Evaluation of Proposed Sounding Sequence for IEEE 802

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Evaluation of Proposed Sounding Sequence for IEEE 802. 16 m Amendment Working Document IEEE

Evaluation of Proposed Sounding Sequence for IEEE 802. 16 m Amendment Working Document IEEE 802. 16 Presentation Submission Template (Rev. 9) Document Number: IEEE S 80216 m-0849 Date Submitted: 2009 -04 -27 Source: Keun. Chul Hwang, Jing Li, Seungwon Kang, Inseok Hwang, Soon Young Yoon Samsung Electronics keunchul. [email protected] com Venue: IEEE 802. 16 m Session#61, Cairo, Egypt Base Contributions: IEEE C 80216 m-0849 Re: Call for Contributions on Project 802. 16 m 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/sect 6 -7. html#6> and <http: //standards. ieee. org/guides/opman/sect 6. html#6. 3>. Further information is located at <http: //standards. ieee. org/board/pat-material. html> and <http: //standards. ieee. org/board/pat >.

Motivation • In current AWD text(80216 m-09_0010 r 1 a), sounding sequence is not

Motivation • In current AWD text(80216 m-09_0010 r 1 a), sounding sequence is not defined. • New sounding sequence is proposed, and performance is compared with 16 e sounding sequence.

Summary • Proposed sequence provides better performance than 16 e sounding sequence 16 e

Summary • Proposed sequence provides better performance than 16 e sounding sequence 16 e Proposed Gain PAPR 5 d. B ~ 7 d. B 3 d. B ~ 7 d. B 0 d. B ~ 4 d. B* Probability of zero correlation 40% 85% 45%* Sounding SNR 5 d. B ~ 6 d. B~10 d. B 1 d. B ~ 4 d. B* * Performance gain depends on sounding loading size and channel.

Proposed Sounding Sequence (1/2) • Overall Sounding Sequence – Composed of short sounding seq.

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 • Short Sequence – Construct P Base Short Sequence with Length P – Obtain P 2 Short Sequences with Cyclic Shift

Proposed Sounding Sequence (2/2) • Proposed Sequence for CDM Cyclic Shift Short Seq. •

Proposed Sounding Sequence (2/2) • Proposed Sequence for CDM Cyclic Shift Short Seq. • Proposed Sequence for FDM • Long Covering Sequence. Offset • Short Sequence Long Covering Seq.

Performance: PAPR • Proposed sequence provides lower mean PAPR and smaller variance than 16

Performance: PAPR • Proposed sequence provides lower mean PAPR and smaller variance than 16 e <CDM> 2. 5 d. B <FDM> 3. 2 d. B

Performance: Cross Correlation • Proposed sequence shows better correlation property (higher zero correlation) than

Performance: Cross Correlation • Proposed sequence shows better correlation property (higher zero correlation) than 16 e <16 e> <Proposed>

Performance: Sounding SNR • Proposed sequence provides better sounding SNR than 16 e •

Performance: Sounding SNR • Proposed sequence provides better sounding SNR than 16 e • Sounding SNR Gain (19 cell, 3 sector, SLS Results)

Proposed Remedy • Adopt the proposed text in C 80216 m-09_0849 or its latest

Proposed Remedy • Adopt the proposed text in C 80216 m-09_0849 or its latest version to line 60, page 118 (section 15. 3. 9. 2. 3. 1. in 80216 m-09_0010 r 1 a)

Appendix Simulation Results

Appendix Simulation Results

Appendix: PAPR Comparison • PAPR Simulation Condition Parameter Value FFT Size 1024 Number of

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 (16 e: 127 u values, proposed : P^2 sequences)

