Abstract

The background scene generator MATISSE, whose main functionality is to generate natural background radiance images, makes use of the so-called Correlated K (CK) model. It necessitates either loading or computing thousands of CK coefficients for each atmospheric profile. When the CK coefficients cannot be loaded, the computation time becomes prohibitive. The idea developed in this paper is to substitute fast approximate models for the exact CK generator; using the latter, a representative set of numerical examples is built and used to train linear or nonlinear regression models. The resulting models enable an accurate CK coefficient computation for all the profiles of an image in a reasonable time.

© 2009 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. P. Simoneau, K. Caillault, S. Fauqueux, T. Huet, L. Labarre, C. Malherbe, and B. Rosier, “MATISSE-v1.5 and MATISSE-v2.0: new developments and comparison with MIRAMER measurements,” Proc. SPIE 7300, 73000L (2009).
    [CrossRef]
  2. Q. Fu and K. N. Liou, “On the correlated k-distribution method for radiative transfer in nonhomogeneous atmospheres,” J. Atmos. Sci. 49, 2139-2156 (1992).
    [CrossRef]
  3. A. A. Lacis and V. Oinas, “A description of the correlated k distribution method for modeling nongray gaseous absorption, thermal emission, and multiple scattering in vertically inhomogeneous atmospheres,” J. Geophys. Res. 96, 9027-9063 (1991).
    [CrossRef]
  4. L. Ibgui and J. Hartmann, “An optimized line by line code for plume signature calculations--I: model and data,” J. Quant. Spectrosc. Radiat. Transfer 75, 273-295 (2002).
    [CrossRef]
  5. A. Berk, G. P. Anderson, P. K. Acharya, J. H. Chetwynd, L. S. Bernstein, E. P. Shettle, M. W. Matthew, and S. M. Adler-Golden, MODTRAN4 User's Manual (Air Force Research Laboratory, Space Vehicles Directorate, Air Force Materiel Command, Hanscom AFB, MA 01731-3010, 1999), p. 7.
  6. G. Li, Z. Lu, G. Guo, and K. Huang, “3D atmospheric modeling based on Modtran4,” WSEAS Trans. Syst. Control 3, 483-492(2008).
  7. P. Koepke, M. Hess, I. Schult, and E. P. Shettle, “Global Aerosol Dataset GADS,” Report 243 (Max-Planck-Institut für Meteorologie, Hamburg, 1997).
  8. F. Karcher, “Détermination des profils atmosphériques de référence pour la mesure de constituants par spectroscopie d'absorption,” Programmes prfl et rmel, Notes Internes CNRM (1990).
  9. L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
    [CrossRef]
  10. I. Rivals and L. Personnaz, “MLPs (mono-layer polynomial and multi-layer perceptrons) for nonlinear modeling,” J. Mach. Learn. Res. 3, 1383-1398 (2003).
    [CrossRef]
  11. S. Chen, A. Billings, and W. Luo, “Orthogonal least-squares methods and their application to non-linear system identification,” Int. J. Control 50, 1873-1896 (1989).
    [CrossRef]
  12. R. Fletcher, Practical Methods of Optimization (Wiley, 1987).
  13. A. R. Barron, “Neural net approximation,” in Proceedings of Seventh Yale Workshop on Adaptive and Learning Systems (Yale University, 1992), pp. 69-72.
  14. E. D. Sontag, “Neural networks for control,” in Essays on Control: Perspectives in the Theory and its Applications, H. L. Trentelman and J. C. Willems, eds. (Birkhäuser, 1993), pp. 339-380.
  15. G. A. F. Seber, Linear Regression Analysis (Wiley, 1977).
  16. I. Rivals and L. Personnaz, “Construction of confidence intervals for neural networks based on least squares estimation,” Neural Networks 13, 463-484 (2000).
    [CrossRef] [PubMed]

2009 (1)

P. Simoneau, K. Caillault, S. Fauqueux, T. Huet, L. Labarre, C. Malherbe, and B. Rosier, “MATISSE-v1.5 and MATISSE-v2.0: new developments and comparison with MIRAMER measurements,” Proc. SPIE 7300, 73000L (2009).
[CrossRef]

2008 (1)

G. Li, Z. Lu, G. Guo, and K. Huang, “3D atmospheric modeling based on Modtran4,” WSEAS Trans. Syst. Control 3, 483-492(2008).

