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Applied Optics

Applied Optics


  • Vol. 13, Iss. 5 — May. 1, 1974
  • pp: 1238–1247

Bivariate Distribution, Correlation, and Transformation Properties of Two-Color Infrared Systems

Richard Clow and Frank McNolty  »View Author Affiliations

Applied Optics, Vol. 13, Issue 5, pp. 1238-1247 (1974)

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A two-dimensional (two-color) statistical structure is formulated that is applicable to pattern recognition, discrimination, and detection problems occurring in infrared signal-processing systems. The methodology relates physical quantities such as the temperature T of an object, its projected area A, emissivity , range R from the sensor, and noise equivalent flux density (NEFD) to the geometry of a local orthogonal coordinate system where the coordinate axes correspond to the apparent radiant intensity J in each micron bandwidth. The bivariate distribution, correlation, and transformation properties attendant to this framework are discussed in detail. Additional insight into the structure of the problem is achieved by investigating the two-color system in terms of a nonorthogonal local coordinate system. The various results presented in the paper may be extended to three-, four-, or five-color systems by direct analogies.

© 1974 Optical Society of America

Original Manuscript: August 6, 1973
Published: May 1, 1974

Richard Clow and Frank McNolty, "Bivariate Distribution, Correlation, and Transformation Properties of Two-Color Infrared Systems," Appl. Opt. 13, 1238-1247 (1974)

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  1. T. W. Anderson, An Introduction to Multivariate Statistical Analysis (New York, Wiley, 1958).
  2. K. Fukunaga, Introduction to Statistical Pattern Recognition (New York, Academic Press, 1972).
  3. C. R. Rao, Linear Statistical Inference and Its Application (New York, Wiley, 1965).
  4. G. S. Sebestyen, Decision Making Processes in Pattern Recognition (New York, Macmillan Co., 1962).
  5. H. Solomon, Studies in Item Analysis and Prediction (Stanford, California, Stanford University Press, 1961).
  6. R. Clow, E. Hansen, F. McNolty, submitted for publication 1973.
  7. R. Clow, E. Hansen, F. McNolty, IEEE Trans. Aerospace Electron. Syst. AES-8(4), 428 (July1972). [CrossRef]
  8. R. Clow, E. Hansen, F. McNolty, IEEE Trans. Aerospace Electron. Syst. AES-8(4), 552 (July1972). [CrossRef]
  9. R. Clow, E. Hansen, F. McNolty, Proc. IEEE 62, No. 4 (April1974). [CrossRef]
  10. J. A. Jamieson, R. H. McFee, G. N. Plass, R. H. Grube, R. G. Richards, Infrared Physics and Engineering (New York, McGraw-Hill, 1963).

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