IEEE C802.16m-09/0675r1
Project
IEEE 802.16 Broadband Wireless Access Working Group <http://ieee802.org/16>
Title
Proposed Text on 15.x.1.3 Burst partition
Date
Submitted
2009-03-09
Source(s)
Seunghyun Kang, Sukwoo Lee
Voice: +82-31-450-1918
E-mail: sh_kang@lge.com, sugoo@lge.com
LG Electronics
Xin Qi, Joon Chun
xin.qi@nsn.com
Nokia Siemens Networks
Zexian Li
Nokia
Re:
IEEE 802.16m-09/0012, “Call for Contributions on Project 802.16m Amendment Working
Document (AWD) Content”
Target topic: “Channel Coding”
Abstract
This contribution proposes the burst partition rule for IEEE 802.16m CTC.
Purpose
To be discussed and adopted in the Amendment Working Document.
Notice
Release
Patent
Policy
This document does not represent the agreed views of the IEEE 802.16 Working Group or any of its subgroups. It
represents only the views of the participants listed in the “Source(s)” field above. It is offered as a basis for
discussion. It is not binding on the contributor(s), who reserve(s) the right to add, amend or withdraw material
contained herein.
The contributor grants a free, irrevocable license to the IEEE to incorporate material contained in this contribution,
and any modifications thereof, in the creation of an IEEE Standards publication; to copyright in the IEEE’s name
any IEEE Standards publication even though it may include portions of this contribution; and at the IEEE’s sole
discretion to permit others to reproduce in whole or in part the resulting IEEE Standards publication. The
contributor also acknowledges and accepts that this contribution may be made public by IEEE 802.16.
The contributor is familiar with the IEEE-SA Patent Policy and Procedures:
<http://standards.ieee.org/guides/bylaws/sect6-7.html#6> and
<http://standards.ieee.org/guides/opman/sect6.html#6.3>.
Further information is located at <http://standards.ieee.org/board/pat/pat-material.html> and
<http://standards.ieee.org/board/pat>.
Proposed Text on 15.x.1.3 Burst partition
Seunghyun Kang, Sukwoo Lee
LG Electronics
Xin Qi, Joon Chun
Nokia Siemens Networks
Zexian Li
Nokia
1
-1-
IEEE C802.16m-09/0675r1
1.
Introduction
According to the current SDD[1], when the size of a data burst including a burst CRC exceeds the maximum
FEC block size of 4800 bits, it is partitioned into a number of FEC blocks, each of which is encoded separately.
In this contribution, we propose new burst partition rule (or FEC block segmentation rule) for IEEE 802.16m
CTC (Convolutional Turbo Codes) and provide the proposed text for the IEEE 802.16m AWD.
2.
Baseline burst partition rule
In [2], the baseline burst partition has been provided by “Channel coding and HARQ drafting group” and it is as
follows.
N FB  arg max X  ( N mod  RFEC  N RE  NSM / K FB )
X { N FB}
,where
Nmod
RFEC
NRE
NSM
NFB_MAX
KFB
is the modulation order of the burst transmission, which is specified by MCS index
is the nominal code rate of the burst transmission, which is specified by MCS index
is the number of resource elements allocated for burst transmission. The calculation of NRE shall
exclude the resource elements used by pilot channels
is the spatial multiplexing order of the resource elements allocated for burst transmission.
is the maximum FEC block size, which equals to 4800 bits.
is the number of FEC blocks and K FB  ceil N mod  RFEC  N RE  N SM / N FB_MAX 
However, by using the baseline burst partition rule, there can be undesirable burst partition results which require
more FEC blocks than required as follows.
Table 1. Examples of the baseline burst partition rule.
k = Nmod·RFEC·NRE·NSM
KFB
NFB
NInfo= KFB·NFB
4800· (KFB-1)
4800 < k < 4864
9600< k <9792
14400< k <14592
2
3
4
2368
3200
3600
4736
9600
14080
4800
9600
14400
In the above results, the required number of FEC block shall be (KFB - 1) since the information block size NInfo
( or the transmittable burst size including burst CRC and FEC block CRC) is less than or equal to 4800*(KFB-1).
Furthermore, for the case that k is less than the minimum FEC block size of 48 bit, there is no way to force the
information size to be 48 bits.
3.
Proposed burst partition rules
In the previous meeting in La Jolla, USA (Session # 59), there had been one more burst partition rules in [3]
which is also applicable to the terminology using the parameters of MCS and the number of resources. In the
following, we introduce our proposed burst partition rule as a candidate scheme for IEEE 802.16m channel
2
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IEEE C802.16m-09/0675r1
coding.
3.1. Details on the Burst partition rule.
In [3], if the information block size NInfo is larger than 4800 bits then it is partitioned into KFB FEC blocks, each
size of which is NFB,i where i = 0, …, KFB -1. Note that the FEC block size NFB,i includes an FEC block CRC.
The information block size NInfo and FEC block sizes shall be
N Info 
( K FB 1)
N
i 0
FB,i
.
Following to the terminology using the parameters of MCS and the number of resources, NInfo is defined as
follows.
k  N mod  RFEC  N RE  N SM
IF k  N FB_MAX,
N Info  arg min X  (k )
X { N FB }
ELSE,
k 
N Info     64
 64 
Also, the number of FEC blocks KFB is defined with NInfo as follows.
 N Info 
K FB  

 N FB_MAX 
When the information block size NInfo is larger than 4800 bits, the proposed burst partition rule is performed as
follows.
Proposed burst partition rule:
a) First, the base FEC block size NBase is given by the followings.
 N Info 
N Base  
  64
 K FB  64 
If N Base mod 7  0, N Base  N Base  64
b) The parameters α and k are specified by the followings.
3
-3-
IEEE C802.16m-09/0675r1
128,
 64,
 
If ( N Base / 64) mod 7  6
Otherwise
 N  K FB  N Base 
k   Info




c) Initialize NFB,i , where i=0… (KFB -1)
 N   , If i  k
N FB, i   Base
 N Base , Otherwise
d) If N Info  K FB  N Base  mod   64 , Modify NFB,i as follows
If k  0
N FB,0  N FB,0  128 , N FB,( K FB 1)  N FB,( K FB 1)  64
Otherwise,
N FB,0  N FB,0  64
4. Comparison on the candidate burst partition rules
During the E-mail discussion in the “Channel coding and HARQ drafting group”, the modified baseline burst
partition rule has been provided as one of the candidate schemes as follows.
N FB  arg min X  ( N mod  RFEC  N RE  NSM / K FB )
X { N FB}
For the comparison of the burst partition rules (both the proposed burst partition rule and the modified one), we
have evaluated two sets of information block sizes with the following conditions.
