COPYRIGHT © 2011 ALCATEL-LUCENT. ALL RIGHTS RESERVED. ALCATEL-LUCENT —USE PURSUANT TO COMPANY...

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COPYRIGHT © 2011 ALCATEL-LUCENT. ALL RIGHTS RESERVED. ALCATEL-LUCENT —USE PURSUANT TO COMPANY INSTRUCTION 1 D ocum entC over Sheet ProjectN um ber PN -3-0062-RV2 D ocum entTitle H M M C lusterA nalysis Source Alcatel-Lucent C ontact LesJ. W u Alcatel-Lucent 600 M ountain A venue R oom 2b-219 M urray H ill, NJ07974 Phone: 908-582-4964 Fax: 908-582-4964 Em ail: les.j.w u@ alcatel-lucent.com D istribution TR-30.3 ForIncorporation Into TIA Publication X ForInformation Intended Purpose ofD ocum ent (Selectone) O ther(describe)- The docum ent to w hich this cover statem ent is attached is subm itted to a Form ulating G roup or sub-elem entthereofofthe T elecom m unications Industry A ssociation (TIA )in accordance w ith the provisions ofSections 6.4.1–6.4.6 inclusive ofthe TIA Engineering M anualdated O ctober 2009,all ofw hich provisionsare hereby incorporated by reference. A bstract Com parison ofM arkov M odelExtraction and ClusterA nalysisbetw een TIA -921B testcasesand TIA SG -12 packetlosson IPTV pcap filesfrom TIA -921B. Telecommunications Industry Association TR-30.3/11-08-014 Telecon August 16, 2011

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Document Cover Sheet

Project Number PN-3-0062-RV2

Document Title HMM Cluster Analysis

Source Alcatel-Lucent

Contact Les J. Wu

Alcatel-Lucent

600 Mountain Avenue

Room 2b-219

Murray Hill, NJ 07974

Phone: 908-582-4964

Fax: 908-582-4964 Email: [email protected]

Distribution TR-30.3

For Incorporation Into TIA Publication X For Information

Intended Purpose of Document (Select one) Other (describe) -

The document to which this cover statement is attached is submitted to a Formulating Group or sub-element thereof of the Telecommunications Industry Association (TIA) in accordance with the provisions of Sections 6.4.1–6.4.6 inclusive of the TIA Engineering Manual dated October 2009, all of which provisions are hereby incorporated by reference.

Abstract

Comparison of Markov Model Extraction and Cluster Analysis between TIA-921B test cases and TIA SG-12 packet loss on IPTV pcap files from TIA-921B.

Telecommunications Industry Association TR-30.3/11-08-014Telecon August 16, 2011

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HMM Cluster Analysis

Les J. WuAugust 2011

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G1050 Examples(Counter results from Telchemy vqcapture alpha)

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Loss Generation

TGT="SD_cbr"TGT="HD_cbr"

# 4 state defaulttpkloss -m 4 -s 2000 -e 500 -pba 0.3 -pbc 0.02 -g 0.05 -b 0.3 -i $TGT.pcap –o $TGT.def.pcap

# 4 state customtpkloss -m 4 -s 2000 -e 500 -pba 0.3 -pbc 0.02 -pdc 0.4 -pcd 0.02 -pcb 0.5 -g 0.05 -b 0.3 -i $ TGT.pcap -o $ TGT.cus.pcap

# 1-7% loss in .5% stepsfor loss in 10 15 20 25 30 35 40 45 50 55 60 65 70 do echo "Processing $loss"

tpkloss -loss_ratio 0.0$loss -gap_ratio 0.7 -i $ TGT.pcap -o $ TGT.$loss.pcap

done

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Pairwise P-Plot

TIA-921 Model tpkloss

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Probability Comparison

TIA-921 Model

tpkloss

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HMM Probabilities and Component Comparison (1)

TIA-921 Model

tpkloss

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HMM Probabilities and Component Comparison (2)

TIA-921 Model

tpkloss

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Model Comparison

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Backup

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R Commands

> hmm<-read.csv("hmm.csv")

> vec<-c("red", "red", "blue", "blue", "green", "green")

> class<-unclass(hmm$file)

