Joint Probability Distributions for Detection of an Ideal Scalar Magnetic Targe in Ambient Fluctuations


  1. Daya, Z.A.
  2. Holtham, P.M.
Corporate Authors
Defence R&D Canada - Atlantic, Dartmouth NS (CAN)
Ideal scalar magnetic targets, modelled as dipoles moving at constant velocity, span a two-dimensional parameter space. We divide this strength and speed parameter space into four zones, each corresponding to a hypothetical class of magnetic targets. Ideal targets, systematically chosen over a range of model parameters, are inserted into ambient Field measurements. The model parameters, which are proportional to the amplitude of the target signature and square of the target speed, are estimated from statistical moments of the time series data. A Monte Carlo approach is used to sample variations in the ambient magnetic noise. The extracted parameters are tested against detection criteria generating true-and false- detection joint probability distributions. The detected parameters differ from the modelled target parameters due to fluctuations in the ambient field. This difference is characterized by the mean and rms statistics of the fractional error between detected and modelled parameter values. We find that the target speed is rather poorly captured but that the amplitude of the target signature is quite accurate. The variation of the detected parameters about their mean values is 1 -10%. The mean error is used to compensate a measurement for the noise induced bias. The rms error is used to assign a confidence interval around a measurement. The conditional probability that a target detected with parameters within the confidence intervals is a member of each of the four targe

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Report Number
DRDC-ATLANTIC-TM-2005-236 — Technical Memorandum
Date of publication
01 Nov 2005
Number of Pages

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