Performance Evaluation of the VoIP Services of the Cognitive Radio System, Based on DTMC
|
|
- Kory Joseph
- 8 years ago
- Views:
Transcription
1 J Inf Process Syst, Vol., No., pp.9~3, rch 24 pissn X eissn X Perfornce Evlution of the VoIP Services of the Cognitive Rdio Syste, Bsed on DTC Uy Hbib*, d. Iddul Isl**, nd. R. Ain* Abstrct In recent literture on trffic scheduling, the cobintion of the twodiensionl discrete-tie rkov chin (DTC) nd the rkov odulted Poisson process (PP) is used to nlyze the cpcity of VoIP trffic in the cognitive rdio syste. The perfornce of the cognitive rdio syste solely depends on the ccurcy of spectru sensing techniques, the iniiztion of flse lrs, nd the scheduling of trffic chnnels. In this pper, we only ephsize the scheduling of trffic chnnels (i.e., trffic hndling techniques for the priry user [PU] nd the secondry user [SU]). We consider the following three different trffic odels: the cross-lyer nlyticl odel, /G/() trffic, nd the IEEE 82.6e/ scheduling pproch to evlute the perfornce of the VoIP services of the cognitive rdio syste fro the contet of blocking probbility nd throughput. Keywords Cognitive Rdio, VoIP, DTC, Cross-lyer Anlyticl odel, /G/() Trffic, IEEE 82.6e/. INTRODUCTION The incresing dend for high dt rte wireless voice services over the Internet hs led to nuerous reserch inititives in the field of wireless couniction systes. The desired couniction syste should hve enhnced coputtionl intelligence long with higher ccess speeds, qulity of service ssurnce, nd the bility to successfully hndle ultiple users siultneously. The growing dend of users hs lso brought the need for the fleible nd efficient lloction of vilble spectru resources. Spectru regultory entities hve found tht spectru usge is currently concentrted over certin portion of the spectru nd tht ost of the licensed rdio frequency spectru is indequtely utilized []. Iproved utiliztion of the spectru is one of the key drivers for the developent of the cognitive rdio (CR), which ws first proposed by itol nd gure [2]. A CR cn use n unused licensed spectru s secondry user (SU), which ensures tht licensed priry users (PUs) re not interfered with by its trnsission. For the successful trnsission of secondry users, it is very iportnt to deterine the vcnt rdio frequency spectru of the PU, which is lso referred to s the spectru hole. While deterining the spectru hole, the probbility of flse lr should be inil nd the level of interference towrds the PUs should be t the cceptble level. If the CR detects tht the level of interference towrds the PUs hs eceeded the threshold level, it releses the spectru nd switches to nother spectru for trnsission. A CR syste cn support the ultiuser environent efficiently with liited nuber of spectru holes. To nuscript received Februry 27, 23; first revision April 8, 23 ; ccepted August 25, 23. Corresponding Author:. Ruhul Ain (rin@ewubd.edu) * Deprtent of Electronics nd Counictions Engineering, Est West University, Aftbngr, Dhk 22, Bngldesh (u.h.tithi@gil.co, idd@univ.edu) ** Deprtent of Coputer Science nd Engineering, Jhngirngr University, Svr, Dhk-342, Bngldesh 9 Copyright c 24 KIPS
2 Perfornce Evlution of the VoIP Services of the Cognitive Rdio Syste, Bsed on DTC overcoe the chllenge of the ultiple ccess control in the CR syste, n effective odultion strtegy nd trffic odel tht cn dpt to the tie vrying conditions of the rdio environent ssuring the relible couniction [3] need to be chosen. For future couniction systes, VoIP (Voice over IP) is one of the essentil technologies tht cn provide users with stisfctory voice services t lower cost. VoIP cn support s ny users s possible with stisfctory qulity of service. Therefore, the cobintion of VoIP technology with the CR syste hs the potentil to provide relible ultiedi wireless services with the efficient use of the liited rdio spectru. In this cse, the CR syste should be ble to support rel tie trffic with service stisfction. The voice cpcity of the CR syste nd the perfornce of the VoIP services lso needs to be investigted. Hence, in this pper we hve concentrted on the perfornce nlysis of VoIP services within CR syste by using different types of trffic odels. In the CR syste, VoIP services cn be odeled by choosing n efficient trffic odel nd odultion strtegy. In [4], the VoIP cpcity nd the perfornce of VoIP services hve been nlyzed using the queuing odel for the discrete-tie rkov chin (DTC) frework bsed on rkov odulted Poisson process (PP) trffic odel. However, the uthors hve concentrted ore on finding the iniu trget-detection nd flse lr probbilities. A cross-lyer nlyticl odel hs been proposed in [5] to ensure the qulity of service for the secondry CRs. In this pper, we consider the cross-lyer nlyticl odel for DTC bsed VoIP services in the CR syste. Furtherore, the trffic control schees for /G/() trffic discussed in [6, 7] hve been nlyzed in the contet of CR syste. Here, we lso investigte VoIP perfornce in the CR syste using the scheduling lgorith with n dptive ulti rte (AR) speech codec in IEEE 82.6e/[8]. In this pper, we hve de n effort to evlute the perfornce of the VoIP services in the CR syste for three different trffic odels nd to deterine n efficient trffic odel tht cn be ipleented for the DTC bsed secondry VoIP users of the CR syste [9, ]. The reinder of the pper is orgnized s follows: Section 2 outlines the VoIP trffic nd the syste odel long with the detils of the three trffic odels tht we consider for the CR syste, which re the cross-lyer nlyticl odel, /G/() trffic, nd the IEEE82.6e/ trffic scheduling odel. The results nd nlysis re presented in Section 3. Finlly, Section 4 concludes the pper. 2. SYSTE ODEL 2. VoIP Trffic using DTC VoIP trffic cn be odeled using the discrete-tie rkov chin (DTC) by considering the following two preters: () chnge in the nuber of queuing pckets in two dcent fres nd (b) chnge in the nuber of unoccupied chnnels between two dcent fres. Chnges in the bove two preters re epressed by trnsition tri s [4]: A, P AQ, A A, Q, L O L A A,Q Q,Q, () 2
