05 WO_NP2003_E01_0 UMTS Capacity Estimation-33

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    UMTS Capacity Estimation

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    Contents

    1 UMTS Service Model...................................................................................................................................1

    1.1 Service Classification..........................................................................................................................1

    1.2 Service Model......................................................................................................................................2

    1.2.1 Classification of Area Types.....................................................................................................2

    1.2.2 CS Domain Service Model.......................................................................................................3

    1.2.3 PS Domain Service Model.......................................................................................................4

    2 UMTS Capacity Estimation.........................................................................................................................9

    2.1 Capacity Estimation Flo...................................................................................................................!

    2.2 Estimation Met"od of #y$rid Service Capacity.................................................................................!

    2.2.1 E%&ivalent Erlan' Met"od......................................................................................................1(

    2.2.2 Post Erlan')* Met"od............................................................................................................11

    2.2.3 Camp$ell Met"od...................................................................................................................12

    2.3 +plin, Capacity Estimation...............................................................................................................1-

    2.3.1 oad Analysis for +plin,.......................................................................................................1-

    2.3.2 +plin, Capacity and Scale Estimation...................................................................................1/

    2.4 Donlin, Capacity Estimation..........................................................................................................1!

    2.4.1 Analysis of Donlin, oad....................................................................................................1!

    2.4.2 Donlin, Capacity and Scale Estimation..............................................................................22

    3 Scale Estimation Example..........................................................................................................................25

    3.1 Ass&med Conditions..........................................................................................................................2-

    3.2 Estimation Process.............................................................................................................................20

    3.2.1 Estimation Flo C"art............................................................................................................20

    3.2.2 +plin, Covera'e Estimation..................................................................................................20

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    3.2.3 +plin, Capacity Estimation...................................................................................................2

    3.2.4 Donlin, Capacity Estimation..............................................................................................3(

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    1 UMTS Service Model

    1.1 Service Classification

    n t"e 3PP protocol services r&nnin' in t"e +MTS system are 'ro&ped into fo&r

    classes $ased on 5&ality of Service 65oS7 Conversational Streamin' nteractive and

    *ac,'ro&nd. T"e 3PP protocol 22.1(- 'ives e8amples to ill&strate typical

    applications of t"ese services and t"eir 5oS re%&irements. Ta$le 1.1)1 offers t"e $asic

    feat&res and typical cases of t"ese fo&r classes of services.

    Ta$le 1.1)1 Service Classification

    Service Cate'ory *asic Feat&res Typical Cases

    Conversational

    9eep time relations"ip $eteen information

    entities in stream conversational mode 6small

    delay and strict delay :itter re%&irement7

    ;oice service video

    conference interactive

    'ame Telnet

    Streamin'9eep time relations"ip $eteen information

    entities in stream

    ;oice stream media

    donload movie $rose

    ;ideo

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    Entertainment 04 12

    >>> 04 12

    FTP 04 12?34

    ;ideo streamin' 04 34

    1.2 Service Model

    Service model is t"e reference for capacity estimation. t reflects t"e proportion of eac"

    service in "y$rid service &nder vario&s service environments. *ased on t"is proportion

    yo& can estimate t"e avera'e traffic or data t"ro&'"p&t of a sin'le &ser. M&ltiply t"e

    val&e $y t"e e8pected n&m$er of &sers in vario&s environments to 'et t"e

    correspondin' total traffic or t"ro&'"p&t.

    1.2.1 Classification of Area Types

    Service model is very important to t"e +MTS netor, desi'n $eca&se it is t"e

    reference for capacity estimation and determines "et"er to ta,e f&t&re netor,

    service demands into acco&nt d&rin' plannin'.

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    C"apter 3 Scale Estimation E8ample

    development Dense $&ildin'

    comple8 area

    1(((1((((

    +r$an area#i'" traffic medi&m service rate

    common data service demands1(((

    3(((

    S&$&r$ areao traffic lo)speed or no data

    service1(((

    1((

    =&ral area

    Sparse traffic it" t"e p&rpose of

    solvin' covera'e

    o '&arantee for data service 5oS

    1((( 1((

    Main line of

    comm&nication?

    Scenic spot

    o traffic scenic spot it" seasonal

    feat&res

    oteG BS&c" re'ions as Middle =in' of #on'9on' and &:ia&i Financial H Trade Ione in S"an'"ai

    Considerin' voice service remains important at t"e early sta'e of 3 constr&ction t"e

    folloin' sections 'ives detailed recommendation of $&sy "o&r traffic for t"e a$ove si8

    areas respectively on voice service and video p"one service it" respect to PS domain

    data service $&sy "o&r traffic for only t"e former fo&r areas are provided.

    1.2.2 CS Domain Service Model

    Fi'&re 1.2)1 s"os t"e voice service call model.

    Call duration

    Call setup Call release

    ErrorG =eference so&rce not fo&ndFi'&re 1.2)1 Call Model of ;oice Service

    Primary parameters of t"e voice service model are *&sy #o&r Call Attempt 6*#CA7

    and call d&ration. >it" t"ese to parameters yo& can calc&late t"e $&sy "o&r traffic.