Table 2. Evaluation conditions
# of RU’s
# of RE’s per RU
MCS
1~192
96
16 MCS levels in [2]
Table 3. Information block size table using the proposed burst partition rule in section 3
#RU
1
2
3
4
5
6
7
0
48
48
72
96
120
144
176
1
48
72
120
144
184
216
256
2
64
120
160
216
272
320
376
3
80
152
232
304
384
456
544
4
104
208
304
416
512
608
712
5
136
264
400
528
656
776
912
6
160
312
472
624
768
936
1072
MCS level
7
8
192
240
384
472
584
712
768
936
960
1184
1160
1424
1368
1640
4
9
288
552
848
1112
1392
1672
1952
10
304
608
912
1216
1536
1824
2144
11
360
712
1072
1424
1784
2144
2496
12
416
824
1248
1640
2048
2496
2880
13
472
936
1392
1864
2328
2816
3264
14
512
1024
1536
2048
2560
3072
3648
-4-
15
544
1072
1600
2144
2752
3200
3776
IEEE C802.16m-09/0675r1
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9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
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25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
192
216
240
256
288
304
328
352
376
400
432
456
472
496
512
544
568
584
608
640
656
680
712
736
752
768
800
824
848
872
888
912
936
960
984
1000
1024
1048
1072
1096
1136
1160
1184
1216
1216
1248
1280
1280
1312
1336
1368
1392
1424
1424
1448
1480
1504
1536
1536
1560
1600
1640
1640
1672
1712
1712
1752
1752
288
328
360
400
432
472
512
544
584
624
656
696
720
768
800
848
872
912
936
984
1024
1048
1096
1136
1160
1216
1248
1280
1312
1336
1368
1424
1448
1480
1536
1560
1600
1640
1672
1712
1752
1784
1824
1864
1896
1920
1952
2000
2048
2096
2096
2144
2192
2232
2232
2280
2328
2368
2432
2432
2496
2496
2560
2560
2624
2752
2752
2752
432
480
544
600
640
696
752
800
872
912
960
1024
1072
1136
1184
1248
1280
1336
1392
1448
1504
1560
1600
1672
1712
1784
1824
1864
1920
2000
2048
2096
2144
2192
2280
2328
2368
2432
2496
2560
2560
2624
2752
2752
2816
2880
2880
2944
3008
3072
3200
3200
3200
3264
3328
3392
3456
3520
3520
3648
3648
3712
3776
3840
3840
3904
3968
4096
608
696
768
848
912
1000
1072
1160
1216
1312
1368
1448
1536
1600
1672
1752
1824
1896
2000
2048
2144
2232
2280
2368
2432
2560
2624
2752
2752
2816
2880
3008
3072
3200
3200
3264
3392
3456
3520
3648
3648
3712
3840
3904
3968
4096
4096
4224
4288
4352
4416
4544
4608
4672
4736
4800
4864
4928
5056
5120
5184
5248
5312
5440
5504
5568
5632
5696
824
912
1024
1136
1216
1336
1424
1536
1640
1752
1824
1952
2048
2144
2232
2368
2432
2560
2752
2752
2880
2944
3072
3200
3264
3392
3456
3648
3648
3776
3904
3968
4096
4160
4288
4416
4544
4608
4672
4800
4864
4992
5120
5184
5312
5376
5504
5632
5696
5824
5888
6016
6080
6208
6336
6400
6528
6592
6720
6784
6912
7040
7104
7232
7296
7424
7552
7616
1048
1160
1312
1424
1560
1672
1824
1952
2096
2192
2328
2496
2624
2752
2880
3008
3200
3264
3392
3520
3648
3776
3904
4096
4160
4288
4416
4544
4672
4800
4928
5056
5184
5312
5440
5568
5696
5824
5952
6080
6208
6336
6464
6592
6720
6848
6976
7104
7232
7360
7488
7616
7744
7872
8000
8128
8256
8384
8512
8640
8768
8896
9024
9152
9280
9408
9536
9664
1248
1392
1536
1712
1864
2000
2144
2328
2496
2624
2816
2944
3072
3264
3392
3520
3712
3840
4096
4160
4288
4544
4608
4800
4928
5056
5248
5376
5568
5696
5824
6016
6144
6336
6464
6592
6784
6912
7040
7232
7360
7552
7680
7808
8000
8128
8320
8448
8576
8768
8896
9088
9216
9344
9536
9664
9792
9984
10112
10304
10432
10560
10752
10880
11072
11200
11328
11520
1536
1752
1920
2144
2328
2496
2752
2880
3072
3264
3456
3648
3840
4096
4224
4416
4608
4800
4992
5184
5376
5568
5760
5952
6144
6336
6528
6720
6912
7104
7296
7488
7680
7872
8064
8256
8448
8640
8832
9024
9216
9408
9600
9792
9984
10176
10368
10560
10752
10944
11136
11328
11520
11712
11904
12096
12288
12480
12672
12864
13056
13248
13440
13632
13824
14016
14208
14400
5
1864
2096
2328
2560
2816
3072
3264
3520
3776
3968
4224
4544
4672
4928
5120
5376
5632
5824
6080
6336
6528
6784
6976
7232
7488
7680
7936
8192
8384
8640
8896
9088
9344
9536
9792
10048
10240
10496
10752
10944
11200
11456
11648
11904
12096
12352
12608
12800
13056
13312
13504
13760
13952
14208
14464
14656
14912
15168
15360
15616
15872
16064
16320
16512
16768
17024
17216
17472
2232
2496
2816
3072
3328
3648
3904
4160
4416
4736
4992
5248
5568
5824
6080
6400
6656
6912
7232
7488
7744
8064
8320
8576
8832
9152
9408
9664
9984
10240
10496
10816
11072
11328
11648
11904
12160
12480
12736
12992
13248
13568
13824
14080
14400
14656
14912
15232
15488
15744
16064
16320
16576
16896
17152
17408
17664
17984
18240
18496
18816
19072
19328
19648
19904
20160
20480
20736
2432
2752
3072
3392
3648
3968
4288
4608
4864
5184
5504
5824
6080
6400
6720
7040
7296
7616
7936
8256
8512
8832
9152
9472
9728
10048
10368
10688
10944
11264
11584
11904
12160
12480
12800
13120
13376
13696
14016
14336
14592
14912
15232
15552
15808
16128
16448
16768
17024
17344
17664
17984
18240
18560
18880
19200
19456
19776
20096
20352
20672
20992
21312
21568
21888
22208
22528
22784
2880
3200
3648
3904
4288
4608
4992
5312
5696
6016
6400
6720
7104
7424
7808
8128
8512
8832
9216
9600
9920
10304
10624
11008
11328
11712
12032
12416
12736
13120
13440
13824
14144
14528
14848
15232
15552
15936
16256
16640
16960
17344
17664
18048
18432
18752
19136
19456
19840
20160
20544
20864
21248
21568
21952
22272
22656
22976
23360
23680
24064
24384
24768
25088
25472
25792
26176
26496
3264
3712
4096
4544
4928
5312
5760
6144
6528
6976
7360
7744
8192
8576
8960
9408
9792
10240
10624
11008
11456
11840
12224
12672
13056
13440
13888
14272
14720
15104
15488
15936
16320
16704
17152
17536
17920
18368
18752
19200
19584
19968
20416
20800
21184
21632
22016
22400
22848
23232
23680
24064
24448
24896
25280
25664
26112
26496
26880
27328
27712
28160
28544
28928
29376
29760
30144
30592
3712
4160
4672
5120
5568
6016
6464
6976
7424
7872
8320
8768
9280
9728
10176
10624
11072
11584
12032
12480
12928
13440
13888
14336
14784
15232
15744
16192
16640
17088
17536
18048
18496
18944
19392
19840
20352
20800
21248
21696
22144
22656
23104
23552
24000
24448
24960
25408
25856
26304
26816
27264
27712
28160
28608
29120
29568
30016
30464
30912
31424
31872
32320
32768
33216
33728
34176
