A Method of Searching for Weak Radioactive Sources in the Background Using Bayesian Analysis
A technology of radioactive source and analysis model, applied in the field of weak signal identification and radiation measurement
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[0036] 1. Building a Bayesian model
[0037] The total count T measured by the detector is the sum of the source signal count S and the background count B, as shown in the following formula (1):
[0038] T=B+S(1).
[0039] Given a detector, in the source detection state ξ i The expected count rate μ of the source signal S in the lower detector is determined by the source intensity I and the distance r, let ξ i =I / r 2 , the following formula (2) is obtained:
[0040]
[0041] In the formula, A is the cross-sectional area of the detector; η e is the intrinsic detection efficiency of the detector; D is the intrinsic detection characteristic parameter of a given detector, which depends on the detection cross-sectional area and intrinsic detection efficiency.
[0042] The source signal count S obeys the probability density distribution P. When the source signal is weak and the background count is small, due to the influence of statistical fluctuations, the actual source ...
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