Page 475 - Fundamentals of Radar Signal Processing

(6.62)

Under hypothesis H , z is a Rician voltage density
1
n

(6.63)

For a vector z of N such samples the joint PDFs are, for each z ≥ 0
n

(6.64)

(6.65)

The LRT and log-LRT become

(6.66)

(6.67)

Incorporating the term involving the ratio of signal power and noise power on
the left-hand side into the threshold gives

(6.68)

Equation (6.68) shows that, given N noncoherent samples of a
nonfluctuating target in white noise, the optimal Neyman-Pearson detection test
scales each sample by the quantity , passes it through the monotonic
nonlinearity ln [I (·)], and then integrates the processed samples and performs a
0