34624
4096
4608
5120
5632
6080
6592
7104
7616
8128
8640
9152
9664
10176
10688
11200
11648
12160
12672
13184
13696
14208
14720
15232
15744
16256
16768
17216
17728
18240
18752
19264
19776
20288
20800
21312
21824
22336
22784
23296
23808
24320
24832
25344
25856
26368
26880
27392
27904
28352
28864
29376
29888
30400
30912
31424
31936
32448
32960
33472
33920
34432
34944
35456
35968
36480
36992
37504
38016
-5-
4288
4800
5376
5888
6400
6976
7488
8000
8576
9088
9600
10176
10688
11200
11776
12288
12800
13376
13888
14400
14976
15488
16000
16576
17088
17600
18176
18688
19200
19776
20288
20800
21376
21888
22400
22976
23488
24000
24576
25088
25600
26176
26688
27200
27776
28288
28800
29376
29888
30400
30976
31488
32000
32576
33088
33600
34176
34688
35200
35776
36288
36800
37376
37888
38400
38976
39488
40000
IEEE C802.16m-09/0675r1
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128
129
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132
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134
135
136
137
138
139
140
141
142
143
1784
1824
1824
1864
1864
1896
1920
1952
2000
2000
2000
2048
2048
2096
2096
2144
2144
2192
2192
2232
2232
2280
2280
2328
2328
2368
2432
2432
2432
2496
2496
2496
2560
2560
2560
2624
2624
2752
2752
2752
2752
2752
2752
2816
2816
2816
2880
2880
2944
2944
2944
3008
3008
3008
3072
3072
3072
3200
3200
3200
3200
3200
3264
3264
3264
3328
3328
3328
2752
2816
2816
2880
2880
2944
3008
3008
3072
3072
3200
3200
3200
3264
3264
3328
3328
3392
3392
3456
3456
3520
3648
3648
3648
3648
3712
3712
3776
3840
3840
3904
3904
3968
3968
4096
4096
4096
4160
4160
4224
4224
4288
4288
4352
4416
4416
4544
4544
4544
4544
4608
4608
4672
4736
4736
4800
4800
4864
4864
4928
4992
4992
5056
5056
5120
5120
5184
4096
4160
4160
4224
4288
4352
4416
4544
4544
4544
4608
4672
4736
4800
4800
4864
4928
4992
5056
5120
5120
5184
5248
5312
5376
5440
5440
5504
5568
5632
5696
5760
5760
5824
5888
5952
6016
6080
6080
6144
6208
6272
6336
6400
6400
6464
6528
6592
6656
6720
6720
6784
6848
6912
6976
6976
7040
7104
7168
7232
7296
7296
7360
7424
7488
7552
7616
7616
5760
5888
5952
6016
6080
6144
6272
6336
6400
6464
6528
6592
6720
6784
6848
6912
6976
7104
7168
7232
7296
7360
7424
7552
7616
7680
7744
7808
7936
8000
8064
8128
8192
8320
8384
8448
8512
8576
8640
8768
8832
8896
8960
9024
9152
9216
9280
9344
9408
9472
9600
9664
9728
9792
9856
9984
10048
10112
10176
10240
10304
10432
10496
10560
10624
10688
10816
10880
7744
7808
7936
8000
8128
8256
8320
8448
8512
8640
8768
8832
8960
9024
9152
9216
9344
9472
9536
9664
9728
9856
9984
10048
10176
10240
10368
10432
10560
10688
10752
10880
10944
11072
11200
11264
11392
11456
11584
11648
11776
11904
11968
12096
12160
12288
12416
12480
12608
12672
12800
12864
12992
13120
13184
13312
13376
13504
13568
13696
13824
13888
14016
14080
14208
14336
14400
14528
9792
9920
10048
10176
10304
10432
10560
10688
10816
10944
11072
11200
11328
11456
11584
11712
11840
11968
12096
12224
12352
12480
12608
12736
12864
12992
13120
13248
13376
13504
13632
13760
13888
14016
14144
14272
14400
14528
14656
14784
14912
15040
15168
15296
15424
15552
15680
15808
15936
16064
16192
16320
16448
16576
16704
16832
16960
17088
17216
17344
17472
17600
17728
17856
17984
18112
18240
18368
11648
11840
11968
12096
12288
12416
12608
12736
12864
13056
13184
13312
13504
13632
13824
13952
14080
14272
14400
14592
14720
14848
15040
15168
15360
15488
15616
15808
15936
16128
16256
16384
16576
16704
16832
17024
17152
17344
17472
17600
17792
17920
18112
18240
18368
18560
18688
18880
19008
19136
19328
19456
19584
19776
19904
20096
20224
20352
20544
20672
20864
20992
21120
21312
21440
21632
21760
21888
14592
14784
14976
15168
15360
15552
15744
15936
16128
16320
16512
16704
16896
17088
17280
17472
17664
17856
18048
18240
18432
18624
18816
19008
19200
19392
19584
19776
19968
20160
20352
20544
20736
20928
21120
21312
21504
21696
21888
22080
22272
22464
22656
22848
23040
23232
23424
23616
23808
24000
24192
24384
24576
24768
24960
25152
25344
25536
25728
25920
26112
26304
26496
26688
26880
27072
27264
27456
6
17728
17920
18176
18368
18624
18880
19072
19328
19584
19776
20032
20288
20480
20736
20928
21184
21440
21632
21888
22144
22336
22592
22848
23040
23296
23488
23744
24000
24192
24448
24704
24896
25152
25344
25600
25856
26048
26304
26560
26752
27008
27264
27456
27712
27904
28160
28416
28608
28864
29120
29312
29568
29760
30016
30272
30464
30720
30976
31168
31424
31680
31872
32128
32320
32576
32832
33024
33280
20992
21312
21568
21824
22080
22400
22656
22912
23232
23488
23744
24064
24320
24576
24896
25152
25408
25728
25984
26240
26496
26816
27072
27328
27648
27904
28160
28480
28736
28992
29312
29568
29824
30144
30400
30656
30912
31232
31488
31744
32064
32320
32576
32896
33152
33408
33728
33984
34240
34560
34816
35072
35328
35648
35904
36160
36480
36736
36992
37312
37568
37824
38144
38400
38656
38976
39232
39488
23104
23424
23744
24000
24320
24640
24960
25216
25536
25856
26176
26432
26752
27072
27392
27648
27968
28288
28608
28864
29184
29504
29824
30080
30400
30720
31040
31296
31616
31936
32256
32512
32832
33152
33472
33728
34048
34368
34688
34944
35264
35584
35904
36160
36480
36800
37120
37376
37696
38016
38336
38592
38912
39232
39488
39808
40128
40448
40704
41024
41344
41664
41920
42240
42560
42880
43136
43456
26880
27264
27584
27968
28288
28672
28992
29376
29696
30080
30400
30784
31104
31488
31808
32192
32512
32896
33216
33600
33920
34304
34624
35008
35328
35712
36032
36416
36800
37120
37504
37824
38208
38528
38912
39232
39616
39936
40320
40640
41024
41344
41728
42048
42432
42752
43136
43456
43840
44160
44544
44864
45248
45632
45952
46336
46656
47040
47360
47744
48064
48448
48768
49152
49472
49856
50176
50560
30976
31360
31808
32192
32640
33024
33408
33856
34240
34624
35072
35456
35840
36288
36672
37120
37504
37888
38336
38720
39104
39552
39936
40320
40768
41152
41600
41984
42368
42816
43200
43584
44032
44416
44800
45248
45632
46080
46464
46848
47296
47680
48064
48512
48896
49280
49728
50112
50560
50944
51328
