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

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Chapter 3 / Sensors / Radar<br />

_ _<br />

LF demands are processed using weave-tuned αβγ filters providing a<br />

smooth input to the gimbal dynamics at 100 Hz. A weave tuned αβγ filter is<br />

used with a bandwidth (ωDB) of 2 Hz and the weave frequency (ωDW) set to<br />

zero, reducing it to a normal αβγ filter. Its output provides target angular<br />

velocity and acceleration estimates that can be used for CLOS guidance.<br />

The high frequency (HF) demands pass through a phase compensation filter<br />

prior to digital to analogue conversion,<br />

ϕ<br />

DAC<br />

WT D<br />

( ϕ ( ϕ ( 10 ZG<br />

+ N ( 0 , RDσGA<br />

) , RDωDB<br />

, RDωDW<br />

) , RDωNC<br />

, RDωDC<br />

) )<br />

DDL<br />

αβδ<br />

3.8-3<br />

D<br />

100<br />

Z<br />

G<br />

: =<br />

Equation 3.8-3<br />

(RDσGA) is the physical misalignment of the radar with respect to the<br />

Alignment frame. This misalignment is constant and initialised using a<br />

zero-mean Gaussian error with a deviation of 3mrad. The compensation<br />

filter characteristics are matched to the phase loss due to the time delay and<br />

2 nd order actuator dynamics that follow,<br />

⎛<br />

⎜<br />

⎝<br />

1<br />

ω<br />

( ) ⎟ ω , ω : = ⎜<br />

,<br />

RD<br />

NC<br />

RD<br />

DC<br />

2 ⋅<br />

RD<br />

ζ<br />

C<br />

⋅<br />

RD<br />

C<br />

+<br />

RD<br />

t<br />

C<br />

RD<br />

1<br />

t<br />

C<br />

⎞<br />

⎠<br />

Equation 3.8-4<br />

( ζ , ω , t ) : = ( ζ , ω , t )<br />

RD<br />

C<br />

RD<br />

C<br />

RD<br />

C<br />

RD<br />

D2L<br />

RD<br />

D2L<br />

Table 3-14 : Gimbal Demand Processing Errors<br />

GB_RD_ER Gimbal Errors<br />

11 Gimbal demand weave filtering<br />

12 Gimbal demand slew rate limiting<br />

13 Gimbal demand control filtering<br />

14 Weave frequency estimate<br />

RD<br />

TD<br />

Equation 3.8-5<br />

The HF demands are converted to analogue using a 12 bit ADC subject to<br />

3 bits of noise with a sampling rate and range matched to the input interface.<br />

The injection of gimbal errors is controlled by the bit pattern of GB_RD_ER<br />

according to Table 3-6. ADC errors are controlled by bits 21-24 the same as<br />

the DAC, the bit controlling the A/A filter being redundant. The additional<br />

gimbal demand processing errors are activated using the spare bits in<br />

GB_RD_ER listed in Table 3-14.

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