3.6.13.3.Ambiguity
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
is called the maximum ambiguity. Let's estimate K
K
0
The same equation can be rewritten with the integer ratios r
In other words
Using relatively prime versions p
Consequently, since p
© Safran Data Systems
COMMAND RANGING & TELEMETRY UNIT CORTEX
CRT QUANTUM USER'S MANUAL
+
≅
+
〈
+
〈
+
〈
0 = 〈
, p
of r
, r
i
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i
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,
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and q
are relative prime numbers,
i
i
This document is the property of
It cannot be duplicated or distributed without expressed written consent.
= 〈
〉
1
= 〈
〉
1
+
≅ 〈
〉
,
1
+ +
〉
= 〈
〉
1
1
0
.
0
+
+
0
〉
= 〈
〉
1
1
, r
instead of the frequencies f
i
M
+
+
0
〉
= 〈
〉
1
1
0
〉
⟺ ∃
∈ ℕ,
=
1
0
,
)
,
=
gcd (
,
∃
∈ ℕ,
=
0
Safran Data Systems
.
Ref.
DTU 100042
Is.Rev.
Date:
Dec.
03, 2021Sept. 30, 2021
ollows:
, f
:
i
M
(
,
)
=
)
5.17
Page 192