Channel Assignment with Separation for Interference Avoidance in Wireless Networks
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(17) Ô FITU JGH^a[¤\BMίH^HK]MN[ T Re]«PNT7HZz{[¤\BFIof TUF`UH^] HKFN\BJ`UF.\l [ MKX½\B] oP.[ H^FNHQf TUFNHqDLPDLM. Ý ß. gKTBab jvP\lPNDGTU]¤\lJGJLÆDG]!P.FN\Bg^P.\B JGHl~7CE[ H^]P.[ Hng[ \B] ] H^JMNH^¤\BF.\?P.DGTB]«UH^g^P.TBF®s| u.| uc}K}c}Ku|. áXâÝ xÎDGMH^Wj¤\BJ2PNT. s wBucwUuc}c}K}^ucw xQX¤P.[ H^FNHDLMTB] JLPN[ Hg^TlzSg[¤\l] ] HKJFNH^j MNHgKTU] M P.FN\BDG]!PcX jP] T,g[ \B] ] H^JµMNH^¤\BFN\lP.DLTU]g^TU] MIPNF.\BDL]!P. wyt~µdS]MNj g[b\gc\lMNHBX!PN[ H. g[¤\B] ]HKJ'\BMIMNDG`B] abH^]!P FNTB JGH^a [¤\BMHKH^]ReDGo H^JLMIP.jo DGH^oqDL]P.[ H \BMIPKX!HB~ä` ~ MNH^H. P.[HÎ \B¯H^F !®Y*[ Jk\laP\Bg\B] o DG]!P.H^F ~dS]¤\BFIPNDGg^j Jk\BF^XvPN[ HZDG]!P.FN\Bg^P.\B DLJGDLPSqTBfTUvP.DGab\BJ©rs3wUucwUuK}c}c}QucwyxSz. gKTBJGTUFIDG] ` Xf TUF\l]WTUMNDP.DLBH,DL]WPNHK`UH^FÒ X[ \BMHKHK]FNT UH^o¡! 7g Y*TUFIabDLgV w !¿~¬ã¤TUFÎÒ%æ" X p\lPNPNDLPND¿X p*H^FIP.TBMNMND\B] o p*TU]Wj g^gKHKJLJGD# w$ef TUj ] oÊTUP.DLa,\lJ ris wUucw xSzSg^TUJGTBFNDG]`UMf TUFqFNDL] `UMKX2[ HQí\B`BTU]¤\BJX*gKH^JGJLj Jk\BF^X*\l] o. DLo DGaqHK] MIDGTU] \BJ0`UFNDLo MKX\lMR*H^JGJ\lMH^qgKDLHK]!P[ H^j FNDLMIP.DLgKMf TUF`UHKTBabHQP.FNDLg`UFN\B [ M^~&%PNDGab\BJ½rs3wUucwUuK}c}c}QucwyxSz. gKTBJGTUFIDG] `UM^X"f TUFÎ\B]!¯TUMIDLPNDLUHDL]!P.HK`BHKFÎÒ X½[ \ BH,HKH^]« FITU¯TBMNHKo!p*HKF P.TUMIMND2\B] oDL] TBPIP.D'( !f TUFFNDL] `UMKX gKTBab JLH^PNHPNFNH^HKMKX \B] o DGo DLabH^] MNDLTU]¤\BJµ`UFNDLo MK~ÔHK]«HQP\lJ¿~) w+*! FIT vDLo HKoJGT R2HKF\B] o«j ¯H^FTUj ]o MÎf TBF ris wUuKwUuc}c}c}Qucwyx{zSg^TUJGTUFIDG] `BMTU]g^HKJLJGj JG\BF`BFNDGoMK~T R*HQUH^FKXP.[ H^DGFMITUJGjvP.DGTB]ÆDGMTBP.DLa,\BJ0TU]JL®f TUFÒæötn\l] o. Òæ, ~.