3 Uy Hbib, d. Iddul Isl, nd. R. Ain where Q is the iu length of queue. Ech eleent A i, of the tri P is nother tri tht represents tht there re i pckets in the queue in the durtion of the current fre nd it will chnge to pckets in the net fre. The tri A i, is epressed in generlized for s: A i, B( B( i, )(, ) i,n )(, ) B B ( i, )(, ) ( i,n )(, ) L O L B B ( i, )(,N ) ( i,n )(,N ), (2) where ech eleent B ( i, )(,n ) of the tri A i, is nother tri of size 2 2 representing the chnge in the nuber of unoccupied chnnels fro to n when the nuber of pckets in the queue chnges fro i to. Here, N is the totl nuber of chnnels. Any eleent B ( i, )(,n ) of the tri A i, is evluted s: where: N ( i, )(,n ) U.D P k ( ( i k, )) Ps ( k c ), n B, (3) P,n in(, Nn ) N y P P P P (, n ) y Ny is the trnsition probbility tht indictes the nuber of unoccupied chnnels chnges fro (current fre) to n (net fre), which re derived fro the two-stte PP odel. Here, Ps ( k c ) represents the probbility tht node serves k pckets when the nuber of unoccupied chnnels is nd y n +. Fro the two-stte discrete tie PP odel, the digonl probbility tri D(k) nd the trnsition probbility tri U re epressed respectively s []: nd: ( λ T ) k λt f f e D ( k) k! (4) k λ2t f ( λ2t f ) e k! ( Λ R) Λ U, (5) where the trnsition rte tri R nd the Poisson rrivl rte tri Λ re epressed s follows: r r R (6) r2 r2 2
4 Perfornce Evlution of the VoIP Services of the Cognitive Rdio Syste, Bsed on DTC nd: λ Λ. (7) λ2 Here, λ nd λ 2 re the en rrivl rtes, r nd r 2 re the en soourn ties of the two-stte PP, nd T f is the fre durtion. Ech eleent of the D ( k ) tri provides the probbility of the rrivl of k pckets over fre durtion of T f. Now, the stedy probbility vector Π cn be obtined using the reltions Π pp Π p nd Π p e ; where e is vector where ll eleents re. The diension of the vector Π p is by 2 ( N + ) ( Q + ). The generl epression of the reltion Π P Π with e is derived s: p p Π p { P2( P) } { P3( P) } L { PN ( P) } { P ( P ) } { P ( P ) } L { P ( P ) } 2 { P ( P ) } { P ( P ) } { P ( P ) } N 2 NN 2N NN 32 3N 22 NN N2 L The probbility of k pckets witing in queue is found s: 22 π P P.. π2 22 π N PNN 2( N + ) p ( 2k( N + ) + i ) i π ( k ) π. (8) The stedy probbility vector of size by ( Q + ) is The en queue length is: The verge rrivl rte is: [ π ) π( )... π( Q )] Π. (9) ( Q Q vg i ( i ) i π. () N.A ρ v s i D( i ) e, () i where A is the iu nuber of pckets tht hve rrived fro node during the intervl [,Tf ] nd the vector s [ s, s2] is obtined fro the reltions su s nd s +s, where U is given by eqution (5). 2 22
5 Uy Hbib, d. Iddul Isl, nd. R. Ain The verge nuber of served VoIP pckets under spectru sensing sttistics T ( ) is: k v N N Q i k in(,k ) π ( k )p ( i )R( p, p ), (2) where R( pd, p f ) is the rtio of the nuber of successfully trnsitted pckets nd the nuber of scheduled pckets. The verge throughput is clculted s: s c d S k v l VoIP, (3) f where l VoIP is the length of the pcket dt unit (PDU) of the VoIP. Finlly, pcket-blocking probbility is clculted s: 2.2 VoIP Trffic under the Cross-Lyer Anlyticl odel kv β. (4) ρ A cross-lyer nlyticl odel of the Cognitive Rdio is proposed in [5]. The trffic preters of the PUs re the cll rrivl rte λ p, nd the cll terintion rte μ p. The blocking probbility of PU is evluted using the //N odel. Now, the probbility of chnnel is kept unoccupied by the PUs tht re sensed by the SU, which is epressed s: B ( η )( Pf ), (5) where P f is the probbility of flse lrs sensed by the SU nd η is the chnnel utiliztion fctor of the PUs, which is epressed s: Ap( Bp ) η, (6) n where Ap λp μ p is the offered trffic nd Bp is the blocking probbility of the PUs. The probbility of z chnnels being unoccupied nd correctly deterined s idle nd reining unoccupied during the spectru-sensing period cn be derived s: z ptp P( z ) ( B) λ e z, (7) where T p is the spectru-sensing period. Now, the probbility P( k c ) tht ppers s in Eqution (3) cn be epressed s: 23
6 Perfornce Evlution of the VoIP Services of the Cognitive Rdio Syste, Bsed on DTC P( k { P( N,A,k )} Y( ) ), (8) c s where: nd: P( N, A,k ) s k N As k, r N As r r Y ( ) P( n ). 2.3 Connection Oriented Pcket Switching of /G/() Trffic Let λ, h, V, nd y be the cll rrivl rte, en cll holding (connection) tie, dt speed, nd the dt ctivity rte for clss J, respectively. The input trffic lod nd the utiliztion ρ of the trnsission line re then given by: co λ, (9) J h nd: Lc ρco ( B ) λ hv y, (2) L c p respectively, where B is the cll blocking probbility, L c is the cell length (53 bytes for AT), L p is the pylod length (48 bytes for AT), nd c is the trnsission speed. We hve Erlng s loss forul: s B / s! J s i i, (2) i! where s is the nuber of virtul chnnels (VCs) ssigned to the trnsission line. According to [6,7] for the /G/ syste, we hve: * Π * * p Π + + p k + Πk ;,, 2,..., (22) k where p is the probbility tht clls rrive during the service tie. * The /G/() syste, Π for > + nd the eqution (22) tke the following recurrence for: 24
7 Uy Hbib, d. Iddul Isl, nd. R. Ain + + * * * * Π Π p Π p k Π k p ;,, 2,...,. (23) k Tking, * * C Π Π we get: Let, C C C C p p C p ;,, 2,...,. (24) + + k k k with C nd cobining the bove equtions, we obtin: C * Π Π P. (25) + C The cell loss rte is then: B P + P C C + C. + ρco C Here, the probbility P( k c ) cn be epressed s: with Y ( ) P( n ). P( k c ) Π ( k )Y( ), (26) 2.4 VoIP Trffic under IEEE 82.6e/ In VoIP trffic, there is lwys trdeoff between the efficient utiliztion of rdio resources nd the qulity of service. In the IEEE 82.6e/ odel, different lgoriths re prevlent for the scheduling of resources to support the tlk-spurt nd silent-period of user. One of the populr VoIP scheduling services under IEEE 82.6e/ is unsolicited grnt service (UGS), where bse sttion (BS) grnts constnt bndwidth (BW) to subscriber sttion (SS) during the entire service tie [,2]. Here, BS periodiclly ssigns grnt to SS, irrespective of the stte of the SS (i.e., its silent nd tlk-spurt sttes). During the silent-period ny lloction of BW is siply wste of the utiliztion of chnnel. Therefore, the UGS lgorith is inefficient for the cse of VoIP scheduling. The dptive ulti-rte (AR) speech codec under the IEEE 82.6e/ syste hs overcoe the bove-entioned wste of chnnel utiliztion. Here, speech fre of bits is generted periodiclly on every 2s during the tlk-spurt, while 4 bits of silence descriptor (SID) fres re generted every 6s during the silent-period. For further iproveent in the utiliztion of chnnel for VoIP service over AR speech codec, new lgorith is proposed in [8]. According to tht lgorith, SID is sent in rndo ccess ethod, insted of vi periodic trnsission during the silent-period. This is done to sve the BW of the uplink. When the stte of SS chnges fro the silent-period to tlk-spurt 25
