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Se aut n thn enìthta parajètoume thn apìdosh tou proteinìmenou algorÐjmou LCRA se sÔgkrish me difora sq mata multicast kai unicast pou periegrfhsan sthn prohgoÔmenh enìthta mèsa apì difora senria prosomoi¸sewn, ìpwc aut dÐnontai stic upoenìthtec pou akoloujoÔn.
2.7.1 Rujmìc Metdoshc Dedomènwn kai DikaiosÔnh gia Difo- rec Timèc tou SNR
Sta Sq mata 2.3 kai 2.4 èqoume jèsei to BER= 10−6 kai to SNR metablletai apì 0
e¸c 40 kat 5 kje for. O arijmìc twn omdwn poluekpomp c sto sÔstma eÐnai G = 4 me |K1| = |K2| = |K3| = |K4| = 4 MUs h kje mÐa. To Sq ma 2.3 deÐqnei thn fasmatik
apìdosh tou sust matoc gia diforec timèc tou mèsou SNR twn qrhst¸n, en¸ to Sq ma 2.4apeikonÐzei thn dikaiosÔnh se sundiasmì me tic diakumnseic tou mèsou SNR.
Apì to Sq ma 2.3 mporoÔme na diapist¸soume ìti oi algìrijmoi pou enswmat¸noun sthn ulopoÐhs touc metdosh multicast katafèrnoun megluterec apodìseic apì touc algorÐj- mouc unicast kai mlista ìso h mèsh tim tou SNR megal¸nei, tìso pio apodotikoÐ eÐnai oi algìrijmoi multicast ènanti twn unicast. Eidikìtera gia ton algìrijmo LCRA blèpoume ìti ìlec oi ekdoqèc tou katafèrnoun kalÔterouc rujmoÔc metdoshc apì ton TDMA-MC pou
2.7 Apotelèsmata twn Prosomoi¸sewn 51 den qrhsimopoieÐ wc krit rio gia anjesh thn katstash kanalioÔ kje MG kai lÐgo qamhlì- terouc apì ton algorijmì anjeshc upoforèwn sthn ergasÐa [9], o opoÐoc den perilambnei krit ria periorismoÔc gia thn dikaiosÔnh tou sust matoc. To Sq ma 2.4 epibebai¸nei ton isqurismì autì kaj¸c ìlec oi ekdoqèc tou algìrijmou LCRA eÐnai pio dÐkaiec kai mlista anexrthta apì tic metabolèc tou SNR.
Sq ma 2.3: Fasmatik apìdosh tou sust matoc gia diforec timèc tou mèsou SNR.
2.7.2 Rujmìc Metdoshc Dedomènwn kai antÐstoiqh DikaiosÔnh gia diforec timèc BER
To parìn senrio prosomoi¸sewn ereun thn fasmatik apìdosh kai thn antÐstoiqh dikaiosÔnh tou proteinìmenou kaj¸c kai ton proanaferjèntwn algorÐjmwn se sunrthsh me to BER, to opoÐo apoteleÐ shmantikì deÐkth gia to QoS tou sust matoc. Stic prosomoi¸seic mac, to BER kumaÐnetai apì 10−7 e¸c 10−3 me to SNR na eÐnai 20 dB. Ta apotelèsmata
deÐqnoun ìti kaj¸c h mèsh tim tou BER gÐnetai megalÔterh to Ðdio sumbaÐnei kai me thn tim thc fasmatik c apìdoshc.
Par' ìla aut, oi algìrijmoi pou aforoÔn metdosh multicast eÐnai pio apodotikoÐ apì touc autoÔc pou aforoÔn unicast metdosh me thn fasmatik touc apodos na metablletai anloga me thn mèsh tim tou BER, kti pou de sumbaÐnei me to deÐkth dikaiosÔnhc, o opoÐoc
52 Keflaio 2. Diasflish tou QoS me Egguhmèno EÔroc Z¸nhc stouc Qr stec seSust mata Poluekpomp c teqnologÐac MIMO-OFDMA
Sq ma 2.4: DikaiosÔnh tou sust matoc gia diforec timèc tou mèsou SNR. metablletai elqista.
2.7.3 Apìdosh se Epikoinwniakì Peribllon me Pollapl MGs
Se aut th seir prosomoi¸sewn, diforoi arijmoÐ MGs jewroÔntai kai kumaÐnontai apì 2 e¸c 8, ìpou h mèsh tim tou SNR jewreÐtai sta 20 dB kai to BER sto 10−6. To
Sq ma 2.7 apeikonÐzei th fasmatik apìdosh tou sust matoc, diafìrwn algorÐjmwn pou perilambnoun th metdosh multicast sthn ulopoihs touc kai leitourgoÔn se peribllonta ìpou oi uphresÐec multicast alli¸c ta MGs sto sÔsthma eÐnai pollapl, en¸ to Sq ma 2.8 apeikonÐzei th dikaiosÔnh tou sust matoc.
