Evaluation of Proposed Sounding Sequence for IEEE 802.16m Amendment Working Document
IEEE 802.16 Presentation Submission Template (Rev. 9)
Document Number:
IEEE S80216m-0849
Date Submitted:
2009-04-27
Source: KeunChul Hwang, Jing Li, Seungwon Kang, Inseok Hwang, Soon Young Yoon
Samsung Electronics
keunchul.hwang@samsung.com
Venue: IEEE 802.16m Session#61, Cairo, Egypt
Base Contributions: IEEE C80216m-0849
Re:
Call for Contributions on Project 802.16m Amendment Working Document (AWD) Content
Purpose:
To discuss and adopt in TGm
Notice:
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.
Release:
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.
Patent Policy:
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 >.
Motivation
• In current AWD text(80216m-09_0010r1a), sounding
sequence is not defined.
• New sounding sequence is proposed, and performance is
compared with 16e sounding sequence.
Summary
• Proposed sequence provides better performance than 16e sounding
sequence
16e
Proposed
Gain
PAPR
5dB ~ 7dB
3dB ~ 7dB
0dB ~ 4dB*
Probability of zero
correlation
40%
85%
45%*
Sounding SNR
5dB ~ 6dB
6dB~10dB
1dB ~ 4dB*
* Performance gain depends on sounding loading size and
channel.
Proposed Sounding Sequence (1/2)
• Overall Sounding Sequence
– Composed of short sounding seq. and long covering seq.
• Short seq.: reduce interferences with orthogonal property
• Long covering seq.: reduce PAPR
0
1
2
…
P-1
0
1
2
…
P-1
Long Covering Seq.
0
1
2
3
…
…
…
…
…
…
Sounding Seq.
0
1
2
3
…
…
…
…
…
…
…
…
…
…
…
0
1
…
…
…
…
…
…
…
861 862 863
…
…
…
…
…
861 862 863

2
…
P-1

Short Seq.
…
…
• Short Sequence
– Construct P Base Short Sequence with Length P
– Obtain P2 Short Sequences with Cyclic Shift
0
1
2
3
…
…
…
…
…
…
…
…
…
…
…
P-1
Cyclic Shift
1
2
3
…
…
…
…
…
…
…
…
…
…
…
P-1
0
1
2
3
…
…
…
…
…
…
…
…
…
…
…
P-1
0
1
2
3
…
…
…
…
…
…
…
…
…
…
P-1
…
0
…
Proposed Sounding Sequence (2/2)
•
Proposed Sequence for CDM
•

exp   j   m ((k  n) mod P)   f  k 
bk  
Short Seq.
0
Proposed Sequence for FDM
Cyclic Shift
Long Covering Seq.

exp   j m (k mod D)   f  k 
bk  
0
•
N used  1
2
otherwise
k  B, and k 
k  B, k 
N used  1
, and k mod D  g
2
otherwise
Long Covering Sequence.
Offset
    (k  d ) mod NG  (k  1  d ) mod NG  
f (k )  exp   j

N
G


•
Short Sequence
cm (k )  exp( j m ((k  n) mod P)), where m (k ) is shown in C802.16m-09_0849
Performance: PAPR
• Proposed sequence provides lower mean PAPR and smaller
variance than 16e
<CDM>
<FDM>
CDF of PAPR [dB] (D = 9, Loading Size : 864 tones)
1
1
0.9
0.9
0.8
0.8
Probability (PAPR [dB] < X)
Probability ( PAPR[dB] < X)
CDF of PAPR [dB] ( P = 9, Loading size : 864 tones )
0.7
0.6
2.5dB
0.5
0.4
0.3
0.2
0.6
3.2dB
0.5
0.4
0.3
0.2
16e
16m, offset 0
0.1
0
0.7
2
3
4
5
6
PAPR [dB]
7
8
9
16e
16m
0.1
10
0
2
3
4
5
6
7
8
PAPR [dB]
9
10
11
12
13
Performance: Cross Correlation
• Proposed sequence shows better correlation property (higher
zero correlation) than 16e
<16e>
<Proposed>
Cross Correlation of Proposed Sequence, P = 18
100
90
90
80
80
70
70
60
60
pdf (%)
pdf (%)