2005 (1)

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

2003 (1)

I. Rivals and L. Personnaz, “MLPs (mono-layer polynomial and multi-layer perceptrons) for nonlinear modeling,” J. Mach. Learn. Res. 3, 1383-1398 (2003).
[CrossRef]

2002 (1)

L. Ibgui and J. Hartmann, “An optimized line by line code for plume signature calculations--I: model and data,” J. Quant. Spectrosc. Radiat. Transfer 75, 273-295 (2002).
[CrossRef]

2000 (1)

I. Rivals and L. Personnaz, “Construction of confidence intervals for neural networks based on least squares estimation,” Neural Networks 13, 463-484 (2000).
[CrossRef] [PubMed]

1992 (1)

Q. Fu and K. N. Liou, “On the correlated k-distribution method for radiative transfer in nonhomogeneous atmospheres,” J. Atmos. Sci. 49, 2139-2156 (1992).
[CrossRef]

1991 (1)

A. A. Lacis and V. Oinas, “A description of the correlated k distribution method for modeling nongray gaseous absorption, thermal emission, and multiple scattering in vertically inhomogeneous atmospheres,” J. Geophys. Res. 96, 9027-9063 (1991).
[CrossRef]

1989 (1)

S. Chen, A. Billings, and W. Luo, “Orthogonal least-squares methods and their application to non-linear system identification,” Int. J. Control 50, 1873-1896 (1989).
[CrossRef]

Acharya, P. K.

A. Berk, G. P. Anderson, P. K. Acharya, J. H. Chetwynd, L. S. Bernstein, E. P. Shettle, M. W. Matthew, and S. M. Adler-Golden, MODTRAN4 User's Manual (Air Force Research Laboratory, Space Vehicles Directorate, Air Force Materiel Command, Hanscom AFB, MA 01731-3010, 1999), p. 7.

Adler-Golden, S. M.

A. Berk, G. P. Anderson, P. K. Acharya, J. H. Chetwynd, L. S. Bernstein, E. P. Shettle, M. W. Matthew, and S. M. Adler-Golden, MODTRAN4 User's Manual (Air Force Research Laboratory, Space Vehicles Directorate, Air Force Materiel Command, Hanscom AFB, MA 01731-3010, 1999), p. 7.

Anderson, G. P.

A. Berk, G. P. Anderson, P. K. Acharya, J. H. Chetwynd, L. S. Bernstein, E. P. Shettle, M. W. Matthew, and S. M. Adler-Golden, MODTRAN4 User's Manual (Air Force Research Laboratory, Space Vehicles Directorate, Air Force Materiel Command, Hanscom AFB, MA 01731-3010, 1999), p. 7.

Barbe, A.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Barron, A. R.

A. R. Barron, “Neural net approximation,” in Proceedings of Seventh Yale Workshop on Adaptive and Learning Systems (Yale University, 1992), pp. 69-72.

Benner, D.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Berk, A.

A. Berk, G. P. Anderson, P. K. Acharya, J. H. Chetwynd, L. S. Bernstein, E. P. Shettle, M. W. Matthew, and S. M. Adler-Golden, MODTRAN4 User's Manual (Air Force Research Laboratory, Space Vehicles Directorate, Air Force Materiel Command, Hanscom AFB, MA 01731-3010, 1999), p. 7.

Bernstein, L. S.

A. Berk, G. P. Anderson, P. K. Acharya, J. H. Chetwynd, L. S. Bernstein, E. P. Shettle, M. W. Matthew, and S. M. Adler-Golden, MODTRAN4 User's Manual (Air Force Research Laboratory, Space Vehicles Directorate, Air Force Materiel Command, Hanscom AFB, MA 01731-3010, 1999), p. 7.

Billings, A.

S. Chen, A. Billings, and W. Luo, “Orthogonal least-squares methods and their application to non-linear system identification,” Int. J. Control 50, 1873-1896 (1989).
[CrossRef]

Birk, M.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Brown, L.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Caillault, K.