Appendix: PAPR Comparison: CDM • PAPR mean of proposed seq. : 0. 3 ~

Appendix: PAPR Comparison: CDM • PAPR mean of proposed seq. : 0. 3 ~ 1. 6 d. B lower than 16 e • PAPR variance of proposed seq. : -0. 1 ~0. 4 d. B lower than 16 e P=4 # of Subband Mean PAPR Variance of PAPR Proposed 16 e Gain 1 3. 8171 d. B 4. 9537 d. B 1. 1366 d. B 0. 1882 d. B 0. 4725 d. B 0. 2843 d. B 2 5. 6107 d. B 6. 3615 d. B 0. 7508 d. B 0. 4731 d. B 0. 8481 d. B 0. 3750 d. B 3 6. 3966 d. B 6. 8050 d. B 0. 4084 d. B 0. 4602 d. B 0. 7820 d. B 0. 3218 d. B 4 6. 6167 d. B 6. 9477 d. B 0. 3310 d. B 0. 6555 d. B 0. 8001 d. B 0. 1446 d. B 5 6. 6026 d. B 6. 9494 d. B 0. 3468 d. B 0. 7552 d. B 0. 7985 d. B 0. 0433 d. B 6 6. 5292 d. B 6. 8508 d. B 0. 3216 d. B 0. 7461 d. B 0. 8012 d. B 0. 0551 d. B 7 6. 3594 d. B 6. 6950 d. B 0. 3356 d. B 0. 7935 d. B 0. 7840 d. B - 0. 0095 d. B 8 6. 1103 d. B 6. 4994 d. B 0. 3891 d. B 0. 7755 d. B 0. 7470 d. B - 0. 0285 d. B 9 5. 8010 d. B 6. 2614 d. B 0. 4604 d. B 0. 7297 d. B 0. 6938 d. B - 0. 0359 d. B 10 5. 3575 d. B 5. 9482 d. B 0. 5907 d. B 0. 6729 d. B 0. 6196 d. B - 0. 0533 d. B 11 4. 6513 d. B 5. 5905 d. B 0. 9392 d. B 0. 6451 d. B 0. 4562 d. B - 0. 1889 d. B 12 3. 4766 d. B 5. 0771 d. B 1. 6005 d. B 0. 2527 d. B 0. 2802 d. B 0. 0275 d. B

Appendix: PAPR Comparison: CDM • PAPR mean of proposed seq. : 0. 3 ~

Appendix: PAPR Comparison: CDM • PAPR mean of proposed seq. : 0. 3 ~ 2. 3 d. B lower than 16 e • PAPR variance of proposed seq. : -0. 2 ~ 0. 5 d. B lower than 16 e P=6 # of Subband Mean PAPR Variance of PAPR Proposed 16 e Gain 1 2. 6199 d. B 4. 9552 d. B 2. 3352 d. B 0. 0017 d. B 0. 4724 d. B 0. 4707 d. B 2 4. 8094 d. B 6. 3466 d. B 1. 5372 d. B 0. 5058 d. B 0. 8136 d. B 0. 3079 d. B 3 5. 9642 d. B 6. 7997 d. B 0. 8354 d. B 0. 4429 d. B 0. 7229 d. B 0. 2800 d. B 4 6. 4800 d. B 6. 9458 d. B 0. 4658 d. B 0. 7010 d. B 0. 7311 d. B 0. 0302 d. B 5 6. 5803 d. B 6. 9583 d. B 0. 3780 d. B 0. 9130 d. B 0. 7239 d. B - 0. 1891 d. B 6 6. 5240 d. B 6. 8855 d. B 0. 3615 d. B 0. 9345 d. B 0. 7216 d. B - 0. 2128 d. B 7 6. 4209 d. B 6. 7607 d. B 0. 3398 d. B 0. 9464 d. B 0. 7090 d. B - 0. 2374 d. B 8 6. 1640 d. B 6. 6000 d. B 0. 4360 d. B 0. 9293 d. B 0. 6796 d. B - 0. 2497 d. B 9 5. 8833 d. B 6. 3981 d. B 0. 5148 d. B 0. 8109 d. B 0. 6394 d. B - 0. 1715 d. B 10 5. 3177 d. B 6. 1459 d. B 0. 8283 d. B 0. 8275 d. B 0. 5884 d. B - 0. 2392 d. B 11 4. 4251 d. B 5. 8347 d. B 1. 4096 d. B 0. 6339 d. B 0. 5317 d. B - 0. 1022 d. B 12 3. 2755 d. B 5. 5092 d. B 2. 2337 d. B 0. 0567 d. B 0. 3887 d. B 0. 3321 d. B

Appendix: PAPR Comparison: CDM • PAPR mean of proposed seq. : 0. 3 ~

Appendix: PAPR Comparison: CDM • PAPR mean of proposed seq. : 0. 3 ~ 1. 5 d. B lower than 16 e • PAPR variance of proposed seq. : -0. 1 ~0. 4 d. B lower than 16 e P=8 # of Subband Mean PAPR Variance of PAPR Proposed 16 e Gain 1 3. 8614 d. B 4. 9537 d. B 1. 0923 d. B 0. 1561 d. B 0. 4725 d. B 0. 3164 d. B 2 5. 6279 d. B 6. 3615 d. B 0. 7336 d. B 0. 4335 d. B 0. 8481 d. B 0. 4146 d. B 3 6. 3408 d. B 6. 8050 d. B 0. 4642 d. B 0. 4757 d. B 0. 7820 d. B 0. 3063 d. B 4 6. 6140 d. B 6. 9477 d. B 0. 3337 d. B 0. 6584 d. B 0. 8001 d. B 0. 1417 d. B 5 6. 6335 d. B 6. 9494 d. B 0. 3159 d. B 0. 7332 d. B 0. 7985 d. B 0. 0653 d. B 6 6. 5615 d. B 6. 8508 d. B 0. 2893 d. B 0. 7464 d. B 0. 8012 d. B 0. 0548 d. B 7 6. 4045 d. B 6. 6950 d. B 0. 2905 d. B 0. 7925 d. B 0. 7840 d. B - 0. 0085 d. B 8 6. 1469 d. B 6. 4994 d. B 0. 3525 d. B 0. 7783 d. B 0. 7470 d. B - 0. 0313 d. B 9 5. 8410 d. B 6. 2614 d. B 0. 4204 d. B 0. 7141 d. B 0. 6938 d. B - 0. 0203 d. B 10 5. 3788 d. B 5. 9482 d. B 0. 5694 d. B 0. 7199 d. B 0. 6196 d. B - 0. 1003 d. B 11 4. 7015 d. B 5. 5905 d. B 0. 8890 d. B 0. 5279 d. B 0. 4562 d. B - 0. 0717 d. B 12 3. 6053 d. B 5. 0771 d. B 1. 4718 d. B 0. 3933 d. B 0. 2802 d. B - 0. 1131 d. B

