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#+6A
2
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6iMh@h) .
#+6A
2e
10
0
CONV. CODE (BOUND) CONV. CODE (SIM.) BINARY (LIMIT.) GAUSSIAN (LIMIT.)
M=1
10
M=2
M=3
-4
FER
10
-2
10
-6
M=4
10
10
-8
-10
0
5
10
15
20 E /N [dB] k
25
30
35
40
0
Ilj1 41 IHU shuirupdqfhv ri elqdu| frqyroxwlrqdo frghv dqg elqdu| dqg Jdxvvldq udqgrp frghv lq wkh eorfn0idglqj fkdqqho +qr lqwhuihuhqfh,1 Wkh frqyroxwlrqdo frghv kdyh vxesdfnhw ohqjwk O @ 436 elwv dqg jhqhudwru sro|qrpldov ^46; /48; /4:; /48; `1 Wkh shuirupdqfhv diwhu wudqvplvvlrq ri 4/ 5/ 6 dqg 7 vxesdfnhwv duh looxvwudwhg1
6iMh@h) .
#+6A
2D
10
CONV. CODE (BOUND) CONV. CODE (SIM.) BINARY (LIMIT.) GAUSSIAN (LIMIT.)
0
M=1
FER
10
10
10
10
-1
M=2
-2
M=3
M=4
-3
-4
0
5
10
15
20 E /N [dB] k
25
30
35
40
0
Ilj1 51 IHU shuirupdqfhv ri elqdu| frqyroxwlrqdo frghv dqg elqdu| dqg Jdxvvldq udqgrp frghv lq wkh eorfn0idglqj Jdxvvldq froolvlrq fkdqqho zlwk 83 xvhuv dqg wudqvplvvlrq suredelolw| 3=338 fruuhvsrqglqj wr fkdqqho ordg J @ 3=581 Wkh frqyroxwlrqdo frgh kdyh vxesdfnhw ohqjwk O @ 436 elwv dqg jhqhudwru sro|qrpldov ^46; /48; /4:; /48; `1 Wkh shuirupdqfhv diwhu wudqvplvvlrq ri 4/ 5/ 6 dqg 7 vxesdfnhwv duh looxvwudwhg1
6iMh@h) .
#+6A
2S
10
ν
0
2 =4 ν
2 = 32
M=1
FER
10
10
10
10
ν
2 = 256 BINARY (LIMIT.)
-1
M=2
-2
M=3
M=4
-3
-4
0
5
10
15
20 E /N [dB] k
Ilj1 61
25
30
35
40
0
IHU shuirupdqfhv ri elqdu| udqgrp frghv dqg frqyroxwlrqdo frghv zlwk 7/ 65 dqg 589 vwdwhv
iru wkh eorfn0idglqj Jdxvvldq froolvlrq fkdqqho1 Wkh fkdqqho krvwv 83 xvhuv zlwk wudqvplvvlrq sure0 delolw| 3=338 fruuhvsrqglqj wr fkdqqho ordg J @ 3=581 Wkh frqyroxwlrqdo frghv kdyh vxesdfnhw ohqjwk O @ 433 elwv +h{foxglqj wdloelwv, dqg jhqhudwru sro|qrpldov ^8; /:; /:; /8; `/ ^8:; /98; /:4; /:6; ` dqg ^88:; /:84; /856; /:64; `1 Wkh shuirupdqfhv diwhu wudqvplvvlrq ri 4/ 5/ 6 dqg 7 vxesdfnhwv duh looxvwudwhg1
6iMh@h) .
#+6A
2.
ν
2 =4 10
2 = 256 BINARY (LIMIT.)
-0.1
FER
10
ν
0
10
10
-0.2
-0.3
0
5
10
15
20 E /N [dB] k
Ilj1 71
25
30
35
40
0
IHU shuirupdqfhv ri elqdu| udqgrp frghv dqg frqyroxwlrqdo frghv zlwk 7 dqg 589 vwdwhv iru
wkh eorfn0idglqj Jdxvvldq froolvlrq fkdqqho1 Wkh fkdqqho krvwv 83 xvhuv zlwk wudqvplvvlrq suredelolw| 3=4 fruuhvsrqglqj wr fkdqqho ordg J @ 8=31 Wkh frqyroxwlrqdo frghv kdyh vxesdfnhw ohqjwk O @ 433 elwv +h{foxglqj wdloelwv, dqg jhqhudwru sro|qrpldov ^8; /:; /:; /8; ` dqg ^88:; /:84; /856; /:64; `1 Wkh shuirupdqfhv diwhu wudqvplvvlrq ri 4 +vrolg,/ 5 +gdvkhg,/ 6 +gdvk0grwwhg, dqg 7 +grwwhg, vxesdfnhwv duh looxvwudwhg1
6iMh@h) .
#+6A
2H
0.5 GAUSSIAN (LIMIT.) BINARY (LIMIT.)
0.45 R=2.0
0.4 0.35
E /N = 15 dB
η [bits/s/Hz]
k
0.3
0
R=0.6
0.25 0.2 R=1.0
0.15 0.1
R=0.8
0.05 0 0
2
4
6
8
10
G Ilj1 81 Dfklhydeoh wkurxjksxw yv1 ordg iru orqj vxesdfnhw Jdxvvldq +vrolg, dqg elqdu| +gdvkhg, udqgrp frghv zlwk wudqvplvvlrq udwhv U @ 3=9/ 3=;/ dqg 4=3 dw Hn @Q3 @ 48 gE iru d pd{lpxp ri P @ 7 +uh0,wudqvplvvlrqv1
6iMh@h) .
#+6A
2b
1 R=1 R=2 R=4 R=6 R=8
0.9 0.8 0.7 η [bits/s/Hz]
0.6 0.5 E /N = 15 dB k
0.4
0
0.3 0.2 0.1 0 0
2
4
6
8
10
G Ilj1 91
Dfklhydeoh wkurxjksxw yv1 ordg iru orqj vxesdfnhw Jdxvvldq udqgrp frghv zlwk wudqvplvvlrq
udwhv U @ 4> 5> 7> 9 dqg ; dw Hn @Q3 @ 48 gE iru d pd{lpxp ri P @ 7 +uh0,wudqvplvvlrqv1
6iMh@h) .
#+6A
f
0.4 GAUSSIAN (LIMIT.) BINARY (LIMIT.) CONV. CODE (SIM.) CONV. CODE (BOUND)
0.35 0.3
η [bits/s/Hz]
0.25 E /N = 15 dB
0.2
k
0
0.15 0.1 0.05 0 0
2
4
6
8
10
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#+6A
2D
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2
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6iMh@h) .
#+6A