Cross Correlation of 16e Sequence, P = 18
100
50
50
40
40
30
30
20
20
10
10
0
0
0.1
0.2
0.3
0.4 0.5 0.6
Correlation
0.7
0.8
0.9
1
0
0
0.1
0.2
0.3
0.4 0.5 0.6
Correlation
0.7
0.8
0.9
1
Performance: Sounding SNR
• Proposed sequence provides better sounding SNR than 16e
• Sounding SNR Gain (19cell, 3sector, SLS Results)
P=9 NLOS
P=9 LOS
3
4.5
one band
18tones
one band
18tones
full band
full band
4
2.5
3.5
3
SINR gain (dB)
SINR gain (dB)
2
1.5
1
2.5
2
1.5
1
0.5
0.5
0
1
4
6
9
1
4
6
9
No. of users per sector
1
4
6
9
0
1
4
6
9
9
6
4
1
No. of users per sector
1
4
6
9
Proposed Remedy
•
Adopt the proposed text in C80216m-09_0849 to line 60, page 118 (section
15.3.9.2.3.1. in 80216m-09_0010r1a)
Appendix
Simulation Results
Appendix:
PAPR Comparison
• PAPR Simulation Condition
Parameter
Value
FFT Size
1024
Number of DC subcarrier
1
Number of guard subcarriers, left
80
Number of guard subcarriers, right
79
Number of usable subcarriers ( = Nused)
(including DC subcarrier)
865
Number of frequency bands
12
Number of subcarriers in a frequency bands
72
Number of sounding frequency bands
12
Number of subcarriers in a sounding frequency band
72
※ Considered all possible sub-band allocation and all possible sounding
sequence (16e: 127 u values, proposed : P^2 sequences)
Appendix:
PAPR Comparison: CDM
• PAPR mean of proposed seq.: 0.3 ~ 1.6dB lower than 16e
• PAPR variance of proposed seq.: -0.1 ~0.4dB lower than 16e
P=4
# of Subband
Mean PAPR
Variance of PAPR
Proposed
16e
Gain
Proposed
16e
Gain
1
3.8171 dB
4.9537 dB
1.1366 dB
0.1882 dB
0.4725 dB
0.2843 dB
2
5.6107 dB
6.3615 dB
0.7508 dB
0.4731 dB
0.8481 dB
0.3750 dB
3
6.3966 dB
6.8050 dB
0.4084 dB
0.4602 dB
0.7820 dB
0.3218 dB
4
6.6167 dB
6.9477 dB
0.3310 dB
0.6555 dB
0.8001 dB
0.1446 dB
5
6.6026 dB
6.9494 dB
0.3468 dB
0.7552 dB
0.7985 dB
0.0433 dB
6
6.5292 dB
6.8508 dB
0.3216 dB
0.7461 dB
0.8012 dB
0.0551 dB
7
6.3594 dB
6.6950 dB
0.3356 dB
0.7935 dB
0.7840 dB
- 0.0095 dB
8
6.1103 dB
6.4994 dB
0.3891 dB
0.7755 dB
0.7470 dB
- 0.0285 dB
9
5.8010 dB
6.2614 dB
0.4604 dB
0.7297 dB
0.6938 dB
- 0.0359 dB
10
5.3575 dB
5.9482 dB
0.5907 dB
0.6729 dB
0.6196 dB
- 0.0533 dB
11
4.6513 dB
5.5905 dB
0.9392 dB
0.6451 dB
0.4562 dB
- 0.1889 dB
12
3.4766 dB
5.0771 dB
1.6005 dB
0.2527 dB
0.2802 dB
0.0275 dB
Appendix:
PAPR Comparison: CDM
• PAPR mean of proposed seq.: 0.3 ~ 1.5dB lower than 16e
• PAPR variance of proposed seq.: -0.1 ~0.4dB lower than 16e
P=8
# of Subband
Mean PAPR
Variance of PAPR
Proposed
16e
Gain
Proposed
16e
Gain
1
3.8614 dB
4.9537 dB
1.0923 dB
0.1561 dB
0.4725 dB
0.3164 dB
2
5.6279 dB
6.3615 dB
0.7336 dB
0.4335 dB
0.8481 dB
0.4146 dB
3
6.3408 dB
6.8050 dB
0.4642 dB
0.4757 dB
0.7820 dB
0.3063 dB
4
6.6140 dB
6.9477 dB
0.3337 dB
0.6584 dB
0.8001 dB
0.1417 dB
5
6.6335 dB
6.9494 dB
0.3159 dB
0.7332 dB
0.7985 dB
0.0653 dB
6
6.5615 dB
6.8508 dB
0.2893 dB
0.7464 dB
0.8012 dB
0.0548 dB
7
6.4045 dB
6.6950 dB
0.2905 dB
0.7925 dB
0.7840 dB
- 0.0085 dB
8
6.1469 dB
6.4994 dB
0.3525 dB
0.7783 dB
0.7470 dB
- 0.0313 dB
9
5.8410 dB
6.2614 dB
0.4204 dB
0.7141 dB
0.6938 dB
- 0.0203 dB