8 Perfornce Evlution of the VoIP Services of the Cognitive Rdio Syste, Bsed on DTC 26 Fig.. VoIP scheduling lgorith stte, the ccess technique is still intined s rndo during the trnsition tie since the durtion of this trnsition tie is unpredictble. Only during the tlk-spurt tie does the BS provide n lloction (grnt) to the SS, where the grnt size cn vry ccording to the required dt rte. Any SS cn use the reserved bit nd bndwidth-request (BR) field of the bndwidth request nd uplink sleep control (BRUSC) to pprise the BS bout the stte of the SS nd the required bytes. In this cse, SS need not to use generic-ac heder. The bove VoIP scheduling lgorith is depicted in Fig.. The AR speech codec nd the corresponding queuing ethod cn be odeled by one diensionl rkov chin, s shown in Fig. 2. Here, we consider the voice trffic to be eponentilly distributed with en on-tie of λ nd en off-tie of μ. Tking the length of the queue to be k, nd by pplying cut equtions on Fig. 2, we derive the stedy probbility sttes, blocking probbility, nd the probbility of entering the queue. The probbility stte is epressed s: < + ; )! ( )! N ( P ; P P 2 (27) where: y y )! y ( )! ( P. Wsted Resource BRUSC heder Grnt Size 6 sec 2 sec Grnt Size Polling Rndo ccess Silent Period (off) Tlk spurt (on) Rndo ccess Tie Silent Period (off)
9 Uy Hbib, d. Iddul Isl, nd. R. Ain The probbility of entering queue is: Q(,,,k ) k ( )! ( k ) y! y P. (28) λ (-)λ (-+2)λ (-+)λ (-)λ λ μ 2μ (-)μ μ μ μ Fig. 2. rkov chin of VoIP users for the on-off syste The en queue length is: Q k r rq(,,,r ) (29) nd the blocking probbility is epressed s: ( )! ( k) P!. (3) B(,,,k ) Bsed on the equtions (27)-(3), the probbility P( k c ) of Eqution (3) cn be epressed s: where: nd: { P(,k )S( k )} P( k c ), (3) P(, y ) P ( y ), k ( )! S( k ). P ( k ) ( k )!. The first ter indictes the probbility of occupncy of chnnels by the PU nd the second ter indictes the probbility tht k pckets eist in the queue. Finlly, we hve: r k r r + P ( k ) ( ). (32) r r k r 27
10 Perfornce Evlution of the VoIP Services of the Cognitive Rdio Syste, Bsed on DTC 3. RESULTS For ech of the trffic odels, we hve tken two sets of the tri P : one for the Q 3 nd nother is for Q. To for the tri P for Q 3, we tke 3 trices of A i, where the size of ech of A i, tri is 8 8. Thus, the size of the finl P tri becoes For Q, the size of the tri P becoes 8 8 with trices of A i,. Considering the totl nuber of chnnels N 3, we obtin the 2 2 tri B( i,n )(, ) nd tke soe typicl vlues of overloded network like: P. 6, P. 5, P. 75 nd P. 24. To get the digonl tri D(k) nd the trnsition probbility tri U, we ssue tht T f, λ. 656, λ , r. 2, nd r 2. 2 (considering n dverse condition of the network tht stys in n underloded nd overloded stte t 36% nd 64% of the observtion tie, therefore,.36 r /(r +r 2 ) nd.64 r 2 /(r +r 2 ) hence r.2 nd r 2.2) for the VoIP trffic under the cross-lyer nlyticl odel nd IEEE 82.6e/. For the VoIP trffic under the cross-lyer nlyticl odel nd /G/() trffic, we chose P f. 2, λ p 2 nd T p. For the VoIP trffic under cross-lyer nlyticl odel, we took A p 5 nd A s. 4. In the cse of /G/() trffic, we ssued tht A p 5, 35 Erls, s 44, λ, λ 2. 5, y. 5, y 2., V. 5, V 2, h, h 2 5, L c 53, nd L p 48. For VoIP trffic under IEEE 82.6e/, we took the nuber of users, 25,. 3, P d.85, nd 6. The stedy probbility stte vector Π obtined fro the P tri of the size for three different trffic odels of Section II is plotted in Fig. 3. The profile of the probbility sttes resebles to Poisson s pdf in repetitive nner in three different regions of chnnels. Aong the three cses, the IEEE 82.6e/ trffic odel shows the iu vrition of sttes. Fig. 3. The stedy probbility sttes of three trffic odels 28
11 Uy Hbib, d. Iddul Isl, nd. R. Ain.9.8 Blocking Probbility Offered Trffic ) Q 3 IEEE 82.6e/ /G/() Cross lyer Blocking Probbility Offered Trffic b) Q IEEE 82.6e/ /G/() Cross lyer Fig. 4. Vrition of blocking probbility ginst offered trffic: ) Q 3, b) Q Considering the bove preters, the vrition of the blocking probbility ginst offered trffic is plotted in Fig. 4(). The IEEE 82.6e/ odel revels the best perfornce tht stisfies the bsic concept of pcket trffic. A siilr nlysis is lso shown in Fig. 4(b) considering Q, which cn support ore offered trffic, s visulized in Fig. 4(b). The perfornce of the cross-lyer nlyticl odel hs iproved with wider rgin. Finlly, considering Q 3 the throughput is plotted ginst the length of the PDU for three cses in Fig. 5(). Aong these three cses, throughput is found iu for the IEEE 82.6e/ cse. Fig. 5(b) shows the profile for Q, where the throughput is incresed significntly for ll of the trffic cses with n increent in the queue length..9.8 Blocking Probbility IEEE 82.6e/ /G/() Cross lyer Blocking Probbility IEEE 82.6e/ /G/() Cross lyer Offered Trffic Offered Trffic ) Q 3 b) Q Fig. 5. Vrition of the throughput ginst the length of PDU: ) Q 3, b) Q 29
