Radar Detection - MATLAB Simulations for Radar Systems Design - page 115

when the target fluctuation type is either Swerling I or Swerling III. Alterna-
tively, using non-coherent integration will always reduce the minimum
required SNR.

Rerun the MATLAB program Ð myradar_visit2_2_guiÑ. Use and
use (single pulse) for both the missile and aircraft single pulse
SNR 1 at their respective reference ranges, and
. The resulting cumulative probabilities of detection are

n P = 4

SNR = 4 dB

R 0 missile = 55 Km

R 0 aircraft = 90 Km

P DC Missile = 0.99945

P DC aircraft = 0.99812

which are both within the desired design requirements. It follows that the cor-
responding minimum required single pulse energy for the missile and the air-
craft cases are now given by

10 0.4
10 0.56

-------------

E m = 0.1658 × = 0.1147 Joules (2.115)

10 0.4
10 0.56

E a = 0.1487 × ------------- = 0.1029 Joules

(2.116)

Thus, the minimum single pulse peak power (assuming the same pulsewidth as
that given in Section1.9.2) is

0.1147
1 0

P t = ------------------- = 1 1 4 . 7 KW

(2.117)

– 6

×

Note that the peak power requirement will be significantly reduced while
maintaining a very fine range resolution when pulse compression techniques
are used. This will be discussed in a subsequent chapter.

Fig. 2.21 shows a plot of the SNR versus range for both target types. This
plot assumes 4-pulse non-coherent integration. It can be reproduced using
MATLAB program Ðfig2_21.mÑ. It is given in Listing 2.29 in Section 2.11.

2.11. MATLAB Program and Function Listings

This section presents listings for all MATLAB programs/functions used in
this chapter. The user is advised to rerun these programs with different input
parameters.

1. Again these values are educated guesses. The designer my be required to go through
a few iterations before arriving at an acceptable set of design parameters.