10
5.3788 dB
5.9482 dB
0.5694 dB
0.7199 dB
0.6196 dB
- 0.1003 dB
11
4.7015 dB
5.5905 dB
0.8890 dB
0.5279 dB
0.4562 dB
- 0.0717 dB
12
3.6053 dB
5.0771 dB
1.4718 dB
0.3933 dB
0.2802 dB
- 0.1131 dB
Appendix:
PAPR Comparison: CDM
• PAPR mean of proposed seq.: -0.1 ~ 3.9dB lower than 16e
• PAPR variance of proposed seq.: -0.2 ~0.6dB lower than 16e
P=9
# of Subband
Mean PAPR
Variance of PAPR
Proposed
16e
Gain
Proposed
16e
Gain
1
4.4754 dB
4.9553 dB
0.4799 dB
0.3303 dB
0.4723 dB
0.1420 dB
2
6.1121 dB
6.3486 dB
0.2365 dB
0.5771 dB
0.8191 dB
0.2420 dB
3
6.8410 dB
6.8054 dB
-0.0356 dB
0.7695 dB
0.7322 dB
-0.0373 dB
4
7.0081 dB
6.9532 dB
-0.0549 dB
0.9037 dB
0.7415 dB
-0.1622 dB
5
7.0623 dB
6.9676 dB
-0.0947 dB
0.8252 dB
0.7344 dB
-0.0908 dB
6
3.0199 dB
6.8959 dB
3.8760 dB
0.0845 dB
0.7292 dB
0.6447 dB
7
6.7448 dB
6.7726 dB
0.0278 dB
0.8576 dB
0.7135 dB
-0.1441 dB
8
6.4262 dB
6.6127 dB
0.1865 dB
0.8681 dB
0.6800 dB
-0.1881 dB
9
5.9557 dB
6.4131 dB
0.4574 dB
0.8095 dB
0.6344 dB
-0.1751 dB
10
5.3461 dB
6.1633 dB
0.8172 dB
0.7904 dB
0.5761 dB
-0.2143 dB
11
4.5986 dB
5.8563 dB
1.2577 dB
0.6809 dB
0.5111 dB
-0.1698 dB
12
3.0199 dB
5.5313 dB
2.5114 dB
0.0845 dB
0.3254 dB
0.2409 dB
Appendix:
PAPR Comparison: CDM
• PAPR mean of proposed seq.: 0.2 ~ 1.4dB lower than 16e
• PAPR variance of proposed seq.: -0.1 ~0.4dB lower than 16e
P = 16
# of Subband
Mean PAPR
Variance of PAPR
Proposed
16e
Gain
Proposed
16e
Gain
1
3.8505 dB
4.9537 dB
1.1032 dB
0.1944 dB
0.4725 dB
0.2781 dB
2
5.6265 dB
6.3615 dB
0.7350 dB
0.4217 dB
0.8481 dB
0.4264 dB
3
6.4277 dB
6.8050 dB
0.3773 dB
0.4374 dB
0.7820 dB
0.3446 dB
4
6.6755 dB
6.9477 dB
0.2722 dB
0.6590 dB
0.8001 dB
0.1411 dB
5
6.6780 dB
6.9494 dB
0.2714 dB
0.7561 dB
0.7985 dB
0.0424 dB
6
6.6126 dB
6.8508 dB
0.2382 dB
0.7717 dB
0.8012 dB
0.0295 dB
7
6.4547 dB
6.6950 dB
0.2403 dB
0.8131 dB
0.7840 dB
-0.0291 dB
8
6.2238 dB
6.4994 dB
0.2756 dB
0.7861 dB
0.7470 dB
-0.0391 dB
9
5.9328 dB
6.2614 dB
0.3286 dB
0.7476 dB
0.6938 dB
-0.0538 dB
10
5.4622 dB
5.9482 dB
0.4860 dB
0.7231 dB
0.6196 dB
-0.1035 dB
11
4.8086 dB
5.5905 dB
0.7819 dB
0.5884 dB
0.4562 dB
-0.1322 dB
12
3.6896 dB
5.0771 dB
1.3875 dB
0.1696 dB
0.2802 dB
0.1106 dB
Appendix:
PAPR Comparison: CDM
• PAPR mean of proposed seq.: 0.1 ~ 0.6dB lower than 16e
• PAPR variance of proposed seq.: -0.1 ~0.0dB lower than 16e
P = 18
# of Subband
Mean PAPR
Variance of PAPR
Proposed
16e
Gain
Proposed
16e
Gain
1
4.6965 dB
4.9553 dB
0.2588 dB
1.0296 dB
0.4723 dB
-0.5573 dB
2
5.7514 dB
6.3486 dB
0.5972 dB
0.8208 dB
0.8191 dB
-0.0017 dB
3
6.2693 dB
6.8054 dB
0.5361 dB
0.7325 dB
0.7322 dB
-0.0003 dB
4
6.5074 dB
6.9532 dB
0.4458 dB
0.6863 dB
0.7415 dB
0.0552 dB
5
6.6049 dB
6.9676 dB
0.3627 dB
0.6728 dB
0.7344 dB
0.0616 dB
6
6.5868 dB
6.8959 dB
0.3091 dB
0.7197 dB
0.7292 dB
0.0095 dB
7
6.5055 dB
6.7726 dB
0.2671 dB
0.7339 dB
0.7135 dB
-0.0204 dB
8
6.3909 dB
6.6127 dB
0.2218 dB
0.7243 dB
0.6800 dB
-0.0443 dB
9
6.2270 dB
6.4131 dB
0.1861 dB
0.6958 dB
0.6344 dB
-0.0614 dB
10
6.0083 dB
6.1633 dB
0.1550 dB
0.6662 dB
0.5761 dB
-0.0901 dB
11