P. Simoneau, K. Caillault, S. Fauqueux, T. Huet, L. Labarre, C. Malherbe, and B. Rosier, “MATISSE-v1.5 and MATISSE-v2.0: new developments and comparison with MIRAMER measurements,” Proc. SPIE 7300, 73000L (2009).
[CrossRef]

Carleer, M. R.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Chackerian, C.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Chance, K.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Chen, S.

S. Chen, A. Billings, and W. Luo, “Orthogonal least-squares methods and their application to non-linear system identification,” Int. J. Control 50, 1873-1896 (1989).
[CrossRef]

Chetwynd, J. H.

A. Berk, G. P. Anderson, P. K. Acharya, J. H. Chetwynd, L. S. Bernstein, E. P. Shettle, M. W. Matthew, and S. M. Adler-Golden, MODTRAN4 User's Manual (Air Force Research Laboratory, Space Vehicles Directorate, Air Force Materiel Command, Hanscom AFB, MA 01731-3010, 1999), p. 7.

Coudert, L. H.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Dana, V.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Devi, V. M.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Fauqueux, S.

P. Simoneau, K. Caillault, S. Fauqueux, T. Huet, L. Labarre, C. Malherbe, and B. Rosier, “MATISSE-v1.5 and MATISSE-v2.0: new developments and comparison with MIRAMER measurements,” Proc. SPIE 7300, 73000L (2009).
[CrossRef]

Flaud, J.-M.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Fletcher, R.

R. Fletcher, Practical Methods of Optimization (Wiley, 1987).

Fu, Q.

Q. Fu and K. N. Liou, “On the correlated k-distribution method for radiative transfer in nonhomogeneous atmospheres,” J. Atmos. Sci. 49, 2139-2156 (1992).
[CrossRef]

Gamache, R. R.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Goldman, A.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Guo, G.

G. Li, Z. Lu, G. Guo, and K. Huang, “3D atmospheric modeling based on Modtran4,” WSEAS Trans. Syst. Control 3, 483-492(2008).

Hartmann, J.

L. Ibgui and J. Hartmann, “An optimized line by line code for plume signature calculations--I: model and data,” J. Quant. Spectrosc. Radiat. Transfer 75, 273-295 (2002).
[CrossRef]

Hartmann, J.-M.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Hess, M.

P. Koepke, M. Hess, I. Schult, and E. P. Shettle, “Global Aerosol Dataset GADS,” Report 243 (Max-Planck-Institut für Meteorologie, Hamburg, 1997).

Huang, K.

G. Li, Z. Lu, G. Guo, and K. Huang, “3D atmospheric modeling based on Modtran4,” WSEAS Trans. Syst. Control 3, 483-492(2008).

Huet, T.

P. Simoneau, K. Caillault, S. Fauqueux, T. Huet, L. Labarre, C. Malherbe, and B. Rosier, “MATISSE-v1.5 and MATISSE-v2.0: new developments and comparison with MIRAMER measurements,” Proc. SPIE 7300, 73000L (2009).
[CrossRef]

Ibgui, L.

L. Ibgui and J. Hartmann, “An optimized line by line code for plume signature calculations--I: model and data,” J. Quant. Spectrosc. Radiat. Transfer 75, 273-295 (2002).
[CrossRef]

Jacquemart, D.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Jucks, K. W.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Karcher, F.

F. Karcher, “Détermination des profils atmosphériques de référence pour la mesure de constituants par spectroscopie d'absorption,” Programmes prfl et rmel, Notes Internes CNRM (1990).

Koepke, P.

P. Koepke, M. Hess, I. Schult, and E. P. Shettle, “Global Aerosol Dataset GADS,” Report 243 (Max-Planck-Institut für Meteorologie, Hamburg, 1997).

Labarre, L.

P. Simoneau, K. Caillault, S. Fauqueux, T. Huet, L. Labarre, C. Malherbe, and B. Rosier, “MATISSE-v1.5 and MATISSE-v2.0: new developments and comparison with MIRAMER measurements,” Proc. SPIE 7300, 73000L (2009).
[CrossRef]

Lacis, A. A.