12 Perfornce Evlution of the VoIP Services of the Cognitive Rdio Syste, Bsed on DTC 4. CONCLUSION To eet the dend of wireless voice services, ore dynic nd fleible technologies need to be designed to ensure the efficient utiliztion of spectru resources. One such syste odel cn be designed bsed on the DTC trffic odel to nlyze the VoIP trffic on the CR syste. In this pper, we hve nlyzed the perfornce of VoIP services using three different trffic odels in ters of throughput, stedy probbility sttes, nd blocking probbility. By copring the VoIP perfornce under the cross-lyer nlyticl odel, /G/(), nd the IEEE82.6e/ trffic odel, we showed tht the IEEE82.6e/ trffic odel outperfors other cses in ters of blocking probbility nd throughput when we tke Q 3 nd the cross-lyer odel yields the best if we consider Q. For ll three cses throughput is incresed with the increent of the queue length. Therefore, we cn conclude tht the reltive perfornce of the three trffic odels is sensitive to the length of the queue (i.e., Q ). It should be entioned here tht the proper detection of PU nd the iniiztion of flse lrs, which is nother spect of the CR syste nd tht is relted to the fding condition of the wireless chnnel nd the detection techniques, is beyond the scope of this pper. REFERENCES [] FCC Spectru Policy Tsk Force, FCC Report of the Spectru Efficiency Working Group, Nov. 22 [Online] Avilble: [2] J. itol III nd G. Q. guire, Cognitive rdio: king softwre rdios ore personl, IEEE Personl Counictions, vol. 6, no. 4, pp. 3-8, Aug [3] S. Hykin, Cognitive rdio: brin-epowered wireless counictions, IEEE J. Select. Ares Coun., vol. 23, pp. 2-22, Feb. 25. [4] Howon Lee nd Dong-Ho Cho, Cpcity iproveent nd nlysis of VoIP service in cognitive rdio syste, IEEE trnsctions on Vehiculr Technology, vol.59, no.4, pp , y 2. [5] Yki Y. ihov, Cross-lyer QoS Provisioning in Cognitive Rdio Networks, IEEE Counictions Letters, vol. 6, no. 5, pp , y 22. [6] H. Akiru nd K. Kwshhi, Teletrffic-Theory nd Applictions, London, U.K. Springer- Verlg, 993. [7] Hruo Akiru, rion R. Finley nd Kyoko Yori, A Prcticl Diensioning ethod for AT Systes, IEEE Trnsctions on Counictions, vol. 47, no. 2, pp.3-35, Feb [8] Sung-in Oh, Sunghyun Cho, Je-Hyun nd Jonghyung Kwun, VoIP Scheduling lgorith for AR speech codec in IEEE 82.6e/ syste, IEEE Counictions Letters, Vol. 2, No. 5, pp , y 28. [9] J. O. Neel, Anlysis nd Design of Cognitive Rdio Networks nd Distributed Rdio Resource ngeent Algoriths, Doctor of Philosophy, Virgini Polytechnic Institute nd Stte University, Blcksburg, VA, Sept. 26. [] J. itol, Cognitive Rdio: An Integrted Agent Architecture for Softwre Defined Rdio, Doctor of Technology, Royl Inst. of Technology (KTH), Stockhol, Sweden, y 2. [] J. So, Perfornce nlysis of VoIP services in the IEEE 82.6e OFDA syste with inbnd signling, IEEE trnsctions on Vehiculr Technology, vol.57, no.3, pp , y 28. [2] S. Oh, S. Cho, J. Ki, nd J. Kwun VoIP Scheduling Algorith for AR Speech Codec in IEEE 82.6e/ Syste, IEEE Counictions Letters, vol. 2, no. 5, pp , y 28. 3
13 Uy Hbib, d. Iddul Isl, nd. R. Ain Uy Hbib Uy Hbib received the B.Sc. degree in Electronics nd Telecouniction Engineering fro North South University, Dhk, Bngldesh, in 2 nd hs copleted the.s. degree in Telecouniction Engineering fro Est West University, Dhk, Bngldesh, in 22. She is now working s Lecturer t the Deprtent of Electronics nd Counictions Engineering t Est West University, Dhk, Bngldesh. She hs nuber of reserch ppers in ournls nd conferences. Her reserch interests include dynic spectru ccess, power, nd perfornce nlysis of Cognitive Rdio nd Wireless Counictions systes. d. Iddul Isl d. Iddul Isl hs copleted his B.Sc. nd.sc Engineering in Electricl nd Electronic Engineering fro Bngldesh University of Engineering nd Technology, Dhk, Bngldesh in 993 nd 998 respectively nd hs copleted his Ph.D degree fro the Deprtent of Coputer Science nd Engineering, Jhngirngr University, Dhk, Bngldesh in the field of network trffic engineering in 2. He is now working s Professor t the Deprtent of Coputer Science nd Engineering, Jhngirngr University, Svr, Dhk, Bngldesh. Previously, he worked s n Assistnt Engineer in Sheb Teleco (Pvt.) LTD (A oint venture copny between Bngldesh nd lysi, for obile cellulr nd WLL), fro Sept.994 to July 996. Dr. Isl hs very good field eperience in instlltion of Rdio Bse Sttions nd Switching Centers for WLL. His reserch field is network trffic, wireless counictions, wvelet trnsfor, OFDA, WCDA, dptive filter theory, ANFIS nd rry ntenn systes. He hs ore thn hundred reserch ppers in ntionl nd interntionl ournls nd conference proceedings.. R. Ain. R. Ain received his B.S. nd.s. degrees in Physics fro Jhngirngr University, Dhk, Bngldesh in 984 nd 986 respectively nd his Ph.D. degree in Pls Physics fro the University of St. Andrews, U. K. in 99. He is Professor of Electronics nd Counictions Engineering t Est West University, Dhk, Bngldesh. He served s Post-Doctorl Reserch Associte in Electricl Engineering t the University of Albert, Cnd, during He ws n Alender von Huboldt Reserch Fellow t the -Plnck Institute for Etrterrestril Physics t Grching/unich, Gerny during Dr. Ain wrded the Coonwelth Postdoctorl Fellowship in 997. Besides these, he hs lso received severl wrds for his reserch, including the Bngldesh Acdey of Science Young Scientist Awrd nd the University Grnts Coission Young Scientist Awrd for the yer 996. He is eber of the IEEE. 3
DESIGN, SIMULATION AND EVALUATION OF DOMESTIC MICRO-CHP UNITS
IGEC-7, June 17-1, Västerås, Sweden DESIGN, SIMULATION AND EVALUATION OF DOMESTIC MICRO-CHP UNITS Michel Mlynski, Frncesco Turoni, Alexnder Hlwenk, Michel Schreiber EUtech Scientific Engineering Dennewrtstrsse
More informationNetwork Configuration Independence Mechanism
3GPP TSG SA WG3 Security S3#19 S3-010323 3-6 July, 2001 Newbury, UK Source: Title: Document for: AT&T Wireless Network Configurtion Independence Mechnism Approvl 1 Introduction During the lst S3 meeting
More informationQuality Evaluation of Entrepreneur Education on Graduate Students Based on AHP-fuzzy Comprehensive Evaluation Approach ZhongXiaojun 1, WangYunfeng 2
Interntionl Journl of Engineering Reserch & Science (IJOER) ISSN [2395-6992] [Vol-2, Issue-1, Jnury- 2016] Qulity Evlution of Entrepreneur Eduction on Grdute Students Bsed on AHP-fuzzy Comprehensive Evlution
More informationTraffic Rank Based QoS Routing in Wireless Mesh Network
Trffic Rnk Bsed QoS Routing in Wireless Mesh Network Deep P Kmble #1, Sujth P Terdl *2 #1 Deprtment of Computer Science nd Engineering, Poojy Doddp App College of Engineering, Gulbrg, Krntk, Indi. *2 Deprtment
More informationSmall Business Cloud Services
Smll Business Cloud Services Summry. We re thick in the midst of historic se-chnge in computing. Like the emergence of personl computers, grphicl user interfces, nd mobile devices, the cloud is lredy profoundly
More informationSpace Vector Pulse Width Modulation Based Induction Motor with V/F Control