5.7192 dB
5.8563 dB
0.1371 dB
0.5924 dB
0.5111 dB
-0.0813 dB
12
5.3005 dB
5.5313 dB
0.2308 dB
0.3193 dB
0.3254 dB
0.0061 dB
Appendix:
PAPR Comparison: CDM
• PAPR mean of proposed seq.: 0.3 ~ 1.6dB lower than 16e
• PAPR variance of proposed seq.: -0.2 ~0.3dB lower than 16e
P = 32
# of Subband
Mean PAPR
Variance of PAPR
Proposed
16e
Gain
Proposed
16e
Gain
1
4.1542 dB
4.9537 dB
0.7995 dB
0.2945 dB
0.4725 dB
0.1780 dB
2
5.6766 dB
6.3615 dB
0.6849 dB
0.5012 dB
0.8481 dB
0.3469 dB
3
6.3775 dB
6.8050 dB
0.4275 dB
0.4424 dB
0.7820 dB
0.3396 dB
4
6.6159 dB
6.9477 dB
0.3318 dB
0.6186 dB
0.8001 dB
0.1815 dB
5
6.6288 dB
6.9494 dB
0.3206 dB
0.6952 dB
0.7985 dB
0.1033 dB
6
6.5384 dB
6.8508 dB
0.3124 dB
0.7156 dB
0.8012 dB
0.0856 dB
7
6.3685 dB
6.6950 dB
0.3265 dB
0.7725 dB
0.7840 dB
0.0115 dB
8
6.1189 dB
6.4994 dB
0.3805 dB
0.7663 dB
0.7470 dB
-0.0193 dB
9
5.8049 dB
6.2614 dB
0.4565 dB
0.7271 dB
0.6938 dB
-0.0333 dB
10
5.3402 dB
5.9482 dB
0.6080 dB
0.7178 dB
0.6196 dB
-0.0982 dB
11
4.6543 dB
5.5905 dB
0.9362 dB
0.6075 dB
0.4562 dB
-0.1513 dB
12
3.4727 dB
5.0771 dB
1.6044 dB
0.2640 dB
0.2802 dB
0.0162 dB
Appendix:
PAPR Comparison: CDM
CDF of PAPR [dB] ( P = 4, Loading size : 864 tones )
1
0.9
0.9
0.8
0.8
Probability ( PAPR[dB] < X)
Probability ( PAPR[dB] < X)
CDF of PAPR [dB] ( P = 4, Loading size : 72 tones )
1
0.7
0.6
0.5
0.4
0.3
0.2
0.6
0.5
0.4
0.3
0.2
16e
16m, offset 0
0.1
0
0.7
2
3
4
5
6
PAPR [dB]
7
8
9
16e
16m, offset 0
0.1
0
10
2
3
1
0.9
0.9
0.8
0.8
0.7
0.6
0.5
0.4
0.3
0.2
6
PAPR [dB]
7
8
9
10
0.7
0.6
0.5
0.4
0.3
0.2
16e
16m, offset 0
0.1
0
5
CDF of PAPR [dB] ( P = 8, Loading size : 864 tones )
1
Probability ( PAPR[dB] < X)
Probability ( PAPR[dB] < X)
CDF of PAPR [dB] ( P = 8, Loading size : 72 tones )
4
2
3
4
5
6
PAPR [dB]
7
8
9
16e
16m, offset 0
0.1
10
0
2
3
4
5
6
PAPR [dB]
7
8
9
10
Appendix:
PAPR Comparison: CDM
CDF of PAPR [dB] ( P = 9, Loading size : 864 tones )
1
0.9
0.9
0.8
0.8
Probability ( PAPR[dB] < X)
Probability ( PAPR[dB] < X)
CDF of PAPR [dB] ( P = 9, Loading size : 72 tones )
1
0.7
0.6
0.5
0.4
0.3
0.2
0.6
0.5
0.4
0.3
0.2
16e
16m, offset 0
0.1
0
0.7
2
3
4
5
6
PAPR [dB]
7
8
9
16e
16m, offset 0
0.1
0
10
2
1
0.9
0.9
0.8
0.8
0.7
0.6
0.5
0.4
0.3
0.2
5
6
PAPR [dB]
7
8
9
10
0.7
0.6
0.5
0.4
0.3
0.2
16e
16m, offset 0
0.1
0
4
CDF of PAPR [dB] ( P = 16, Loading size : 864 tones )
1
Probability ( PAPR[dB] < X)
Probability ( PAPR[dB] < X)
CDF of PAPR [dB] ( P = 16, Loading size : 72 tones )
3
2
3
4
5
6
PAPR [dB]
7
8
9
16e
16m, offset 0
0.1
10
0
2
3
4
5
6
PAPR [dB]
7
8
9
10
Appendix:
PAPR Comparison: CDM
CDF of PAPR [dB] ( P = 18, Loading size : 864 tones )
1
0.9
0.9
0.8
0.8
Probability ( PAPR[dB] < X)
Probability ( PAPR[dB] < X)
CDF of PAPR [dB] ( P = 18, Loading size : 72 tones )
1
0.7
0.6
0.5
0.4
0.3
0.2
0.6
0.5
0.4
0.3
0.2
16e
16m, offset 0
0.1
0
0.7
2
3
4
5
6
PAPR [dB]
7
8
9
16e
16m, offset 0
0.1
0
10
2
1
0.9
0.9
0.8
0.8
0.7
0.6
0.5
0.4
0.3
0.2
5
6
PAPR [dB]
7
8
9
10
0.7
0.6
0.5
0.4
0.3
0.2
16e
16m, offset 0
0.1
0
4
CDF of PAPR [dB] ( P = 32, Loading size : 864 tones )
1