    *&sy #o&r Traffic J *#CA 8 Call D&ration ?30((

    Ta$les 1.2)2 and 1.2)3 respectively offer t"e recommended val&es of voice service and

    video p"one service in different areas.

    Ta$le 1.2)2 ;oice Service Model

    3

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    +MTS Scale Estimation

    Area *#CA Call D&ration 6S7 Traffic 6Erl?*#7

    Donton

    area

    Central $&siness

    district2./ 0( (.(4-

    rre'&lar

    $&ildin')

    intensive area

    1. 0( (.(3

    Dense $&ildin'

    comple8 area1.2 0( (.(2

    +r$an area 1.2 0( (.(2

    S&$&r$ area 1.(1 0( (.(1

    =&ral area (.!0 0( (.(10

    Main line of

    comm&nication?scenic spot (.! 0( (.(1-

    Ta$le 1.2)3 ;ideo P"one Service Model

    Area *#CA Call D&ration 6S7 Traffic 6mErl?*#7

    Donton

    area

    Central $&siness

    district(.13- 12( 4.-

    rre'&lar

    $&ildin')

    intensive area

    (.(! 12( 3

    Dense $&ildin'

    comple8 area(.(0 12( 2

    +r$an area (.(0 12( 2

    S&$&r$ area (.(-(! 12( 1.

    =&ral area (.(4 12( 1.0

    Main line of

    comm&nication?scenic spot(.(4- 12( 1.-

    1.2.3 PS Domain Service Model

    T"e data service call model idely differs from t"e voice service call model. Data call

    "as t"e folloin' feat&resG

    Conversion $eteen Dormant state and Active state

    Eac" session of a &ser can consist of several pac,et calls and different data service

    types and &ser types "ave differentiated feat&res

    Data is transmitted in data $&rst mode

    =eso&rces occ&pied $y pac,et call vary it" data $&rst transmission.

    4

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    C"apter 3 Scale Estimation E8ample

    Fi'&re 1.2)2 s"os t"e data call processG

    Pacet Call Pacet Call Pacet Call Pacet Call

    !ctive "ormant !ctive !ctive"ormant !ctive

    A data service process of a &ser A data service process of a &ser

    "ata call#session$%&&& "ata call#session$%&&&

    Clic 'e(

    pa)e Clic next pa)eClic next

    pa)eSend*+eceive E%

    mail

    &e( pa)e do'nload&e( pa)e

    do'nload&e( pa)e do'nload &e( pa)e do'nload

    "ata ,urst "ata ,urst "ata ,urst "ata ,urst

    Active Dormant

    Pacet CallPacet Call

    >e$ pa'e donload Fe8t e$ pa'e donload

    Call setup Call release

    Fi'&re 1.2)2 Data Service Call Process

    T"e data service "ere is descri$ed in ETS model. ts primary parameters are *&sy

    #o&r Session Attempt 6*#SA7 calls per session pac,ets per call and mean pac,et

    sie. >it" t"ese parameters yo& can or, o&t t"e $&sy "o&r service t"ro&'"p&t and

    e%&ivalent Erl. Ta$le 1.2)4 'ives t"e calc&lation met"od of data service t"ro&'"p&t.

    Ta$le 1.2)4 Data Service T"ro&'"p&t Calc&lation

    Parameter Sym$ol

    *#SA of data service a

    Application proportion $

    Calls per session c

    Pac,ets per call d

    Mean pac,et sie 6*yte7 e

    Service $ear rate f

    Service t"ro&'"p&t 6,$its?*#7 J aB$BcBdBeB?1(((

    Erl " J '?30((?f

    *ased on t"e national CDMA &ser "a$it analysis statistics in con:&nction it" t"e

    international +MTS data service feat&res parameters of data service ETS model in

    5

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    +MTS Scale Estimation

    donton area are 'iven in Ta$le 1.2)-G

    Ta$le 1.2)- Parameters of Data Service ETS Model in Donton Area

    Service *#SA

    Call per

    Session

    +?D

    Pac,et

    in a Call

    +?D

    Mean Pac,et

    Sie 6*yte7

    T"ro&'"p&t

    +?D6,$its7

    E)mail (.3 2?2 1-?1- 4( 34.-0?34.-0

    MMS (.(- 2?2 1-?1- 4( -./0?-./0

    ntranet (.1- -?- 4?2/ 4( 11.-0?//./0

    E)commer

    ce

    (.(- 2?2 1(?20 4( 3.4?!.!

    nfo

    Services(.( 2?2 -?33 4( 0.14?4(.0!

    Entertai

    nment(.(2 -?- 4?2/ 4( 1.-4?1(.3/

    >>> (.2 -?- 2?1- 4( /.0?-/.0(

    FTP (.1- 1?1 ?/4 4( 4.01?42.02

    *eca&se all services ill finally come don to t"e $ear rate Ta$le 1.2)0 provides a

    recommended data service model at t"e early sta'e of 3 constr&ction $ased on $ear

    rate. >"ere 34 service is applica$le only for donton and &r$an areas d&e to its

    'reat impact on netor, covera'e.