Appendix: PAPR Comparison: CDM • PAPR mean of proposed seq. : -0. 1 ~

Appendix: PAPR Comparison: CDM • PAPR mean of proposed seq. : -0. 1 ~ 3. 9 d. B lower than 16 e • PAPR variance of proposed seq. : -0. 2 ~0. 6 d. B lower than 16 e P=9 # of Subband Mean PAPR Variance of PAPR Proposed 16 e Gain 1 4. 4754 d. B 4. 9553 d. B 0. 4799 d. B 0. 3303 d. B 0. 4723 d. B 0. 1420 d. B 2 6. 1121 d. B 6. 3486 d. B 0. 2365 d. B 0. 5771 d. B 0. 8191 d. B 0. 2420 d. B 3 6. 8410 d. B 6. 8054 d. B -0. 0356 d. B 0. 7695 d. B 0. 7322 d. B -0. 0373 d. B 4 7. 0081 d. B 6. 9532 d. B -0. 0549 d. B 0. 9037 d. B 0. 7415 d. B -0. 1622 d. B 5 7. 0623 d. B 6. 9676 d. B -0. 0947 d. B 0. 8252 d. B 0. 7344 d. B -0. 0908 d. B 6 3. 0199 d. B 6. 8959 d. B 3. 8760 d. B 0. 0845 d. B 0. 7292 d. B 0. 6447 d. B 7 6. 7448 d. B 6. 7726 d. B 0. 0278 d. B 0. 8576 d. B 0. 7135 d. B -0. 1441 d. B 8 6. 4262 d. B 6. 6127 d. B 0. 1865 d. B 0. 8681 d. B 0. 6800 d. B -0. 1881 d. B 9 5. 9557 d. B 6. 4131 d. B 0. 4574 d. B 0. 8095 d. B 0. 6344 d. B -0. 1751 d. B 10 5. 3461 d. B 6. 1633 d. B 0. 8172 d. B 0. 7904 d. B 0. 5761 d. B -0. 2143 d. B 11 4. 5986 d. B 5. 8563 d. B 1. 2577 d. B 0. 6809 d. B 0. 5111 d. B -0. 1698 d. B 12 3. 0199 d. B 5. 5313 d. B 2. 5114 d. B 0. 0845 d. B 0. 3254 d. B 0. 2409 d. B

Appendix: PAPR Comparison: CDM • PAPR mean of proposed seq. : 0. 2 ~

Appendix: PAPR Comparison: CDM • PAPR mean of proposed seq. : 0. 2 ~ 1. 4 d. B lower than 16 e • PAPR variance of proposed seq. : -0. 1 ~0. 4 d. B lower than 16 e P = 16 # of Subband Mean PAPR Variance of PAPR Proposed 16 e Gain 1 3. 8505 d. B 4. 9537 d. B 1. 1032 d. B 0. 1944 d. B 0. 4725 d. B 0. 2781 d. B 2 5. 6265 d. B 6. 3615 d. B 0. 7350 d. B 0. 4217 d. B 0. 8481 d. B 0. 4264 d. B 3 6. 4277 d. B 6. 8050 d. B 0. 3773 d. B 0. 4374 d. B 0. 7820 d. B 0. 3446 d. B 4 6. 6755 d. B 6. 9477 d. B 0. 2722 d. B 0. 6590 d. B 0. 8001 d. B 0. 1411 d. B 5 6. 6780 d. B 6. 9494 d. B 0. 2714 d. B 0. 7561 d. B 0. 7985 d. B 0. 0424 d. B 6 6. 6126 d. B 6. 8508 d. B 0. 2382 d. B 0. 7717 d. B 0. 8012 d. B 0. 0295 d. B 7 6. 4547 d. B 6. 6950 d. B 0. 2403 d. B 0. 8131 d. B 0. 7840 d. B -0. 0291 d. B 8 6. 2238 d. B 6. 4994 d. B 0. 2756 d. B 0. 7861 d. B 0. 7470 d. B -0. 0391 d. B 9 5. 9328 d. B 6. 2614 d. B 0. 3286 d. B 0. 7476 d. B 0. 6938 d. B -0. 0538 d. B 10 5. 4622 d. B 5. 9482 d. B 0. 4860 d. B 0. 7231 d. B 0. 6196 d. B -0. 1035 d. B 11 4. 8086 d. B 5. 5905 d. B 0. 7819 d. B 0. 5884 d. B 0. 4562 d. B -0. 1322 d. B 12 3. 6896 d. B 5. 0771 d. B 1. 3875 d. B 0. 1696 d. B 0. 2802 d. B 0. 1106 d. B

