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1 oveme 4 do.: IEEE /63 Pojet: IEEE P8.15 Woking Goup fo Wieless Pesonl Ae etwoks Title: [A ew Shdow Fding Model Fo 6 GHz] Dte Sumitted: [oveme 15 4] Soue: [Rmkishn Jnswmy] Compny [Univesity of Msshusetts] Addess [Deptment of ECE 15D Mus Hll Amhest MA 13] Voie: [( ] E-Mil: [jnswmy@es.umss.edu] Re: [] Astt:[A new shdow model tht pedits men pth loss stndd devition of the men pth loss nd ngul oeltion of the pth loss using iul poliztion.] Pupose: [Contiution to mmw SG3 t oveme 4 pleny in Sn Antonio] otie: This doument hs een peped to ssist the IEEE P8.15. It is offeed s sis fo disussion nd is not inding on the ontiuting individul(s o ogniztion(s. The mteil in this doument is sujet to hnge in fom nd ontent fte futhe study. The ontiuto(s eseve(s the ight to dd mend o withdw mteil ontined heein. Relese: The ontiuto knowledges nd epts tht this ontiution eomes the popety of IEEE nd my e mde pulily ville y P8.15. Slide 1 D. Rmkishn Jnswmy Univesity of Msshusetts

2 oveme 4 do.: IEEE /63 Outline 1. Summy of Pevious Wok t 6 GHz. ew Shdow Fding Model 3. Anlytil Fomuls nd umeil Results 4. Conlusions Slide D. Rmkishn Jnswmy Univesity of Msshusetts

3 oveme 4 do.: IEEE /63 og-noml fding: Existing Shdow Models P e ( = Pe ( o 1 log α + o σ X Men eeived powe vesus distne Powe inteept P = P Pth loss exponent Stndd devition of loss o α e ( o σ Powe Reeived ( (dbm dbm n P o P e ( slope = -1α log ( / o noml distiution Slide 3 D. Rmkishn Jnswmy Univesity of Msshusetts

4 oveme 4 do.: IEEE /63 Dt on Existing og-oml Models Smuldes nd Coei [1997]: Xu Kukshy Rpppot []: Hnsen Reitzne [4]: Mti Hd Psd [1998]: Moitis Constntinou []: α = 4.4 (OS < 15 m 9 seto α = 1.88 σ = 8.6 db (OS < 7 m Omni α = 1.5 (OS Coidos < 5 m Omni α = (OS Omni - Di α = 1.75 (OS Coidos < 44 m Omni o Slide 4 D. Rmkishn Jnswmy Univesity of Msshusetts

5 oveme 4 do.: IEEE /63 ew Shdow Model og-noml model 4π λ P e ( = log + ex ( + σ ( OS nd OS lge nges Rndom (unifom lotions of non-efletive ostles Ciul Poliztion Rndom (Gussin distiution of ostle loss Difftion loss ignoed popgtion in D plne Input Pmetes: men ostle loss db Stndd devition of ostle loss db Ostle sptil density Output Pmetes: Men pth loss vesus distne Stndd devition of pth loss vesus distne Angul oeltion of pth loss vesus distne X n Slide 5 D. Rmkishn Jnswmy Univesity of Msshusetts

6 oveme 4 do.: IEEE /63 ew Shdow Model y 1 k k d k k 5 5 = 7851 = d x Y (m ye -1 ye - d µ = men loss of σ p = suell size ontining n ostle = initil dius of = distne fom tnsmitte = stndd devition of = Totl nume of = Totl nume of ostle db = Ostle density = ostle - fee egion suells in egion ostles in egion / -5 ostle loss db X (m Slide 6 D. Rmkishn Jnswmy Univesity of Msshusetts

7 oveme 4 do.: IEEE /63 Men oss & Equivlent Pth oss Exponent ex ( = µ p = n = d d Men exess loss ineses liney with distne nd not logithmilly s in the pevious models. est sque line fit to model podues n equivlent pth - loss exponent model : α( = + µ p 1 n = 1 ( n n n = 1 log( n [ log( n ] = Equivlent pth loss exponent fo totl men loss in ell of dius. Slide 7 D. Rmkishn Jnswmy Univesity of Msshusetts

8 oveme 4 do.: IEEE /63 Mesued nd Model Men oss Men Pth oss (db Model Best ine Fit (α =3 OS [α =.1 Xu Kukshy Rpppot] Mesued [Smuldes nd Coei] 1 db with model STD Dev of Eo = 11.6 db with line fit pµ / d =.5 dbm -1 8 p =.5 µ =1dBd=1m /d Slide 8 D. Rmkishn Jnswmy Univesity of Msshusetts

