Abstract

A novel “Bernoulli experiment model” of constant false alarm rate (CFAR) is presented in order to analyze CFAR performance in jamming condition. In this model, target detection can be treated as a sequence of independent subevents, and the detection process equals to pick up target energy from an energy pool diluted with noise, interference, and jamming pulses. In a multiple-jammer case, each jammer contributes independently, and the content of the energy pool only relates to the corresponding jammer. Impacts of jammer factors, such as signal-to-interference ratio (SIR), jamming-to-interference ratio (JIR), the number of false targets in reference cells, and the number of false targets in a cell under test (CUT), are analyzed and compared in detail, and two jamming operation principles are deduced as an application. The deduction procedure and conclusions drawn from the model can also be utilized on similar occasions.

Highlights

  • Thresholds will track the changes of interference automatically, and the false alarm rate will be maintained to a constant value. e traditional constant false alarm rate (CFAR) scheme is cell-average (CA-) CFAR, where the estimation is based on the mean value of all reference cells

  • All of the above schemes concentrate on the cell selecting strategies, but the basic models and fundamental computations are like CA-CFAR

  • Conclusion is paper presents a Bernoulli experiment model to quantitatively describe CFAR performance under the jamming condition. e detection process is modeled as a Bernoulli experiment with a success probability that has a clear physical essence from energy perspective

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Summary

Mathematical Problems in Engineering

Compared to the deep research on CFAR techniques, CFAR performance in complex electromagnetic environment, especially in jamming conditions, is not frequently discussed. (2) BEM is more generalized and widely applicable, and can be transformed into several special cases, where models in reference [4, 16, 17] are only one of them. It has a clear physical meaning, where the detection process can be seen as a sequence of Bernoulli experiments to pick the desired energy from the energy pool. Assuming that N reference cells are selected according to specific strategy and each has the same probability density as equation (1), the joint PDF of interference power is the product of each PDF, thereby

Expected PFA
PDF interference power in
Energy pool
Jammer S
Since the fact that
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