Abstract

An approach for point target detection in the presence of speckle fluctuations with nonhomogeneous backgrounds is proposed. This approach is based on an automatic selection between the standard constant background model and a quadratic model for the logarithm of the background values. An improvement of the regulation of the false alarm probability in nonhomogeneous backgrounds is demonstrated.

© 2008 Optical Society of America

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References

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  1. G. Stimson, Introduction to Airborne Radar, 2nd ed. (Scitech, 1998).
  2. H. Van Trees, Detection, Estimation, and Modulation Theory-Part I. Detection, Estimation, and Linear Modulation Theory (Wiley-Interscience, 2001).
    [CrossRef]
  3. H. Finn and P. Johnson, Inorg. Chim. Acta 29, 414 (1968).
  4. P. Gandhi and S. Kassam, IEEE Trans. Inf. Theory 40, 1226 (1994).
    [CrossRef]
  5. E. Lehmann, Testing Statistical Hypotheses (Wiley, 1959).
  6. P. Gandhi and S. Kassam, IEEE Trans. Aerosp. Electron. Syst. 24, 427 (1988).
    [CrossRef]
  7. M. Evans, N. Hastings, and B. Peacock, Statistical Distributions, 3rd ed. (Wiley, 2000).
  8. C. Alberola-López, J. Casar-Corredera, and G. de Miguel-Vela, IEE Proc. Vision Image Signal Process. 146, 130 (1999).
    [CrossRef]
  9. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, 1980).
  10. A. Papoulis, Probability, Random Variables, and Stochastic Processes-Third Edition (WCB McGraw-Hill1991).
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    [CrossRef] [PubMed]
  13. P. Dubois-Fernandez, O. du Plessis, D. le Coz, J. DupasB. Vaizan, X. Dupuis, H. Cantalloube, C. Coulombeix, C. Titin-Schnaider, P. Dreuillet, J. M. Boutry, J. P. Canny, L. Kaisersmertz, J. Peyret, P. Martineau, M. Chanteclerc, L. Pastore, and J. P. Bruyant, in Proceedings of the IEEE International Conference and Remote Sensing Symposium (IEEE, 2002).
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    [CrossRef]

2007

1999

C. Alberola-López, J. Casar-Corredera, and G. de Miguel-Vela, IEE Proc. Vision Image Signal Process. 146, 130 (1999).
[CrossRef]

1994

P. Gandhi and S. Kassam, IEEE Trans. Inf. Theory 40, 1226 (1994).
[CrossRef]

1988

P. Gandhi and S. Kassam, IEEE Trans. Aerosp. Electron. Syst. 24, 427 (1988).
[CrossRef]

1983

H. Rohling, IEEE Trans. Aerosp. Electron. Syst. 19, 608 (1983).
[CrossRef]

1968

H. Finn and P. Johnson, Inorg. Chim. Acta 29, 414 (1968).

Alberola-López, C.

C. Alberola-López, J. Casar-Corredera, and G. de Miguel-Vela, IEE Proc. Vision Image Signal Process. 146, 130 (1999).
[CrossRef]

Boutry, J. M.

P. Dubois-Fernandez, O. du Plessis, D. le Coz, J. DupasB. Vaizan, X. Dupuis, H. Cantalloube, C. Coulombeix, C. Titin-Schnaider, P. Dreuillet, J. M. Boutry, J. P. Canny, L. Kaisersmertz, J. Peyret, P. Martineau, M. Chanteclerc, L. Pastore, and J. P. Bruyant, in Proceedings of the IEEE International Conference and Remote Sensing Symposium (IEEE, 2002).

Bruyant, J. P.

P. Dubois-Fernandez, O. du Plessis, D. le Coz, J. DupasB. Vaizan, X. Dupuis, H. Cantalloube, C. Coulombeix, C. Titin-Schnaider, P. Dreuillet, J. M. Boutry, J. P. Canny, L. Kaisersmertz, J. Peyret, P. Martineau, M. Chanteclerc, L. Pastore, and J. P. Bruyant, in Proceedings of the IEEE International Conference and Remote Sensing Symposium (IEEE, 2002).

Canny, J. P.

P. Dubois-Fernandez, O. du Plessis, D. le Coz, J. DupasB. Vaizan, X. Dupuis, H. Cantalloube, C. Coulombeix, C. Titin-Schnaider, P. Dreuillet, J. M. Boutry, J. P. Canny, L. Kaisersmertz, J. Peyret, P. Martineau, M. Chanteclerc, L. Pastore, and J. P. Bruyant, in Proceedings of the IEEE International Conference and Remote Sensing Symposium (IEEE, 2002).