A. A. Lacis and V. Oinas, “A description of the correlated k distribution method for modeling nongray gaseous absorption, thermal emission, and multiple scattering in vertically inhomogeneous atmospheres,” J. Geophys. Res. 96, 9027-9063 (1991).
[CrossRef]

Li, G.

G. Li, Z. Lu, G. Guo, and K. Huang, “3D atmospheric modeling based on Modtran4,” WSEAS Trans. Syst. Control 3, 483-492(2008).

Liou, K. N.

Q. Fu and K. N. Liou, “On the correlated k-distribution method for radiative transfer in nonhomogeneous atmospheres,” J. Atmos. Sci. 49, 2139-2156 (1992).
[CrossRef]

Lu, Z.

G. Li, Z. Lu, G. Guo, and K. Huang, “3D atmospheric modeling based on Modtran4,” WSEAS Trans. Syst. Control 3, 483-492(2008).

Luo, W.

S. Chen, A. Billings, and W. Luo, “Orthogonal least-squares methods and their application to non-linear system identification,” Int. J. Control 50, 1873-1896 (1989).
[CrossRef]

Maki, A. G.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Malherbe, C.

P. Simoneau, K. Caillault, S. Fauqueux, T. Huet, L. Labarre, C. Malherbe, and B. Rosier, “MATISSE-v1.5 and MATISSE-v2.0: new developments and comparison with MIRAMER measurements,” Proc. SPIE 7300, 73000L (2009).
[CrossRef]

Mandin, J.-Y.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Massie, S. T.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Matthew, M. W.

A. Berk, G. P. Anderson, P. K. Acharya, J. H. Chetwynd, L. S. Bernstein, E. P. Shettle, M. W. Matthew, and S. M. Adler-Golden, MODTRAN4 User's Manual (Air Force Research Laboratory, Space Vehicles Directorate, Air Force Materiel Command, Hanscom AFB, MA 01731-3010, 1999), p. 7.

Oinas, V.

A. A. Lacis and V. Oinas, “A description of the correlated k distribution method for modeling nongray gaseous absorption, thermal emission, and multiple scattering in vertically inhomogeneous atmospheres,” J. Geophys. Res. 96, 9027-9063 (1991).
[CrossRef]

Orphal, J.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Perrin, A.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Personnaz, L.

I. Rivals and L. Personnaz, “MLPs (mono-layer polynomial and multi-layer perceptrons) for nonlinear modeling,” J. Mach. Learn. Res. 3, 1383-1398 (2003).
[CrossRef]

I. Rivals and L. Personnaz, “Construction of confidence intervals for neural networks based on least squares estimation,” Neural Networks 13, 463-484 (2000).
[CrossRef] [PubMed]

Rinsland, C. P.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Rivals, I.

I. Rivals and L. Personnaz, “MLPs (mono-layer polynomial and multi-layer perceptrons) for nonlinear modeling,” J. Mach. Learn. Res. 3, 1383-1398 (2003).
[CrossRef]

I. Rivals and L. Personnaz, “Construction of confidence intervals for neural networks based on least squares estimation,” Neural Networks 13, 463-484 (2000).
[CrossRef] [PubMed]

Rosier, B.

P. Simoneau, K. Caillault, S. Fauqueux, T. Huet, L. Labarre, C. Malherbe, and B. Rosier, “MATISSE-v1.5 and MATISSE-v2.0: new developments and comparison with MIRAMER measurements,” Proc. SPIE 7300, 73000L (2009).
[CrossRef]

Rothman, L.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Schult, I.

P. Koepke, M. Hess, I. Schult, and E. P. Shettle, “Global Aerosol Dataset GADS,” Report 243 (Max-Planck-Institut für Meteorologie, Hamburg, 1997).

Seber, G. A. F.

G. A. F. Seber, Linear Regression Analysis (Wiley, 1977).

Shettle, E. P.

P. Koepke, M. Hess, I. Schult, and E. P. Shettle, “Global Aerosol Dataset GADS,” Report 243 (Max-Planck-Institut für Meteorologie, Hamburg, 1997).

