COMMAND RANGING & TELEMETRY UNIT CORTEX
CRT QUANTUM USER'S MANUAL
Ref. DTU 100042
Is.Rev. 5.17
Date: Dec.
03, 2021Sept. 30, 2021
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It cannot be duplicated or distributed without expressed written consent.
3.3.4.4. Doppler Computing
The Doppler measurements are computed owing to the accumulated phase interpolated every seconds
according to the formula :
,
where is the computed Doppler,
is the IF Receiver centre frequency and the accumulated phase with a
resolution of 2
-32
cycle.
The Doppler error is:
With:
Where:
And:
Where:
So:
Where D(t) is the input Doppler
A typical second-order Doppler variation of 10 Hz.s
-2
and third-order Doppler variation of 10
-4
Hz.s
-3
give a phase
error lower than (4.16x10
-3
+ 6.25x10
-9
) Hz for a sampling period Ts of 0.1 s, and lower than (41.6 + 6.25x10
-3
)
Hz for a sampling period Ts of 10s.
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