51776
52160
52544
52992
53376
53760
54208
54592
55040
55424
55808
56256
56640
57024
57472
57856
58240
35072
35520
36032
36480
36928
37376
37824
38336
38784
39232
39680
40192
40640
41088
41536
41984
42496
42944
43392
43840
44288
44800
45248
45696
46144
46592
47104
47552
48000
48448
48896
49408
49856
50304
50752
51200
51712
52160
52608
53056
53568
54016
54464
54912
55360
55872
56320
56768
57216
57664
58176
58624
59072
59520
59968
60480
60928
61376
61824
62272
62784
63232
63680
64128
64576
65088
65536
65984
38528
39040
39488
40000
40512
41024
41536
42048
42560
43072
43584
44096
44608
45120
45568
46080
46592
47104
47616
48128
48640
49152
49664
50176
50688
51136
51648
52160
52672
53184
53696
54208
54720
55232
55744
56256
56704
57216
57728
58240
58752
59264
59776
60288
60800
61312
61824
62272
62784
63296
63808
64320
64832
65344
65856
66368
66880
67392
67840
68352
68864
69376
69888
70400
70912
71424
71936
72448
-6-
40576
41088
41600
42176
42688
43200
43776
44288
44800
45376
45888
46400
46976
47488
48000
48576
49088
49600
50176
50688
51200
51776
52288
52800
53376
53888
54400
54976
55488
56000
56576
57088
57600
58176
58688
59200
59776
60288
60800
61376
61888
62400
62976
63488
64000
64576
65088
65600
66176
66688
67200
67776
68288
68800
69376
69888
70400
70976
71488
72000
72576
73088
73600
74176
74688
75200
75776
76288
IEEE C802.16m-09/0675r1
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
3392
3392
3456
3456
3456
3520
3520
3520
3648
3648
3648
3648
3648
3712
3712
3712
3776
3776
3776
3840
3840
3840
3904
3904
3968
3968
3968
4096
4096
4096
4096
4096
4096
4160
4160
4224
4224
4224
4288
4288
4288
4352
4352
4352
4416
4416
4544
4544
4544
5184
5248
5312
5312
5376
5376
5440
5440
5504
5568
5568
5632
5632
5696
5696
5760
5760
5824
5888
5888
5952
5952
6016
6016
6080
6144
6144
6208
6208
6272
6272
6336
6336
6400
6464
6464
6528
6528
6592
6592
6656
6720
6720
6784
6784
6848
6848
6912
6912
7680
7744
7808
7872
7936
7936
8000
8064
8128
8192
8256
8256
8320
8384
8448
8512
8576
8576
8640
8704
8768
8832
8896
8896
8960
9024
9088
9152
9216
9216
9280
9344
9408
9472
9536
9536
9600
9664
9728
9792
9856
9856
9920
9984
10048
10112
10176
10176
10240
10944
11008
11072
11136
11264
11328
11392
11456
11520
11648
11712
11776
11840
11904
12032
12096
12160
12224
12288
12352
12480
12544
12608
12672
12736
12864
12928
12992
13056
13120
13184
13312
13376
13440
13504
13568
13696
13760
13824
13888
13952
14016
14144
14208
14272
14336
14400
14528
14592
14592
14720
14784
14912
15040
15104
15232
15296
15424
15552
15616
15744
15808
15936
16000
16128
16256
16320
16448
16512
16640
16768
16832
16960
17024
17152
17216
17344
17472
17536
17664
17728
17856
17984
18048
18176
18240
18368
18432
18560
18688
18752
18880
18944
19072
19200
19264
19392
19456
18496
18624
18752
18880
19008
19136
19264
19392
19520
19648
19776
19904
20032
20160
20288
20416
20544
20672
20800
20928
21056
21184
21312
21440
21568
21696
21824
21952
22080
22208
22336
22464
22592
22720
22848
22976
23104
23232
23360
23488
23616
23744
23872
24000
24128
24256
24384
24512
24640
22080
22208
22400
22528
22656
22848
22976
23104
23296
23424
23616
23744
23872
24064
24192
24384
24512
24640
24832
24960
25152
25280
25408
25600
25728
25920
26048
26176
26368
26496
26624
26816
26944
27136
27264
27392
27584
27712
27904
28032
28160
28352
28480
28672
28800
28928
29120
29248
29376
27648
27840
28032
28224
28416
28608
28800
28992
29184
29376
29568
29760
29952
30144
30336
30528
30720
30912
31104
31296
31488
31680
31872
32064
32256
32448
32640
32832
33024
33216
33408
33600
33792
33984
34176
34368
34560
34752
34944
35136
35328
35520
35712
35904
36096
36288
36480
36672
36864
33536
33728
33984
34240
34432
34688
34880
35136
35392
35584
35840
36096
36288
36544
36736
36992
37248
37440
37696
37952
38144
38400
38656
38848
39104
39296
39552
39808
40000
40256
40512
40704
40960
41216
41408
41664
41856
42112
42368
42560
42816
43072
43264
43520
43712
43968
44224
44416
44672
39744
40064
40320
40576
40896
41152
41408
41728
41984
42240
42560
42816
43072
43392
43648
43904
44160
44480
44736
44992
45312
45568
45824
46144
46400
46656
46976
47232
47488
47808
48064
48320
48576
48896
49152
49408
49728
49984
50240
50560
50816
51072
51392
51648
51904
52224
52480
52736
52992
43776
44096
44352
44672
44992
45312
45568
45888
46208
46528
46784
47104
47424
47744
48000
48320
48640
48960
49216
49536
49856
50176
50432
50752
51072
51392
51648
51968
52288
52608
52864
53184
53504
53824
54080
54400
54720
55040
55296
55616
55936
56256
56512
56832
57152
57472
57728
58048
58368
50880
51264
51584
51968
52288
52672
52992
53376
53696
54080
54464
54784
55168
55488
55872
56192
56576
56896
57280
57600
57984
58304
58688
59008
59392
59712
60096
60416
60800
61120
61504
61824
62208
62528
62912
63232
63616
64000
64320
64704
65024
65408
65728
66112
66432
66816
67136
67520
67840
58688
59072
59520
59904
60288
60736
61120
61504
61952
62336
62720
63168
63552
64000
64384
64768
65216
65600
65984
66432
66816
67200
67648
68032
68480
68864
69248
69696
70080
70464
70912
71296
71680
72128
72512
72960
73344
73728
74176
74560
74944
75392
75776
76160
76608
76992
77440
77824
78208
66432
66944
67392
67840
68288
68736
69248
69696
70144
70592
71040
71552
72000
72448
72896
73344
73856
74304
74752
75200
75648
76160
76608
77056
77504
77952
78464
78912
79360
79808
80320
80768
81216
81664
82112
82624
83072
83520
83968
84416
84928
85376
85824
86272
86720
87232
87680
88128
88576
72960
73408
73920
74432
74944
75456
75968
76480
76992
77504
78016
78528
78976
79488
80000
80512
81024
81536
82048
82560
83072
83584
84096
84544
85056
85568
86080
86592
87104
87616
88128
88640
89152
89664
90176
90624
91136
91648
92160
92672
93184
93696
94208
94720
95232
95744
96192
96704
97216
76800
77376
77888
78400
78976
79488
80000
80576
81088
81600
82176
82688
83200
83776
84288
84800
85376
85888
86400
86976
87488
88000
88576
89088
89600
90176
90688
91200
91776
92288
92800
93376
93888
94400
94976
95488
96000
96576
97088
97600
98176
98688
99200
99776
100288
100800
101376