Appendix: PAPR Comparison: CDM • PAPR mean of proposed seq. : 0. 1 ~

Appendix: PAPR Comparison: CDM • PAPR mean of proposed seq. : 0. 1 ~ 0. 6 d. B lower than 16 e • PAPR variance of proposed seq. : -0. 6 ~ 0. 1 d. B lower than 16 e P = 18 # of Subband Mean PAPR Variance of PAPR Proposed 16 e Gain 1 4. 6965 d. B 4. 9553 d. B 0. 2588 d. B 1. 0296 d. B 0. 4723 d. B -0. 5573 d. B 2 5. 7514 d. B 6. 3486 d. B 0. 5972 d. B 0. 8208 d. B 0. 8191 d. B -0. 0017 d. B 3 6. 2693 d. B 6. 8054 d. B 0. 5361 d. B 0. 7325 d. B 0. 7322 d. B -0. 0003 d. B 4 6. 5074 d. B 6. 9532 d. B 0. 4458 d. B 0. 6863 d. B 0. 7415 d. B 0. 0552 d. B 5 6. 6049 d. B 6. 9676 d. B 0. 3627 d. B 0. 6728 d. B 0. 7344 d. B 0. 0616 d. B 6 6. 5868 d. B 6. 8959 d. B 0. 3091 d. B 0. 7197 d. B 0. 7292 d. B 0. 0095 d. B 7 6. 5055 d. B 6. 7726 d. B 0. 2671 d. B 0. 7339 d. B 0. 7135 d. B -0. 0204 d. B 8 6. 3909 d. B 6. 6127 d. B 0. 2218 d. B 0. 7243 d. B 0. 6800 d. B -0. 0443 d. B 9 6. 2270 d. B 6. 4131 d. B 0. 1861 d. B 0. 6958 d. B 0. 6344 d. B -0. 0614 d. B 10 6. 0083 d. B 6. 1633 d. B 0. 1550 d. B 0. 6662 d. B 0. 5761 d. B -0. 0901 d. B 11 5. 7192 d. B 5. 8563 d. B 0. 1371 d. B 0. 5924 d. B 0. 5111 d. B -0. 0813 d. B 12 5. 3005 d. B 5. 5313 d. B 0. 2308 d. B 0. 3193 d. B 0. 3254 d. B 0. 0061 d. B

Appendix: PAPR Comparison: CDM • PAPR mean of proposed seq. : 0. 3 ~

Appendix: PAPR Comparison: CDM • PAPR mean of proposed seq. : 0. 3 ~ 1. 6 d. B lower than 16 e • PAPR variance of proposed seq. : -0. 2 ~0. 3 d. B lower than 16 e P = 32 # of Subband Mean PAPR Variance of PAPR Proposed 16 e Gain 1 4. 1542 d. B 4. 9537 d. B 0. 7995 d. B 0. 2945 d. B 0. 4725 d. B 0. 1780 d. B 2 5. 6766 d. B 6. 3615 d. B 0. 6849 d. B 0. 5012 d. B 0. 8481 d. B 0. 3469 d. B 3 6. 3775 d. B 6. 8050 d. B 0. 4275 d. B 0. 4424 d. B 0. 7820 d. B 0. 3396 d. B 4 6. 6159 d. B 6. 9477 d. B 0. 3318 d. B 0. 6186 d. B 0. 8001 d. B 0. 1815 d. B 5 6. 6288 d. B 6. 9494 d. B 0. 3206 d. B 0. 6952 d. B 0. 7985 d. B 0. 1033 d. B 6 6. 5384 d. B 6. 8508 d. B 0. 3124 d. B 0. 7156 d. B 0. 8012 d. B 0. 0856 d. B 7 6. 3685 d. B 6. 6950 d. B 0. 3265 d. B 0. 7725 d. B 0. 7840 d. B 0. 0115 d. B 8 6. 1189 d. B 6. 4994 d. B 0. 3805 d. B 0. 7663 d. B 0. 7470 d. B -0. 0193 d. B 9 5. 8049 d. B 6. 2614 d. B 0. 4565 d. B 0. 7271 d. B 0. 6938 d. B -0. 0333 d. B 10 5. 3402 d. B 5. 9482 d. B 0. 6080 d. B 0. 7178 d. B 0. 6196 d. B -0. 0982 d. B 11 4. 6543 d. B 5. 5905 d. B 0. 9362 d. B 0. 6075 d. B 0. 4562 d. B -0. 1513 d. B 12 3. 4727 d. B 5. 0771 d. B 1. 6044 d. B 0. 2640 d. B 0. 2802 d. B 0. 0162 d. B