Apì to Sq ma 2.7, mporoÔme na diapist¸soume thn antistjmish pou uprqei metaxÔ tou eÔrouc twn radiopìrwn pou eggÔatai o algìrijmoc LCRA se kje MG kai thc sunolik c fasmatik c apìdoshc. EpÐshc diapist¸noume ìti kaj¸c o arijmìc twn omdwn poluekpom- p c gÐnetai megalÔteroc, antÐstoiqa megal¸nei kai h tim thc fasmatik c apìdoshc. To fainìmeno autì ofeÐletai ston epiplèon diaforismì pou prosjètei h Ôparxh perissotèrwn omdwn poluekpomp c sto sÔsthma. AntÐjeta ìmwc me thn fasmatik apìdosh, h dikaiosÔ- nh mei¸netai. Se antistoiqÐa ìmwc me sumpersmata thc ergasÐac [32], h apìdosh ìlwn twn algorÐjmwn ja aggÐxei èna ìrio akìma kai an o arijmìc twn MG teÐnei sto peiro.
2.7 Apotelèsmata twn Prosomoi¸sewn 53
Sq ma 2.5: H fasmatik apìdosh tou sust matoc gia diforec timèc tou BER.
2.7.4 Katanom eÔrouc z¸nhc
jewroÔme dÔo diaforetikèc multicast uphresÐec pou parèqontai stouc qr stec. Epomè- nwc, oi qr stec qwrÐzontai se dÔo MGs, to MG-1 kai to MG-2 me |K1| = |K2| = 8 MUs
to kje èna. Ta Sq mata 2.9 kai 2.10 apeikonÐzoun thn fasmatik apìdosh, kaj¸c epÐshc kai thn dikaiosÔnh tou sust matoc gia difora megèjh thc mèshc tim c tou SNR, sthn pe- rÐptwsh pou den uprqei diafor stic ap¸leiec didoshc metaxÔ twn dÔo omdwn qrhst¸n kai kuriarqoÔn oi dialeÐyeic tou kanalioÔ.
'Omoiec grafikèc parastseic dÐnontai sta Sq mata 2.11, 2.12, ìpou uprqei 5 dB diafor stic ap¸leiec didoshc metaxÔ twn dÔo MGs. O rujmìc metdoshc (bits/s/Hz) kje omdac poluekpomp c xeqwrist parèqetai sta Sq mata 2.13, 2.14. Stic kampÔlec apìdoshc tou Sq matoc 2.13 den uprqei diafor sthn tim twn apwlei¸n didoshc metaxÔ twn dÔo MGs kai kajoristikìc pargontac stic sunj kec kanalioÔ tou enìc MG se sqèsh me to llo, eÐnai oi gr gorec dialeÐyeic. AntÐjeta stic kampÔlec tou Sq matoc 2.14, kurÐarqoc pargontac eÐnai oi ap¸leiec didoshc.
EpÐshc o trìpoc me ton opoÐo katanèmetai to eÔroc z¸nhc gia tic peript¸seic pou me- letme kai gia touc algìrijmouc pou exetzoume dÐnetai sta Sq mata 2.15 kai 2.16. Se aut thn enìthta jewroÔme mÐa ekdoq tou algorÐjmou LCRA me m = 2, to opoÐo shmaÐnei
54 Keflaio 2. Diasflish tou QoS me Egguhmèno EÔroc Z¸nhc stouc Qr stec seSust mata Poluekpomp c teqnologÐac MIMO-OFDMA
Sq ma 2.6: H dikaiosÔnh tou sust matoc gia diforec timèc tou BER.
ìti gia kje MG, o algìrijmoc eggutai prìsbash se Cj = bN/(2 · 2)c = 32, upoforeÐc,
j = 1, . . . , G.
Apì ta Sq mata 2.9, 2.11, diapist¸noume to arnhtikì antÐktupo twn apwlei¸n didoshc sthn olik fasmatik apìdosh gia ìlouc touc algorÐjmouc. Epiplèon, oi apodìseic ìlwn twn sqhmtwn eÐnai parapl siec sthn perÐptwsh ìpou den lambnontai up' ìyh oi ap¸leiec didoshc. Apì thn llh meri, ìtan jewroÔntai sto sÔsthma oi ap¸leiec didoshc, to proteinìmeno sq ma apodÐdei qamhlìterh olik fasmatik apìdosh apì thn teqnik anjeshc upoforèwn sthn ergasÐa [9] kai megalÔterh apì thn teqnik TDMA (bl. Sq ma 2.11). Ta Sq mata 2.10, 2.12 deÐqnoun thn meÐwsh tou deÐkth dikaiosÔnhc gia ìlec tic teqnikèc kai mia mikr aÔxhsh sthn diafor twn deikt¸n metaxÔ twn teqnik¸n.
Sthn perÐptwsh pou den jewroÔntai oi ap¸leiec didoshc, oi rujmoÐ metdoshc twn MGs faÐnetai ìti parousizoun amelhtèec diaforèc, ìpwc epÐshc kai to eÔroc z¸nhc to opoÐo anatÐjetai sthn kje omda qrhst¸n. Eidikìtera, h mèsh tim upoforèwn eÐnai 64.6 kai 63.4 upoforeÐc gia to MG-1 kai MG-2 antÐstoiqa sÔmfwna me to sq ma anjeshc upoforèwn thc [9]. O proteinìmenoc algìrijmoc dÐnei 64.4 upoforeÐc sto MG-1 kai 63.4 upoforeÐc sto MG-2 kat mèso ìro, en¸ me thn teqnik TDMA uprqei apìluth dikaiosÔnh me 64 upoforeÐc gia to kje MG.