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v2 design: independent masks + affinity-aware Wiener demultiplexer

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Redesign after the independent-mask dominance finding: the affinity
now parameterizes the receiver (closed-form Wiener) instead of the
mask ensemble. New Theorem 1 (spectral closed form), floors
sqrt(1-b^2)/2 vs 1/2, full-cooperation bound with equality at b=1.
GPU (torch) Monte Carlo backend, decision-directed SIC baseline,
TikZ block diagram source, verification suite V1-V11.
This commit is contained in:
KiHoLee
2026-08-17 02:12:10 +09:00
parent b8b853e62e
commit 358faecc0c
29 changed files with 1777 additions and 1514 deletions
Download Patch File Download Diff File Expand all files Collapse all files
data/multiuser_corrected.csv
+40 -40
View File
@@ -1,40 +1,40 @@
U,snr_db,edma,oma
2,0.0,0.005074924495401339,0.0028163887856167778
2,2.5,0.00900326092256961,0.005006425437490073
2,5.0,0.015943181620258408,0.008896821012114422
2,7.5,0.028141662406857754,0.015802100105602065
2,10.0,0.04939420068532773,0.028040940629869258
2,12.5,0.08585687636915751,0.04967759953004671
2,15.0,0.14680246472845263,0.08775733805059951
2,17.5,0.24437407492333546,0.15425664820473364
2,20.0,0.39036168250847997,0.2688526404418522
2,22.5,0.5882403211652596,0.46202930580118473
2,25.0,0.8236174091640396,0.7765249721523131
2,27.5,1.0639633374340793,1.2629750132730075
2,30.0,1.2740371164829405,1.9659871493886203
3,0.0,0.007166121727981404,0.002816846908845676
3,2.5,0.012688743558228709,0.005007872928745025
3,5.0,0.022393454021796717,0.00890139152557443
3,7.5,0.03929335948023371,0.015816514922095765
3,10.0,0.0682640356183996,0.028086309611073952
3,12.5,0.11661479903052363,0.04981987507531682
3,15.0,0.19381754610825597,0.08820067087182441
3,17.5,0.3087986357540208,0.15562283620381148
3,20.0,0.46347315369044484,0.27298359666177824
3,22.5,0.6453865207846086,0.4741321857975819
3,25.0,0.8284280872854691,0.8102498992888099
3,27.5,0.9858586691638921,1.3502134677042328
3,30.0,1.1039774302731393,2.1701295882547527
4,0.0,0.009176956996801149,0.002817076044986573
4,2.5,0.01621312884680335,0.005008597092951442
4,5.0,0.028502070980983823,0.008903679130992838
4,7.5,0.04967547887822116,0.015823735486660634
4,10.0,0.08531654320798115,0.028109067575874017
4,12.5,0.14302271741867906,0.04989142100177373
4,15.0,0.2308213082888609,0.08842458349643963
4,17.5,0.3525340922014516,0.15631809220986412
4,20.0,0.5011822600084102,0.27511311194165045
4,22.5,0.6570342137422986,0.4805054388299137
4,25.0,0.7963620296794736,0.8286132554549862
4,27.5,0.9042441392584162,1.4000909956579182
4,30.0,0.9788428109037877,2.294588749973288
U,snr_db,edma_mc,blind,oma,mse_mc
2,0.0,0.0067459622753358985,0.005619067173648297,0.0028163887856167778,0.9976647585630417
2,2.5,0.011675481754301935,0.009969612776119413,0.005006425437490073,0.9959617620706558
2,5.0,0.020286535908117426,0.017657570045582938,0.008896821012114422,0.9929938805103302
2,7.5,0.035291135414103295,0.03117756291292608,0.015802100105602065,0.9878435188531876
2,10.0,0.06125380524795852,0.054752877862610065,0.028040940629869258,0.978994796872139
2,12.5,0.10554787426027339,0.09526158699989311,0.04967759953004671,0.9640808624029159
2,15.0,0.17922846076711016,0.16314404591732876,0.08775733805059951,0.9397740066051483
2,17.5,0.29671520331202866,0.27228552723458505,0.15425664820473364,0.9022770518064499
