On Efficiency of Detection of Subpixel Targets with Hypothesis Dependent Structured Background Power

Sobre la eficiencia de detección de objetos subpixeleados con potencia de fondo estructurado que depende de hipótesis

Víctor Golikov, Olga Lebedeva, Manuel May Alarcón, Francisco Méndez Martínez, Marco Rodríguez Blanco, and Mayólo Salvador Islas Chuc

Facultad de Ingeniería, Universidad Autónoma del Carmen, Ciudad del Carmen, Campeche, México. vgolikov@pampano.unacar.mx, olebedeva@pampano.unacar.mx, mmay@pampano.unacar.mx, fmendez@pampano.unacar.mx

Article received on 18/03/2012
Accepted on 18/06/2013

Abstract

In this paper, matched detector (MD) and matched subspace detector (MSD) are studied when the structured background power is different under the null and the alternative hypotheses. The distributions of two test statistics are derived under these conditions. It has been analytically shown that these detectors can suffer a drastic degradation in performance for background power deviations under alternative hypothesis. We discuss the differences between the performances of these detectors in the case of the structured and unstructured backgrounds with uncorrelated Gaussian noise. The theoretical results are compared with simulated data and good agreement is reported. We present experimental results of small floating object detection on an agitated sea surface using spectral digital video experiments which validate the theoretical results.

Keywords: Hypothesis dependent power, subpixel targets, performance loss.

Resumen

El detector acoplado (MD) y el detector de subespacio acoplado (MSD) son estudiados cuando la potencia de fondo estructurado es diferente bajo las hipótesis alternativa y nula. Las distribuciones de las dos pruebas estadísticas son realizadas bajo las mismas condiciones. Ha sido analíticamente demostrado que esos dos detectores pueden sufrir una degradación drástica de su eficiencia para las desviaciones de la potencia de fondo bajo hipótesis alternativas. Se discuten las diferencias entre los rendimientos de esos detectores en el caso de fondos estructurados y no estructurados con ruido Gaussiano no correlacionado. Los resultados teóricos son comparados con los datos simulados y una buena concordancia es reportada. Se presentan resultados experimentales de la detección de objetos pequeños flotando en la superficie agitada del mar, usando el experimento del video digital espectral, que demuestra la validación de los resultados teóricos.

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Acknowledgements

This work has been funded by CONACYT (project number 80994).

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