Outage Probability of Cognitive Relay Network Considering the Interference Link from Primary Users on the Secondary Relay and Receiver

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1396 () (1) - - (1) - () 1395/1/1 : 1395/1/1 :. :....... : Outage Probability of Cogitive elay etwork Cosiderig e terferece Lik from Primary Users o e Secodary elay ad eceiver afise Sadegi (1) - ooola Agajai () (1) MSc. epartmet of Electrical Egieerig, ajafabad Brac, slamic Azad Uiversity, ajafabad, ra sadegi.0369@gmail.com () Assistat Professor - epartmet of Electrical Egieerig, ajafabad Brac, slamic Azad Uiversity, ajafabad, ra agajai@iau.ac.ir Cogitive elay etwork is a pla to remove some problems suc as limited coverage ad limited spectrum. Tis strategy permits secodary user to use a sared frequecy bad, wic is dedicated to e primary users. Te secodary etwork employs a relay ode to eted e commuicatio rage ad improves e etwork outage probability. By e way, primary ad secodary users ca cause destructive effects o eac oer, if ey do t cotrol e trasmitted power. is paper, we cosider bo primary ad secodary iterfereces to model a more accurate cogitive relay etwork. Te aim is to sow e effects of iterferece caused by primary users o e correct data trasmisio ad e outage probability i e cogitive relay etwork. de Terms: Cogitive relay, Outage probability, iterferece from primary agajai@iau.ac.ir - : 15

-15.. [6].. [7]. [8]. [9] [10]. [11]. [1]... [13]..... -. (1).. -1. 1971 1988.[1].[] 005.[3] [4].. 007.[3]. -..... [5] -. 16

1396 su... σ... : () (1) y P + P + ( 1) su su su P su direct. su su y P y P + P + ( ) su (1) y direct (1).. (3) P su P su ( 3) su. y P + () (). ( 4) (3) su sup P 1 : S ( 5) σ + S. :(1) Fig. (1): Cogitive relay etwork model cosiderig relay ad destiatio iterfereces liks........... -3 (1).. 17

-15. A f Y ( y) ( 9) (A + y) ) ( W 1 PU ϒ : 1 (Y ) w ep ( Y w ) f w (w ) ( 10) ( 1)! S F (). Pr (X ) Pr FX () 0 f A 1 P Y W + w (w ) ( w + ) f Y 0 1 1 ( 1)! η B Γ() Γ(1, ) η (y) dy dw B 1 (11) B ep η A σ α B + A B A P PU PPU ε ZS. : Pr (Z z) Pr C 1 z P Y W + ( w + ) F (z) Z f (w ) w f Y (y) dy dw ( 1) 0 0 z 1 1 ( 1)! γ 1 B ep Γ ( ) Γ (1, ) γ γ S F Y (y). C σ β + C zp PU PPU ε. S MC P. : Pr( r) ( 13) out < 18 σ.. (5) S : S SU SUP PU 1 ( 6) σ + P PU (6) σ. (7) S MC MC.. S MC su + sup PU ( 7) σ + PPU 1 PU... SUP SU ζ α. (7) (5) SU. ϒ η PU ε PU β su su su.[14] sup su sup. Y. F ( y) Pr (Y y) Pr ( X : Y y) X 1 su sup 1 Y ( 8) y y λ 1 f ( ) f ( 1 ) d 1 d, A 0 0 1 A + y λ

1396 bps γ r( ) Hz.. (5)... :() Fig. (): Outage probability diagram versus maimum resold iterferece d :(3) Fig. (3): Outage probability diagram for differet d. r. Pout Pr (log (1 + S ) < r ( 14) r pr (S < 1) Pout [ Pr (S < Y ). Pr (S < γ )] [ Pr (S γ ). Pr (S < γ )]. γ MC r 1 : + ( 15).. YS XS (13) US MC. Pout F ( γ ) FY ( γ ) + (1 FX ( γ )) FU ( γ ) ( 16) (11) Y X. (1) -4.. 10 7. (). [-5, 15] db. db.. (3) d... ( ) (4). 19

-15..... :(4) Fig. (4): Outage probability diagram for differet r. :(5) Fig. (5): Outage probability diagram for differet -5.... efereces [1] Z. Zag, Partial coverse for a relay cael, EEE Tras. o formatio Teory, Vol. 34, o. 5, pp.1106-1110, May 1988. [] A. Høst-Madse, J. Zag, Capacity bouds ad power allocatio for wireless relay caels, EEE Tras. o formatio Teory, Vol. 51, o. 6, pp. 00-040, Ju. 005. [3] O. Simeoe, J. Gambii, Y. Bar-ess, U. Spagolii, Cooperatio ad cogitive radio, Proceedig of e EEE/CC, Glasgow, UK, pp. 6511-6515, Ju. 007. [4]. Hu, S. Mao, Cooperative relay i cogitive radio etworks: ecode-ad-forward or amplify-ad-forward?, Proceedig of e EEE/ GLOBECOM, Miami, FL, USA, ec. 010. [5] Y. Guo, G. Kag,. Zag, W. Zou, P. Zag, Outage performace of relay-assisted cogitive-radio system uder, spectrum-sarig costraits, Electroic Letter, Vol. 46, o., pp. 18-184, Ja. 010. [6] T.T. uy, G.C. Aleadropoulos, V.T. Tug, V.. So, T.Q. uog. Outage performace of cogitive cooperative etworks wi relay selectio over double-ayleig fadig caels, ET Commuicatios, Vol. 10, o. 1, pp. 57-64, Ja. 016. [7] K. Soaib, Y. Coi, Y. Ha, Outage improvemet i cogitive relay etworks by usig a geeralized regioal model, Proceedig of e EEE/VTC, pp. 1-5, Ottawa, O, Caada, Sep. 010. [8] L. Fa, X. Lei, T.Q. uog,.q. Hu, M. Elkasla, Multiuser cogitive relay etworks: Joit impact of direct ad relay commuicatios, EEE Tras. o Wireless Commuicatios, Vol. 13, o. 9, pp. 5043 5055, Sep. 014. [9] S. Sagog, J. Lee,. Hog, Capacity of reactive F sceme i cogitive relay etworks, EEE Tras. o Wireless Commuicatios, Vol. 10, o. 10, pp. 1536 176, Oct. 011. 0

1396 [10] J. Lee, H. Wag, J.G. Adrews,. Hog, Outage probability of cogitive relay etworks wi iterferece costraits, EEE Tras. o Wireless Commuicatios, Vol. 10, o., pp. 390-395, Feb. 011. [11] F..V. Guimaraes,.B Costa, T.A. Tsiftsis, C.C Cavalcate, G.K. karagiaidis, Multiuser ad multirelay cogitive radio etworks uder spectrum-sarig costraits, EEE Tras.Veicular o Tecology, Vol. 63, o. 1, pp. 433-439, Ja. 014. [1] A. Alizade, S.M.S. Sadoug, Power miimizatio i ui-directioal relay etworks wi cogitive radio capabilities, Proceedig of e EEE/ST, Tera, ra, 010. [13]. Sadegi,. Agajai, Effect of primary iterferece o cogitive relay etwork, Ciecia & atura, Vol. 37, pp. 14-19, ec. 015. [14] A. Leo-Garcia, Probability, statistics, ad radom processes for electrical egieerig, Upper Saddle iver, J: Pearso/Pretice Hall, 008. 1