A. Berk, G. P. Anderson, P. K. Acharya, J. H. Chetwynd, L. S. Bernstein, E. P. Shettle, M. W. Matthew, and S. M. Adler-Golden, MODTRAN4 User's Manual (Air Force Research Laboratory, Space Vehicles Directorate, Air Force Materiel Command, Hanscom AFB, MA 01731-3010, 1999), p. 7.

Simoneau, P.

P. Simoneau, K. Caillault, S. Fauqueux, T. Huet, L. Labarre, C. Malherbe, and B. Rosier, “MATISSE-v1.5 and MATISSE-v2.0: new developments and comparison with MIRAMER measurements,” Proc. SPIE 7300, 73000L (2009).
[CrossRef]

Smith, M. A. H.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Sontag, E. D.

E. D. Sontag, “Neural networks for control,” in Essays on Control: Perspectives in the Theory and its Applications, H. L. Trentelman and J. C. Willems, eds. (Birkhäuser, 1993), pp. 339-380.

Tennyson, J.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Tolchenov, R. N.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Toth, R. A.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Vander Auwera, J.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Varanasi, P.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Wagner, G.

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Int. J. Control (1)

S. Chen, A. Billings, and W. Luo, “Orthogonal least-squares methods and their application to non-linear system identification,” Int. J. Control 50, 1873-1896 (1989).
[CrossRef]

J. Atmos. Sci. (1)

Q. Fu and K. N. Liou, “On the correlated k-distribution method for radiative transfer in nonhomogeneous atmospheres,” J. Atmos. Sci. 49, 2139-2156 (1992).
[CrossRef]

J. Geophys. Res. (1)

A. A. Lacis and V. Oinas, “A description of the correlated k distribution method for modeling nongray gaseous absorption, thermal emission, and multiple scattering in vertically inhomogeneous atmospheres,” J. Geophys. Res. 96, 9027-9063 (1991).
[CrossRef]

J. Mach. Learn. Res. (1)

I. Rivals and L. Personnaz, “MLPs (mono-layer polynomial and multi-layer perceptrons) for nonlinear modeling,” J. Mach. Learn. Res. 3, 1383-1398 (2003).
[CrossRef]

J. Quant. Spectrosc. Radiat. Transfer (2)

L. Ibgui and J. Hartmann, “An optimized line by line code for plume signature calculations--I: model and data,” J. Quant. Spectrosc. Radiat. Transfer 75, 273-295 (2002).
[CrossRef]

L. Rothman, D. Jacquemart, A. Barbe, D. Benner, M. Birk, L. Brown, M. R. Carleer, C. Chackerian Jr., K. Chance, L. H. Coudert, V. Dana, V. M. Devi, J.-M. Flaud, R. R. Gamache, A. Goldman, J.-M. Hartmann, K. W. Jucks, A. G. Maki, J.-Y. Mandin, S. T. Massie, J. Orphal, A. Perrin, C. P. Rinsland, M. A. H. Smith, J. Tennyson, R. N. Tolchenov, R. A. Toth, J. Vander Auwera, P. Varanasi, and G. Wagner, “The HITRAN 2004 molecular spectroscopic database,” J. Quant. Spectrosc. Radiat. Transfer 96, 139-204 (2005).
[CrossRef]

Neural Networks (1)

I. Rivals and L. Personnaz, “Construction of confidence intervals for neural networks based on least squares estimation,” Neural Networks 13, 463-484 (2000).
[CrossRef] [PubMed]

Proc. SPIE (1)

P. Simoneau, K. Caillault, S. Fauqueux, T. Huet, L. Labarre, C. Malherbe, and B. Rosier, “MATISSE-v1.5 and MATISSE-v2.0: new developments and comparison with MIRAMER measurements,” Proc. SPIE 7300, 73000L (2009).
[CrossRef]

WSEAS Trans. Syst. Control (1)

G. Li, Z. Lu, G. Guo, and K. Huang, “3D atmospheric modeling based on Modtran4,” WSEAS Trans. Syst. Control 3, 483-492(2008).

Other (7)

P. Koepke, M. Hess, I. Schult, and E. P. Shettle, “Global Aerosol Dataset GADS,” Report 243 (Max-Planck-Institut für Meteorologie, Hamburg, 1997).

