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Thesis - Leigh Moody.pdf - Bad Request - Cranfield University

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Chapter 3 / Sensors / Seeker<br />

_ _<br />

The beam width for a cosine radiation pattern depends on a radiating<br />

frequency (SKλT) of 17 GHz, and the antenna diameter, 70% of the missile<br />

diameter (dm) defined in §6.3,<br />

SK<br />

ξ<br />

BW<br />

3.9-15<br />

: =<br />

1.<br />

3 ⋅ SKλ<br />

0.<br />

7 ⋅ d<br />

m<br />

T<br />

Equation 3.9-30<br />

Including the antenna efficiency in with the general loss term leaves the<br />

directive gain as a function of the antenna beam-width (SKξBW) of 2°,<br />

The SNR is therefore,<br />

SK<br />

SN<br />

: =<br />

SK<br />

G : = 4 ⋅ π ξ<br />

SK<br />

2<br />

BW<br />

4<br />

SK P ⋅ ( 0.<br />

7 ⋅ dm<br />

) ⋅ SKt<br />

P ⋅ SKσ<br />

RCS<br />

3<br />

2<br />

4<br />

( 4 ⋅ π ) ⋅ k ⋅ T ⋅ λ ⋅ L ⋅ P<br />

B<br />

SK<br />

S<br />

SK<br />

T<br />

SK<br />

S<br />

Equation 3.9-31<br />

m,<br />

t<br />

Equation 3.9-32<br />

The RCS area (SKσCSA) is set to 1.0. Assuming a sky noise temperature of<br />

290 K, and negligible antennae to receiver input loss, the system noise<br />

temperature (SKTS) is dominated by the electronic noise factor (SKLRN),<br />

SK<br />

T : = 290⋅<br />

S<br />

SK<br />

L<br />

RN<br />

Equation 3.9-33<br />

Additional loss factors due to clear air atmospheric attenuation (LA) and<br />

constant signal processing loss (SKLS) are taken into consideration but not<br />

rain attenuation, clutter or multipath errors. The total loss factor,<br />

3.9.8.5 Glint Error<br />

SK<br />

L : =<br />

S<br />

10<br />

0.<br />

1<br />

Equation 3.9-34<br />

The glint model described in §3.8.7 is repeated for the RF seeker, the wave<br />

number and bandwidth computed at the detector and output interface rate,<br />

rS rS<br />

( k , ω ) : = ( 2 ⋅ π ⋅ f c , 2 ⋅ l ⋅ ω ⋅ k )<br />

SK<br />

WN<br />

SK<br />

G<br />

SK<br />

T<br />

t<br />

S,<br />

TV<br />

SK<br />

WN<br />

Equation 3.9-35<br />

The target dimensions normal to the seeker LOS and the angular velocity of<br />

the rotating line of reflectors along the target longitudinal axis are,

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