Page 451 - Fundamentals of Radar Signal Processing

and P . Several features are worth noting. First, P = P when χ = 0 (implying
FA
D
D
m = 0). This is to be expected since in that case, the PDF of ϒ(y) is the same
under either hypothesis. For a given P and χ > 0, P increases as the SNR
D
FA
increases, a result which should also be intuitively satisfying. Finally, note how
abrupt the transition between near-zero and near-unity detection probabilities
becomes as the SNR increases. This is a little misleading, since radars normally

operate with very low values of P ; depending on the type of system, P is
FA
FA
–6
typically no higher than 10 and very often is in the range of 10 to 10 or even
–3
–8
lower. Figure 6.2b plots the same data on a logarithmic scale for P , which
FA
better reveals the characteristics of the ROC for false alarm probabilities of
interest in radar signal processing.