Interntionl Journl of Science nd Reserch (IJSR) Spce Vector Pulse Width Modultion Bsed Induction Motor with V/F Control Vikrmrjn Jmbulingm Electricl nd Electronics Engineering, VIT University, Indi Abstrct:
More informationAll pay auctions with certain and uncertain prizes a comment
CENTER FOR RESEARC IN ECONOMICS AND MANAGEMENT CREAM Publiction No. 1-2015 All py uctions with certin nd uncertin prizes comment Christin Riis All py uctions with certin nd uncertin prizes comment Christin
More information3 The Utility Maximization Problem
3 The Utility Mxiiztion Proble We hve now discussed how to describe preferences in ters of utility functions nd how to forulte siple budget sets. The rtionl choice ssuption, tht consuers pick the best
More informationPERFORMANCE ANALYSIS FOR BANDWIDTH ALLOCATION IN IEEE 802.16 BROADBAND WIRELESS NETWORKS USING BMAP QUEUEING
PERFORMANCE ANALYSIS FOR BANDWIDTH ALLOCATION IN IEEE 802.6 BROADBAND WIRELESS NETWORKS USING BMAP QUEUEING Sid EL KAFHALI Abdelli EL BOUCHTI Mohmed HANINI nd Abdelkrim HAQIQ Computer, Networks, Mobility
More informationBandwidth Allocation for Best Effort Traffic to Achieve 100% Throughput
Bndwidth Alloction for Best Effort Trffic to Achieve 100% Throughput Msoumeh Krimi, Zhuo Sun, nd Deng Pn Florid Interntionl University, Mimi, FL E-mils: {mkri001, zsun003, pnd}@fiu.edu Abstrct Generlized
More informationORBITAL MANEUVERS USING LOW-THRUST
Proceedings of the 8th WSEAS Interntionl Conference on SIGNAL PROCESSING, ROBOICS nd AUOMAION ORBIAL MANEUVERS USING LOW-HRUS VIVIAN MARINS GOMES, ANONIO F. B. A. PRADO, HÉLIO KOII KUGA Ntionl Institute
More informationHelicopter Theme and Variations
Helicopter Theme nd Vritions Or, Some Experimentl Designs Employing Pper Helicopters Some possible explntory vribles re: Who drops the helicopter The length of the rotor bldes The height from which the
More informationMATH 150 HOMEWORK 4 SOLUTIONS
MATH 150 HOMEWORK 4 SOLUTIONS Section 1.8 Show tht the product of two of the numbers 65 1000 8 2001 + 3 177, 79 1212 9 2399 + 2 2001, nd 24 4493 5 8192 + 7 1777 is nonnegtive. Is your proof constructive
More informationModule 2. Analysis of Statically Indeterminate Structures by the Matrix Force Method. Version 2 CE IIT, Kharagpur
Module Anlysis of Stticlly Indeterminte Structures by the Mtrix Force Method Version CE IIT, Khrgpur esson 9 The Force Method of Anlysis: Bems (Continued) Version CE IIT, Khrgpur Instructionl Objectives
More informationVendor Rating for Service Desk Selection
Vendor Presented By DATE Using the scores of 0, 1, 2, or 3, plese rte the vendor's presenttion on how well they demonstrted the functionl requirements in the res below. Also consider how efficient nd functionl
More informationThe Velocity Factor of an Insulated Two-Wire Transmission Line
The Velocity Fctor of n Insulted Two-Wire Trnsmission Line Problem Kirk T. McDonld Joseph Henry Lbortories, Princeton University, Princeton, NJ 08544 Mrch 7, 008 Estimte the velocity fctor F = v/c nd the
More informationQoS Mechanisms C HAPTER 3. 3.1 Introduction. 3.2 Classification
C HAPTER 3 QoS Mechnisms 3.1 Introduction In the previous chpter, we introduced the fundmentl QoS concepts. In this chpter we introduce number of key QoS mechnisms tht enble QoS services. At the end of
More informationVoIP for the Small Business
VoIP for the Smll Business Reducing your telecommunictions costs Reserch firm IDC 1 hs estimted tht VoIP system cn reduce telephony-relted expenses by 30%. Voice over Internet Protocol (VoIP) hs become
More informationEcon 4721 Money and Banking Problem Set 2 Answer Key
Econ 472 Money nd Bnking Problem Set 2 Answer Key Problem (35 points) Consider n overlpping genertions model in which consumers live for two periods. The number of people born in ech genertion grows in
More informationUnit 29: Inference for Two-Way Tables
Unit 29: Inference for Two-Wy Tbles Prerequisites Unit 13, Two-Wy Tbles is prerequisite for this unit. In ddition, students need some bckground in significnce tests, which ws introduced in Unit 25. Additionl
More informationVoIP for the Small Business
VoIP for the Smll Business Reducing your telecommunictions costs Reserch firm IDC 1 hs estimted tht VoIP system cn reduce telephony-relted expenses by 30%. Voice over Internet Protocol (VoIP) hs become
More informationOn the Efficiency of Public and Private Health Care Systems: An Application to Alternative Health Policies in the United Kingdom
On the Efficiency of ublic nd rivte Helth Cre Systes: An Appliction to Alterntive Helth olicies in the United Kingdo In W.H. rry Jnury 2001 Discussion per 01-07 Resources for the Future 1616 Street, W
More informationTreatment Spring Late Summer Fall 0.10 5.56 3.85 0.61 6.97 3.01 1.91 3.01 2.13 2.99 5.33 2.50 1.06 3.53 6.10 Mean = 1.33 Mean = 4.88 Mean = 3.
The nlysis of vrince (ANOVA) Although the t-test is one of the most commonly used sttisticl hypothesis tests, it hs limittions. The mjor limittion is tht the t-test cn be used to compre the mens of only
More informationAP STATISTICS SUMMER MATH PACKET
AP STATISTICS SUMMER MATH PACKET This pcket is review of Algebr I, Algebr II, nd bsic probbility/counting. The problems re designed to help you review topics tht re importnt to your success in the clss.
More informationFactoring Polynomials
Fctoring Polynomils Some definitions (not necessrily ll for secondry school mthemtics): A polynomil is the sum of one or more terms, in which ech term consists of product of constnt nd one or more vribles
More informationClearPeaks Customer Care Guide. Business as Usual (BaU) Services Peace of mind for your BI Investment
ClerPeks Customer Cre Guide Business s Usul (BU) Services Pece of mind for your BI Investment ClerPeks Customer Cre Business s Usul Services Tble of Contents 1. Overview...3 Benefits of Choosing ClerPeks
More informationHow To Study The Effects Of Music Composition On Children
C-crcs Cognitive - Counselling Reserch & Conference Services (eissn: 2301-2358) Volume I Effects of Music Composition Intervention on Elementry School Children b M. Hogenes, B. Vn Oers, R. F. W. Diekstr,
More informationDistributions. (corresponding to the cumulative distribution function for the discrete case).
