Page 345 - Fundamentals of Radar Signal Processing

autocorrelation coefficient ρ [1] is denoted as simply ρ for simplicity. The
c
noise and clutter are uncorrelated with one another.
The definition of S is
I

(5.15)

Consider the s element. Using the fact that the noise and clutter are
11
uncorrelated and that each is zero mean, it can be quickly concluded that

(5.16)

Next consider the s element
12

(5.17)

Again, the noise and clutter are zero mean and uncorrelated and the noise is
white, so that the expected values of the first three terms are zero. However, the

last term becomes the pulse-to-pulse correlation of the clutter so that

(5.18)

It is easy to see that s = s and that . Thus
22
11

(5.19)

so that