Cantalloube, H.

P. Dubois-Fernandez, O. du Plessis, D. le Coz, J. DupasB. Vaizan, X. Dupuis, H. Cantalloube, C. Coulombeix, C. Titin-Schnaider, P. Dreuillet, J. M. Boutry, J. P. Canny, L. Kaisersmertz, J. Peyret, P. Martineau, M. Chanteclerc, L. Pastore, and J. P. Bruyant, in Proceedings of the IEEE International Conference and Remote Sensing Symposium (IEEE, 2002).

Casar-Corredera, J.

C. Alberola-López, J. Casar-Corredera, and G. de Miguel-Vela, IEE Proc. Vision Image Signal Process. 146, 130 (1999).
[CrossRef]

Chanteclerc, M.

P. Dubois-Fernandez, O. du Plessis, D. le Coz, J. DupasB. Vaizan, X. Dupuis, H. Cantalloube, C. Coulombeix, C. Titin-Schnaider, P. Dreuillet, J. M. Boutry, J. P. Canny, L. Kaisersmertz, J. Peyret, P. Martineau, M. Chanteclerc, L. Pastore, and J. P. Bruyant, in Proceedings of the IEEE International Conference and Remote Sensing Symposium (IEEE, 2002).

Coulombeix, C.

P. Dubois-Fernandez, O. du Plessis, D. le Coz, J. DupasB. Vaizan, X. Dupuis, H. Cantalloube, C. Coulombeix, C. Titin-Schnaider, P. Dreuillet, J. M. Boutry, J. P. Canny, L. Kaisersmertz, J. Peyret, P. Martineau, M. Chanteclerc, L. Pastore, and J. P. Bruyant, in Proceedings of the IEEE International Conference and Remote Sensing Symposium (IEEE, 2002).

de Miguel-Vela, G.

C. Alberola-López, J. Casar-Corredera, and G. de Miguel-Vela, IEE Proc. Vision Image Signal Process. 146, 130 (1999).
[CrossRef]

Dreuillet, P.

P. Dubois-Fernandez, O. du Plessis, D. le Coz, J. DupasB. Vaizan, X. Dupuis, H. Cantalloube, C. Coulombeix, C. Titin-Schnaider, P. Dreuillet, J. M. Boutry, J. P. Canny, L. Kaisersmertz, J. Peyret, P. Martineau, M. Chanteclerc, L. Pastore, and J. P. Bruyant, in Proceedings of the IEEE International Conference and Remote Sensing Symposium (IEEE, 2002).

du Plessis, O.

P. Dubois-Fernandez, O. du Plessis, D. le Coz, J. DupasB. Vaizan, X. Dupuis, H. Cantalloube, C. Coulombeix, C. Titin-Schnaider, P. Dreuillet, J. M. Boutry, J. P. Canny, L. Kaisersmertz, J. Peyret, P. Martineau, M. Chanteclerc, L. Pastore, and J. P. Bruyant, in Proceedings of the IEEE International Conference and Remote Sensing Symposium (IEEE, 2002).

Dubois-Fernandez, P.

P. Dubois-Fernandez, O. du Plessis, D. le Coz, J. DupasB. Vaizan, X. Dupuis, H. Cantalloube, C. Coulombeix, C. Titin-Schnaider, P. Dreuillet, J. M. Boutry, J. P. Canny, L. Kaisersmertz, J. Peyret, P. Martineau, M. Chanteclerc, L. Pastore, and J. P. Bruyant, in Proceedings of the IEEE International Conference and Remote Sensing Symposium (IEEE, 2002).

Dupas, J.

P. Dubois-Fernandez, O. du Plessis, D. le Coz, J. DupasB. Vaizan, X. Dupuis, H. Cantalloube, C. Coulombeix, C. Titin-Schnaider, P. Dreuillet, J. M. Boutry, J. P. Canny, L. Kaisersmertz, J. Peyret, P. Martineau, M. Chanteclerc, L. Pastore, and J. P. Bruyant, in Proceedings of the IEEE International Conference and Remote Sensing Symposium (IEEE, 2002).

Dupuis, X.

P. Dubois-Fernandez, O. du Plessis, D. le Coz, J. DupasB. Vaizan, X. Dupuis, H. Cantalloube, C. Coulombeix, C. Titin-Schnaider, P. Dreuillet, J. M. Boutry, J. P. Canny, L. Kaisersmertz, J. Peyret, P. Martineau, M. Chanteclerc, L. Pastore, and J. P. Bruyant, in Proceedings of the IEEE International Conference and Remote Sensing Symposium (IEEE, 2002).