    Ta$le 1.2)0 Data Service Model

    *ear

    =ate

    6,$ps7

    *&sy #o&r Traffic 6,$its7+plin,?Donli

    n, ProportionDonton

    Area+r$an Area S&$&r$ Area =&ral Area

    04?04 (.04 03.(4 3. 1-./0 1G1

    04?12 101. 14(.3 /.3- 34.!4 1G/

    04?34 112.-1 0. -4.2- 21./ 1G1(

    oteG T"e data in t"is ta$le is intended for Class 4 area "ic" relatively drops $e"ind

    Class 1 2 and 3 areas so t"at yo& can m&ltiply t"e data $y 3( 2( and 1( respectively

    for t"ese areas.

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    C"apter 3 Scale Estimation E8ample

    re'ions. T"e telecomm&nication development in provinces and cities of t"e same

    re'ion "as many similarities so t"at t"ey are ta,en into acco&nt compre"ensively.

    T"ese fo&r classes of re'ions are as follosG

    Class 1G &an'don' S"an'"ai *ei:in' and I"e:ian'

    Class 2G Tian:in F&:ian S"andon' iaonin' Sic"&an C"on'%in' and Kian's&

    Class 3G #eilon':ian' Kilin #&nan nner Mon'olia #&$ei #enan and #ainan

    Class 4G 5in'"ai #e$ei Ti$et S"an8i An"&i &an'8i Kian'8i S"aan8i L&nnan

    ans& in'8ia in:ian' and &i"o&.

    7

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    2 UMTS Capacity Estimation

    2.1 Capacity Estimation Flo

    T"e capacity estimation is anot"er important part of t"e scale estimation. T"e p&rpose

    of capacity estimation is to estimate t"e appro8imate *S n&m$er needed $y t"e

    capacity accordin' to t"e service model and service traffic demand of t"e netor,

    plannin'. Similar it" t"e lin, $&d'et t"e capacity estimation s"o&ld $e performed

    from t"e &plin, and donlin,. For t"e +MTS system capacity t"e interference is

    limited in t"e &plin, direction and t"e *S poer is limited in t"e donlin, direction. n

    t"e 2 CDMA netor, t"e voice service is t"e main application service it"

    symmetrical &plin, and donlin, traffic t"e capacity is limited in t"e &plin, direction

    so t"e &plin, capacity calc&lation is foc&sed on in capacity estimation. #oever in t"e

    +MTS netor, t"e data service proportion is o$vio&sly increased and t"e netor,

    &plin, and donlin, traffic $ecomes asymmetric 'enerally and even t"e donlin,

    capacity may $e limited. T"erefore t"e +MTS capacity estimation s"o&ld $e

    performed from t"e &plin, and donlin, respectively. T"e folloin' steps are involvedin capacity estimationG

    1 #y$rid service intensity analysis. T"e +MTS system can provide m&ltiple

    services. T"e "y$rid service intensity analysis ma,es t"e system capacity

    cons&med $y vario&s services e%&ivalent to t"at cons&med $y a sin'le service.

    2 +plin, capacity estimation. Estimate t"e *S n&m$er t"at meets t"e service

    demand $ased on t"e "y$rid service intensity analysis.

    3 Donlin, capacity estimation. t is a verification process. T"e *S transmission

    poer form&la is &sed to calc&late t"e c"annel n&m$er t"at can $e provided $y

    t"e c&rrent *S scale so as to verify "et"er t"is c"annel n&m$er can meet t"e

    capacity re%&irement and if it cannot stations need $e added.

    2.2 Estimation Met!od of "y#rid Service Capacity

    T"ere are m&ltiple services in t"e +MTS netor, t"eir service rates and re%&ired

    E$?o are diversified t"e effects on t"e system load and cons&med *S reso&rces are

    different so t"e estimation for t"e cell capacity cannot adopt t"e met"od for estimatin'

    9

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    t"e cell capacity in a p&re voice netor,. An idea of "y$rid service capacity estimation

    is to ma,e e%&ivalent amon' vario&s services to ma,e t"e system capacity cons&med

    $y vario&s services e%&ivalent to t"at cons&med $y a sin'le service. T"e E%&ivalent

    Erlan' Post Erlan')* and Camp$ell met"ods in t"e "y$rid service estimation are

    introd&ced respectively as follos.

    2.2.1 E$%ivalent Erlan& Met!od

    T"e f&ndamental principle of t"e E%&ivalent Erlan' met"od is to ma,e a service

    e%&ivalent to anot"er service calc&late t"e total traffic 6erl7 of t"e e%&ivalent services

    and co&nt t"e c"annel n&m$er needed $y t"is traffic. >e ill 'ive an e8ample to

    e8plain it as $elo.