F. Karcher, “Détermination des profils atmosphériques de référence pour la mesure de constituants par spectroscopie d'absorption,” Programmes prfl et rmel, Notes Internes CNRM (1990).

A. Berk, G. P. Anderson, P. K. Acharya, J. H. Chetwynd, L. S. Bernstein, E. P. Shettle, M. W. Matthew, and S. M. Adler-Golden, MODTRAN4 User's Manual (Air Force Research Laboratory, Space Vehicles Directorate, Air Force Materiel Command, Hanscom AFB, MA 01731-3010, 1999), p. 7.

R. Fletcher, Practical Methods of Optimization (Wiley, 1987).

A. R. Barron, “Neural net approximation,” in Proceedings of Seventh Yale Workshop on Adaptive and Learning Systems (Yale University, 1992), pp. 69-72.

E. D. Sontag, “Neural networks for control,” in Essays on Control: Perspectives in the Theory and its Applications, H. L. Trentelman and J. C. Willems, eds. (Birkhäuser, 1993), pp. 339-380.

G. A. F. Seber, Linear Regression Analysis (Wiley, 1977).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (8)

Fig. 1
Fig. 1

The dependency of the absorption coefficient k on the wavenumber σ (left) can be replaced by the cumulated frequencies of the k values (right). The CK i coefficients are the values of the absorption coefficient for specified values g i of the occurrence ratio.

Fig. 2
Fig. 2

A profile is a column above a given point on Earth at a given time. In the database, it is represented at discrete levels of the pressure, which determine a set of altitudes. The thermodynamic representation includes, at each altitude, the value of the temperature T and of the molecular mixing ratios vector X. The optical representation includes, at the same altitudes, the CK i values ( i = 1 , , 17 ) for each wavenumber σ. The database climato contains 4672 profiles.

Fig. 3
Fig. 3

General scheme of the modeling procedure.

Fig. 4
Fig. 4

Neural network with one hidden layer.

Fig. 5
Fig. 5

Histograms of the root mean square relative errors (left) and of the maximum relative errors (right) of the nontrivial models, on the validation set.

Fig. 6
Fig. 6

Histograms of the root mean square relative errors (left) and of the maximum relative errors (right) of the nontrivial models, on the test set.

Fig. 7
Fig. 7

Histogram of the relative errors of the 62,749 nontrivial models on the 1557 test profiles. The left scale shows that the high values very seldom do, but can reach 400%, while the right scale shows that most values (99.5% of them) are smaller than 20%.

Fig. 8
Fig. 8

Histogram of the numbers of monomials for the 62,602 polynomial models (left), and of the hidden layer sizes for the 147 neural models (right). The number of monomials has a mean of 2.4 and runs from 1 up to 50. The hidden layer size runs from 4 up to 10 with a mean value of 6.

Tables (2)

Tables Icon

Table 1 Performance Measures

Tables Icon

Table 2 Model Structures and Performance

Equations (11)

Equations on this page are rendered with MathJax. Learn more.

V ¯ Δ σ = 1 Δ σ Δ σ V ( k ( σ ) ) d σ = 0 1 V ( k ( g ) ) d g ,
C K i = k ( g i ) ,
V ¯ Δ σ = 0 1 V ( k ( g ) ) d g i = 1 N w i V ( CK i ) .
CK i = CK i ( σ 0 , P , T , X 1 , ... , X M ) .
L ¯ o b s Δ σ ( θ , φ ) = i = 1 N w i L S i ( θ , φ ) exp ( s 0 obs k i ext ( s ) d s ) + i = 1 N w i s 0 obs w i exp ( s obs k i ext ( s ) d s ) J i ( s , θ , φ ) k i ext ( s ) d s ,
( T h , X h ) CK i , h σ
θ ls = argmin θ ex [ y ( ex ) f ( x ( ex ) , θ ) ) ] 2 .
[ E ( e x ) = CK model ( e x ) CK real ( e x ) R E ( e x ) = CK model ( e x ) CK real ( e x ) CK real ( e x ) .
f k ( x , θ ) = θ 0 + i k θ i φ i ( x ) .
[ Potential : V i = w i 0 + j w i j x j Output : O i = tanh ( V 1 ) ,
O = w 0 + i w i O i ,

Metrics