Distributions Recll tht n integrble function f : R [,] such tht R f()d = is clled probbility density function (pdf). The distribution function for the pdf is given by F() = (corresponding to the cumultive
More informationVoIP for the Small Business
Reducing your telecommunictions costs Reserch firm IDC 1 hs estimted tht VoIP system cn reduce telephony-relted expenses by 30%. Voice over Internet Protocol (VoIP) hs become vible solution for even the
More information** Dpt. Chemical Engineering, Kasetsart University, Bangkok 10900, Thailand
Modelling nd Simultion of hemicl Processes in Multi Pulse TP Experiment P. Phnwdee* S.O. Shekhtmn +. Jrungmnorom** J.T. Gleves ++ * Dpt. hemicl Engineering, Ksetsrt University, Bngkok 10900, Thilnd + Dpt.hemicl
More informationVoIP for the Small Business
VoIP for the Smll Business Reducing your telecommunictions costs Reserch firm IDC 1 hs estimted tht VoIP system cn reduce telephony-relted expenses by 30%. Voice over Internet Protocol (VoIP) hs become
More informationTechniques for Requirements Gathering and Definition. Kristian Persson Principal Product Specialist
Techniques for Requirements Gthering nd Definition Kristin Persson Principl Product Specilist Requirements Lifecycle Mngement Elicit nd define business/user requirements Vlidte requirements Anlyze requirements
More informationVoIP for the Small Business
Reducing your telecommunictions costs Reserch firm IDC 1 hs estimted tht VoIP system cn reduce telephony-relted expenses by 30%. Voice over Internet Protocol (VoIP) hs become vible solution for even the
More informationPhysics 43 Homework Set 9 Chapter 40 Key
Physics 43 Homework Set 9 Chpter 4 Key. The wve function for n electron tht is confined to x nm is. Find the normliztion constnt. b. Wht is the probbility of finding the electron in. nm-wide region t x
More informationVoIP for the Small Business
Reducing your telecommunictions costs Reserch firm IDC 1 hs estimted tht VoIP system cn reduce telephony-relted expenses by 30%. Voice over Internet Protocol (VoIP) hs become vible solution for even the
More informationVoIP for the Small Business
VoIP for the Smll Business Reducing your telecommunictions costs Reserch firm IDC 1 hs estimted tht VoIP system cn reduce telephony-relted expenses by 30%. Voice over Internet Protocol (VoIP) hs become
More informationNovel Methods of Generating Self-Invertible Matrix for Hill Cipher Algorithm
Bibhudendr chry, Girij Snkr Rth, Srt Kumr Ptr, nd Sroj Kumr Pnigrhy Novel Methods of Generting Self-Invertible Mtrix for Hill Cipher lgorithm Bibhudendr chry Deprtment of Electronics & Communiction Engineering
More informationHow To Get A Free Phone Line From A Cell Phone To A Landline For A Business
Reducing your telecommunictions costs Reserch firm IDC 1 hs estimted tht VoIP system cn reduce telephony-relted expenses by 30%. Voice over Internet Protocol (VoIP) hs become vible solution for even the
More informationHow To Reduce Telecommunictions Costs
Reducing your telecommunictions costs Reserch firm IDC 1 hs estimted tht VoIP system cn reduce telephony-relted expenses by 30%. Voice over Internet Protocol (VoIP) hs become vible solution for even the
More informationWEB DELAY ANALYSIS AND REDUCTION BY USING LOAD BALANCING OF A DNS-BASED WEB SERVER CLUSTER
Interntionl Journl of Computers nd Applictions, Vol. 9, No., 007 WEB DELAY ANALYSIS AND REDUCTION BY USING LOAD BALANCING OF A DNS-BASED WEB SERVER CLUSTER Y.W. Bi nd Y.C. Wu Abstrct Bsed on our survey
More informationPerformance Prediction of Distributed Load Balancing on Multicomputer Systems
Performnce Prediction of Distributed Lod Blncing on Multicomputer Systems Ishfq Ahmd *, Arif Ghfoor+, nd Kishn Mehrotr * * School of Computer nd Informtion Science, Syrcuse University, Syrcuse, NY 13244
More informationVoIP for the Small Business
Reducing your telecommunictions costs Reserch firm IDC 1 hs estimted tht VoIP system cn reduce telephony-relted expenses by 30%. Voice over Internet Protocol (VoIP) hs become vible solution for even the
More informationIntroducing Kashef for Application Monitoring
WextWise 2010 Introducing Kshef for Appliction The Cse for Rel-time monitoring of dtcenter helth is criticl IT process serving vriety of needs. Avilbility requirements of 6 nd 7 nines of tody SOA oriented
More informationPolynomial Functions. Polynomial functions in one variable can be written in expanded form as ( )
Polynomil Functions Polynomil functions in one vrible cn be written in expnded form s n n 1 n 2 2 f x = x + x + x + + x + x+ n n 1 n 2 2 1 0 Exmples of polynomils in expnded form re nd 3 8 7 4 = 5 4 +
More informationVoIP for the Small Business
Reducing your telecommunictions costs Reserch firm IDC 1 hs estimted tht VoIP system cn reduce telephony-relted expenses by 30%. Voice over Internet Protocol (VoIP) hs become vible solution for even the
More informationOrdinal Variables in the Segmentation of Advertisement Receivers
Ordinl Vribles in the Segenttion of Advertiseent Receivers Mrek Wlesik, Józef Dziechcirz, Andrzej Bk Wroclw University of Econoics, Kondorsk 8/0, 53-345 Wroclw, Polnd Abstrct: The pper presents segenttion
More informationTITLE THE PRINCIPLES OF COIN-TAP METHOD OF NON-DESTRUCTIVE TESTING
TITLE THE PRINCIPLES OF COIN-TAP METHOD OF NON-DESTRUCTIVE TESTING Sung Joon Kim*, Dong-Chul Che Kore Aerospce Reserch Institute, 45 Eoeun-Dong, Youseong-Gu, Dejeon, 35-333, Kore Phone : 82-42-86-231 FAX
More informationOperations with Polynomials
38 Chpter P Prerequisites P.4 Opertions with Polynomils Wht you should lern: Write polynomils in stndrd form nd identify the leding coefficients nd degrees of polynomils Add nd subtrct polynomils Multiply
More informationEnterprise Risk Management Software Buyer s Guide
Enterprise Risk Mngement Softwre Buyer s Guide 1. Wht is Enterprise Risk Mngement? 2. Gols of n ERM Progrm 3. Why Implement ERM 4. Steps to Implementing Successful ERM Progrm 5. Key Performnce Indictors
More informationEconomics Letters 65 (1999) 9 15. macroeconomists. a b, Ruth A. Judson, Ann L. Owen. Received 11 December 1998; accepted 12 May 1999
Economics Letters 65 (1999) 9 15 Estimting dynmic pnel dt models: guide for q mcroeconomists b, * Ruth A. Judson, Ann L. Owen Federl Reserve Bord of Governors, 0th & C Sts., N.W. Wshington, D.C. 0551,
More informationVoIP for the Small Business
Reducing your telecommunictions costs Reserch firm IDC 1 hs estimted tht VoIP system cn reduce telephony-relted expenses by 30%. Voice over Internet Protocol (VoIP) hs become vible solution for even the
More informationRecognition Scheme Forensic Science Content Within Educational Programmes
Recognition Scheme Forensic Science Content Within Eductionl Progrmmes one Introduction The Chrtered Society of Forensic Sciences (CSoFS) hs been ccrediting the forensic content of full degree courses
More informationAn Undergraduate Curriculum Evaluation with the Analytic Hierarchy Process
An Undergrdute Curriculum Evlution with the Anlytic Hierrchy Process Les Frir Jessic O. Mtson Jck E. Mtson Deprtment of Industril Engineering P.O. Box 870288 University of Albm Tuscloos, AL. 35487 Abstrct
More informationUnderstanding Life Cycle Costs How a Northern Pump Saves You Money
Understnding Life Cycle Costs How Nrn Pump Sves You Money Reference: Hydrulic Institute (www.s.g) Introduction Wht Life Cycle Cost (LCC) Clculting Totl LCC LCC Components Wht Life Cycle Cost Life Cycle
More informationVoIP for the Small Business
VoIP for the Smll Business Reducing your telecommunictions costs Reserch firm IDC 1 hs estimted tht VoIP system cn reduce telephony-relted expenses by 30%. Voice over Internet Protocol (VoIP) hs become
More information2006 IPCC Software for National Greenhouse Gas Inventories: Application and use for India
2006 IPCC Softwre for Ntionl Greenhouse Gs Inventories: Appliction nd use for Indi Presenttion for NGGIP Side Event Bonn, June 8, 2013 Prof. Amit Grg (mitgrg@iimhd.ernet.in), INDIA GHG Inventory Softwre
More informationIntegration. 148 Chapter 7 Integration
48 Chpter 7 Integrtion 7 Integrtion t ech, by supposing tht during ech tenth of second the object is going t constnt speed Since the object initilly hs speed, we gin suppose it mintins this speed, but
More information9 CONTINUOUS DISTRIBUTIONS
9 CONTINUOUS DISTIBUTIONS A rndom vrible whose vlue my fll nywhere in rnge of vlues is continuous rndom vrible nd will be ssocited with some continuous distribution. Continuous distributions re to discrete
More informationCOMPARISON OF SOME METHODS TO FIT A MULTIPLICATIVE TARIFF STRUCTURE TO OBSERVED RISK DATA BY B. AJNE. Skandza, Stockholm ABSTRACT
COMPARISON OF SOME METHODS TO FIT A MULTIPLICATIVE TARIFF STRUCTURE TO OBSERVED RISK DATA BY B. AJNE Skndz, Stockholm ABSTRACT Three methods for fitting multiplictive models to observed, cross-clssified
More information2.016 Hydrodynamics Prof. A.H. Techet
.01 Hydrodynics Reding #.01 Hydrodynics Prof. A.H. Techet Added Mss For the cse of unstedy otion of bodies underwter or unstedy flow round objects, we ust consider the dditionl effect (force) resulting
More informationSection 5.2, Commands for Configuring ISDN Protocols. Section 5.3, Configuring ISDN Signaling. Section 5.4, Configuring ISDN LAPD and Call Control
Chpter 5 Configurtion of ISDN Protocols This chpter provides instructions for configuring the ISDN protocols in the SP201 for signling conversion. Use the sections tht reflect the softwre you re configuring.
