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TABLE 6.1 Probability of Detection for Swerling Model Fluctuating Targets
with a Square-Law Detector
Figure 6.14 compares the detection performance of the four Swerling
model fluctuating targets and the nonfluctuating target for N = 10 samples as a
–8
function of the mean single-sample SNR for a fixed P = 10 . Assuming that
FA
the primary interest is in relatively high (> 0.5) values of P , the upper half of
D
the figure is of greatest interest. In this case, the nonfluctuating target is the most
favorable in the sense that it achieves a given probability of detection at the
lowest SNR. The worst case (highest required SNR for a given P ) is the
D
Swerling case 1, which corresponds to fully correlated samples and an
exponential PDF of the target RCS. For instance, P = 0.9 requires χ ≈ 6.1 dB
D
for the nonfluctuating case, but χ ≈ 14.5 dB for the Swerling 1 case, a difference
of 8.4 dB.

