Modeling imprecise detection parameters as fuzzy numbers for a Rician target in Rayleigh background

The performance of a radar detector may become inaccurate when key parameters of the system are imprecise. Imprecise parameters are modeled here as fuzzy numbers. The fuzzy integrator detector is constructed for a Rician target in Rayleigh background. Results indicate that the precision of the detection performance decreases as parameter imprecision increases. The false alarm rate is particularly sensitive to parameter imprecision at low false alarm rate; 5% imprecision in the parameters can give rise to more than 300% imprecision in the false alarm rate at nominal false alarm rates below 10^-5