2,20.0,0.47207515868714434,0.4366911765474922,0.2688526404418522,0.8490741294622421
2,22.5,0.7100570759041679,0.6617728169555368,0.46202930580118473,0.7818541771173477
2,25.0,0.9952787609812811,0.9331238669104754,0.7765249721523131,0.708264736533165
2,27.5,1.290911785811443,1.2146443868700316,1.2629750132730075,0.639290742278099
2,30.0,1.5545191724506118,1.4647566493411088,1.9659871493886203,0.5834740561246872
3,0.0,0.008221550750832831,0.008412218630107837,0.002816846908845676,0.9981022214889527
3,2.5,0.015313679039211471,0.014902926454674073,0.005007872928745025,0.9964680409431458
3,5.0,0.028029675597543307,0.026325253299532562,0.00890139152557443,0.9935446953773499
3,7.5,0.050514313628626004,0.04626641612972433,0.015816514922095765,0.988396560549736
3,10.0,0.08952942310946198,0.08059981755804599,0.028086309611073952,0.9795267921686173
3,12.5,0.15534005610649262,0.13832515321163041,0.04981987507531682,0.9647452771663666
3,15.0,0.2615951480089572,0.2316168228614546,0.08820067087182441,0.9413490122556687
3,17.5,0.4221435294251369,0.3731878021467334,0.15562283620381148,0.9070698082447052
3,20.0,0.6428146293469728,0.5688074586563354,0.27298359666177824,0.8619812881946564
3,22.5,0.9107931284704225,0.8069275801266587,0.4741321857975819,0.8102293717861175
3,25.0,1.192151455674711,1.0559460071626627,0.8102498992888099,0.7592338293790817
3,27.5,1.4460078396289984,1.2782661617838726,1.3502134677042328,0.7159830737113952
3,30.0,1.6453250009668556,1.4503691419311937,2.1701295882547527,0.6837582939863205
4,0.0,0.015142645594341335,0.011194533410694072,0.002817076044986573,0.9973794192075729
4,2.5,0.02657168051302456,0.01980238285260359,0.005008597092951442,0.9954060631990432
4,5.0,0.04649602868391863,0.03488813263113353,0.008903679130992838,0.9919752240180969
4,7.5,0.0808285062062145,0.0610360844265235,0.015823735486660634,0.9860911220312119
4,10.0,0.1387823700129495,0.10550166169718982,0.028109067575874017,0.9762377244234085
4,12.5,0.23327828100624443,0.17872115676402342,0.04989142100177373,0.9603821069002152
4,15.0,0.3790651258653871,0.29313196378582485,0.08842458349643963,0.9364239370822907
4,17.5,0.5861777540534772,0.458064715640174,0.15631809220986412,0.9034117364883423
4,20.0,0.8490808651568857,0.6702163879182615,0.27511311194165045,0.8631778705120087
4,22.5,1.1397156040760281,0.9064855445133952,0.48050543882991376,0.8207820576429367
4,25.0,1.4160565809869674,1.1309122590875245,0.8286132554549861,0.7824041104316711
4,27.5,1.6433747432527392,1.3140736832668964,1.4000909956579182,0.752183369398117
4,30.0,1.808776977801607,1.4458968914537418,2.294588749973288,0.7309303051233291
1 U snr_db edma edma_mc blind oma mse_mc
2 2 0.0 0.005074924495401339 0.0067459622753358985 0.005619067173648297 0.0028163887856167778 0.9976647585630417
3 2 2.5 0.00900326092256961 0.011675481754301935 0.009969612776119413 0.005006425437490073 0.9959617620706558
4 2 5.0 0.015943181620258408 0.020286535908117426 0.017657570045582938 0.008896821012114422 0.9929938805103302
5 2 7.5 0.028141662406857754 0.035291135414103295 0.03117756291292608 0.015802100105602065 0.9878435188531876
6 2 10.0 0.04939420068532773 0.06125380524795852 0.054752877862610065 0.028040940629869258 0.978994796872139
7 2 12.5 0.08585687636915751 0.10554787426027339 0.09526158699989311 0.04967759953004671 0.9640808624029159
8 2 15.0 0.14680246472845263 0.17922846076711016 0.16314404591732876 0.08775733805059951 0.9397740066051483