    S&ppose services A and * are provided in t"e netor, "ere

    service AG eac" connection occ&pies one c"annel and t"e total is 12 erl

    service *G eac" connection occ&pies 3 c"annels and t"e total is 0 erl.

    f 1 erl service * is e%&ivalent to 3 erl service A t"e total traffic in t"e netor, ill $e

    12N0B3J3( erl 6service A7. After %&eryin' Ta$le erl)* e ,no t"at alto'et"er 3!

    c"annels are needed &nder 2O $loc,in' rate.

    f 3 erl service A is e%&ivalent to 1 erl service * t"e total traffic in t"e netor, ill $e

    12?3N0J1( erl 6service *7. After %&eryin' Ta$le erl)* e ,no t"at alto'et"er 1/

    service * c"annels 6e%&ivalent to 1/B3J-1 service A c"annels7 are needed &nder 2O

    $loc,in' rate.

    +pon t"e a$ove analysis e ,no t"at calc&lation res&lt t"ro&'" t"e E%&ivalent

    Erlan' met"od is related to t"e e%&ivalent mode adopted. T"e res&lt t"ro&'" t"e former

    e%&ivalent mode is too small 63! c"annels7 "ic" is too optimistic "ile t"e res&lt

    t"ro&'" t"e latter mode is too lar'e 6-1 c"annels7 "ic" is too pessimistic as s"on int"e folloin' fi'&reG

    0

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    C"apter 3 Scale Estimation E8ample

    Capacities meetin' t"e

    same e ill 'ive an e8ample to e8plain it as $elo.

    S&ppose services A and * are provided in t"e netor, "ere

    service AG eac" connection occ&pies one c"annel and t"e total is 12 erl

    service *G eac" connection occ&pies 3 c"annels and t"e total is 0 erl.

    After %&eryin' Ta$le erl)* e ,no t"at alto'et"er 1! c"annels are needed to meet

    service A traffic 612 erl7 &nder 2O $loc,in' rate.

    After %&eryin' Ta$le erl)* e ,no t"at alto'et"er 12 service * c"annels 6e%&ivalent

    to 12B3J30 service A c"annels7 are needed to meet service * traffic 60 erl7 &nder 2O

    $loc,in' rate.

    T"e to services need 1!N30J-- c"annels totally.

    Calc&late t"e netor, capacity in a special case $ased on t"e Post Erlan')* met"odG

    S&ppose services A and * are t"e same ,ind "ere

    service AG eac" connection occ&pies one c"annel and t"e total is 12 erl

    service *G eac" connection occ&pies 1 c"annels and t"e total is 0 erl.

    After %&eryin' Ta$le erl)* e ,no t"at alto'et"er 1! c"annels are needed to meet

    service A traffic 612 erl7 &nder 2O $loc,in' rate.

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    +MTS Scale Estimation

    After %&eryin' Ta$le erl)* e ,no t"at alto'et"er 12 c"annels are needed to meet t"e

    service * traffic 60 erl7 &nder 2O $loc,in' rate.

    Services A and * need 1!N12J31 c"annels totally.

    *eca&se services A and * are t"e same ,ind t"e total traffic is 12N0J1 erl. Accordin'

    to t"e c&rrently ,non met"od of capacity calc&lation in sin'le service after %&eryin'

    Ta$le erl)* e ,no t"at 20 c"annels are needed to meet t"e traffic demand &nder 2O

    $loc,in' rate. T"is res&lt is correct o$vio&sly.

    +pon a$ove analysis e can see t"at t"e calc&lation res&lt t"ro&'" t"e Post Erlan'

    met"od is too pessimistic 631207. T"e reason is t"at t"e *S c"annels are s"ared

    amon' services "oever t"e Post Erlan' met"od factitio&sly separates t"e c"annels

    &sed $y t"e services and t"&s t"e *S c"annel reso&rce &tiliation ratio is red&ced as

    s"on in t"e folloin' fi'&reG

    Capacities meetin' t"e same

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    C"apter 3 Scale Estimation E8ample

    ==

    iii

    i

    ii

    aerl

    aerlv

    c

    2

    cfficOfferedTra

    =

    c

    aCCapacity ii

    76 =

    >"ere c indicates capacity factor.

    v indicates "y$rid service variance.

    indicates "y$rid service mean.

    ia indicates t"e e%&ivalent intensity of service i.

    iC indicates t"e c"annel n&m$er needed $y service i.

    e ill 'ive an e8ample to e8plain it as $elo.

    S&ppose services A and * are provided in t"e netor, "ere

    service AG eac" connection occ&pies one c"annel and t"e total is 12 erl

    service *G eac" connection occ&pies 3 c"annels and t"e total is 0 erl.

    E%&ivalent intensity of service A a1J1 and t"at of service * a2J3.

    T"e "y$rid service mean is =+==i

    iiaerl 3(30112

    T"e "y$rid service variance is =+==i

    iiaerlv 0030112 22

    T"e capacity factor is2.2

    3(

    00===

    vc

    T"e virt&al traffic is03.13

    2.2

    3(===

    cfficOfferedTra

    After %&eryin' Ta$le erl)* e ,no t"at alto'et"er 21 virt&al c"annels are needed to

    meet t"e virt&al traffic &nder 2% blocking rate.

