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1
The one-way ambiguity distance is approximately:
3.6.9.4.2. Non-Integer Ratio Between Q Factors
The ESA-like and USB standards allow to select non integer ratios between minor tone « Q » factors. The
advantage of this solution is to increase the ambiguity distance much beyond the wavelength of the lowest virtual
minor tone. In this case, the one-way ambiguity distance can be directly derived from the Least Common Multiple
(LCM) of all « Q » factors.
Example: all real tones are in the range 47-53 kHz:
T
ONE RANK
(1 =
)
FIRST
7 (note 1)
6
5
4
3
2
1
The LCM is:
Qmin6 = 170 = 5x17x2
Qmin5 = 180 = 5x2
Qmin4 = 850 = 5
Qmin3 = 4250 = 2x5
Qmin2 = 21250 = 2x5
Qmin1 = 106250 = 2x5
2
LCM = 2
x5
0.2614 Hz
The one-way ambiguity distance is approximately:
© Safran Data Systems
COMMAND RANGING & TELEMETRY UNIT CORTEX
CRT QUANTUM USER'S MANUAL
800 000
Q
10
170
180
850
4 250
21 250
106 250
2
2
x3
2
x17x2
3
x17
4
x17
5
x17
5
2
x17x3
= 1,912,500, corresponding to a virtual tone of (500,000/1,912,500) =
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It cannot be duplicated or distributed without expressed written consent.
7 001
0.625
300 000
= 240 000 ����
0.625×2
P
V
IRTUAL
(
HZ
1
50 000.0
16
5 882.4
19
2 777.8
88
1 176.5
449
117.6
2 249
23.5
11 249
4.7
300 000
= 573 750 ����
0.2614×2
Safran Data Systems
.
Ref.
DTU 100042
Is.Rev.
5.17
Date:
Dec.
03, 2021Sept. 30, 2021
4 375.625
T
R
T
ONE
EAL
ONE
)
50 000,00
47 058.8
52 777.8
51 764.7
52 823.5
52 917.6
52 936.5
(
)
HZ
Page 178
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