> class2<-unclass(hmm$codec)

> vec2=c("blue", "red", "green")

> class

> class2

> pairs(na.omit(hmm[10:16]), pch=21, bg=vec[class])

> pairs(na.omit(hmm[17:20]), pch=21, bg=vec[class])

> hmm.prc<-princomp(na.omit(hmm[,10:16]))

> summary(hmm.prc, loadings=TRUE)

> pairs(hmm.prc$scores, pch=21, bg=vec[class])

> hmm.prc<-princomp(na.omit(hmm[,18:20]))

> summary(hmm.prc, loadings=TRUE)

> pairs(hmm.prc$scores, pch=21, bg=vec[class])

> plot(hmm.prc$scores[,1:2], pch=21, bg=vec2[class2],main="r-video b-audio")

> plot(hmm.prc$scores[,1:2], pch=21, bg=vec[class],main="r-HD b-SD")

> plot(hmm.prc$scores[,1:2], pch=21, bg=vec[class])

> text(hmm.prc$scores[,1:2], labels=class, pos=4)

> vec<-c("red", "red", "blue", "blue", "green", "green")

> pairs(hmm.prc$scores, pch=21, bg=vec[unclass(hmm$file)])

case file codec c11 c13 c14 c22 c23 c33 p11 p13 p31 p32 p33 p22Dw1 HDTV1_Downaudio 86939 105 22 27 2 661 0.99879 0.00121 0.13672 0.0026 0.86068 0.93103Dw2 HDTV1_Downaudio 86965 117 18 5 1 648 0.99866 0.00134 0.15274 0.00131 0.84595 0.83333Dw3 HDTV1_Downaudio 86960 90 22 0 0 678 0.99897 0.00103 0.11719 0 0.88281 NADw4 HDTV1_Downaudio 86943 100 32 15 2 655 0.99885 0.00115 0.1321 0.00264 0.86526 0.88235Dw5 HDTV1_Downaudio 86829 121 92 50 7 646 0.99861 0.00139 0.15633 0.00904 0.83463 0.87719Dw6 HDTV1_Downaudio 86848 117 89 33 7 649 0.99865 0.00135 0.15136 0.00906 0.83959 0.825Dw7 HDTV1_Downaudio 86842 117 90 32 5 653 0.99865 0.00135 0.15097 0.00645 0.84258 0.86486Dw8 HDTV1_Downaudio 86790 126 103 63 7 646 0.99855 0.00145 0.16175 0.00899 0.82927 0.9Gw1 HDTV1_Downaudio 86979 168 0 0 0 609 0.99807 0.00193 0.21622 0 0.78378 NAGw2 HDTV1_Downaudio 86977 168 0 0 0 609 0.99807 0.00193 0.21622 0 0.78378 NAGw3 HDTV1_Downaudio 86973 168 0 0 0 609 0.99807 0.00193 0.21622 0 0.78378 NAGw4 HDTV1_Downaudio 86970 168 0 0 0 609 0.99807 0.00193 0.21622 0 0.78378 NAGw5 HDTV1_Downaudio 86968 168 0 0 0 609 0.99807 0.00193 0.21622 0 0.78378 NAGw6 HDTV1_Downaudio 86964 167 3 0 0 609 0.99808 0.00192 0.21521 0 0.78479 NAGw7 HDTV1_Downaudio 86962 168 0 0 0 609 0.99807 0.00193 0.21622 0 0.78378 NAGw8 HDTV1_Downaudio 86957 168 1 0 0 609 0.99807 0.00193 0.21622 0 0.78378 NADw3 HDTV2_Downaudio 100179 2 7 0 0 2 0.99998 0.00002 0.5 0 0.5 NAGw3 HDTV2_Downaudio 100186 2 0 0 0 2 0.99998 0.00002 0.5 0 0.5 NADp1 SDTV1_Downaudio 12807 144 83 0 0 899 0.98888 0.01112 0.13806 0 0.86194 NADp2 SDTV1_Downaudio 12769 155 18 25 5 961 0.98801 0.01199 0.13827 0.00446 0.85727 0.83333Dp3 SDTV1_Downaudio 12754 191 27 45 4 911 0.98525 0.01475 0.17269 0.00362 0.82369 0.91837Dp4 SDTV1_Downaudio 12021 172 72 641 83 930 0.98589 0.01411 0.14515 0.07004 