Appendix: PAPR Comparison: CDM

Appendix: PAPR Comparison: CDM

Appendix: PAPR Comparison: CDM

Appendix: PAPR Comparison: CDM

Appendix: PAPR Comparison: CDM

Appendix: PAPR Comparison: CDM

Appendix: PAPR Comparison: CDM

Appendix: PAPR Comparison: CDM

Appendix: PAPR Comparison: FDM • PAPR mean of proposed seq. : 0. 2 ~

Appendix: PAPR Comparison: FDM • PAPR mean of proposed seq. : 0. 2 ~ 1. 6 d. B lower than 16 e • PAPR variance of proposed seq. : -0. 3 ~0. 6 d. B lower than 16 e D=4 # of Subband Mean PAPR Variance of PAPR Proposed 16 e Gain 1 2. 6449 d. B 4. 2684 d. B 1. 6235 d. B 0. 0057 d. B 0. 6014 d. B 0. 5957 d. B 2 4. 7096 d. B 5. 7533 d. B 1. 0437 d. B 0. 3465 d. B 0. 8349 d. B 0. 4884 d. B 3 5. 5568 d. B 6. 2796 d. B 0. 7229 d. B 0. 5028 d. B 0. 8123 d. B 0. 3095 d. B 4 5. 8946 d. B 6. 4464 d. B 0. 5518 d. B 0. 5919 d. B 0. 8541 d. B 0. 2622 d. B 5 6. 0738 d. B 6. 4563 d. B 0. 3825 d. B 0. 6526 d. B 0. 8575 d. B 0. 2048 d. B 6 6. 0880 d. B 6. 3760 d. B 0. 2880 d. B 0. 7404 d. B 0. 8601 d. B 0. 1197 d. B 7 5. 9881 d. B 6. 2357 d. B 0. 2476 d. B 0. 8251 d. B 0. 8425 d. B 0. 0174 d. B 8 5. 7876 d. B 6. 0543 d. B 0. 2667 d. B 0. 8453 d. B 0. 8070 d. B - 0. 0383 d. B 9 5. 5648 d. B 5. 8231 d. B 0. 2583 d. B 0. 7689 d. B 0. 7520 d. B - 0. 0168 d. B 10 5. 2407 d. B 5. 5244 d. B 0. 2837 d. B 0. 8081 d. B 0. 6685 d. B - 0. 1395 d. B 11 4. 7900 d. B 5. 1636 d. B 0. 3736 d. B 0. 8150 d. B 0. 5298 d. B - 0. 2852 d. B 12 4. 0893 d. B 4. 7001 d. B 0. 6108 d. B 0. 0753 d. B 0. 3327 d. B 0. 2574 d. B

Appendix: PAPR Comparison: FDM • PAPR mean of proposed seq. : 0. 6 ~

Appendix: PAPR Comparison: FDM • PAPR mean of proposed seq. : 0. 6 ~ 3. 0 d. B lower than 16 e • PAPR variance of proposed seq. : 0. 1 ~1. 0 d. B lower than 16 e D=6 # of Subband Mean PAPR Variance of PAPR Proposed 16 e Gain 1 3. 5774 d. B 5. 0540 d. B 1. 4766 d. B 0. 0005 d. B 0. 9809 d. B 0. 9804 d. B 2 5. 4144 d. B 6. 2763 d. B 0. 8618 d. B 0. 5911 d. B 0. 9429 d. B 0. 3519 d. B 3 6. 1884 d. B 6. 7521 d. B 0. 5637 d. B 0. 7730 d. B 0. 8723 d. B 0. 0993 d. B 4 6. 2922 d. B 6. 9323 d. B 0. 6401 d. B 0. 7592 d. B 0. 8501 d. B 0. 0909 d. B 5 6. 2821 d. B 6. 9913 d. B 0. 7092 d. B 0. 6627 d. B 0. 8380 d. B 0. 1753 d. B 6 6. 1149 d. B 6. 9929 d. B 0. 8780 d. B 0. 6617 d. B 0. 8325 d. B 0. 1709 d. B 7 5. 9313 d. B 6. 9619 d. B 1. 0306 d. B 0. 6247 d. B 0. 8265 d. B 0. 2018 d. B 8 5. 6738 d. B 6. 9046 d. B 1. 2307 d. B 0. 6016 d. B 0. 8204 d. B 0. 2188 d. B 9 5. 3685 d. B 6. 8292 d. B 1. 4608 d. B 0. 5548 d. B 0. 8091 d. B 0. 2543 d. B 10 4. 9645 d. B 6. 7341 d. B 1. 7696 d. B 0. 5070 d. B 0. 7902 d. B 0. 2832 d. B 11 4. 3678 d. B 6. 6179 d. B 2. 2501 d. B 0. 4421 d. B 0. 7402 d. B 0. 2980 d. B 12 3. 5152 d. B 6. 5207 d. B 3. 0055 d. B 0. 0929 d. B 0. 5400 d. B 0. 4471 d. B