    Accordin' to form&la 67 &nder 2O $loc,in' rate t"e c"annel n&m$er needed $y eac"

    service is s"on as follosG

    3

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    +MTS Scale Estimation

    Service AG4/172.22161 =+=C

    Service *G

    4!372.22161 =+=C

    From t"e a$ove analysis compared it" res&lts of t"e E%&ivalent Erlan' and Post

    Erlan')* met"ods t"e res&lt of t"e Camp$ell met"od is more credi$le so it is a more

    reasona$le estimation met"od for "y$rid service capacity at present. Accordin' to t"e

    Camp$ell met"od &nder t"e same re%&irement of t"e service level

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    C"apter 3 Scale Estimation E8ample

    $andidt" interference $ac,'ro&nd 'enerated $y ot"er &ser. To access a call t"e

    mo$ile station poer m&st $e lar'e eno&'" to overcome ot"er mo$ile stations in t"e

    $andidt" t"at is t"e receive si'nal in t"e *S m&st reac" E$?o 6ener'y per &ser $it

    to noise spectral density7 re%&ired $y t"e service demod&lation.

    NoEb j =7?6 +ser KPs "andlin' 'ain+ser KPs si'nal

    Total receive poer 6it"o&t its on si'nal7

    T"e a$ove form&la can $e ritten intoG

    jtotal

    j

    jjj

    PI

    P

    Rv

    WNoEb

    =7?6

    >"ere > indicates t"e c"ip rate 3.4 Mc"ip?s.

    v: indicates &ser :@s activation factor.

    =: is &ser :@s $it rate.

    P: indicates receive poer for si'nals from &ser :.

    total indicates total $road$and receive poer it" t"e t"ermal noise poer incl&ded of

    t"e *S.

    From t"e a$ove form&la e ,no t"at t"e receive poer at t"e *S receive end s"o&ld

    meet t"e folloin' form&la so t"at t"e &ser si'nal can meet t"e demod&lation

    re%&irementG

    total

    jjj

    j I

    vRNoEb

    WP

    7?61

    1

    +

    =

    Define a connection load factor :G

    jjj

    j

    vRNoEbW

    L

    7?61

    1

    +

    =

    : indicates t"e ratio of &ser si'nal poer to t"e total *S receive poer so a sin'le

    &ser si'nal poer P: is represented to tataljj ILP =

    .

    T"e total receive poer of all &sers from one cell isG

    ==

    =

    N

    j

    tatalj

    N

    j

    j ILP

    11

    enerally t"e total receive poer at t"e *S receive end consists of in)cell &ser

    5

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    +MTS Scale Estimation

    interference poer o&t)cell &ser interference poer and *S t"ermal noise t"at isG

    Notherintatal

    PPPI ++=

    >"ere Pin indicates t"e total interference poer of in)cell &sers.

    Pot"er indicates t"e total interference poer of o&t)cell &sers.

    P indicates t"e *S t"ermal noise poer.

    *eca&se t"e o&t)cell mo$ile station interference poer is not controlled $y t"e local

    cell *S t"e interference is "ard to determine. enerally define t"e ratio of t"e

    interference from ot"er cell to t"at of t"e local cell as t"e nei'"$or cell@s interference

    factor iG

    =i

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    C"apter 3 Scale Estimation E8ample

    UL

    NR

    =1

    1

    or7161(76 1( ULLOGdBNR =

    T"is e%&ation reflects t"e t"ermal noise liftin' ca&sed $y &ser interference at t"e *S

    receive end. 3 d* noise liftin' corresponds to -(O load factors and 0 d* noise liftin'

    corresponds to /-O load factors. enerally t"e netor, plannin' s&pposes t"at t"e

    &plin, load factor is -(O in a sin'le service t"e c"annel n&m$er provided $y eac" cell

    can $e calc&lated t"ro&'" form&la 617 and t"en t"e total *S n&m$er re%&ired $y t"e

    &plin, capacity demand can $e co&nted f&rt"er. For t"e capacity estimation for "y$rid

    service t"e Camp$ell al'orit"m s"o&ld $e com$ined to ma,e t"e system reso&rces

    cons&med $y vario&s services e%&ivalent to t"ose cons&med $y a sin'le service. T"en

    t"e c"annel n&m$er provided $y eac" cell can $e calc&lated t"ro&'" form&la 617 and

    t"e *S n&m$er re%&ired $y t"e "y$rid service capacity demand can $e co&nted f&rt"er.

    T"e ne8t section details t"e capacity estimation flo of t"e "y$rid service.