(18) CE[ HK]PN[ Hng[¤\B]] HKJMIHK¤\lF.\lPNDGTU]g^TU] M P.F.\lDG]!PDGM FNH^MNH^]WPKXP.[ HnFNTU JLHKa. [¤\BMHKH^]MIPNj o DGH^oTU] Jf TBF. MNab\BJLJ0l\BJLj HKMTBfÒ ~ [ HDG]!PNF.\BgQP\B DLJGDPSnTBfPN[ Hris¿tvuKwyxSz{gKTUJLTUFNDL] `[¤\BMHKH^]MN[ T Re]!¬mZFNDL`U`UMi\B] o - HK[. w ñ!\BJLTU] `ReDP.[E¯TBj ] o MTU]EP.[ H]Wj a¯H^F®Tlfg[¤\l] ] HKJLMf TUF j MIHKMKXZFIDG] `BM\B] o. TUj ] o Mf TBFP.[ DLM FITU JGH^a. [WHKFIgKj HKM^~/.0\lPNHKFKX. TB]g[ TUFNo \BJ`UFN\B [ M\l] o¡\BFN DP.FN\BFI¬P.FIHKH^Mq[ \ BH¯H^HK]f TUj ]o"XFNHKMI¯H^g^PNDLUH^JLBX. !ÊÔ\BV?\BD w0i\B]o Y*[¤\B]`«\B]o21Zj T34*!~¡_ FITcíDLa,\?P.HKo¡MNTBJGjPNDGTU] Mf TBFqTBjP.H^FN JG\B]¤\BF^X2HKFIajP\?P.DGTB]. Ý ß. \B] o¡MNJGDLP`UF.\B[ Mq\BFNH FIHKMNH^]!P.HKoÊ!¡p*TvoJk\BH^] o HKFHQPb\BJ¿~540~%ZvP.DGab\BJ2MNTUJLjP.DLTU] Mf TUFPN[ H®ris| u.| xSz. gKTBJGTUFIDG] `q FNTB JGH^a×TU]Æ DLo DGaqHK] MIDGTU] \BJ"`UFIDGo M\B] oÆg^HKJLJGj JG\BF `UFNDLo Mi[¤\cUHHKH^]`UDLBHK]! 6 \B]ÆêH^]H^jUH^J. H^P\BJ~7 w+8¿X Re[T, FITyDLo HKo7\BJGMITq\B]7TBP.DLa,\BJ©ris¿tvucwBucwyxSz{gKTUJLTUFNDL] `f TBFiDGo DLabH^] MNDLTU]¤\BJ¯`UFNDLo MK~_]®TUPNDGab\BJ ris¿tvuKwUucwyx{zSgKTBJGTUFIDG] `Îf TUF gKTUaq JLH^P.HZDG]¤\BF ,PNFNHKH^M[ \BMe¯H^HK]®MN[ T Re]DL]9: ~. Ý ß. _M\FNHKJG\lP.H^ogc\BMIHBX¤Re[ HK]7Ò7æ; b\l] os| u.| xæ sñucwyx4XP.[ HÎrisñvucwyxSz{gKTUJLTUFNDL] `FNTU JLHKaÇaqTo HKJLM*P.[¤\?P. TBf0\cBTUDGo DL] `TB] JLP.[HMNT?zSgc\lJGJGH^o®° Ñ!Ñ¥Q¢
(19) ¢¤£S¥Q¦ §c¥Q¦.¥Q¢©¨¥ªQXWo j HP.TM P\lPNDGTU] MRe[ DLg[\BFNHiTUjPNMNDGoHP.[H[ Hc\lFNDG]`. F.\l] `UHTlfHc\Bg[TBPN[ HKF\B] oPNF.\B]MNaqDLPiP.T,PN[ HM.\labHFNHKg^HKDvDL] `,M P\lPNDGTU]©~<%P.DLa,\lJ0rsñucwyx{zSg^TUJGTUFIDG] `BMi[ \ BH. HKHK]FNT DGo H^oW \BV?\B]MND< w+ *f TUFÎ j MIHKM\B] o« DGo DLabH^] MNDLTU]¤\BJ`BFNDGoMK~Æp2HKFIPNTUMNMID \B] op*TU]Wj gKg^HKJLJGD
