A Method of Determining Detection Threshold for Bayesian Track-before-detection in White Complex Gaussian Noise

2014 ◽  
Vol 35 (3) ◽  
pp. 524-531
Author(s):  
Shuang-zhi Xia ◽  
Feng-zhou Dai ◽  
Hong-wei Liu
2012 ◽  
Vol 29 (3) ◽  
pp. 214-220 ◽  
Author(s):  
Samuel J. George ◽  
Jeroen M. Stil ◽  
Ben W. Keller

AbstractDetection thresholds in polarized intensity and polarization bias correction are investigated for surveys where the polarization information is obtained from rotation measure (RM) synthesis. Considering unresolved sources with a single RM, a detection threshold of 8 σQU applied to the Faraday spectrum will retrieve the RM with a false detection rate less than 10−4, but polarized intensity is more strongly biased than Ricean statistics suggest. For a detection threshold of 5 σQU, the false detection rate increases to ∼4%, depending also on λ2 coverage and the extent of the Faraday spectrum. Non-Gaussian noise in Stokes Q and U due to imperfect imaging and calibration can be represented by a distribution that is the sum of a Gaussian and an exponential. The non-Gaussian wings of the noise distribution increase the false detection rate in polarized intensity by orders of magnitude. Monte Carlo simulations assuming non-Gaussian noise in Q and U give false detection rates at 8 σQU similar to Ricean false detection rates at 4.9 σQU.


1968 ◽  
Vol 73 (3, Pt.1) ◽  
pp. 268-272 ◽  
Author(s):  
Robert D. Hare

Author(s):  
Sayed Jalal ZAHABI ◽  
Mohammadali KHOSRAVIFARD ◽  
Ali A. TADAION ◽  
T. Aaron GULLIVER

1998 ◽  
Vol 52 (1) ◽  
pp. 24-31
Author(s):  
A. V. Omel'chenko ◽  
A. A. Shapiro ◽  
F. V. Kivva
Keyword(s):  

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