    T"e &plin, noise liftin' NR corresponds to t"e interference mar'in in t"e &plin,

    $&d'et t"at is t"e covera'e is related to t"e capacity. n plannin' t"e netor, load

    factor s"o&ld $e determined to 'et t"e noise liftin' correspondin' to t"is load. T"en

    t"e *S radi&s meetin' t"e &plin, capacity re%&irement can $e calc&lated f&rt"er

    t"ro&'" t"e lin, $&d'et.

    2.3.2 Uplin) Capacity and Scale Estimation

    T"e previo&s section descri$es t"e load factor of &plin, $ased on "ic" t"is section

    descri$es "o to estimate t"e *S %&antity satisfyin' t"e composite traffic re%&irements

    for &plin,. Fi'&re 2.3)1 s"os t"e flo of estimatin' &plin, capacity.

    7

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    +MTS Scale Estimation

    Calc&late e%&ivalent

    intensity of services

    Calc&late t"e variance

    avera'e val&e and capacity

    factor of t"e mi8ed service

    ;irt&al traffic A of t"e

    system

    Calc&late t"e %&antity

    of e%&ivalent voice c"annels

    in a cell

    T"e %&antity of virt&al

    c"annels in t"e sell

    ;irt&al traffic * of t"e cell

    &m$er

    of cells

    A?*

    Error:

    Reference source not foun

    Fi'&re 2.3)1 Flo C"art of Estimatin' +plin, Capacity

    1 Calc&late t"e virt&al composite traffic of t"e system.

    *eca&se vario&s services "ave different effects on system load s&c" an effect

    can $e e%&ivalent to t"e effect of m&ltiple voice c"annels on system load. T"e

    calc&lation form&la is as follosG

    amplit&de serviceJ 6=service 8 E$?oservice 8 vservice7? 6=voice 8 E$?ovoice

    8 voice7

    >"ere Rrepresents service rate.

    Eb/Norepresents %&ality factor of t"e service.

    vrepresents t"e activation factor of t"e service at t"e p"ysical layer

    Accordin' to t"e Campell t"eory t"e virt&al composite traffic of t"e system can

    $e calc&lated.

    2 Calc&late t"e %&antity of e%&ivalent voice c"annels provided $y a cell.

    !

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    C"apter 3 Scale Estimation E8ample

    S&ppose t"at system capacity load is represented $y t"e &plin, capacity

    form&la is as follos

    +

    +=

    N

    j

    o

    bj

    N

    EvR

    Wf

    1B

    1B1

    1B716

    >"ere represents load factor frepresents interference factor from an ad:acent

    cell v represents activation factor and Nrepresents t"e %&antity of c"annels.

    Accordin' to t"e a$ove form&la t"e %&antity of e%&ivalent voice c"annels

    provided $y a cell can $e eval&ated.

    3 Calc&late t"e %&antity of virt&al c"annels in every cell

    *ases on t"e %&antity of e%&ivalent voice c"annels eval&ated in step 2 and t"e

    folloin' form&la

    voice c"annelJvirt&al c"annelBC

    >"ere voice c"annel is t"e %&antity of e%&ivalent voice c"annels

    T"e %&antity of virt&al c"annels in every cell can $e eval&ated.

    4 oo, &p Ta$le Erl * accordin' to t"e %&antity of virt&al c"annels eval&ated in

    step 3 and 'et t"e %&antity of virt&al traffic in every cell.

    - Calc&late t"e %&antity of cells

    Accordin' to t"e virt&al composite traffic of t"e system eval&ated in step 2 and

    virt&al traffic of every cell eval&ated in step 4 calc&late t"e %&antity of re%&ired

    cellsG

    t"e n&m$er of cellsJcomposite traffic?t"e virt&al Erlan' n&m$er every cell

    T"e %&antity of *Ss re%&ired in t"ree sectors is calc&lated as follosG t"e

    n&m$er of cells?3.

    2.+ Donlin) Capacity Estimation

    2.+.1 Analysis of Donlin) *oad

    "en no poer in total *S

    poer can $e allocated to a ne &ser air interface capacity reac"es its limit. T"at is to

    say "en a *S transmits t"e total poer &sed for normal r&nnin' of all &sers e8ceeds

    9

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    +MTS Scale Estimation

    t"e rated poer of t"e *S donlin, capacity reac"es poer limit. T"erefore donlin,

    capacity is limited $y t"e total transmittin' poer of t"e *S.

    Similar to t"e analysis met"od of &plin, capacity analysis of donlin, capacity starts

    from t"e E$?o val&e re%&ired $y si'nal demod&lation. To correctly demod&late &sef&l

    si'nals on t"e donlin, t"e mo$ile station m&st overcome interference from t"e

    folloin' t"ree aspectsG interference ca&sed $y nonort"o'onality of t"e c"annel in a

    cell interference of si'nals from t"e o&tside of t"e cell and t"ermal noise from t"e

    mo$ile station. T"at is

    Nothertatal PPPI ++= 716

    >"erePrepresents total *S transmittin' poer.

    Potherrepresents total interference poer of si'nals from t"e o&tside of t"e cell.

    PNrepresents t"ermal noise poer from t"e mo$ile station.

    represents %&adrat&re factor of t"e donlin,.

