Optimum second threshold for the CFAR binary integrator in Pearson-distributed clutter
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In this paper, we propose to analyze the binary integration of the cell-averaging constant false-alarm rate (CA-CFAR) and order statistics constant false-alarm rate (OS-CFAR) detectors in the presence of non-Gaussian spiky clutter modeled as a Pearson distribution. We derive new closed form expressions for false alarm and detection probabilities for the CA-CFAR detector in the presence of Pearson-distributed clutter backgrounds. We first show that the use of binary integration improves the detection probabilities of the detectors considered. Secondly, the maximum of detection probability occurs for an optimum choice when the second threshold is set to be equal to M = (3/4) L. For this optimum M-out-of-L rule, the comparison analysis of the CA-CFAR and OS-CFAR binary integrators showed that the latter has better performance in homogeneous Pearson- distributed clutter.
KeywordsCFAR detection Pearson distribution Optimum binary integration
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- 1.Finn H.M., Johnson R.S.: Adaptive detection mode with threshold control as function of spatially sampled clutter level estimates. RCA Rev. 29, 414–463 (1968)Google Scholar
- 7.Watts S.: Radar detection prediction in sea clutter using the compound K-distribution model. IEE Proc., Part F 132, 613–620 (1985)Google Scholar
- 8.Pierce, R.D.: RCS characterisation using the alpha-stable distribution. In: Proceedings of the IEEE national Radar Conference, pp. 154–159 (1996)Google Scholar
- 9.Pierce, R. D.: Application of the positive alpha-stable distribution. In: IEEE Signal Processing Workshop on Higher-Order Statistics, pp. 420–424. Banff, Alberta, Canada (1997)Google Scholar
- 11.Kuruoglu, E.E.: Analytical representation for positive alpha stable densities. In: Proceedings of the IEEE International Conference in Acoustics, Speech and Signal Processing, vol. 6, pp. 729–773 (2003)Google Scholar
- 14.Prudnikov A.P., Brychkov Y.A., Marichev O.I.: Integrals and Series, Volume 1: Elementary Functions. Gordon and Breach science publishers, New York (1986)Google Scholar