measurement Techniques Aims and scope

Abstract

An algorithm is considered for recovering the aerosol size distribution and also the mean (effective) radius and quantitative concentration from optical data: back-scattering and total attenuation coefficients as measured with a certain error δ at various wavelengths. These quantities are connected by a linear integral Fredholm equation of the first kind. A solution is provided by the modified discrepancy, which enables one to estimate the regularization parameter in the absence of information on the error δ.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. J. Houghton et al., Third Assessment Report of Working Group I of the Intergovernmental Panel on Climate Change, Cambridge Univ., Cambridge (England) (2001), p. 5.

    Google Scholar 

  2. D. Althausen et al., J. Atmos. and Oceanic Technol., No. 17, 1469 (2000).

  3. S. Twomey, Introduction to the Mathematics of Inversion in Remote Sensing and Direct Measurements, Elsevier, New York (1977).

    Google Scholar 

  4. U. Wandinger et al., Appl. Opt., 34, 8315 (1995).

    ADS  Google Scholar 

  5. F. B. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles, John Wiley, New York (1983).

    Google Scholar 

  6. M. L. Krasnov, Integral Equations [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  7. V. K. Ivanov, Dokl. AN SSSR, 145, No.2, 501 (1962).

    Google Scholar 

  8. A. N. Tikhonov and V. Ya. Arsenin, Solution of Ill-Posed Problems, Wiley, New York (1977).

    Google Scholar 

  9. A. P. Ivanov et al., Izv. VUZ, Fiz. Atmosf. Okeana, 22, 633 (1986).

    Google Scholar 

  10. I. Veselovskii et al., Proc. 20th Intern. Laser Radar Conf. (ILRC), Vichy (France) (2000), p. 132.

Download references

Authors

Additional information

__________

Translated from Izmeritel'naya Tekhnika, No. 10, pp. 8–14, October, 2005.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Alekhnovich, V.I., Korenskii, M.Y., Tyumentsev, S.Y. et al. A Tikhonov Regularizing Algorithm for Processing Multiwave Lidar Data in the Absence of Information on the Measurement Error. Meas Tech 48, 946–954 (2005). https://doi.org/10.1007/s11018-006-0002-2

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11018-006-0002-2

Key words

Navigation