Appendix: PAPR Comparison: FDM • PAPR mean of proposed seq. : 0. 3 ~

Appendix: PAPR Comparison: FDM • PAPR mean of proposed seq. : 0. 3 ~ 1. 5 d. B lower than 16 e • PAPR variance of proposed seq. : 0. 1 ~0. 7 d. B lower than 16 e D=8 # of Subband Mean PAPR Variance of PAPR Proposed 16 e Gain 1 3. 6247 d. B 4. 2219 d. B 0. 5972 d. B 0. 0036 d. B 0. 4643 d. B 0. 4607 d. B 2 5. 1473 d. B 5. 4886 d. B 0. 3413 d. B 0. 4516 d. B 1. 1061 d. B 0. 6546 d. B 3 5. 7033 d. B 5. 9817 d. B 0. 2784 d. B 0. 7782 d. B 0. 9271 d. B 0. 1488 d. B 4 5. 8030 d. B 6. 1240 d. B 0. 3211 d. B 0. 6842 d. B 0. 9268 d. B 0. 2427 d. B 5 5. 8016 d. B 6. 1400 d. B 0. 3384 d. B 0. 6857 d. B 0. 9106 d. B 0. 2249 d. B 6 5. 7162 d. B 6. 0683 d. B 0. 3521 d. B 0. 6942 d. B 0. 9004 d. B 0. 2062 d. B 7 5. 5910 d. B 5. 9493 d. B 0. 3583 d. B 0. 6960 d. B 0. 8754 d. B 0. 1794 d. B 8 5. 4112 d. B 5. 7931 d. B 0. 3819 d. B 0. 6772 d. B 0. 8271 d. B 0. 1499 d. B 9 5. 1575 d. B 5. 6112 d. B 0. 4537 d. B 0. 6469 d. B 0. 7575 d. B 0. 1106 d. B 10 4. 8265 d. B 5. 3868 d. B 0. 5603 d. B 0. 5608 d. B 0. 6757 d. B 0. 1149 d. B 11 4. 3637 d. B 5. 1371 d. B 0. 7733 d. B 0. 2946 d. B 0. 5566 d. B 0. 2620 d. B 12 3. 3885 d. B 4. 8614 d. B 1. 4729 d. B 0. 2469 d. B 0. 3561 d. B 0. 1093 d. B

Appendix: PAPR Comparison: FDM • PAPR mean of proposed seq. : 0. 8 ~

Appendix: PAPR Comparison: FDM • PAPR mean of proposed seq. : 0. 8 ~ 3. 2 d. B lower than 16 e • PAPR variance of proposed seq. : 0. 2 ~1. 3 d. B lower than 16 e D=9 # of Subband Mean PAPR Variance of PAPR Proposed 16 e Gain 1 2. 6944 d. B 4. 8885 d. B 2. 1941 d. B 0. 0001 d. B 1. 3200 d. B 1. 3199 d. B 2 4. 4692 d. B 6. 1875 d. B 1. 7183 d. B 0. 4879 d. B 1. 1537 d. B 0. 6658 d. B 3 5. 5704 d. B 6. 7533 d. B 1. 1829 d. B 0. 4337 d. B 1. 0272 d. B 0. 5935 d. B 4 6. 1238 d. B 6. 9973 d. B 0. 8736 d. B 0. 5865 d. B 0. 9720 d. B 0. 3855 d. B 5 6. 3261 d. B 7. 1134 d. B 0. 7873 d. B 0. 7438 d. B 0. 9483 d. B 0. 2045 d. B 6 6. 3439 d. B 7. 1793 d. B 0. 8354 d. B 0. 7608 d. B 0. 9380 d. B 0. 1772 d. B 7 6. 3038 d. B 7. 2247 d. B 0. 9210 d. B 0. 6881 d. B 0. 9309 d. B 0. 2428 d. B 8 6. 1213 d. B 7. 2601 d. B 1. 1388 d. B 0. 7393 d. B 0. 9234 d. B 0. 1841 d. B 9 5. 8908 d. B 7. 2911 d. B 1. 4003 d. B 0. 6349 d. B 0. 9141 d. B 0. 2792 d. B 10 5. 4769 d. B 7. 3223 d. B 1. 8455 d. B 0. 6509 d. B 0. 9008 d. B 0. 2499 d. B 11 4. 8573 d. B 7. 3512 d. B 2. 4939 d. B 0. 3439 d. B 0. 8855 d. B 0. 5416 d. B 12 4. 2314 d. B 7. 3903 d. B 3. 1589 d. B 0. 1495 d. B 0. 8285 d. B 0. 6790 d. B

