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Safran CORTEX CRT Quantum - Ambiguity

Safran CORTEX CRT Quantum
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COMMAND RANGING & TELEMETRY UNIT CORTEX
CRT QUANTUM USER'S MANUAL
Ref. DTU 100042
Is.Rev. 5.17
Date: Dec.
03, 2021Sept. 30, 2021
© Safran Data Systems
This document is the property of Safran Data Systems.
It cannot be duplicated or distributed without expressed written consent.
Page 192
3.6.13.3.Ambiguity
ollows:
the number of turns of the major tone that is compatible with the phase measurements on minor tones:

There is a multitude values of K added to k that leads to the same phase measurements
All the K are integer multiple of the lowest one: K = n * K
0
K
0
is called the maximum ambiguity. Let’s estimate K
0
.
The same equation can be rewritten with the integer ratios r
i
, r
M
instead of the frequencies f
i
, f
M
:
In other words


Using relatively prime versions p
i
, p
M
of r
i
, r
M

󰇛
󰇜

󰇛
󰇜

󰇛
󰇜

󰇛
󰇜
Consequently, since p
i
and q
i
are relative prime numbers,



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