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3.3.6.6. Probability of Bit Error
Probability of bit error versus Eb/No for various coding techniques is given by the following curves:
.001E+00
1.000E-04
.100E-04
.010E-04
.001E-04
1.000E-08
.100E-08
.010E-08
.001E-08
0
The following formulas allow to calculate the theoretical Eb/No value, from the carrier to noise ratio at IF Receiver
input, for different telemetry modulation schemes (refer to Bessel tables. J
3.3.6.6.1. PCM/BPSK/PM (Low or High Bandwidth)
© Safran Data Systems
COMMAND RANGING & TELEMETRY UNIT CORTEX
CRT QUANTUM USER'S MANUAL
1
2
3
4
5
Figure 34: Probability of Bit Error versus Eb/No
Telemetry only:
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Telemetry and ranging tones:
����
= �� ��
⁄
��
0
Normal & dwell telemetry and ranging tones:
����
⁄
��
0
(������������)
= �� ��
+ 10 log (2��
− 10 log ����
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It cannot be duplicated or distributed without expressed written consent.
6
7
8
9
10
Eb/N0
= �� ��
+ 10 log (2��
⁄
⁄
��
1
0
0
2
+ 10 log (2��
) + 20 log (��
⁄
1
(����)
0
⁄
0
2
) + 20 log (��
1
(������������)
(������������)
Safran Data Systems
.
Ref.
DTU 100042
Is.Rev.
Date:
Dec.
03, 2021Sept. 30, 2021
No Code
Viterbi
RS(255,223) I=5
RS(255,239) I=5
Viterbi + RS(255,223) I=5
Viterbi + RS(255,239) I=5
11
12
13
1
= carrier, J
= modulating signal).
0
2
) − 10 log ����
(����)
) − 10 log ����
0 (������)
) + 20 log (��
0 (����������)
5.17
)
0 (������)
Page 72
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