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

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Chapter 3 / Sensors / Radar<br />

_ _<br />

SN<br />

T<br />

: =<br />

P<br />

T<br />

⋅ n<br />

P<br />

3.8-11<br />

⋅ t<br />

64 ⋅ k<br />

P<br />

B<br />

⋅ λ<br />

2<br />

T<br />

⋅ T ⋅ P<br />

S<br />

⋅ σ<br />

⋅ λ<br />

RCS A<br />

4 4<br />

o,<br />

t ⋅ ξBW<br />

⋅ π<br />

Equation 3.8-39<br />

A number of loss factors must be taken into account that reduce the SNR<br />

and hence radar measurement accuracy. Lumping these losses together into<br />

a total loss factor (LF),<br />

SN<br />

T<br />

: =<br />

P<br />

T<br />

⋅ n<br />

P<br />

64 ⋅ k<br />

⋅ t<br />

B<br />

P<br />

⋅ λ<br />

S<br />

2<br />

T<br />

⋅ σ<br />

⋅ T ⋅ L ⋅<br />

F<br />

RCS<br />

4<br />

Po,<br />

t<br />

⋅ λ<br />

⋅ ξ<br />

⋅ π<br />

A<br />

4<br />

BW<br />

Equation 3.8-40<br />

When the missile carries a transponder transmission losses are one-way and<br />

the SNR must be modified to account for the transponder power, gain and<br />

pulse length,<br />

SN<br />

M<br />

: =<br />

P<br />

TR<br />

16 ⋅ k<br />

⋅ G<br />

B<br />

TR<br />

S<br />

⋅ n<br />

F<br />

P<br />

⋅ t<br />

⋅ T ⋅ L ⋅ P<br />

TP<br />

2<br />

o,<br />

m<br />

⋅ λ<br />

⋅ ξ<br />

2<br />

T<br />

2<br />

BW<br />

Equation 3.8-41<br />

A comprehensive description of the effect of the SNR for Over-the-Horizon<br />

radar studies is provided by Weiner [W.6] . A phased array radar switches the<br />

beam direction faster and it is easier to control dwell time thereby increasing<br />

the SNR, target detection probability and measurement accuracy, compared<br />

with say a mechanically rotated track-whilst-scan radar. The total loss<br />

factor is typically 10-12 dB and comprises,<br />

ATMOSPHERIC LOSSES (dB)<br />

0.6<br />

0.5<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

F<br />

2<br />

A<br />

2<br />

S<br />

L : = L ⋅ L ⋅ L ⋅ L<br />

ELEVATION = 0 deg<br />

ELEVATION = 10 deg<br />

ELEVATION = 30 deg<br />

ELEVATION = 60 deg<br />

0<br />

0 5 10 15 20 25 30<br />

B<br />

TARGET RANGE (km)<br />

Figure 3-40 : Atmospheric Loss vs Range<br />

M<br />

Equation 3.8-42

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