More informationEfficient load-balancing routing for wireless mesh networks
Computer Networks 51 (007) 50 66 www.elsevier.com/locte/comnet Efficient lod-blncing routing for wireless mesh networks Yigl Bejerno, Seung-Je Hn b, *,1, Amit Kumr c Bell Lbortories, Lucent Technologies,
More informationReasoning to Solve Equations and Inequalities
Lesson4 Resoning to Solve Equtions nd Inequlities In erlier work in this unit, you modeled situtions with severl vriles nd equtions. For exmple, suppose you were given usiness plns for concert showing
More informationProtocol Analysis. 17-654/17-764 Analysis of Software Artifacts Kevin Bierhoff
Protocol Anlysis 17-654/17-764 Anlysis of Softwre Artifcts Kevin Bierhoff Tke-Awys Protocols define temporl ordering of events Cn often be cptured with stte mchines Protocol nlysis needs to py ttention
More informationData replication in mobile computing
Technicl Report, My 2010 Dt repliction in mobile computing Bchelor s Thesis in Electricl Engineering Rodrigo Christovm Pmplon HALMSTAD UNIVERSITY, IDE SCHOOL OF INFORMATION SCIENCE, COMPUTER AND ELECTRICAL
More informationApplying Multiple Neural Networks on Large Scale Data
0 International Conference on Inforation and Electronics Engineering IPCSIT vol6 (0) (0) IACSIT Press, Singapore Applying Multiple Neural Networks on Large Scale Data Kritsanatt Boonkiatpong and Sukree
More informationWireless Wakeups Revisited: Energy Management for VoIP over Wi-Fi Smartphones
Wireless Wkeups Revisited: Energy Mngement for VoIP over Wi-Fi Smrtphones Yuvrj Agrwl, Rnveer Chndr,AlecWolmn, Prmvir Bhl, Kevin Chin, Rjesh Gupt Microsoft Reserch, Microsoft Corportion, University of
More informationModeling POMDPs for Generating and Simulating Stock Investment Policies
Modeling POMDPs for Generting nd Simulting Stock Investment Policies Augusto Cesr Espíndol Bff UNIRIO - Dep. Informátic Aplicd Av. Psteur, 458 - Térreo Rio de Jneiro - Brzil ugusto.bff@uniriotec.br Angelo
More informationWhy is the NSW prison population falling?
NSW Bureu of Crime Sttistics nd Reserch Bureu Brief Issue pper no. 80 September 2012 Why is the NSW prison popultion flling? Jcqueline Fitzgerld & Simon Corben 1 Aim: After stedily incresing for more thn
More information5.6 POSITIVE INTEGRAL EXPONENTS
54 (5 ) Chpter 5 Polynoils nd Eponents 5.6 POSITIVE INTEGRAL EXPONENTS In this section The product rule for positive integrl eponents ws presented in Section 5., nd the quotient rule ws presented in Section
More informationTHE INTELLIGENT VEHICLE RECOVERY AND FLEET MANAGEMENT SOLUTION
KENYA THE INTELLIGENT VEHICLE RECOVERY AND FLEET MANAGEMENT SOLUTION INTRODUCTION Hving estblished itself in no less thn eleven Sub-Shrn countries nd with more thn 230 000 vehicles lredy on its system
More informationVoIP for the Small Business
Reducing your telecommunictions costs Reserch firm IDC 1 hs estimted tht VoIP system cn reduce telephony-relted expenses by 30%. Voice over Internet Protocol (VoIP) hs become vible solution for even the
More informationIntegration by Substitution
Integrtion by Substitution Dr. Philippe B. Lvl Kennesw Stte University August, 8 Abstrct This hndout contins mteril on very importnt integrtion method clled integrtion by substitution. Substitution is
More informationVoIP for the Small Business
VoIP for the Smll Business Reducing your telecommunictions costs Reserch firm IDC 1 hs estimted tht VoIP system cn reduce telephony-relted expenses by 30%. Voice over Internet Protocol (VoIP) hs become
More informationImplementation Evaluation Modeling of Selecting ERP Software Based on Fuzzy Theory
Implementtion Evlution Modeling of Selecting ERP Softwre Bsed on Fuzzy Theory Xukn Xu 1, Ydong Jing 1 nd Zheng Shi 2 1 Informtion Mngement Deprtment, Chngzhou Cmpus, Hohi University, Chngzhou 213022, Jingsu,
More informationVoIP for the Small Business
Reducing your telecommunictions costs TechAdvisory.org SME Reports sponsored by Cybernut Solutions provides outsourced IT support from welth of knowledgeble technicins nd system dministrtors certified
More informationHealth insurance marketplace What to expect in 2014
Helth insurnce mrketplce Wht to expect in 2014 33096VAEENBVA 06/13 The bsics of the mrketplce As prt of the Affordble Cre Act (ACA or helth cre reform lw), strting in 2014 ALL Americns must hve minimum
More informationUNIVERSITY OF NOTTINGHAM. Discussion Papers in Economics STRATEGIC SECOND SOURCING IN A VERTICAL STRUCTURE
UNVERSTY OF NOTTNGHAM Discussion Ppers in Economics Discussion Pper No. 04/15 STRATEGC SECOND SOURCNG N A VERTCAL STRUCTURE By Arijit Mukherjee September 004 DP 04/15 SSN 10-438 UNVERSTY OF NOTTNGHAM Discussion
More informationEQUATIONS OF LINES AND PLANES
EQUATIONS OF LINES AND PLANES MATH 195, SECTION 59 (VIPUL NAIK) Corresponding mteril in the ook: Section 12.5. Wht students should definitely get: Prmetric eqution of line given in point-direction nd twopoint
More informationA Location-Based Method for Specifying RF Spectrum Rights
A Loction-Bsed Method for Specifing RF Spectru Rights John A. Stine, Senior Meber, IEEE Abstrct We provide ethod to specif loction bsed spectru rights tht enbles spectru ngeent with finer resolution in
More information4.11 Inner Product Spaces
314 CHAPTER 4 Vector Spces 9. A mtrix of the form 0 0 b c 0 d 0 0 e 0 f g 0 h 0 cnnot be invertible. 10. A mtrix of the form bc d e f ghi such tht e bd = 0 cnnot be invertible. 4.11 Inner Product Spces
