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

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Chapter 3 / Sensors / Radar<br />

_ _<br />

⎛<br />

⎜<br />

⎜<br />

⎜<br />

⎝<br />

ξ<br />

ξ<br />

T<br />

TB<br />

L<br />

M<br />

MB<br />

T<br />

M<br />

T A M A<br />

( T , T ) : = ( T ⋅ T , T ⋅ T )<br />

⎞<br />

⎟<br />

⎟<br />

⎟<br />

⎠<br />

TB<br />

MB<br />

3.8-17<br />

A<br />

TB<br />

T<br />

T<br />

( cosΘ<br />

⋅ cos Ψ )<br />

A<br />

MB<br />

⎛ −1<br />

cos<br />

⎞<br />

⎜<br />

TB TB ⎟<br />

: = ⎜<br />

L<br />

⎟ ≤ RDξ<br />

⎜ −1<br />

M<br />

M ⎟<br />

⎝<br />

cos ( cosΘ<br />

MB ⋅ cos ΨMB<br />

) ⎠<br />

Equation 3.8-60<br />

BW<br />

Equation 3.8-61<br />

Failure to provide measurements because the target, or missile, is not in the<br />

main beam is indicated by the setting of bits 11-12 in GB_TR_VF<br />

respectively.<br />

Detection probability is usually based on Swerling’s five idealised target<br />

models. Swirling-0 is simply a constant velocity sphere. When illuminating<br />

a fast jet comprising one dominant reflector, and a number of minor<br />

reflectors, which change little over the observation period using a single<br />

frequency the Swerling-3 model is most appropriate. The Swerling-1 model<br />

is for slower targets with no dominant reflector. Swerling-2 (no dominant<br />

reflector) and Swerling-4 (one dominant reflector) are for pulse-to-pulse<br />

fluctuations associated with frequency agility.<br />

The Swerling-3 model is based on an approximation to the Rician<br />

distribution however, if sea and land clutter is considered this is often<br />

replaced by Log-Normal, or Weibull distributions. The reflected echoes<br />

from the target or missile are correlated with the transmitted waveform<br />

creating a detection peak against background noise. The radar applies its<br />

detection criteria to determine when an object is present in a particular cell.<br />

When the SNR is low the threshold between reliable target detection and a<br />

false alarms is marginal. Under these circumstances there is a finite<br />

probability that a target will be falsely identified, or the threshold set such<br />

that a target it will go undetected. These effects have been replaced by the<br />

fade from the Borden glint model. Failure to provide target pitch and yaw<br />

measurements due to the normalised RCS dropping below –30 dB is<br />

indicated by setting bits 13-14 in GB_TR_VF respectively.<br />

3.8.9 Output Interface<br />

Measured range, range-rate, bearing and elevation pass through a 16 bit<br />

interface (signed except for range) at a frequency (RDfO) of 10 Hz (clock 18).<br />

All measurements are subject to a one-cycle transmission delay and target<br />

limits of [0,60_000] m, ± 1000 m/s, ± 180° and ± 90° respectively; the range<br />

and range rate limits [0,15_000] m and ± 1_500 m/s for the missile.<br />

RD<br />

Z ~<br />

: =<br />

IF<br />

ϕ<br />

TD<br />

IF IF IF<br />

( ( ( ( Z , RDf<br />

O ) ) ) )<br />

~<br />

ϕ ϕ ϕ<br />

Q<br />

LIM<br />

ZOH<br />

Equation 3.8-62

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