Evans, M.

M. Evans, N. Hastings, and B. Peacock, Statistical Distributions, 3rd ed. (Wiley, 2000).

Finn, H.

H. Finn and P. Johnson, Inorg. Chim. Acta 29, 414 (1968).

Galland, F.

Gandhi, P.

P. Gandhi and S. Kassam, IEEE Trans. Inf. Theory 40, 1226 (1994).
[CrossRef]

P. Gandhi and S. Kassam, IEEE Trans. Aerosp. Electron. Syst. 24, 427 (1988).
[CrossRef]

Gradshteyn, I. S.

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, 1980).

Hastings, N.

M. Evans, N. Hastings, and B. Peacock, Statistical Distributions, 3rd ed. (Wiley, 2000).

Johnson, P.

H. Finn and P. Johnson, Inorg. Chim. Acta 29, 414 (1968).

Kaisersmertz, L.

P. Dubois-Fernandez, O. du Plessis, D. le Coz, J. DupasB. Vaizan, X. Dupuis, H. Cantalloube, C. Coulombeix, C. Titin-Schnaider, P. Dreuillet, J. M. Boutry, J. P. Canny, L. Kaisersmertz, J. Peyret, P. Martineau, M. Chanteclerc, L. Pastore, and J. P. Bruyant, in Proceedings of the IEEE International Conference and Remote Sensing Symposium (IEEE, 2002).

Kassam, S.

P. Gandhi and S. Kassam, IEEE Trans. Inf. Theory 40, 1226 (1994).
[CrossRef]

P. Gandhi and S. Kassam, IEEE Trans. Aerosp. Electron. Syst. 24, 427 (1988).
[CrossRef]

le Coz, D.

P. Dubois-Fernandez, O. du Plessis, D. le Coz, J. DupasB. Vaizan, X. Dupuis, H. Cantalloube, C. Coulombeix, C. Titin-Schnaider, P. Dreuillet, J. M. Boutry, J. P. Canny, L. Kaisersmertz, J. Peyret, P. Martineau, M. Chanteclerc, L. Pastore, and J. P. Bruyant, in Proceedings of the IEEE International Conference and Remote Sensing Symposium (IEEE, 2002).

Lehmann, E.

E. Lehmann, Testing Statistical Hypotheses (Wiley, 1959).

Martineau, P.

P. Dubois-Fernandez, O. du Plessis, D. le Coz, J. DupasB. Vaizan, X. Dupuis, H. Cantalloube, C. Coulombeix, C. Titin-Schnaider, P. Dreuillet, J. M. Boutry, J. P. Canny, L. Kaisersmertz, J. Peyret, P. Martineau, M. Chanteclerc, L. Pastore, and J. P. Bruyant, in Proceedings of the IEEE International Conference and Remote Sensing Symposium (IEEE, 2002).

Papoulis, A.

A. Papoulis, Probability, Random Variables, and Stochastic Processes-Third Edition (WCB McGraw-Hill1991).

Pastore, L.

P. Dubois-Fernandez, O. du Plessis, D. le Coz, J. DupasB. Vaizan, X. Dupuis, H. Cantalloube, C. Coulombeix, C. Titin-Schnaider, P. Dreuillet, J. M. Boutry, J. P. Canny, L. Kaisersmertz, J. Peyret, P. Martineau, M. Chanteclerc, L. Pastore, and J. P. Bruyant, in Proceedings of the IEEE International Conference and Remote Sensing Symposium (IEEE, 2002).

Peacock, B.

M. Evans, N. Hastings, and B. Peacock, Statistical Distributions, 3rd ed. (Wiley, 2000).

Peyret, J.

P. Dubois-Fernandez, O. du Plessis, D. le Coz, J. DupasB. Vaizan, X. Dupuis, H. Cantalloube, C. Coulombeix, C. Titin-Schnaider, P. Dreuillet, J. M. Boutry, J. P. Canny, L. Kaisersmertz, J. Peyret, P. Martineau, M. Chanteclerc, L. Pastore, and J. P. Bruyant, in Proceedings of the IEEE International Conference and Remote Sensing Symposium (IEEE, 2002).

Réfrégier, P.

Rissanen, J.

J. Rissanen, Stochastic Complexity in Statistical Inquiry, Vol. 15 of Series in Computer Science (World Scientific, 1989).

Rohling, H.

H. Rohling, IEEE Trans. Aerosp. Electron. Syst. 19, 608 (1983).
[CrossRef]

Ryzhik, I. M.

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, 1980).