Appendix: PAPR Comparison: FDM • PAPR mean of proposed seq. : 0. 0 ~

Appendix: PAPR Comparison: FDM • PAPR mean of proposed seq. : 0. 0 ~ 0. 8 d. B lower than 16 e • PAPR variance of proposed seq. : 0. 0 ~0. 5 d. B lower than 16 e D = 16 # of Subband Mean PAPR Variance of PAPR Proposed 16 e Gain 1 2. 5150 d. B 3. 3008 d. B 0. 7857 d. B 0. 4775 d. B 0. 9345 d. B 0. 4570 d. B 2 4. 5917 d. B 4. 9217 d. B 0. 3300 d. B 0. 5443 d. B 1. 0117 d. B 0. 4674 d. B 3 5. 3284 d. B 5. 5324 d. B 0. 2040 d. B 0. 6817 d. B 0. 9698 d. B 0. 2882 d. B 4 5. 6257 d. B 5. 7236 d. B 0. 0980 d. B 0. 7218 d. B 0. 9816 d. B 0. 2598 d. B 5 5. 7075 d. B 5. 7354 d. B 0. 0280 d. B 0. 7795 d. B 0. 9769 d. B 0. 1974 d. B 6 5. 6540 d. B 5. 6583 d. B 0. 0043 d. B 0. 7924 d. B 0. 9712 d. B 0. 1788 d. B 7 5. 5445 d. B 5. 5244 d. B - 0. 0200 d. B 0. 7913 d. B 0. 9599 d. B 0. 1687 d. B 8 5. 3521 d. B 5. 3435 d. B - 0. 0086 d. B 0. 7780 d. B 0. 9366 d. B 0. 1586 d. B 9 5. 0685 d. B 5. 1104 d. B 0. 0418 d. B 0. 7678 d. B 0. 8921 d. B 0. 1242 d. B 10 4. 6541 d. B 4. 8074 d. B 0. 1533 d. B 0. 7026 d. B 0. 8169 d. B 0. 1144 d. B 11 4. 0607 d. B 4. 4206 d. B 0. 3599 d. B 0. 7013 d. B 0. 6525 d. B - 0. 0488 d. B 12 3. 4111 d. B 3. 8531 d. B 0. 4420 d. B 0. 5425 d. B 0. 5961 d. B 0. 0536 d. B

Appendix: PAPR Comparison: FDM • PAPR mean of proposed seq. : 0. 6 ~

Appendix: PAPR Comparison: FDM • PAPR mean of proposed seq. : 0. 6 ~ 3. 5 d. B lower than 16 e • PAPR variance of proposed seq. : 0. 3 ~1. 4 d. B lower than 16 e D = 18 # of Subband Mean PAPR Variance of PAPR Proposed 16 e Gain 1 2. 2778 d. B 3. 8697 d. B 1. 5919 d. B 0. 0001 d. B 1. 4320 d. B 2 4. 2720 d. B 5. 3479 d. B 1. 0759 d. B 0. 7001 d. B 1. 4219 d. B 0. 7218 d. B 3 5. 4337 d. B 6. 0954 d. B 0. 6617 d. B 0. 5949 d. B 1. 1097 d. B 0. 5149 d. B 4 5. 8318 d. B 6. 4084 d. B 0. 5766 d. B 0. 6832 d. B 1. 0849 d. B 0. 4017 d. B 5 5. 9936 d. B 6. 5652 d. B 0. 5716 d. B 0. 6917 d. B 1. 0682 d. B 0. 3765 d. B 6 6. 0235 d. B 6. 6657 d. B 0. 6421 d. B 0. 7024 d. B 1. 0536 d. B 0. 3511 d. B 7 5. 9671 d. B 6. 7390 d. B 0. 7719 d. B 0. 7338 d. B 1. 0432 d. B 0. 3094 d. B 8 5. 8519 d. B 6. 7989 d. B 0. 9470 d. B 0. 7350 d. B 1. 0303 d. B 0. 2953 d. B 9 5. 6355 d. B 6. 8516 d. B 1. 2161 d. B 0. 7344 d. B 1. 0153 d. B 0. 2809 d. B 10 5. 2408 d. B 6. 8970 d. B 1. 6562 d. B 0. 7009 d. B 1. 0088 d. B 0. 3078 d. B 11 4. 9081 d. B 6. 9351 d. B 2. 0269 d. B 0. 5989 d. B 1. 0004 d. B 0. 4016 d. B 12 3. 4871 d. B 6. 9967 d. B 3. 5096 d. B 0. 2094 d. B 1. 0039 d. B 0. 7945 d. B