101888
102400
Table 4. Information block size table using the modified baseline burst partition rule in section 4
#RU
1
2
3
4
5
6
7
8
9
10
11
12
0
48
48
72
96
120
144
176
192
216
240
256
288
1
48
72
120
144
184
216
256
288
328
360
400
432
2
64
120
160
216
272
320
376
432
480
544
600
640
3
80
152
232
304
384
456
544
608
696
768
848
912
4
104
208
304
416
512
608
712
824
912
1024
1136
1216
5
136
264
400
528
656
776
912
1048
1160
1312
1424
1560
6
160
312
472
624
768
936
1072
1248
1392
1536
1712
1864
MCS level
7
8
192
240
384
472
584
712
768
936
960
1184
1160
1424
1368
1640
1536
1864
1752
2096
1920
2328
2144
2560
2328
2816
7
9
288
552
848
1112
1392
1672
1952
2232
2496
2816
3072
3328
10
304
608
912
1216
1536
1824
2144
2432
2752
3072
3392
3648
11
360
712
1072
1424
1784
2144
2496
2880
3200
3648
3904
4288
12
416
824
1248
1640
2048
2496
2880
3264
3712
4096
4544
4992
13
472
936
1392
1864
2328
2816
3264
3712
4160
4672
5120
5632
14
512
1024
1536
2048
2560
3072
3648
4096
4608
5120
5632
6144
-7-
15
544
1072
1600
2144
2752
3200
3776
4288
4800
5504
5888
6400
IEEE C802.16m-09/0675r1
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
304
328
352
376
400
432
456
472
496
512
544
568
584
608
640
656
680
712
736
752
768
800
824
848
872
888
912
936
960
984
1000
1024
1048
1072
1096
1136
1160
1184
1216
1216
1248
1280
1280
1312
1336
1368
1392
1424
1424
1448
1480
1504
1536
1536
1560
1600
1640
1640
1672
1712
1712
1752
1752
1784
1824
1824
1864
1864
472
512
544
584
624
656
696
720
768
800
848
872
912
936
984
1024
1048
1096
1136
1160
1216
1248
1280
1312
1336
1368
1424
1448
1480
1536
1560
1600
1640
1672
1712
1752
1784
1824
1864
1896
1920
1952
2000
2048
2096
2096
2144
2192
2232
2232
2280
2328
2368
2432
2432
2496
2496
2560
2560
2624
2752
2752
2752
2752
2816
2816
2880
2880
696
752
800
872
912
960
1024
1072
1136
1184
1248
1280
1336
1392
1448
1504
1560
1600
1672
1712
1784
1824
1864
1920
2000
2048
2096
2144
2192
2280
2328
2368
2432
2496
2560
2560
2624
2752
2752
2816
2880
2880
2944
3008
3072
3200
3200
3200
3264
3328
3392
3456
3520
3520
3648
3648
3712
3776
3840
3840
3904
3968
4096
4096
4160
4160
4224
4288
1000
1072
1160
1216
1312
1368
1448
1536
1600
1672
1752
1824
1896
2000
2048
2144
2232
2280
2368
2432
2560
2624
2752
2752
2816
2880
3008
3072
3200
3200
3264
3392
3456
3520
3648
3648
3712
3840
3904
3968
4096
4096
4224
4288
4352
4416
4544
4608
4672
4736
4800
4864
4992
5120
5120
5248
5248
5504
5504
5504
5632
5632
5760
5760
5888
6016
6016
6144
1336
1424
1536
1640
1752
1824
1952
2048
2144
2232
2368
2432
2560
2752
2752
2880
2944
3072
3200
3264
3392
3456
3648
3648
3776
3904
3968
4096
4160
4288
4416
4544
4608
4672
4800
4864
4992
5120
5248
5504
5504
5504
5632
5760
5888
5888
6016
6144
6400
6400
6400
6528
6656
6784
6784
6912
7040
7296
7296
7296
7424
7552
7680
7808
7808
7936
8192
8192
1672
1824
1952
2096
2192
2328
2496
2624
2752
2880
3008
3200
3264
3392
3520
3648
3776
3904
4096
4160
4288
4416
4544
4672
4800
4992
5120
5248
5504
5504
5632
5760
5888
6016
6144
6400
6400
6528
6656
6784
6912
7040
7296
7296
7424
7552
7680
7808
7936
8192
8192
8320
8448
8576
8704
8832
9088
9088
9216
9344
9472
9600
9792
9792
9984
10176
10176
10368
2000
2144
2328
2496
2624
2816
2944
3072
3264
3392
3520
3712
3840
4096
4160
4288
4544
4608
4800
4992
5120
5248
5504
5632
5760
5888
6016
6144
6400
6528
6656
6784
6912
7040
7296
7424
7552
7680
7808
8192
8192
8320
8448
8576
8832
9088
9088
9216
9344
9600
9792
9792
9984
10176
10368
10560
10560
10944
10944
11136
11328
11328
11520
11712
11904
12288
12288
12288
2496
2752
2880
3072
3264
3456
3648
3840
4096
4224
4416
4608
4800
4992
5248
5504
5632
5760
6016
6144
6400
6528
6784
6912
7296
7296
7552
7680
7936
8192
8320
8448
8704
8832
9088
9216
9472
9600
9792
9984
10176
10368
10560
10944
10944
11136
11328
11520
11712
11904
12288
12288
12480
12672
12864
13056
13248
13632
13632
13824
14016
14208
14400
14592
14848
15104
15360
15360
8
3072
3264
3520
3776
3968
4224
4544
4672
4992
5120
5504
5632
5888
6144
6400
6528
6784
7040
7296
7552
7680
7936
8192
8448
8704
9088
9088
9344
9600
9792
10176
10368
10560
10944
10944
11328
11520
11712
11904
12288
12480
12672
12864
13056
13632
13632
13824
14016
14208
14592
14848
15104
15360
15360
15616
15872
16384
16384
16640
16896
17152
17408
17664
18176
18176
18176
18432
18688
3648
3904
4160
4416
4736
4992
5248
5632
5888
6144
6400
6656
6912
7296
7552
7808
8192
8320
8576
8832
9216
9472
9792
9984
10368
10560
10944
11136
11328
11712
11904
12288
12480
12864
13056
13248
13632
13824
14208
14400
14848
15104
15360
15616
15872
16384
16384
16640
16896
17152
17408
17664
18176
18432
18688
18944
19200
19520
19840
20480
20480
20480
20800
21120
21440
21760
22080
22080
3968
4288
4608
4864
5248
5504
5888
6144
6400
6784
7040
7296
7680
7936
8320
8576
8832
9216
9472
9792
10176
10368
10944
10944
11328
11712
11904
12288
12480
12864
13248
13632
13824
14016
14400
14592
15104
15360
15616
15872
16384
16640
16896
17152
17408
17664
18176
18432
18688
18944
19200
19520
19840
20480
20480
20800
21120
21440
21760
22080
22720
22720
23040
23360
23680
24000
24000
24576
4608
4992
5504
5760
6016
6400
6784
7296
7424
7808
8192
8576
8832
9216
9600
9984
10368
10944
11136
11328
11712
12288
12480
12864
13248
13632
13824
14208
14592
14848
15360
15616
16384
16384
16640
17152
17408
17664
18176
18432
18944
19200
19520
19840
20480
20800
21120
21440
21760
22080
22720
22720
23040
23360
23680
24576
24576
24960
25344
25728
26112
26496
26496
27264
27264
27648
28032
28416
5504
5760
6144
6528
7040
7424
7808
8192
8576
9088
9472
9792
10368
10944
11136
11520
11904
12288
12672
13056
13632
14016
14400
14848
15104
15616
16384
16384
16896
17152
17664
18176
18432
18944
19200
19840
20480
20480
20800
21440
21760
22080
22720
23040
23360
23680
24576
24576
24960
25344
25728
26112
26496
27264
27648
28032
28416
28800
29120
29568
30016
30464
30912
31808
31808
31808
32256
32704
6016
6528
7040
7424
7936
8320
8832
9344
9792
10176
10944
11136
11712
12288
12480
13056
13632
14016
14400
14848
15360
15872
16384
16640
17152
17664
18176
18688
18944