9 2 17.5 0.24437407492333546 0.29671520331202866 0.27228552723458505 0.15425664820473364 0.9022770518064499
10 2 20.0 0.39036168250847997 0.47207515868714434 0.4366911765474922 0.2688526404418522 0.8490741294622421
11 2 22.5 0.5882403211652596 0.7100570759041679 0.6617728169555368 0.46202930580118473 0.7818541771173477
12 2 25.0 0.8236174091640396 0.9952787609812811 0.9331238669104754 0.7765249721523131 0.708264736533165
13 2 27.5 1.0639633374340793 1.290911785811443 1.2146443868700316 1.2629750132730075 0.639290742278099
14 2 30.0 1.2740371164829405 1.5545191724506118 1.4647566493411088 1.9659871493886203 0.5834740561246872
15 3 0.0 0.007166121727981404 0.008221550750832831 0.008412218630107837 0.002816846908845676 0.9981022214889527
16 3 2.5 0.012688743558228709 0.015313679039211471 0.014902926454674073 0.005007872928745025 0.9964680409431458
17 3 5.0 0.022393454021796717 0.028029675597543307 0.026325253299532562 0.00890139152557443 0.9935446953773499
18 3 7.5 0.03929335948023371 0.050514313628626004 0.04626641612972433 0.015816514922095765 0.988396560549736
19 3 10.0 0.0682640356183996 0.08952942310946198 0.08059981755804599 0.028086309611073952 0.9795267921686173
20 3 12.5 0.11661479903052363 0.15534005610649262 0.13832515321163041 0.04981987507531682 0.9647452771663666
21 3 15.0 0.19381754610825597 0.2615951480089572 0.2316168228614546 0.08820067087182441 0.9413490122556687
22 3 17.5 0.3087986357540208 0.4221435294251369 0.3731878021467334 0.15562283620381148 0.9070698082447052
23 3 20.0 0.46347315369044484 0.6428146293469728 0.5688074586563354 0.27298359666177824 0.8619812881946564
24 3 22.5 0.6453865207846086 0.9107931284704225 0.8069275801266587 0.4741321857975819 0.8102293717861175
25 3 25.0 0.8284280872854691 1.192151455674711 1.0559460071626627 0.8102498992888099 0.7592338293790817
26 3 27.5 0.9858586691638921 1.4460078396289984 1.2782661617838726 1.3502134677042328 0.7159830737113952
27 3 30.0 1.1039774302731393 1.6453250009668556 1.4503691419311937 2.1701295882547527 0.6837582939863205
28 4 0.0 0.009176956996801149 0.015142645594341335 0.011194533410694072 0.002817076044986573 0.9973794192075729
29 4 2.5 0.01621312884680335 0.02657168051302456 0.01980238285260359 0.005008597092951442 0.9954060631990432
30 4 5.0 0.028502070980983823 0.04649602868391863 0.03488813263113353 0.008903679130992838 0.9919752240180969
31 4 7.5 0.04967547887822116 0.0808285062062145 0.0610360844265235 0.015823735486660634 0.9860911220312119
32 4 10.0 0.08531654320798115 0.1387823700129495 0.10550166169718982 0.028109067575874017 0.9762377244234085
33 4 12.5 0.14302271741867906 0.23327828100624443 0.17872115676402342 0.04989142100177373 0.9603821069002152
34 4 15.0 0.2308213082888609 0.3790651258653871 0.29313196378582485 0.08842458349643963 0.9364239370822907
35 4 17.5 0.3525340922014516 0.5861777540534772 0.458064715640174 0.15631809220986412 0.9034117364883423
36 4 20.0 0.5011822600084102 0.8490808651568857 0.6702163879182615 0.27511311194165045 0.8631778705120087
37 4 22.5 0.6570342137422986 1.1397156040760281 0.9064855445133952 0.4805054388299137 0.48050543882991376 0.8207820576429367
38 4 25.0 0.7963620296794736 1.4160565809869674 1.1309122590875245 0.8286132554549862 0.8286132554549861 0.7824041104316711
39 4 27.5 0.9042441392584162 1.6433747432527392 1.3140736832668964 1.4000909956579182 0.752183369398117
40 4 30.0 0.9788428109037877 1.808776977801607 1.4458968914537418 2.294588749973288 0.7309303051233291