Page 495 - Fundamentals of Radar Signal Processing

improves detection for values of p down to approximately 0.23, still well above

any likely single-trial false P . Thus the “2 of 4” rule appears to be the best
FA
choice when N = 4.

FIGURE 6.16 Ratio of the binary integrated probability to the single-trial
probability for an “M of 4” binary integration rule.

Recall that a nonfluctuating target has been implicitly assumed since the
single-trial P was taken to be the same on each trial. The results can be
D
extended to fluctuating targets (Weiner, 1991; Shnidman, 1998). One result of
these analyses is that for a given Swerling model, P specification, SNR, and
FA
number of trials N, there is a value M of M that maximizes P for a given
opt
BD
P BFA , N, and SNR. M can be estimated as
opt

(6.120)

where the parameters a and b are given in Table 6.4 for the various Swerling
–4
models with P = 0.9 and 10- ≤ P ≤ 10 (“Swerling 0” is the nonfluctuating
8
D
FA
case) (Shnidman, 1998). M must be rounded to the nearest integer.
opt