19520
19840
20480
20800
21440
21760
22720
22720
23360
23680
24000
24576
24960
25728
26112
26496
27264
27264
28032
28416
28800
29120
29568
30016
30464
30912
31808
32256
32704
33152
33600
33792
34304
34816
35328
36352
36352
36864
37376
6656
7296
7680
8192
8704
9216
9792
10176
10944
11328
11712
12288
12672
13248
13824
14208
14848
15360
15872
16384
16896
17408
18176
18432
18944
19520
19840
20480
20800
21440
22080
22720
23040
23360
24000
24576
24960
25344
26112
26496
27264
27648
28032
28416
29120
29568
30016
30464
30912
31808
32256
32704
33152
33600
34304
34816
35328
36352
36352
36864
37376
37888
38400
38592
39168
39744
40896
40896
-8-
7040
7552
8192
8576
9088
9600
10176
10944
11328
11904
12288
12864
13632
14016
14400
15104
15616
16384
16640
17152
17664
18176
18688
19200
19840
20480
20800
21440
22080
22720
23040
23680
24000
24576
25344
25728
26496
27264
27264
28032
28416
28800
29568
30016
30464
31808
31808
32256
32704
33152
33600
34304
34816
35328
36352
36352
36864
37376
37888
38400
39168
39744
40896
40896
41472
42048
42624
43200
IEEE C802.16m-09/0675r1
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
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104
105
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108
109
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111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
1896
1920
1952
2000
2000
2000
2048
2048
2096
2096
2144
2144
2192
2192
2232
2232
2280
2280
2328
2328
2368
2432
2432
2432
2496
2496
2496
2560
2560
2560
2624
2624
2752
2752
2752
2752
2752
2752
2816
2816
2816
2880
2880
2944
2944
2944
3008
3008
3008
3072
3072
3072
3200
3200
3200
3200
3200
3264
3264
3264
3328
3328
3328
3392
3392
3456
3456
3456
2944
3008
3008
3072
3072
3200
3200
3200
3264
3264
3328
3328
3392
3392
3456
3456
3520
3648
3648
3648
3648
3712
3712
3776
3840
3840
3904
3904
3968
3968
4096
4096
4096
4160
4160
4224
4224
4288
4288
4352
4416
4416
4544
4544
4544
4544
4608
4608
4672
4736
4736
4800
4800
4864
4864
4992
4992
4992
5120
5120
5120
5120
5248
5248
5248
5504
5504
5504
4352
4416
4544
4544
4544
4608
4672
4736
4800
4800
4864
4992
4992
5120
5120
5120
5248
5248
5504
5504
5504
5504
5504
5632
5632
5760
5760
5760
5888
5888
6016
6016
6144
6144
6144
6400
6400
6400
6400
6400
6528
6528
6656
6656
6784
6784
6784
6912
6912
7040
7040
7040
7296
7296
7296
7296
7296
7424
7424
7552
7552
7680
7680
7680
7808
7808
7936
7936
6144
6400
6400
6400
6528
6528
6656
6784
6784
6912
6912
7040
7296
7296
7296
7296
7424
7424
7552
7680
7680
7808
7808
7936
8192
8192
8192
8192
8320
8448
8448
8576
8576
8704
8832
8832
9088
9088
9088
9216
9216
9344
9344
9472
9472
9600
9792
9792
9792
9984
9984
10176
10176
10176
10368
10368
10560
10560
10560
10944
10944
10944
10944
10944
11136
11136
11136
11328
8320
8320
8448
8576
8704
8832
8832
9088
9088
9216
9216
9344
9472
9600
9792
9792
9984
9984
10176
10176
10368
10368
10560
10560
10944
10944
10944
10944
11136
11328
11328
11520
11520
11712
11712
11904
11904
12288
12288
12288
12288
12480
12480
12672
12672
12864
12864
13056
13248
13248
13632
13632
13632
13632
13824
13824
14016
14016
14208
14208
14400
14400
14592
14592
14848
14848
15104
15104
10560
10560
10944
10944
10944
11136
11328
11328
11520
11712
11712
11904
12288
12288
12288
12480
12480
12672
12864
12864
13056
13248
13248
13632
13632
13632
13824
14016
14016
14208
14400
14400
14592
14848
14848
15104
15104
15360
15360
15616
15616
15872
15872
16384
16384
16384
16384
16640
16640
16896
16896
17152
17152
17408
17408
17664
17664
18176
18176
18176
18176
18432
18432
18688
18688
18944
18944
19200
12480
12672
12864
12864
13056
13248
13632
13632
13632
13824
14016
14208
14400
14400
14592
14848
14848
15104
15360
15360
15616
15616
15872
16384
16384
16384
16384
16640
16896
16896
17152
17152
17408
17664
17664
18176
18176
18176
18432
18432
18688
18688
18944
19200
19200
19520
19520
19840
19840
20480
20480
20480
20480
20800
20800
21120
21120
21120
21440
21440
21760
21760
22080
22080
22720
22720
22720
22720
15616
15872
16384
16384
16384
16640
16896
16896
17152
17408
17664
17664
18176
18176
18432
18432
18688
18944
19200
19200
19520
19840
19840
20480
20480
20480
20800
20800
21120
21120
21440
21760
21760
22080
22080
22720
22720
22720
23040
23040
23360
23680
23680
24000
24000
24576
24576
24576
24960
24960
25344
25344
25728
25728
26112
26112
26496
26496
27264
27264
27264
27264
27648
27648
28032
28032
28416
28416
9
18944
19200
19520
19840
19840
20480
20480
20480
20800
21120
21440
21440
21760
22080
22720
22720
22720
23040
23040
23360
23680
24000
24000
24576
24576
24960
24960
25344
25344
25728
26112
26112
26496
27264
27264
27264
27264
27648
28032
28032
28416
28416
28800
29120
29120
29568
29568
30016
30016
30464
30464
30912
31808
31808
31808
31808
32256
32256
32704
32704
33152
33152
33600
33600
33792
34304
34304
34816
22720
22720
23040
23360
23680
24000
24576
24576
24576
24960
25344
25728
25728
26112
26496
26496
27264
27264
27648
27648
28032
28416
28800
28800
29120
29568
29568
30016
30464
30464
30912
30912
31808
31808
31808
32256
32704
32704
33152
33152
33600
33792
34304
34304
34816
34816
35328
35328
36352
36352
36352
36864
36864
37376
37376
37888
37888
38400
38400
39168
39168
39744
39744
39744
40896
40896
40896
40896
24960
24960
25344
25728
26112
26496
26496
27264
27264
27648
27648
28032
28416
28800
29120
29568
29568
30016
30464
30464
30912
31808
31808
31808
32256
32256
32704
33152
33152
33600
33792
34304
34816
34816
35328
35328
36352
36352
36352
36864
36864
37376
37376
37888
38400
38400
38592
39168
39744
39744
40896
40896
40896
40896
41472
41472
42048
42048
42624
42624
43200
43200
43520
44160
44160
45440
45440
45440
28800
29120
29568
30016
30464
30464
30912
31808
31808
31808
32256
32704
33152
33600
33600
34304
34304
34816
35328
35328
36352
36352
36864
36864
37376
37888
37888
38400
38592
39168
39744
39744
40896
40896
40896
41472
41472
42048
42048
42624
43200
43200
43520
44160
44160
45440
45440
45440
46080
46080
46720
46720
47360
47360
48000
48576
48576
49984
49984
49984
49984
50688
50688
51392
51392