Probability ( PAPR[dB] < X)
Probability ( PAPR[dB] < X)
CDF of PAPR [dB] ( P = 32, Loading size : 72 tones )
3
2
3
4
5
6
PAPR [dB]
7
8
9
16e
16m, offset 0
0.1
10
0
2
3
4
5
6
PAPR [dB]
7
8
9
10
Appendix:
PAPR Comparison: FDM
• PAPR mean of proposed seq.: 0.2 ~ 1.6dB lower than 16e
• PAPR variance of proposed seq.: -0.3 ~0.6dB lower than 16e
D=4
# of Subband
Mean PAPR
Variance of PAPR
Proposed
16e
Gain
Proposed
16e
Gain
1
2.6449 dB
4.2684 dB
1.6235 dB
0.0057 dB
0.6014 dB
0.5957 dB
2
4.7096 dB
5.7533 dB
1.0437 dB
0.3465 dB
0.8349 dB
0.4884 dB
3
5.5568 dB
6.2796 dB
0.7229 dB
0.5028 dB
0.8123 dB
0.3095 dB
4
5.8946 dB
6.4464 dB
0.5518 dB
0.5919 dB
0.8541 dB
0.2622 dB
5
6.0738 dB
6.4563 dB
0.3825 dB
0.6526 dB
0.8575 dB
0.2048 dB
6
6.0880 dB
6.3760 dB
0.2880 dB
0.7404 dB
0.8601 dB
0.1197 dB
7
5.9881 dB
6.2357 dB
0.2476 dB
0.8251 dB
0.8425 dB
0.0174 dB
8
5.7876 dB
6.0543 dB
0.2667 dB
0.8453 dB
0.8070 dB
- 0.0383 dB
9
5.5648 dB
5.8231 dB
0.2583 dB
0.7689 dB
0.7520 dB
- 0.0168 dB
10
5.2407 dB
5.5244 dB
0.2837 dB
0.8081 dB
0.6685 dB
- 0.1395 dB
11
4.7900 dB
5.1636 dB
0.3736 dB
0.8150 dB
0.5298 dB
- 0.2852 dB
12
4.0893 dB
4.7001 dB
0.6108 dB
0.0753 dB
0.3327 dB
0.2574 dB
Appendix:
PAPR Comparison: FDM
• PAPR mean of proposed seq.: 0.6 ~ 3.0dB lower than 16e
• PAPR variance of proposed seq.: 0.1 ~1.0dB lower than 16e
P=6
# of Subband
Mean PAPR
Variance of PAPR
Proposed
16e
Gain
Proposed
16e
Gain
1
3.5774 dB
5.0540 dB
1.4766 dB
0.0005 dB
0.9809 dB
0.9804 dB
2
5.4144 dB
6.2763 dB
0.8618 dB
0.5911 dB
0.9429 dB
0.3519 dB
3
6.1884 dB
6.7521 dB
0.5637 dB
0.7730 dB
0.8723 dB
0.0993 dB
4
6.2922 dB
6.9323 dB
0.6401 dB
0.7592 dB
0.8501 dB
0.0909 dB
5
6.2821 dB
6.9913 dB
0.7092 dB
0.6627 dB
0.8380 dB
0.1753 dB
6
6.1149 dB
6.9929 dB
0.8780 dB
0.6617 dB
0.8325 dB
0.1709 dB
7
5.9313 dB
6.9619 dB
1.0306 dB
0.6247 dB
0.8265 dB
0.2018 dB
8
5.6738 dB
6.9046 dB
1.2307 dB
0.6016 dB
0.8204 dB
0.2188 dB
9
5.3685 dB
6.8292 dB
1.4608 dB
0.5548 dB
0.8091 dB
0.2543 dB
10
4.9645 dB
6.7341 dB
1.7696 dB
0.5070 dB
0.7902 dB
0.2832 dB
11
4.3678 dB
6.6179 dB
2.2501 dB
0.4421 dB
0.7402 dB
0.2980 dB
12
3.5152 dB
6.5207 dB
3.0055 dB
0.0929 dB
0.5400 dB
0.4471 dB
Appendix:
PAPR Comparison: FDM
• PAPR mean of proposed seq.: 0.3 ~ 1.5dB lower than 16e
• PAPR variance of proposed seq.: 0.1 ~0.7dB lower than 16e
D=8
# of Subband
Mean PAPR
Variance of PAPR
Proposed
16e
Gain
Proposed
16e
Gain
1
3.6247 dB
4.2219 dB
0.5972 dB
0.0036 dB
0.4643 dB
0.4607 dB
2
5.1473 dB
5.4886 dB
0.3413 dB
0.4516 dB
1.1061 dB
0.6546 dB
3
5.7033 dB
5.9817 dB
0.2784 dB
0.7782 dB
0.9271 dB
0.1488 dB
4
5.8030 dB
6.1240 dB
0.3211 dB
0.6842 dB
0.9268 dB
0.2427 dB
5
5.8016 dB
6.1400 dB
0.3384 dB
0.6857 dB
0.9106 dB
0.2249 dB
6
5.7162 dB
6.0683 dB
0.3521 dB
0.6942 dB
0.9004 dB
0.2062 dB
7
5.5910 dB
5.9493 dB
0.3583 dB
0.6960 dB
0.8754 dB
0.1794 dB
8
5.4112 dB
5.7931 dB
0.3819 dB
0.6772 dB
0.8271 dB
0.1499 dB
9
5.1575 dB
5.6112 dB
0.4537 dB
0.6469 dB
0.7575 dB
0.1106 dB
10
4.8265 dB
5.3868 dB
0.5603 dB
0.5608 dB
0.6757 dB
0.1149 dB
11
4.3637 dB
5.1371 dB
0.7733 dB
0.2946 dB