    "ere W represents c"ip rate at 3.4 Mc"ip?s.

    vj represents activation factor of t"e &ser :.

    jR

    represents $it rate of t"e &ser :.

    j represents c"annel %&adrat&re factor from t"e &ser :.

    ji represents t"e ratio of *S poer received $y t"e &ser : from ot"er cell to t"at from

    t"is cell.

    *eca&se mo$ile stations are distri$&ted randomly in a cell j

    and ji are related to

    20

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    C"apter 3 Scale Estimation E8ample

    t"e location of &sers. For t"e avera'e val&e of cell load factors adopt its similar

    avera'e val&e in t"e "ole cell t"at isG

    =

    +=

    N

    j j

    jjL i

    RW

    NoEbv

    1

    Q71R6?

    7?6

    >"ere represents t"e avera'e %&adrat&re factor in a cell. enerally it is 0(O for

    t"e m&ltipat" c"annel and !(O for t"e non)m&ltipat" c"annel. i represents t"e

    avera'e ratio of t"e *S poer received $y t"e &ser from ot"er cell to t"at from t"is cell.

    enerally it is --O for t"e omni antenna macro cell and 0-O for t"e t"ree)sector

    antenna macro cell.

    D&rin' t"e analysis of donlin, capacity estimation of *S transmittin' poer is t"e

    most important. T"e estimated *S transmittin' poer is avera'e poer not pea, poer

    at t"e cell $o&ndary $eca&se t"e transmittin' poer distri$&ted $y t"e *S for eac" &ser

    is determined $y t"e avera'e loss from t"e *S to t"e mo$ile station and t"e sensitivity

    of t"e mo$ile station. "ere rfN

    represents t"e noise poer spectr&m density on t"e front of t"e mo$ile

    station receiver and it can $e calc&lated $y t"e folloin' form&laG

    72!(6s&p(.1/4 #po$eTN%dB&N%#TNrf

    =+=+=>"ere F represents

    t"e noise coefficient of t"e mo$ile station receiver it" t"e typical val&e of - d* to !

    d*.

    L represents t"e avera'e pat" loss "ic" is eval&ated $y s&$tractin' 0 d*m from t"e

    ma8im&m pat" loss.

    v: represents activation factor of t"e &ser :.

    =: represents $it rate of t"e &ser :.

    n t"e case of a sin'le service eval&ate t"e c"annel %&antity provided $y every cell

    2

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    +MTS Scale Estimation

    &nder t"e ma8im&m alloed transmittin' poer accordin' to t"e form&la 627 and

    f&rt"er eval&ate t"e total n&m$er of *Ss satisfyin' donlin, capacity re%&irements.

    n fact t"e analysis of &plin, and donlin, lin, performances is a "ard process.

    *eca&se t"e performance of donlin, depends on many $asic elements very m&c" its

    analysis cannot $e streamlined li,e t"e analysis of &plin,. T"e E$?o val&e ran'e of

    donlin, is a parameter c"an'in' 'reatly it" movin' speed and m&ltipat" condition.

    n addition t"e mo$ile station receiver does not &se antenna diversity. T"e reason "y

    t"e re%&ired E$?o val&e c"an'es it" t"e mo$ile station is t"at at least to pat"s

    cannot $e ens&red &nless it is clearly ,non t"at t"e mo$ile station is in soft "andoff or

    softer "andoff stat&ses. S&c" a c"an'e randomicity of mo$ile station location and

    interference level from t"e s&rro&ndin' cell ma,e t"e analysis of donlin,

    performance complicated. n desi'nin' a very conservative concl&sion can $e 'otten

    in t"e case t"e orst condition is considered. enerally estimate capacity after

    analyin' t"e c"annel %&antity re%&ired $y &plin, capacity and o$serve "et"er t"e

    donlin, can s&pport t"e mo$ile station to or, in t"e desi'nated covera'e area and

    its c"annel %&antity reac"es t"e c"annel %&antity 'enerated $y t"e &plin,.

    2.+.2 Donlin) Capacity and Scale Estimation

    Donlin, estimation is a verification process. T"e process of donlin, capacity and

    scale estimation is as follosG First calc&late t"e %&antity of e%&ivalent voice c"annels

    to $e provided $y t"is cell in t"e c&rrent service model and t"en calc&late t"e %&antity

    of e%&ivalent voice c"annels availa$ly provided $y t"e cell accordin' to t"e donlin,

    poer calc&lation form&la and s&$se%&ently compare t"ese to res&lts. f t"e %&antity

    to $e provided $y t"e cell is less t"an t"at availa$ly provided $y t"e cell it indicates

    t"at donlin, poer is eno&'" and t"e c&rrent scale satisfies system capacity

    re%&irements. f t"e former is lar'er t"an t"e latter it indicates t"at donlin, capacity

    is limited. To ma,e donlin, poer eno&'" add some *Ss.