52096
52096
52800
33152
33600
34304
34304
34816
35328
36352
36352
36352
36864
37376
37888
37888
38400
39168
39168
39744
40896
40896
40896
41472
42048
42048
42624
43200
43200
44160
44160
45440
45440
45440
46080
46080
46720
47360
47360
48000
48576
48576
49984
49984
49984
50688
50688
51392
51392
52096
52800
52800
52992
54528
54528
54528
55296
55296
56064
56064
56832
56832
57600
57600
59072
59072
59072
59072
59904
59904
60736
37376
37888
38400
39168
39744
39744
40896
40896
41472
42048
42048
42624
43200
43520
44160
45440
45440
45440
46080
46720
46720
47360
48000
48000
48576
49984
49984
49984
50688
51392
51392
52096
52800
52800
54528
54528
54528
54528
55296
56064
56064
56832
56832
57600
59072
59072
59072
59072
59904
60736
60736
61568
61568
62400
62400
63616
63616
64512
64512
65408
65408
66304
66304
67200
67200
68160
68160
69120
41472
42048
42048
42624
43200
44160
44160
45440
45440
46080
46080
46720
47360
48000
48576
49984
49984
49984
50688
50688
51392
52096
52800
52800
54528
54528
54528
55296
55296
56064
56832
56832
57600
59072
59072
59072
59904
59904
60736
61568
61568
62400
62400
63616
63616
64512
64512
65408
65408
66304
67200
67200
68160
68160
69120
69120
70080
70080
71040
71040
72000
72000
72704
73728
73728
74752
74752
75776
-9-
43200
44160
45440
45440
45440
46080
46720
47360
48000
48000
48576
49984
49984
50688
50688
51392
52096
52800
52800
54528
54528
54528
55296
56064
56064
56832
57600
57600
59072
59072
59904
59904
60736
61568
61568
62400
62400
63616
63616
64512
65408
65408
66304
66304
67200
67200
68160
69120
69120
70080
70080
71040
71040
72000
72000
72704
73728
73728
74752
74752
75776
75776
76800
76800
78336
78336
79424
79424
IEEE C802.16m-09/0675r1
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
3520
3520
3520
3648
3648
3648
3648
3648
3712
3712
3712
3776
3776
3776
3840
3840
3840
3904
3904
3968
3968
3968
4096
4096
4096
4096
4096
4096
4160
4160
4224
4224
4224
4288
4288
4288
4352
4352
4352
4416
4416
4544
4544
4544
5504
5504
5504
5504
5632
5632
5632
5632
5760
5760
5760
5760
5888
5888
5888
6016
6016
6016
6016
6144
6144
6144
6400
6400
6400
6400
6400
6400
6400
6528
6528
6528
6528
6656
6656
6656
6784
6784
6784
6784
6912
6912
6912
6912
7936
8192
8192
8192
8192
8320
8320
8320
8448
8448
8576
8576
8576
8704
8704
8832
8832
9088
9088
9088
9088
9088
9216
9216
9216
9344
9344
9472
9472
9600
9600
9600
9792
9792
9792
9984
9984
9984
9984
10176
10176
10176
10176
10368
11328
11520
11520
11520
11712
11712
11904
11904
11904
12288
12288
12288
12288
12288
12480
12480
12672
12672
12672
12864
12864
13056
13056
13056
13248
13248
13632
13632
13632
13632
13632
13824
13824
13824
14016
14016
14016
14208
14208
14400
14400
14400
14592
14592
15104
15360
15360
15616
15616
15616
15872
15872
16384
16384
16384
16384
16384
16640
16640
16640
16896
16896
17152
17152
17152
17408
17408
17664
17664
17664
18176
18176
18176
18176
18176
18432
18432
18432
18688
18688
18944
18944
18944
19200
19200
19520
19520
19520
19200
19520
19520
19520
19840
19840
20480
20480
20480
20480
20480
20800
20800
20800
21120
21120
21440
21440
21440
21760
21760
22080
22080
22080
22720
22720
22720
22720
22720
23040
23040
23360
23360
23360
23680
23680
24000
24000
24000
24576
24576
24576
24576
24960
23040
23040
23360
23360
23680
23680
24000
24000
24576
24576
24576
24576
24960
24960
24960
25344
25344
25728
25728
25728
26112
26112
26496
26496
26496
27264
27264
27264
27264
27264
27648
27648
28032
28032
28032
28416
28416
28800
28800
28800
29120
29120
29568
29568
28800
28800
29120
29568
29568
29568
30016
30016
30464
30464
30912
30912
30912
31808
31808
31808
31808
32256
32256
32256
32704
32704
33152
33152
33600
33600
33600
33792
34304
34304
34816
34816
34816
35328
35328
35328
36352
36352
36352
36352
36352
36864
36864
36864
34816
35328
35328
36352
36352
36352
36352
36352
36864
36864
37376
37376
37888
37888
38400
38400
38400
39168
39168
39168
39744
39744
40896
40896
40896
40896
40896
41472
41472
41472
42048
42048
42624
42624
42624
43200
43200
43520
43520
44160
44160
45440
45440
45440
41472
41472
42048
42048
42624
42624
43200
43200
43520
44160
44160
44160
45440
45440
45440
45440
46080
46080
46720
46720
46720
47360
47360
48000
48000
48576
48576
48576
49984
49984
49984
49984
49984
50688
50688
51392
51392
51392
52096
52096
52800
52800
52800
52992
45440
46080
46080
46720
46720
47360
47360
48000
48000
48000
48576
49984
49984
49984
49984
49984
50688
50688
51392
51392
51392
52096
52096
52800
52800
52992
54528
54528
54528
54528
54528
55296
55296
55296
56064
56064
56832
56832
56832
57600
57600
59072
59072
59072
52800
52992
54528
54528
54528
54528
55296
55296
56064
56064
56832
56832
57600
57600
57600
59072
59072
59072
59072
59904
59904
60736
60736
61568
61568
61568
62400
62400
63616
63616
63616
63616
64512
64512
65408
65408
65408
66304
66304
67200
67200
67200
68160
68160
60736
61568
61568
62400
62400
63616
63616
63616
64512
64512
65408
65408
66304
66304
67200
67200
67200
68160
68160
69120
69120
70080
70080
70080
71040
71040
72000
72000
72704
72704
73728
73728
73728
74752
74752
75776
75776
75776
76800
76800
77248
78336
78336
78336
69120
70080
70080
71040
71040
71040
72000
72000
72704
73728
73728
74752
74752
74752
75776
75776
76800
76800
77248
78336
78336
79424
79424
79424
80512
80512
81600
81600
81792
82944
82944
84096
84096
84096
85248
85248
86400
86400
86400
87552
87552
88768
88768
88768
75776
76800
76800
77248
78336
78336
79424
79424
80512
80512
80512
81600
81600
82944
82944
84096
84096
84096
85248
85248
86400
86400
87552
87552
88768
88768
88768
89984
89984
91200
91200
91200
92160
92160
93440
93440
94720
94720
94720
96000
96000
96768
96768
98112
80512
80512
81600
81600
81600
82944
82944
84096
84096
85248
85248
86400
86400
86400
87552
87552
88768
88768
89984
89984
91200
91200
91200
92160
93440
93440
93440
94720
94720
96000
96000
96000
96768
98112
98112
99456
99456
99456
100800
100800
100800
101376
102784
102784
Based on the information block sizes in Table 3 and Table 4 the padding overhead has been evaluated in the
following section.