0.5566 dB
0.2620 dB
12
3.3885 dB
4.8614 dB
1.4729 dB
0.2469 dB
0.3561 dB
0.1093 dB
Appendix:
PAPR Comparison: FDM
• PAPR mean of proposed seq.: 0.8 ~ 3.2dB lower than 16e
• PAPR variance of proposed seq.: 0.2 ~1.3dB lower than 16e
D=9
# of Subband
Mean PAPR
Variance of PAPR
Proposed
16e
Gain
Proposed
16e
Gain
1
2.6944 dB
4.8885 dB
2.1941 dB
0.0001 dB
1.3200 dB
1.3199 dB
2
4.4692 dB
6.1875 dB
1.7183 dB
0.4879 dB
1.1537 dB
0.6658 dB
3
5.5704 dB
6.7533 dB
1.1829 dB
0.4337 dB
1.0272 dB
0.5935 dB
4
6.1238 dB
6.9973 dB
0.8736 dB
0.5865 dB
0.9720 dB
0.3855 dB
5
6.3261 dB
7.1134 dB
0.7873 dB
0.7438 dB
0.9483 dB
0.2045 dB
6
6.3439 dB
7.1793 dB
0.8354 dB
0.7608 dB
0.9380 dB
0.1772 dB
7
6.3038 dB
7.2247 dB
0.9210 dB
0.6881 dB
0.9309 dB
0.2428 dB
8
6.1213 dB
7.2601 dB
1.1388 dB
0.7393 dB
0.9234 dB
0.1841 dB
9
5.8908 dB
7.2911 dB
1.4003 dB
0.6349 dB
0.9141 dB
0.2792 dB
10
5.4769 dB
7.3223 dB
1.8455 dB
0.6509 dB
0.9008 dB
0.2499 dB
11
4.8573 dB
7.3512 dB
2.4939 dB
0.3439 dB
0.8855 dB
0.5416 dB
12
4.2314 dB
7.3903 dB
3.1589 dB
0.1495 dB
0.8285 dB
0.6790 dB
Appendix:
PAPR Comparison: FDM
• PAPR mean of proposed seq.: 0.0 ~ 0.8dB lower than 16e
• PAPR variance of proposed seq.: 0.0 ~0.5dB lower than 16e
P = 16
# of Subband
Mean PAPR
Variance of PAPR
Proposed
16e
Gain
Proposed
16e
Gain
1
2.5150 dB
3.3008 dB
0.7857 dB
0.4775 dB
0.9345 dB
0.4570 dB
2
4.5917 dB
4.9217 dB
0.3300 dB
0.5443 dB
1.0117 dB
0.4674 dB
3
5.3284 dB
5.5324 dB
0.2040 dB
0.6817 dB
0.9698 dB
0.2882 dB
4
5.6257 dB
5.7236 dB
0.0980 dB
0.7218 dB
0.9816 dB
0.2598 dB
5
5.7075 dB
5.7354 dB
0.0280 dB
0.7795 dB
0.9769 dB
0.1974 dB
6
5.6540 dB
5.6583 dB
0.0043 dB
0.7924 dB
0.9712 dB
0.1788 dB
7
5.5445 dB
5.5244 dB
- 0.0200 dB
0.7913 dB
0.9599 dB
0.1687 dB
8
5.3521 dB
5.3435 dB
- 0.0086 dB
0.7780 dB
0.9366 dB
0.1586 dB
9
5.0685 dB
5.1104 dB
0.0418 dB
0.7678 dB
0.8921 dB
0.1242 dB
10
4.6541 dB
4.8074 dB
0.1533 dB
0.7026 dB
0.8169 dB
0.1144 dB
11
4.0607 dB
4.4206 dB
0.3599 dB
0.7013 dB
0.6525 dB
- 0.0488 dB
12
3.4111 dB
3.8531 dB
0.4420 dB
0.5425 dB
0.5961 dB
0.0536 dB
Appendix:
PAPR Comparison: FDM
• PAPR mean of proposed seq.: 0.6 ~ 3.5dB lower than 16e
• PAPR variance of proposed seq.: 0.3 ~1.4dB lower than 16e
P = 18
# of Subband
Mean PAPR
Variance of PAPR
Proposed
16e
Gain
Proposed
16e
Gain
1
2.2778 dB
3.8697 dB
1.5919 dB
0.0001 dB
1.4321 dB
1.4320 dB
2
4.2720 dB
5.3479 dB
1.0759 dB
0.7001 dB
1.4219 dB
0.7218 dB
3
5.4337 dB
6.0954 dB
0.6617 dB
0.5949 dB
1.1097 dB
0.5149 dB
4
5.8318 dB
6.4084 dB
0.5766 dB
0.6832 dB
1.0849 dB
0.4017 dB
5
5.9936 dB
6.5652 dB
0.5716 dB
0.6917 dB
1.0682 dB
0.3765 dB
6
6.0235 dB
6.6657 dB
0.6421 dB
0.7024 dB
1.0536 dB
0.3511 dB
7
5.9671 dB
6.7390 dB
0.7719 dB
0.7338 dB
1.0432 dB
0.3094 dB
8
5.8519 dB
6.7989 dB
0.9470 dB
0.7350 dB
1.0303 dB
0.2953 dB
9
5.6355 dB
6.8516 dB
1.2161 dB
0.7344 dB
1.0153 dB
0.2809 dB
10
5.2408 dB
6.8970 dB
1.6562 dB
0.7009 dB
1.0088 dB
0.3078 dB
11
4.9081 dB
6.9351 dB
2.0269 dB
0.5989 dB
1.0004 dB
0.4016 dB
12
3.4871 dB
6.9967 dB
3.5096 dB
0.2094 dB
1.0039 dB
0.7945 dB
Appendix:
PAPR Comparison: FDM
• PAPR mean of proposed seq.: -0.2 ~ 1.7dB lower than 16e
• PAPR variance of proposed seq.: 0.0 ~0.7dB lower than 16e
P = 32
# of Subband
Mean PAPR
Variance of PAPR
Proposed
16e
Gain
16m
16e
Gain
1
3.0880 dB
3.1900 dB
0.1020 dB
0.1369 dB
0.6730 dB
0.5361 dB
2
4.6377 dB
4.4342 dB
- 0.2035 dB
0.8259 dB
1.4831 dB
0.6571 dB
3
5.0249 dB
5.0431 dB
0.0182 dB
0.9167 dB
1.0836 dB
0.1669 dB
4
5.1691 dB
5.2332 dB
0.0641 dB
0.8281 dB
1.0823 dB
0.2542 dB
5
5.1353 dB
5.2941 dB
0.1588 dB
0.8241 dB
1.0659 dB
0.2418 dB
6
5.0456 dB
5.2746 dB
0.2290 dB
0.8158 dB
1.0440 dB
0.2282 dB
7
4.8935 dB
5.2161 dB
0.3226 dB
0.8058 dB
1.0038 dB
0.1981 dB
8
4.6985 dB
5.1380 dB
0.4395 dB
0.7861 dB
0.9467 dB
0.1607 dB
9
4.4510 dB
5.0441 dB
0.5931 dB
0.7559 dB
0.8734 dB
0.1175 dB
10
4.1411 dB
4.9340 dB
0.7930 dB
0.7024 dB
0.7868 dB
0.0845 dB
11
3.7032 dB
4.8400 dB
1.1367 dB
0.6494 dB
0.6946 dB
0.0452 dB
12
3.0364 dB
4.7787 dB
1.7423 dB
0.2407 dB
0.3678 dB
0.1272 dB
Appendix:
PAPR Comparison: FDM
CDF of PAPR [dB] (D = 4, Loading Size : 864 tones)
1
0.9
0.9
0.8
0.8
Probability (PAPR [dB] < X)
Probability (PAPR [dB] < X)
CDF of PAPR [dB] (D = 4, Loading Size : 72 tones)
1
0.7
0.6
0.5
0.4
0.3
0.2
0.6
0.5
0.4
0.3
0.2
16e
16m
0.1
0
0.7
2
3
4
5
6
7
8
PAPR [dB]
9
10
11
12
16e
16m
0.1
0
13
2
3
1
0.9
0.9
0.8
0.8
0.7
0.6
0.5
0.4
0.3
0.2
6
7
8
PAPR [dB]
9
10
11
12
13
0.7
0.6
0.5
0.4
0.3
0.2
16e
16m
0.1
0
5
CDF of PAPR [dB] (D = 6, Loading Size : 864 tones)
1
Probability (PAPR [dB] < X)
Probability (PAPR [dB] < X)
CDF of PAPR [dB] (D = 6, Loading Size : 72 tones)
4
2
3
4
5
6
7
8
PAPR [dB]
9
10
11
12
16e
16m
0.1
13
0
2
3
4
5
6
7
8
PAPR [dB]
9
10
11
12
13
Appendix:
PAPR Comparison: FDM
CDF of PAPR [dB] (D = 8, Loading Size : 864 tones)
1
0.9
0.9
0.8
0.8
Probability (PAPR [dB] < X)
Probability (PAPR [dB] < X)
CDF of PAPR [dB] (D = 8, Loading Size : 72 tones)
1
0.7
0.6
0.5
0.4
0.3
0.2
0.6
0.5
0.4
0.3
0.2
16e
16m
0.1
0
0.7
2
3
4
5
6
7
8
PAPR [dB]
9
10
11
12
16e
16m
0.1
0
13
2
3
1
0.9
0.9
0.8
0.8
0.7
0.6
0.5
0.4
0.3
0.2
6
7
8
PAPR [dB]
9
10
11
12
13
0.7
0.6
0.5
0.4
0.3
0.2
16e
16m
0.1
0
5
CDF of PAPR [dB] (D = 9, Loading Size : 864 tones)
1
Probability (PAPR [dB] < X)
Probability (PAPR [dB] < X)
CDF of PAPR [dB] (D = 9, Loading Size : 72 tones)
4
2
3
4
5
6
7
8
PAPR [dB]
9
10
11
12
16e
16m
0.1
13
0
2
3
4
5
6
7
8
PAPR [dB]
9
10
11
12
13
Appendix:
PAPR Comparison: FDM
CDF of PAPR [dB] (D = 16, Loading Size : 864 tones)
1
0.9
0.9
0.8
0.8
Probability (PAPR [dB] < X)
Probability (PAPR [dB] < X)
CDF of PAPR [dB] (D = 16, Loading Size : 72 tones)
1
0.7
0.6
0.5
0.4
0.3
0.6
0.5
0.4
0.3
0.2
0.2
0.1
0
0.7
2
3
4
5
6
7
8
PAPR [dB]
9
10
11
12
16e
16m
0.1
16e
16m
0
13
2
3
1
0.9
0.9
0.8
0.8
0.7
0.6
0.5
0.4
0.3
0.2
6
7
8
PAPR [dB]
9
10
11
12
13
0.7
0.6
0.5
0.4
0.3
0.2
16e
16m
0.1
0
5
CDF of PAPR [dB] (D = 18, Loading Size : 864 tones)
1
Probability (PAPR [dB] < X)
Probability (PAPR [dB] < X)
CDF of PAPR [dB] (D = 18, Loading Size : 72 tones)
4
2
3
4
5
6
7
8
PAPR [dB]
9
10
11
12
16e
16m
0.1
13
0
2
3
4
5
6
7
8
PAPR [dB]
9
10
11
12
13