0.78481 0.88536Dp6 SDTV1_Downaudio 12047 163 69 607 82 942 0.98665 0.01335 0.13732 0.06908 0.7936 0.88099Dw2 SDTV1_Downaudio 12804 169 20 0 0 940 0.98697 0.01303 0.15239 0 0.84761 NADw4 SDTV1_Downaudio 12793 156 73 12 2 896 0.98795 0.01205 0.14801 0.0019 0.85009 0.85714Dw5 SDTV1_Downaudio 12734 178 38 63 7 912 0.98621 0.01379 0.16226 0.00638 0.83136 0.9Dw6 SDTV1_Downaudio 12761 175 26 31 4 934 0.98647 0.01353 0.15723 0.00359 0.83917 0.88571Dw7 SDTV1_Downaudio 12737 174 7 55 7 951 0.98652 0.01348 0.15371 0.00618 0.84011 0.8871Gp1 SDTV1_Downaudio 12808 124 24 0 0 977 0.99041 0.00959 0.11262 0 0.88738 NAGp2 SDTV1_Downaudio 12808 124 24 0 0 977 0.99041 0.00959 0.11262 0 0.88738 NAGp3 SDTV1_Downaudio 12807 124 24 0 0 977 0.99041 0.00959 0.11262 0 0.88738 NAGp4 SDTV1_Downaudio 12807 124 24 0 0 977 0.99041 0.00959 0.11262 0 0.88738 NAGp6 SDTV1_Downaudio 12804 124 24 0 0 977 0.99041 0.00959 0.11262 0 0.88738 NAGw2 SDTV1_Downaudio 12808 124 24 0 0 977 0.99041 0.00959 0.11262 0 0.88738 NAGw4 SDTV1_Downaudio 12807 124 24 0 0 977 0.99041 0.00959 0.11262 0 0.88738 NAGw5 SDTV1_Downaudio 12807 124 24 0 0 977 0.99041 0.00959 0.11262 0 0.88738 NAGw6 SDTV1_Downaudio 12806 124 24 0 0 977 0.99041 0.00959 0.11262 0 0.88738 NAGw7 SDTV1_Downaudio 12806 124 24 0 0 977 0.99041 0.00959 0.11262 0 0.88738 NADp1 SDTV2_Downaudio 17898 156 15 0 0 775 0.99136 0.00864 0.16756 0 0.83244 NADp2 SDTV2_Downaudio 17875 141 31 8 2 786 0.99217 0.00783 0.15178 0.00215 0.84607 0.8Dp3 SDTV2_Downaudio 17806 141 30 68 7 790 0.99214 0.00786 0.15032 0.00746 0.84222 0.90667Dp4 SDTV2_Downaudio 16954 163 109 717 86 811 0.99048 0.00952 0.15377 0.08113 0.76509 0.8929Dp5 SDTV2_Downaudio 17351 153 116 362 59 800 0.99126 0.00874 0.15119 0.0583 0.79051 0.85986Dp6 SDTV2_Downaudio 17062 162 107 616 81 797 0.99059 0.00941 0.15577 0.07788 0.76635 0.88379Dw4 SDTV2_Downaudio 17895 150 19 0 0 778 0.99169 0.00831 0.16164 0 0.83836 NADw6 SDTV2_Downaudio 17839 147 24 29 5 797 0.99183 0.00817 0.1549 0.00527 0.83983 0.85294Dw7 SDTV2_Downaudio 17803 145 28 59 9 796 0.99192 0.00808 0.15263 0.00947 0.83789 0.86765Gp1 SDTV2_Downaudio 17899 156 15 0 0 774 0.99136 0.00864 0.16774 0 0.83226 NAGp2 SDTV2_Downaudio 17898 156 15 0 0 774 0.99136 0.00864 0.16774 0 0.83226 NAGp3 SDTV2_Downaudio 17897 156 15 0 0 774 0.99136 0.00864 0.16774 0 0.83226 NAGp4 SDTV2_Downaudio 17897 156 15 0 0 774 0.99136 0.00864 0.16774 0 0.83226 NAGp5 SDTV2_Downaudio 17890 140 21 4 2 784 0.99224 0.00776 0.15119 0.00216 0.84665 0.66667Gp6 SDTV2_Downaudio 17893 156 15 0 0 774 0.99136 0.00864 0.16774 0 0.83226 NAGw4 SDTV2_Downaudio 17897 156 15 0 0 774 0.99136 0.00864 0.16774 0 0.83226 NA