4.1. Padding overhead
For the evaluation of padding overhead, we assume that scheduler will choose the number of RU’s which
indicate an information block size larger than the SDU size under the given MCS levels. Also, the padding bits
are required to fit the SDU size into the selected information block size.
In the following figures, the padding overhead of the usable information block sizes has been evaluated for each
MCS level. Also, the figures depict the padding overhead for the case that the information block sizes are larger
than 4800 bits in order to compare the two burst partition rules. Also, for the information block sizes less than
4800 bits, the padding overhead of both partition rules are the same since the proposed one uses the same
concept of the modified one.
10
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IEEE C802.16m-09/0675r1
Figure 1. Padding overhead of the usable information block sizes with MCS level of 1
Figure 2. Padding overhead of the usable information block sizes with MCS level of 2
11
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IEEE C802.16m-09/0675r1
Figure 3. Padding overhead of the usable information block sizes with MCS level of 3
Figure 4. Padding overhead of the usable information block sizes with MCS level of 4
12
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IEEE C802.16m-09/0675r1
Figure 5. Padding overhead of the usable information block sizes with MCS level of 5
Figure 6. Padding overhead of the usable information block sizes with MCS level of 6
13
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IEEE C802.16m-09/0675r1
Figure 7. Padding overhead of the usable information block sizes with MCS level of 7
Figure 8. Padding overhead of the usable information block sizes with MCS level of 8
14
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IEEE C802.16m-09/0675r1
Figure 9. Padding overhead of the usable information block sizes with MCS level of 9
Figure 10. Padding overhead of the usable information block sizes with MCS level of 10
15
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IEEE C802.16m-09/0675r1
Figure 11. Padding overhead of the usable information block sizes with MCS level of 11
Figure 12. Padding overhead of the usable information block sizes with MCS level of 12
16
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IEEE C802.16m-09/0675r1
Figure 13. Padding overhead of the usable information block sizes with MCS level of 13
Figure 14. Padding overhead of the usable information block sizes with MCS level of 14
17
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IEEE C802.16m-09/0675r1
Figure 15. Padding overhead of the usable information block sizes with MCS level of 15
5.
Conclusion
In this contribution, we have noticed the problem of the baseline burst partition rule. Also, we have introduced
two burst partition rules and compared them. According to the padding overhead comparison in the section 4.1,
the proposed burst partition rule would be better to be adopted in AWD.
6.
Reference
[1] IEEE 802.16m-08/003r7, “The Draft IEEE 802.16m System Description Document”
[2] IEEE C802.16m-09/0510, “Proposed Text of Channel Coding and HARQ for the IEEE 802.16m
Amendment”
[3] IEEE C802.16m-09/0314, “FEC block segmentation rule for IEEE 802.16m CTC”
7.
Proposed text input
Replace the section “15.x.1.3 Burst partition” of DG text proposal [2] with the following text.
------------------------------------------------------ Text Start ------------------------------------------------------
18
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IEEE C802.16m-09/0675r1
15.x.1.3.
Burst partition
15.x.1.3.1.
Information block size and number of FEC blocks
When the burst size including 16 burst CRC bits exceeds maximum FEC block size, NFB_MAX, the
burst is partitioned into KFB FEC blocks. The burst size NDB including burst CRC (and FEC block
CRC if NDB > NFB_MAX) is defined by the following equation.
If ( N mod  RFEC  N RE  N SM )  N FB_MAX,
N DB  arg min X  ( N mod  RFEC  N RE  N SM )
X { N FB }
Else ,
(N  R  N  N ) 
N DB   mod FEC RE SM   64
64


The value of KFB is calculated by the following equation.
 N DB 
K FB  

 N FB_MAX 
, where
Nmod
RFEC
NRE
NSM
NFB_MAX
{NFB}
is the modulation order of the burst transmission, which is specified by MCS index.
is the nominal code rate of the burst transmission, which is specified by MCS index.
is the number of resource elements allocated for burst transmission.
The calculation of NRE shall exclude the resource elements used by pilot channels.
is the spatial multiplexing order of the resource elements allocated for burst transmission.
The value of NSM depends on the MIMO transmission mode and is defined in section
x.x.x.x.
is the maximum FEC block size, which equals to 4800 bits.
is a set of NFB shown in Table 15.x.1-2.
The nominal MCS used in a data transmission shall be selected from Table 15.x.1-1.
Table 15.x.1-1. MCS table for downlink and uplink data channel
MCS index
Modulation
Code rate
‘0000’
QPSK
31/256
‘0001’
QPSK
47/256
‘0010’
QPSK
70/256
‘0011’
QPSK
98/256
‘0100’
QPSK
131/256
‘0101’
QPSK
166/256
‘0110’
QPSK
199/256
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IEEE C802.16m-09/0675r1
‘0111’
16QAM
123/256
‘1000’
16QAM
149/256
‘1001’
16QAM
176/256
‘1010’
16QAM
204/256
‘1011’
16QAM
229/256
‘1100’
64QAM
173/256
‘1101’
64QAM
196/256
‘1110’
64QAM
218/256
‘1111’
64QAM
234/256
The FEC block size NFB,i is calculated as follows, where i= 0… (KFB -1):
a) The base FEC block size NBase is calculated first
 N DB 
N Base  
  64
 K FB  64 
If N Base mod 7  0, N Base  N Base  64
b) The parameters α and k is specified.
128,
 64,
 
If ( N Base / 64) mod 7  6
Otherwise
 ( N  K FB  N Base ) 
k   DB



c) Initialize NFB,i , where i=0… (KFB -1)
 N   , If i  k
N FB, i   Base
 N Base , Otherwise
d) If ( N DB  K FB  N Base ) mod   64, Modify NFB,i
If k  0,
N FB,0  N FB,0  128 , N FB, (K FB -1)  N FB, (K FB -1)  64
Else,
N FB,0  N FB,0  64
Table 15.x.1-2. FEC block size table for downlink and uplink data channels
20
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IEEE C802.16m-09/0675r1
Index
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
NFB
48
64
72
80
88
96
104
120
128
136
144
152
160
176
184
192
200
208
216
232
240
248
256
264
272
288
296
304
312
320
Index
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
NFB
328
344
352
360
368
376
384
400
416
432
440
456
472
480
496
512
528
544
552
568
584
600
608
624
640
656
664
680
696
712
Index
NFB
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
720
736
752
768
776
800
824
848
872
888
912
936
960
984
1000
1024
1048
1072
1096
1112
1136
1160
1184
1216
1248
1280
1312
1336
1368
1392
Index
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
NFB
1424
1448
1480
1504
1536
1560
1600
1640
1672
1712
1752
1784
1824
1864
1896
1920
1952
2000
2048
2096
2144
2192
2232
2280
2328
2368
2432
2496
2560
2624
Index
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
NFB
2752
2816
2880
2944
3008
3072
3200
3264
3328
3392
3456
3520
3648
3712
3776
3840
3904
3968
4096
4160
4224
4288
4352
4416
4544
4608
4672
4736
4800
The payload size excluding burst CRC and FEC block CRC is defined by the following equation:
NPL = NDB – (IMFB×NFB-CRC) – NDB-CRC
, where
IMFB
equals 0 when KFB =1, KFB when KFB >1,
NFB-CRC equals 16, which is the size of FEC block CRC,
NDB-CRC equals 16, which is the size of burst CRC.
------------------------------------------------------ Text End ------------------------------------------------------
21
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