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≈
8.55
dB
9
P
fa
=
10
Figure 2.9. Probability of detection versus SNR,
, and non-
coherent integration.
2.6.2. Detection of Swerling I Targets
The exact formula for the probability of detection for Swerling I type targets
was derived by Swerling. It is
V
T
⁄
(
1
+
SNR
)
P
D
=
e
;
n
P
=
1
(2.75)
n
p
1
V
T
1
n
P
SNR
---------------------------
n
P
P
D
=
1 Γ
I
(
V
T
,
n
P
1
)
+
1
+
-----------------
Γ
I
,
1
(2.76)
1
n
P
SNR
1
+
-----------------
V
T
⁄
(
1
+
n
P
SNR
)
×
e
;
n
P
>
1
MATLAB Function Ðpd_swerling1.mÑ
The function
Ðpd_swerling1.mÑ
calculates the probability of detection for
Swerling I type targets. It is given in Listing 2.16 in Section 2.11. The syntax is
as follows:
[pd] = pd_swerling1 (nfa, np, snr)
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