Stimson, G.

G. Stimson, Introduction to Airborne Radar, 2nd ed. (Scitech, 1998).

Titin-Schnaider, C.

P. Dubois-Fernandez, O. du Plessis, D. le Coz, J. DupasB. Vaizan, X. Dupuis, H. Cantalloube, C. Coulombeix, C. Titin-Schnaider, P. Dreuillet, J. M. Boutry, J. P. Canny, L. Kaisersmertz, J. Peyret, P. Martineau, M. Chanteclerc, L. Pastore, and J. P. Bruyant, in Proceedings of the IEEE International Conference and Remote Sensing Symposium (IEEE, 2002).

Vaizan, B.

P. Dubois-Fernandez, O. du Plessis, D. le Coz, J. DupasB. Vaizan, X. Dupuis, H. Cantalloube, C. Coulombeix, C. Titin-Schnaider, P. Dreuillet, J. M. Boutry, J. P. Canny, L. Kaisersmertz, J. Peyret, P. Martineau, M. Chanteclerc, L. Pastore, and J. P. Bruyant, in Proceedings of the IEEE International Conference and Remote Sensing Symposium (IEEE, 2002).

Van Trees, H.

H. Van Trees, Detection, Estimation, and Modulation Theory-Part I. Detection, Estimation, and Linear Modulation Theory (Wiley-Interscience, 2001).
[CrossRef]

IEE Proc. Vision Image Signal Process.

C. Alberola-López, J. Casar-Corredera, and G. de Miguel-Vela, IEE Proc. Vision Image Signal Process. 146, 130 (1999).
[CrossRef]

IEEE Trans. Aerosp. Electron. Syst.

P. Gandhi and S. Kassam, IEEE Trans. Aerosp. Electron. Syst. 24, 427 (1988).
[CrossRef]

H. Rohling, IEEE Trans. Aerosp. Electron. Syst. 19, 608 (1983).
[CrossRef]

IEEE Trans. Inf. Theory

P. Gandhi and S. Kassam, IEEE Trans. Inf. Theory 40, 1226 (1994).
[CrossRef]

Inorg. Chim. Acta

H. Finn and P. Johnson, Inorg. Chim. Acta 29, 414 (1968).

Opt. Lett.

Other

P. Dubois-Fernandez, O. du Plessis, D. le Coz, J. DupasB. Vaizan, X. Dupuis, H. Cantalloube, C. Coulombeix, C. Titin-Schnaider, P. Dreuillet, J. M. Boutry, J. P. Canny, L. Kaisersmertz, J. Peyret, P. Martineau, M. Chanteclerc, L. Pastore, and J. P. Bruyant, in Proceedings of the IEEE International Conference and Remote Sensing Symposium (IEEE, 2002).

M. Evans, N. Hastings, and B. Peacock, Statistical Distributions, 3rd ed. (Wiley, 2000).

E. Lehmann, Testing Statistical Hypotheses (Wiley, 1959).

G. Stimson, Introduction to Airborne Radar, 2nd ed. (Scitech, 1998).

H. Van Trees, Detection, Estimation, and Modulation Theory-Part I. Detection, Estimation, and Linear Modulation Theory (Wiley-Interscience, 2001).
[CrossRef]

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, 1980).

A. Papoulis, Probability, Random Variables, and Stochastic Processes-Third Edition (WCB McGraw-Hill1991).

J. Rissanen, Stochastic Complexity in Statistical Inquiry, Vol. 15 of Series in Computer Science (World Scientific, 1989).

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Figures (2)

Fig. 1
Fig. 1

Illustration of the behavior of the detection probability (upper curve) and of the false-alarm probability (lower curve) as a function of the parameter A that characterizes the local curvature. The results of the CA-CFAR, the LQ-CFAR, and ALQ detectors demonstrate the good trade-off between high detection probability and false-alarm regulation obtained with the ALQ detector.

Fig. 2
Fig. 2

Left, extract of a real ONERA RAMSES SAR image [13]. Right, illustration of the ability of the ALQ detector to select an appropriate model between the constant background model (in black) and the quadratic background model (in white).

Equations (2)

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

f m ̂ n , ω n LQ ( z ) = 1 z ς n , ω n 2 π exp [ ( log ( z m n ) + 1 2 ς n , ω n 2 ) 2 2 ς n , ω n 2 ] .
Δ D ( U , ω n ) = N n log ( Γ ( L ) L L ) + L k ω n log ( m ̂ k , ω n U ) ( L 1 ) k ω n log ( x k ) + L k ω n x k m ̂ k , ω n U .

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