Appendix:
PAPR Comparison: FDM
CDF of PAPR [dB] (D = 32, Loading Size : 864 tones)
1
0.9
0.9
0.8
0.8
Probability (PAPR [dB] < X)
Probability (PAPR [dB] < X)
CDF of PAPR [dB] (D = 32, Loading Size : 72 tones)
1
0.7
0.6
0.5
0.4
0.3
0.2
0.6
0.5
0.4
0.3
0.2
16e
16m
0.1
0
0.7
2
3
4
5
6
7
8
PAPR [dB]
9
10
11
12
16e
16m
0.1
13
0
2
3
4
5
6
7
8
PAPR [dB]
9
10
11
12
13
Appendix:
Sounding SNR Comparison
• System Level Simulation Condition
Parameter
Assumption
Cell Configuration
Hexagonal grid, 19 Cell sites, 3 sectors per site
No. of Sounding User / Sector
1,4,6,9,18
Path Loss Model
Loss (dB) = 130.19 + 37.6log10(R) (R in km)
Site-to-Site Distance
1.5 km
Carrier Frequency
2.4 GHz
Bandwidth
10Mhz
Max MS Tx Power
23dBm
Channel Model
NLOS: ITU Modified Ped.-B, 3kmph
LOS: ITU Modified Ped.-B with K= 5dB, 3kmph
Sounding Multiplexing
CDM (P = 6, 9, 18)
Sounding Target SINR
10dB
Sounding Channel Estimation
LS
Appendix:
Sounding SNR Comparison
Loading size =18 tones
Loading size =72 tones ( one-band )
Loading size =864 tones ( full-band )
-P=18NLOS
LOS
NLOS
LOS
NLOS
LOS
16e
New
16e
new
16e
New
16e
new
16e
New
16e
new
K=1
13.04
14.20
16.21
17.95
11.07
12.01
13.96
15.86
14.00
15.47
13.84
15.56
K=4
9.62
10.46
11.74
12.86
7.54
8.64
9.10
11.76
7.62
8.44
9.95
11.92
K=6
8.72
9.26
10.68
11.39
6.27
7.47
7.16
9.75
6.28
7.21
8.29
10.32
K=9
7.06
7.52
8.74
9.28
4.06
5.38
4.70
7.31
4.41
5.29
5.19
7.43
K = 18
4.94
5.20
6.92
7.19
1.35
2.57
1.97
4.51
1.47
2.24
2.58
4.70
Loading size =18 tones
-P=9-
NLOS
Loading size =72 tones ( one-band )
LOS
NLOS
LOS
16e
New
16e
new
16e
New
16e
K=1
12.84
15.07
14.05
16.96
11.98
14.06
12.36
K=4
9.62
5.22
7.79
10.46
11.74
12.86
Loading size =864 tones ( full-band )
new
NLOS
LOS
16e
New
16e
new
15.19
10.89
12.66
12.91
15.44
5.65
9.37
6.23
8.03
6.75
9.94
K=6
5.05
7.34
5.50
8.54
3.39
5.77
3.64
7.40
4.41
5.75
4.43
7.31
K=9
3.46
5.62
3.88
6.98
1.52
3.83
1.41
5.04
2.42
3.64
2.69
5.22
Appendix:
Sounding SNR Comparison (P=18)
P=18 one band NLOS
P=18 full band NLOS
1
1
16e
new
0.8
0.8
0.7
0.7
0.6
0.6
0.5
0.5
0.4
0.4
0.3
0.3
0.2
K=18,9,6,4,1
0.2
0.1
0
-15
16e
new
0.9
CDF
CDF
0.9
K=18,9,6,4,1
0.1
-10
-5
0
5
10
Sounding SINR (dB)
15
20
0
-25
25
-20
-15
-10
-5
0
5
Sounding SINR (dB)
16e
new
25
16e
new
0.9
0.8
0.8
0.7
0.7
0.6
0.6
CDF
CDF
20
1
0.9
0.5
0.5
0.4
0.4
0.3
0.3
K=18,9,6,4,1
0.2
K=18,9,6,4,1
0.1
0.1
0
-15
15
P=18 full band LOS
P=18 one band LOS
1
0.2
10
-10
-5
0
5
10
Sounding SINR (dB)
15
20
25
30
0
-20
-15
-10
-5
0
5
Sounding SINR (dB)
10
15
20
25
Appendix:
Sounding SNR Comparison (P=9)
P=9 full band NLOS
1
0.9
0.9
0.8
0.8
0.7
0.7
0.6
0.6
CDF
CDF
P=9 one band NLOS
1
0.5
0.5
0.4
0.4
0.3
0.3
0.2
K=9,6,4,1
K=9,6,4,1
0.2
0.1
0
-15
16e
new
0.1
-10
-5
0
5
10
15
Sounding SINR (dB)
20
25
0
-25
30
-20
-15
-10
-5
0
5
Sounding SINR (dB)
P=9 one band LOS
16e
new
25
16e
new
0.9
0.8
0.8
0.7
0.7
0.6
0.6
CDF
CDF
20
1
0.9
0.5
0.5
0.4
0.4
0.3
0.3
K=9,6,4,1
K=9,6,4,1
0.2
0.1
0.1
0
-15
15
P=9 full band LOS
1
0.2
10
-10
-5
0
5
10
Sounding SINR (dB)
15
20
25
0
-20
-15
-10
-5
0
5
Sounding SINR (dB)
10
15
20
25