(20) t FITyBHKoP.[HDG]!PNF.\BgQP\B DLJGDPSTBfTUvP.DGab\BJ0risñvucwyxSz{gKTUJLTUFNDL] ` X¤`UDDG] `b\BJGMITnTUPNDGab\BJMNTBJGjPNDGTU] Mef TUFiFNDL] `UM\l] o gKTBab JLH^PNH2 DL]¤\BF ZP.FNH^HKM^~ãµDG] \BJGJUXy\BM½\B] TBPN[ HKF½FNH^Jk\lPNHKogK\BMNHlXUTU MIHKF UH*PN[¤\lPP.[ H2gKJk\lMNMNDLgc\BJWaqDG] DLaj a UHKF P.H4í. Ý. gKTBJGTUFIDG] `Z FITU JLHKa TB]bj ]o DGFIHKg^PNHKob`UF.\B[ M \BFNDLMNHKMRe[ H^],Ò7æ t\B] oq| æõwU~µ [jMKXWP.[ HiabDL] DGaj aôUHKF P.H4í gKTBJGTUFIDG] ` FITU JLHKaçg^TU] MIDGMIPNMeDG]Õ¤] o DL] `q\B]®TUP.DLa,\lJ©ris w xSzSg^TUJGTBFNDG]` ~ [ DGM¤\BHKFf jFIP.[HKFDL]WBHKM P.DG`U\lP.H^MP.[ HrstvucwUuKwyxSz{gKTUJLTUFNDL] ` FNTUJGHKaÏ\B]oÆMIP.\BFIPNMP.TnDL]!UHKM P.DL`!\lP.H\BJGMIT. Ý. P.[HZris| uKwUuc}c}c}Qucwyx{zSg^TUJGTUFIDG] `Î FITU JGH^a7~ ÔvDG]gKHPN[ TUMNHZFNTU JLHKaqM*[¤\cBHZ¯H^HK] FITyBHKoP.T¯H<Zz{gKTUaq JLH^P.H. !¡mZFNDG`B`UM\B] o- HK[; w ñ!X2TUvP.DGab\BJ2MNTUJLjP.DLTU] Mf TUFMI¯H^gKDG\BJ ] H^PSR2TUFIVM,\BFNHg^TU] MIDGo H^FNHKo©~ÊdS]¡¤\BF P.DGg^j Jk\lFKX MNTBJGjPNDGTU] MP.TÆP.[HrstvucwUuKwyxSz{gKTUJLTUFNDL] `7FNTU JLHKa. Ý. \BFNHH4ív[ DG DP.H^of TUFFNDL] `UM\l] ogKHKJLJGj JG\BF`BFNDGoMK~ãµDG]¤\lJGJLBX \lFNH\BJLMNT`UDUH^]"X Re[ HK] Ò×á= X f TUF,FNDG]`UMKX ReDLPN[. MNTBJGjPNDGTU] MqP.TPN[ H¬ris| uKwUuc}c}c}Qucwyx{zSg^TUJGTUFIDG] ` FITU JGH^a. ?BA ß C X0\l] of TUFZ DGoDGaqHK] MIDGTU]¤\lJ½`UFIDGo M^X"ReDLPN[¡w | Ý D? áRâßEÝ C ~dS]TlP.[ H^FR*TUFIo MKX\BMDPReDGJLJµH Ý@ gKJLHc\BFJk\lPNHKFTU]"X©`BDLUH^]¬\B]!Æ| Ý áöwUXP.[ Hrs| Ý ucwBuc}c}c}Qucwyx{zSgKTBJGTUFIDG] `q FNTB JGH^aÏDLMMITUJLBHKo¬TU]Æ DLo DGaqHK]MNDGTB]¤\BJ `UFIDGo Me\B]o7FIDG] `UMf TBF H^UH^FIÒá tB| Ý wj MIDG] `q\BM f HQR gKTBJGTUFIMe\BM P.[ HÎris wUuKwUuc}c}c}Qucwyx{zSg^TUJGTUFIDG] ` FNTUJGHKa®~ w> |. dS]\BJGJ gc\lMNHKM^XTUP.DLa,\lJ MITUJGjvP.DGTB] M\lFNHn FIT vDLo HKo!abHK\B] MTlfeH^qgKDLHK]!Pg[¤\B] ]HKJ \BMIMNDL`U] aqHK]!P\BJL`UTlz. FNDP.[ aqMK~µã¤TUF \BJGJ¤] HQPSR*TBFNVWM \g[¤\B] ] H^J©gK\B],H\lMNMNDL`U] H^obP.T\B]!UH^FIP.H4ínDL]bg^TU] M P\B]!P*PNDGaqHBX! FIT vDLo HKoqP.[¤\?P.