Save Me as hmm.csv:

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TPKLOSS Model DataSave Me as sg12.csv:

case filename codec c11 c13 c14 c22 c23 c33 p11 p13 p31 p32 p331 SD_cbr.10 SDv 1139247 1335 4 17599 300 9828 0.99883 0.00117 0.11646 0.02617 0.857371 SD_cbr.10 SDa 23252 29 163 231 28 6 0.99875 0.00125 0.46032 0.44444 0.09524

1.5 SD_cbr.15 SDv 1120130 1808 2 31639 539 13779 0.99839 0.00161 0.11212 0.03342 0.854461.5 SD_cbr.15 SDa 22838 66 207 514 73 11 0.99712 0.00288 0.44 0.48667 0.07333

2 SD_cbr.20 SDv 1082650 2324 1 61716 1039 19751 0.99786 0.00214 0.10055 0.04495 0.85452 SD_cbr.20 SDa 22143 108 259 1054 125 20 0.99515 0.00485 0.42688 0.49407 0.07905

2.5 SD_cbr.25 SDv 1053271 2565 0 85861 1455 23817 0.99757 0.00243 0.09214 0.05227 0.855592.5 SD_cbr.25 SDa 21772 139 244 1333 184 37 0.99366 0.00634 0.38611 0.51111 0.10278

3 SD_cbr.30 SDv 1019370 2802 1 113680 2022 29014 0.99726 0.00274 0.08281 0.05976 0.857443 SD_cbr.30 SDa 20934 191 259 2018 263 42 0.99096 0.00904 0.38508 0.53024 0.08468

3.5 SD_cbr.35 SDv 979391 2974 3 148617 2590 32786 0.99697 0.00303 0.07755 0.06754 0.854923.5 SD_cbr.35 SDa 20213 216 268 2624 343 45 0.98943 0.01057 0.35762 0.56788 0.0745

4 SD_cbr.40 SDv 937170 3166 2 184588 3293 37886 0.99663 0.00337 0.07139 0.07426 0.854354 SD_cbr.40 SDa 19797 235 249 2966 408 53 0.98827 0.01173 0.33764 0.58621 0.07615

4.5 SD_cbr.45 SDv 890657 3211 0 225431 4095 42647 0.99641 0.00359 0.06428 0.08198 0.853744.5 SD_cbr.45 SDa 18958 262 241 3676 506 66 0.98637 0.01363 0.31415 0.60671 0.07914

5 SD_cbr.50 SDv 845211 3191 2 264340 4851 47678 0.99624 0.00376 0.05727 0.08706 0.855675 SD_cbr.50 SDa 18127 317 214 4325 643 82 0.98281 0.01719 0.30422 0.61708 0.07869

5.5 SD_cbr.55 SDv 806496 3205 1 296890 5596 52541 0.99604 0.00396 0.05225 0.09123 0.856535.5 SD_cbr.55 SDa 17240 321 207 5126 714 101 0.98172 0.01828 0.28257 0.62852 0.08891

6 SD_cbr.60 SDv 765127 3188 1 335914 6324 54527 0.99585 0.00415 0.04978 0.09875 0.851476 SD_cbr.60 SDa 17792 326 228 4592 672 99 0.98201 0.01799 0.29717 0.61258 0.09025

6.5 SD_cbr.65 SDv 715532 3136 0 376641 7266 60734 0.99564 0.00436 0.04408 0.10214 0.853776.5 SD_cbr.65 SDa 15796 347 172 6312 955 127 0.9785 0.0215 0.24283 0.6683 0.08887

