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Figure 2.15. Fluctuation loss versus probability of detection.
2.8.
Cumulative Probability of Detection
Denote the range at which the single pulse SNR is unity (0 dB) as , and
refer to it as the reference range. Then, for a specific radar, the single pulse
SNR at
R
0
R
0
is defined by the radar equation and is given by
P
t
G
2
λ
2
σ
4(
3
kT
0
BFLR
4
(
SNR
)
R
0
=
----------------------------------------
=
1
(2.95)
The single pulse SNR at any range
R
is
P
t
G
2
λ
2
σ
4(
3
kT
0
BFLR
4
SNR
=
----------------------------------------
(2.96)
Dividing Eq. (2.96) by Eq. (2.95) yields
----
4
R
0
R
SNR
SNR
--------------------
=
(2.97)
(
)
R
0
Therefore, if the range
R
0
is known then the SNR at any other range
R
is
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