(21) P.[HFIHKJk\?P.DLBH¯TUMIDLPNDGTU]TBf½P.[ HUH^FIPNHQí7DG]P.[ HÎ] HQPSR*TUFIVDGMeJGTgc\BJLJLqVW] T Re]"~ dS]P.[ HÎgc\BMIHPN[¤\lPeP.[ HUH^FIPNDGgKH^M o TÆ]TBPDL] DLPNDk\BJLJL7VW] T R PN[ HKDLFT Re]FIHKJk\?P.DLBHbTUMIDLP.DLTU] MDG]P.[ Hb] H^PSR2TUFIVXg[¤\l] ] HKJLMgc\l]¯H,\BMNMIDG`U]HKoDL] ¤\BFN\BJGJLHKJ PNTP.[ HqUH^FIP.DLgKH^M\lf
(22) P.H^FPN[ H,H4íH^gKjPNDGTU]«TBfeMNDLab JLHo DGM P.FNDL jPNHKo\lJG`UTUFIDLPN[ abMZf TUFÎgKTBab jvP.DG]`7P.[H UH^FIPNHQí®TUMNDP.DGTB] MKXRe[DGg[®FNHKWj DLFNHTUPNDGab\BJ'P.DGaqH\B] o]Wj aHKFeTBf½aqHKMNMN\B`UH^MK~ ãµDG] \BJGJUX0DLPÎDGM\BJLMNToDGMNg^j MNMIHKoRe[ H^]g[¤\B]] HKJ2MNHK \BF.\lPNDGTU]©X \BMÎgKTU]MNDGoHKFNH^oDG]¬P.[ DLM \B¯H^FKX DLMH^PIP.H^F P.[ \B]\lo o DG]``Uj¤\BFIo®f FIHKWj HK]gKDGH^MH^PSR2HKH^]\Bo?ÉN\lgKHK]!Pig[¤\B]] HKJLMK~. F. G I HKJc L cNM OH<P. [ H®g[¤\B] ]HKJi\BMNMIDG`U]abH^]WPq FITU JLHKa¶TB] \¬] H^PSR2TUFIVQ. ReDP.[¡] Tg[¤\B] ] H^JeMNHK \BF.\lPNDGTU]g^TU] MIPNF.\BDL]!P,\l] o. gKT?zSg[¤\B]] HKJiFNH^j MNHÆoDGMIP.\B] g^H7Ò X*]¤\BaqHKJL«P.[ Hrs3wUucwUuK}c}c}QucwyxSz{gKTUJLTUFNDL] ` FITU JGH^a7X2gc\B]ʯH7FNH^o j gKH^o P.T«\. á. gKJG\BMNMIDGgK\BJgKTUJLTUFNDL] ` FITU JGH^a TU]\B] ±BÐU³B´,¥Q¢¤£S¥NÑq`BF.\B [åRTS TUP.\BDG]HKo\BMZf TUJGJLTyReM^~ [ HqBHKF P.HQíMIH^PÎTBf. á. åRTS DLMP.[ HMN\BaqH\BMP.[ HnBHKF P.HQíMNH^PqTBf7X Re[ DLJGH,\B]HKo `UHU:VyuXW$ HKJGTB] `UMPNTÆP.[ HHKo`UHMNHQPTBfå#RTS. DLÓP.[ Ho DLMIP.\B] gKHësYV?uZW?xH^PSR2HKH^]PN[ HUHKF P.DLgKHKMVn\l] oWDG][. á. á. M.\?P.DGM Õ¤HKMÎës\VyuXWyx] ÒÆà%wU~OT RXgKTUJLTUFNM. aj M PZH\BMNMIDG`U] H^oÆP.TnPN[ HUH^FIP.DLgKH^MÎTlf å#RTS MNTP.[ \lPZH^BHKF ¤\BDLFTBfUH^FIPNDGgKH^MZgKTU]] HKgQP.HKo!\B]¬H^o `UHDLM \BMIMNDG`B] HKo7\gKTUj JGHZTBf½o DLÓ¯HKFIHK]!PigKTUJLTUFNMe\l] o®PN[ HZaqDG] DLaj a ]ja¯H^F TBf½gKTUJLTUFNM DLM j MNH^o"~*iHK] g^HBX¤P.[HÎFITUJGH. á. TBf´q± U^
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(94) áXâß Ý. =öæ. \B] oY=®s¿tZ=5tUx. êDGTB [¤\B]!P.DL] HH^j \lP.DLTU]. wæÛ á ß ¯ ° ~ ÔvTUJLDL] `MIj g[\gKTU] `BFNj H^] gKHDGM P.[ HZMN\BaqH\BMMITUJLDL] `P.[HZJGDG]Hc\BF Û. =. t. U¥s = t Ewyxæ;zls&=®s¿tZ= tBxÏ. wyx4u. f TUFe\B]!DL]!P.HK`BHKF'z?~_JGJ©PN[ HMNTUJLjP.DLTU] M TBfP.[DGM HKWj¤\?P.DGTB]7\lFNHTBfP.[ HZf TUFIa(8!. ¥Û. z. æ. zls¿tX=;. æ. wyx. dS]TBP.[HKF2R2TUFIo MKXPN[ Hg^TvTBFNo DL]¤\lP.H^M*Ûµ\B] o¶¥TBfBHKFIPNHQínÙaj MIPM.\lPNDGMIf
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