9 oveme 4 do.: IEEE /63 Men oss & Equivlent Pth oss Exponent 1 95 Model Best ine Fit (α =.3 OS [α =.1 Xu Kukshy Rpppot] Model Best ine Fit (α =3 OS [α =.1 Xu Kukshy Rpppot] Men Pth oss (db Men Pth oss (db p =.1µ =3dBd=1m 8 p =.1µ =3dBd=1m /d /d pµ / d =.3 dbm -1 Slide 9 D. Rmkishn Jnswmy Univesity of Msshusetts

10 oveme 4 do.: IEEE /63 D. Rmkishn Jnswmy Univesity of Msshusetts Slide 1 Vine & Angul Coeltion of oss Vine & Angul Coeltion of oss [ ] n M d d M p p p φ φ φ φ ρ µ σ µ σ φ σ = = = = nd on Depends with ommon ells. lyes ume of ~ ; ( Angul Coeltion linely with distne fom tnsmitte loss ineses Vine of (1 ~ 1 ( ( Vine 1 M ( φ ( φ x y ( φ

11 oveme 4 do.: IEEE /63 Angul Coeltion of Shdow oss ρ = oeltion oeffiient of the signl eeived two points ( tnsmitte pled t the oigin. = oeltion oeffiient of the signl eeived t the oigin due to two tnsmittes t ( If the width of typil ostle isw is d φ nd ( φ. then the oeltion ngle ~ W oeltion ngle.5 din nd if the neest distne of it to the eeive / d φ nd (. Fo exmple if W = d φ due to = 1m then Slide 11 D. Rmkishn Jnswmy Univesity of Msshusetts

12 oveme 4 do.: IEEE /63 Compison of Anlytil vs Monte Monte Clo Simultion p =.1µ =6dBσ =3dB n =1d=1m = 1 1 Men oss [db] men (simultions men (nlytil σ( simultions σ ( nlytil σ ( [db] /d Slide 1 D. Rmkishn Jnswmy Univesity of Msshusetts

13 oveme 4 do.: IEEE /63 Smple ink Clultion Uplink : P T G = 1 dbm = db H p µ / d P R R = P T = 6.5 dbm + G T G R T + G = 1 db H = m MDS = 5 to 6 dbm R -1 T (Vey high loss home envionment Akeym 68 + log = m Pol. = Ci pµ d ( = 1 m MDS log to m to 4.3 m Slide 13 D. Rmkishn Jnswmy Univesity of Msshusetts

14 oveme 4 do.: IEEE /63 Conlusions ew log-noml shdow fding model vlid oth fo OS nd OS situtions on-efletive ostles Difftion effets ignoed Gussin distiution of ostle loss (men nd std. dev. of ostle loss Unifom distiution of ostle lotions Density of ostles Men exess loss in db ineses linely with distne. Vine of loss inese linely with distne. Angul oeltion of loss ineses linely with nume of ommon ells M. Model eoves pevious shdow fding models fo low loss. Slide 14 D. Rmkishn Jnswmy Univesity of Msshusetts

15 oveme 4 do.: IEEE /63 Refeenes P. F. M. Sumldes nd. M. Coei ``Chteiztion of popgtion in 6 GHz dio hnnels Eletonis & Communition Engineeing Jounl pp Apil D. M. Mti H. Hd nd R. Psd ``Indoo nd outdoo fequeny fo mm-wves in the nge of 6 GHz Po. IEEE 48 th Vehiul Teh Conf. VTC98 pp My J. Hnsen nd M. Reitzne ``Effiient indoo dio hnnel modeling sed on integl geomety IEEE Tns. Antenns Popgt. vol. 5(9 pp Septeme 4. H. Xu V. Kukshy nd T. S. Rpppot ``Sptil nd tempol hteistis of 6-GHz indoo hnnels IEEE Selet. Aes Commun. vol. (3 pp Apil.. Moitis nd P. Constntinou ``Popgtion modeling t 6 GHz fo indoo wieless A pplitions Po. PIMRC vol. 3 pp Septeme. A. Akeym T. Hiose K. Skmoto nd A. Knzw ``Study on mm-wve popgtion hteistis in indoo envionment Do. IEEE /94 IEEE A/MA Stndds Meeting Floid Mh 4. Slide 15 D. Rmkishn Jnswmy Univesity of Msshusetts

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