7 SD_cbr.70 SDv 665303 3040 1 421722 8152 64835 0.99545 0.00455 0.03999 0.10723 0.852797 SD_cbr.70 SDa 15438 355 153 6617 1003 142 0.97752 0.02248 0.23667 0.66867 0.09467

SD_cbr.cus SDv 1075823 2435 0 70530 1324 19600 0.99774 0.00226 0.10424 0.05668 0.83908SD_cbr.cus SDa 22352 99 234 902 119 3 0.99559 0.00441 0.44796 0.53846 0.01357SD_cbr.def SDv 1049164 2528 1 91226 1933 24572 0.9976 0.0024 0.08707 0.06658 0.84635SD_cbr.def SDa 21693 139 255 1412 186 24 0.99363 0.00637 0.39828 0.53295 0.06877SD_cbr.out SDv 1020622 2770 0 113849 2001 27631 0.99729 0.00271 0.08549 0.06176 0.85276SD_cbr.out SDa 21248 170 258 1745 253 35 0.99206 0.00794 0.37118 0.5524 0.07642

1 HD_cbr.10 HDv 1127794 1404 1 18797 314 10032 0.99876 0.00124 0.11949 0.02672 0.853791 HD_cbr.10 HDa 40226 61 309 392 54 27 0.99849 0.00151 0.42958 0.38028 0.19014

1.5 HD_cbr.15 HDv 1106839 1797 3 35163 581 13623 0.99838 0.00162 0.11231 0.03631 0.851381.5 HD_cbr.15 HDa 39620 113 347 825 120 44 0.99716 0.00284 0.40794 0.43321 0.15884

2 HD_cbr.20 HDv 1074102 2211 0 62000 1025 18636 0.99795 0.00205 0.10109 0.04686 0.852052 HD_cbr.20 HDa 38852 164 366 1434 190 63 0.9958 0.0042 0.39329 0.45564 0.15108

2.5 HD_cbr.25 HDv 1042369 2533 0 87358 1484 23622 0.99758 0.00242 0.09165 0.05369 0.854662.5 HD_cbr.25 HDa 37648 252 414 2352 309 93 0.99335 0.00665 0.38532 0.47248 0.1422

3 HD_cbr.30 HDv 1006719 2745 3 117953 2020 27510 0.99728 0.00272 0.08505 0.06259 0.852363 HD_cbr.30 HDa 37146 277 433 2713 376 124 0.9926 0.0074 0.3565 0.48391 0.15959

3.5 HD_cbr.35 HDv 958750 2931 2 159729 2778 32872 0.99695 0.00305 0.07597 0.072 0.852033.5 HD_cbr.35 HDa 35443 353 418 4172 575 108 0.99014 0.00986 0.34073 0.55502 0.10425

4 HD_cbr.40 HDv 924324 3068 2 188947 3376 36734 0.99669 0.00331 0.07105 0.07819 0.850764 HD_cbr.40 HDa 34700 406 426 4725 665 146 0.98844 0.01156 0.33361 0.54643 0.11997

4.5 HD_cbr.45 HDv 864614 3092 1 242110 4268 42225 0.99644 0.00356 0.06236 0.08607 0.851574.5 HD_cbr.45 HDa 33123 455 419 6039 843 189 0.98645 0.01355 0.30599 0.56691 0.1271

5 HD_cbr.50 HDv 827925 3105 1 272832 4970 46645 0.99626 0.00374 0.05674 0.09083 0.852435 HD_cbr.50 HDa 32064 496 399 6933 991 185 0.98477 0.01523 0.29665 0.5927 0.11065

5.5 HD_cbr.55 HDv 773416 3092 3 321927 5895 51289 0.99602 0.00398 0.0513 0.0978 0.85095.5 HD_cbr.55 HDa 31052 543 372 7741 1144 217 0.98281 0.01719 0.28519 0.60084 0.11397

6 HD_cbr.60 HDv 742750 3093 4 347260 6518 55933 0.99585 0.00415 0.04719 0.09944 0.853376 HD_cbr.60 HDa 30514 557 381 8154 1225 238 0.98207 0.01793 0.27574 0.60644 0.11782

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Pairwise P-Plot

TIA-921 Model tpkloss

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Pairwise Component Plot

TIA-921 Model tpkloss

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