Appendix: PAPR Comparison: FDM • PAPR mean of proposed seq. : -0. 2 ~

Appendix: PAPR Comparison: FDM • PAPR mean of proposed seq. : -0. 2 ~ 1. 7 d. B lower than 16 e • PAPR variance of proposed seq. : 0. 0 ~0. 7 d. B lower than 16 e D = 32 # of Subband Mean PAPR Variance of PAPR Proposed 16 e Gain 16 m 16 e Gain 1 3. 0880 d. B 3. 1900 d. B 0. 1020 d. B 0. 1369 d. B 0. 6730 d. B 0. 5361 d. B 2 4. 6377 d. B 4. 4342 d. B - 0. 2035 d. B 0. 8259 d. B 1. 4831 d. B 0. 6571 d. B 3 5. 0249 d. B 5. 0431 d. B 0. 0182 d. B 0. 9167 d. B 1. 0836 d. B 0. 1669 d. B 4 5. 1691 d. B 5. 2332 d. B 0. 0641 d. B 0. 8281 d. B 1. 0823 d. B 0. 2542 d. B 5 5. 1353 d. B 5. 2941 d. B 0. 1588 d. B 0. 8241 d. B 1. 0659 d. B 0. 2418 d. B 6 5. 0456 d. B 5. 2746 d. B 0. 2290 d. B 0. 8158 d. B 1. 0440 d. B 0. 2282 d. B 7 4. 8935 d. B 5. 2161 d. B 0. 3226 d. B 0. 8058 d. B 1. 0038 d. B 0. 1981 d. B 8 4. 6985 d. B 5. 1380 d. B 0. 4395 d. B 0. 7861 d. B 0. 9467 d. B 0. 1607 d. B 9 4. 4510 d. B 5. 0441 d. B 0. 5931 d. B 0. 7559 d. B 0. 8734 d. B 0. 1175 d. B 10 4. 1411 d. B 4. 9340 d. B 0. 7930 d. B 0. 7024 d. B 0. 7868 d. B 0. 0845 d. B 11 3. 7032 d. B 4. 8400 d. B 1. 1367 d. B 0. 6494 d. B 0. 6946 d. B 0. 0452 d. B 12 3. 0364 d. B 4. 7787 d. B 1. 7423 d. B 0. 2407 d. B 0. 3678 d. B 0. 1272 d. B

Appendix: PAPR Comparison: FDM

Appendix: PAPR Comparison: FDM

Appendix: PAPR Comparison: FDM

Appendix: PAPR Comparison: FDM

Appendix: PAPR Comparison: FDM

Appendix: PAPR Comparison: FDM

Appendix: PAPR Comparison: FDM

Appendix: PAPR Comparison: FDM

Appendix: Sounding SNR Comparison • System Level Simulation Condition Parameter Assumption Cell Configuration Hexagonal

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 (d. B) = 130. 19 + 37. 6 log 10(R) (R in km) Site-to-Site Distance 1. 5 km Carrier Frequency 2. 4 GHz Bandwidth 10 Mhz Max MS Tx Power 23 d. Bm Channel Model NLOS: ITU Modified Ped. -B, 3 kmph LOS: ITU Modified Ped. -B with K= 5 d. B, 3 kmph Sounding Multiplexing CDM (P = 6, 9, 18) Sounding Target SINR 10 d. B Sounding Channel Estimation LS

Appendix: Sounding SNR Comparison Loading size =18 tones Loading size =72 tones ( one-band

Appendix: Sounding SNR Comparison Loading size =18 tones Loading size =72 tones ( one-band ) Loading size =864 tones ( full-band ) -P=18 NLOS LOS NLOS 16 e Proposed 16 e Proposed 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 16 e K=1 12. 84 K=4 9. 62 Proposed 15. 07 10. 46 Loading size =72 tones ( one-band ) LOS 16 e 14. 05 11. 74 NLOS Proposed 16. 96 12. 86 16 e Proposed Loading size =864 tones ( full-band ) LOS 16 e Proposed NLOS 16 e Proposed 11. 98 14. 06 12. 36 15. 19 10. 89 12. 66 12. 91 15. 44 5. 22 7. 79 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)

Appendix: Sounding SNR Comparison (P=18)

Appendix: Sounding SNR Comparison (P=9)

Appendix: Sounding SNR Comparison (P=9)