More informationUtilization of Smoking Cessation Benefits in Medicaid Managed Care, 2009-2013
Utiliztion of Smoking Cesstion Benefits in Medicid Mnged Cre, 2009-2013 Office of Qulity nd Ptient Sfety New York Stte Deprtment of Helth Jnury 2015 Introduction According to the New York Stte Tocco Control
More informationSPECIAL PRODUCTS AND FACTORIZATION
MODULE - Specil Products nd Fctoriztion 4 SPECIAL PRODUCTS AND FACTORIZATION In n erlier lesson you hve lernt multipliction of lgebric epressions, prticulrly polynomils. In the study of lgebr, we come
More informationENHANCING CUSTOMER EXPERIENCE THROUGH BUSINESS PROCESS IMPROVEMENT: AN APPLICATION OF THE ENHANCED CUSTOMER EXPERIENCE FRAMEWORK (ECEF)
ENHNCING CUSTOMER EXPERIENCE THROUGH BUSINESS PROCESS IMPROVEMENT: N PPLICTION OF THE ENHNCED CUSTOMER EXPERIENCE FRMEWORK (ECEF) G.J. Both 1, P.S. Kruger 2 & M. de Vries 3 Deprtment of Industril nd Systems
More informationVoIP for the Small Business
Reducing your telecommunictions costs VoIP (Voice over Internet Protocol) offers low cost lterntive to expensive trditionl phone services nd is rpidly becoming the communictions system of choice for smll
More informationLecture 3 Gaussian Probability Distribution
Lecture 3 Gussin Probbility Distribution Introduction l Gussin probbility distribution is perhps the most used distribution in ll of science. u lso clled bell shped curve or norml distribution l Unlike
More informationDynamic TDMA Slot Assignment in Ad Hoc Networks
Dynmic TDMA Slot Assignment in Ad Hoc Networks Akimitsu KANZAKI, Toshiki UEMUKAI, Tkhiro HARA, Shojiro NISHIO Dept. of Multimedi Eng., Grd. Sch. of Informtion Science nd Technology, Osk Univ. Dept. of
More informationHow To Understand The Theory Of Inequlities
Ostrowski Type Inequlities nd Applictions in Numericl Integrtion Edited By: Sever S Drgomir nd Themistocles M Rssis SS Drgomir) School nd Communictions nd Informtics, Victori University of Technology,
More informationT H E S E C U R E T R A N S M I S S I O N P R O T O C O L O F S E N S O R A D H O C N E T W O R K
Z E S Z Y T Y N A U K O W E A K A D E M I I M A R Y N A R K I W O J E N N E J S C I E N T I F I C J O U R N A L O F P O L I S H N A V A L A C A D E M Y 2015 (LVI) 4 (203) A n d r z e j M r c z k DOI: 10.5604/0860889X.1187607
More informationHealth insurance exchanges What to expect in 2014
Helth insurnce exchnges Wht to expect in 2014 33096CAEENABC 02/13 The bsics of exchnges As prt of the Affordble Cre Act (ACA or helth cre reform lw), strting in 2014 ALL Americns must hve minimum mount
More informationRotating DC Motors Part II
Rotting Motors rt II II.1 Motor Equivlent Circuit The next step in our consiertion of motors is to evelop n equivlent circuit which cn be use to better unerstn motor opertion. The rmtures in rel motors
More informationEngineer-to-Engineer Note
Engineer-to-Engineer Note EE-280 Technicl notes on using Anlog Devices DSPs, processors nd development tools Visit our Web resources http://www.nlog.com/ee-notes nd http://www.nlog.com/processors or e-mil
More informationPROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY
MAT 0630 INTERNET RESOURCES, REVIEW OF CONCEPTS AND COMMON MISTAKES PROF. BOYAN KOSTADINOV NEW YORK CITY COLLEGE OF TECHNOLOGY, CUNY Contents 1. ACT Compss Prctice Tests 1 2. Common Mistkes 2 3. Distributive
More informationAN ANALYTICAL HIERARCHY PROCESS METHODOLOGY TO EVALUATE IT SOLUTIONS FOR ORGANIZATIONS
AN ANALYTICAL HIERARCHY PROCESS METHODOLOGY TO EVALUATE IT SOLUTIONS FOR ORGANIZATIONS Spiros Vsilkos (), Chrysostomos D. Stylios (),(b), John Groflkis (c) () Dept. of Telemtics Center, Computer Technology
More informationExponential and Logarithmic Functions
Nme Chpter Eponentil nd Logrithmic Functions Section. Eponentil Functions nd Their Grphs Objective: In this lesson ou lerned how to recognize, evlute, nd grph eponentil functions. Importnt Vocbulr Define
More informationHow To Improve Network Performance
Per 1 INSIDE: 1 Emphsis on ppliction performnce mens greter need for network mngement 2 The role of performnce mngement in ppliction delivery 3 Advnced performnce mngement cpbilities The New Er of Network
More informationUplift Capacity of K-Series Open Web Steel Joist Seats. Florida, Gainesville, FL 32611; email: psgreen@ce.ufl.edu
Uplift Cpcity of K-Series Open Web Steel Joist Sets Perry S. Green, Ph.D, M.ASCE 1 nd Thoms Sputo, Ph.D., P.E., M.ASCE 2 1 Assistnt Professor, Deprtment of Civil nd Costl Engineering, University of Florid,
More information2 DIODE CLIPPING and CLAMPING CIRCUITS
2 DIODE CLIPPING nd CLAMPING CIRCUITS 2.1 Ojectives Understnding the operting principle of diode clipping circuit Understnding the operting principle of clmping circuit Understnding the wveform chnge of
More informationBayesian Updating with Continuous Priors Class 13, 18.05, Spring 2014 Jeremy Orloff and Jonathan Bloom
Byesin Updting with Continuous Priors Clss 3, 8.05, Spring 04 Jeremy Orloff nd Jonthn Bloom Lerning Gols. Understnd prmeterized fmily of distriutions s representing continuous rnge of hypotheses for the
More information5.2. LINE INTEGRALS 265. Let us quickly review the kind of integrals we have studied so far before we introduce a new one.
5.2. LINE INTEGRALS 265 5.2 Line Integrls 5.2.1 Introduction Let us quickly review the kind of integrls we hve studied so fr before we introduce new one. 1. Definite integrl. Given continuous rel-vlued
More information