2005
DOI: 10.1109/tsp.2004.842196
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A CFAR adaptive subspace detector for second-order Gaussian signals

Abstract: In this paper we study the problem of detecting subspace signals described by the Second Order Gaussian (SOG) model in the presence of noise whose covariance structure and level are both unknown. Such a detection problem is often called Gauss-Gauss problem in that both the signal and the noise are assumed to have Gaussian distributions. We propose adaptive detectors for the SOG model signals based on a single observation and multiple observations. With a single observation, the detector can be derived in a man… Show more

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Cited by 59 publications
(2 citation statements)
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“…As seen in figure 2, under same signal-to-noise ratio condition, the highest total detection probability is 5/8 detection, while the lowest total detection probability is 2/3 detection. As seen in figure 1, to guarantee the request of total false alarm probability smaller than 10 -6 and total detection probability bigger than 0.9, signal-to-noise ratio of single detection required by 2/3, 3/5, 5/8 detection should bigger than 10.27dB, 8.65dB and 7.1ldB separately [1,3,4].…”
Section: Total Detection Probability and Total False Alarm Probabilit...mentioning
confidence: 99%
“…As seen in figure 2, under same signal-to-noise ratio condition, the highest total detection probability is 5/8 detection, while the lowest total detection probability is 2/3 detection. As seen in figure 1, to guarantee the request of total false alarm probability smaller than 10 -6 and total detection probability bigger than 0.9, signal-to-noise ratio of single detection required by 2/3, 3/5, 5/8 detection should bigger than 10.27dB, 8.65dB and 7.1ldB separately [1,3,4].…”
Section: Total Detection Probability and Total False Alarm Probabilit...mentioning
confidence: 99%
“…In this paper, the FOG model for amplitudes of reflection scatterers of the extended target, which is a deterministic but unknown vector, is adopted to realise the extended target detection. For the SOG, Jin (Jin & Friedlander, 2005) derives a closed-form expression of the approximate distribution function of the detection statistic for the false alarm rate and detection probability. However, a set of the secondary data is needed to estimate the noise covariance for those subspace detector, which is supposed to be the same as for the primary data.…”
Section: Introductionmentioning
confidence: 99%