    1 Calc&late t"e %&antity of e%&ivalent voice c"annels to $e provided $y every cell.

    +nder t"e precondition of ,non reverse capacity and scale yo& can eval&ate

    t"e traffic of vario&s services in every cell &nder s&c" a scale. T"en accordin' to

    t"e e%&ivalence of voice c"annels yo& can eval&ate t"e %&antity of e%&ivalent

    voice c"annels to $e provided $y every cell. T"is %&antity can $e calc&lated $y

    folloin' several steps $elo

    17 Calc&late t"e avera'e traffic of vario&s services in every cell accordin' to t"e *S

    22

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    C"apter 3 Scale Estimation E8ample

    %&antity of &plin, and total traffic of donlin,.

    Avera'e traffic of vario&s services in a cell=

    3ntity"tation'(aUplin)Ba$e

    in)TrafficTotalo*nl

    >"ere t"e *S %&antity is t"e lar'er val&e $eteen estimated &plin, covera'e

    and estimated capacity res&lt.

    27 Accordin' to t"e Campell t"eory calc&late t"e virt&al Erlan' traffic in every cell.

    T"e calc&lation met"od in t"is step is t"e same as t"at of &plin,.

    37 oo, &p Ta$le Erl * accordin' to t"e virt&al Erlan' traffic in every cell

    eval&ated in step 2 and calc&late t"e %&antity of virt&al c"annels in every cell.

    47 Accordin' to t"e %&antity of virt&al c"annels eval&ated in step 3 and t"e

    folloin' form&la

    c

    aCCapacity ii

    76 =

    yo& can eval&ate t"e %&antity of e%&ivalent voice c"annels to $e provided $y

    every cell.

    2 Calc&late t"e %&antity of e%&ivalent voice c"annels availa$ly provided $y t"ecell.

    Accordin' to t"e forard poer form&la

    Q71R6?

    7?6B1

    ?

    7?6BBB

    1

    1

    jj

    N

    j j

    jj

    N

    j j

    jjN

    RW

    NoEbv

    RW

    NoEbvLP

    P

    +

    =

    =

    =

    >"ere P represents t"e noise poer spectr&m density on t"e front of t"e

    mo$ile station receiver and it can $e calc&lated $y t"e folloin' form&laG

    72!(6s&p(.1/4 #po$eTN%dB&N%#TPN =+=+=

    F represents t"e noise coefficient of t"e mo$ile station receiver it" t"e typical

    val&e of - d* to ! d*.

    L represents t"e avera'e pat" loss "ic" is eval&ated $y s&$tractin' 0 d*m

    from t"e ma8im&m pat" loss. j represents t"e avera'e %&adrat&re factor.

    enerally it is (.0 for t"e m&ltipat" c"annel and (.! for t"e non)m&ltipat"

    c"annel.

    23

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    +MTS Scale Estimation

    j represents interference factor from an ad:acent cell. enerally it is (.-- for

    t"e omni antenna macro cell and (.0- for t"e t"ree)sector antenna macro cell.

    T"e %&antity of e%&ivalent voice c"annels availa$ly provided $y t"e cell can $e

    calc&lated.

    3 Compare t"e a$ove to res&lts. f t"e %&antity to $e provided $y t"e cell is less

    t"an t"at availa$ly provided $y t"e cell it indicates t"at donlin, poer is

    eno&'" and t"e c&rrent scale satisfies system capacity re%&irements. f t"e

    former is lar'er t"an t"e latter it indicates t"at donlin, capacity is limited. To

    ma,e donlin, poer eno&'" add some *Ss.

    24

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    3 Scale Estimation E,ample

    3.1 Ass%med Conditions

    S&ppose t"at t"e service model data of t"is area is as follosG

    C"annel environmentG T+ 3 ,m?"

    System desi'n loadG -(O

    ;oice service $loc,in' rateG (.(2O

    nterference factor from t"e ad:acent cellG (.0-

    5&adrat&re factorG (.0

    Area of t"e city oneG 4(. s%&are ,ilometers

    Services in t"is area are planned as follosG

    +plin,G

    ;oice CS04 PS04?04 PS04?12 PS04?34

    Data rate6,7 12.2 04 04 04 04

    Activity factor (.0/ 1 1 1 1

    E$?o 4./ 2./ 1.0 1.0 1.0

    Forecast traffic 3((( 4(( 1(( - 2

    Donlin,G

    ;oice CS04 PS04?04 PS04?12 PS04?34

    Datarate6,7 12.2 04 04 12 34

    Activity factor (.- 1 1 1 1

    E$?o /./ /./ /.4 0.4

    Forecast traffic 3((( 4(( 1(( 4( 2(

    25

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    3.2 Estimation Process

    3.2.1 Estimation Flo C!art

    2np&tGsystem load re%&irment and

    covera'e re%&irement

    +plin, covera'e

    estimation

    5&antity of *Ss

    satisfyin' &plin,

    covera'e

    Donlin, covera'e

    estimation

    5&antity of *Ss

    satisfyin' donlin,

    covera'e

    Compare t"e res&lts

    and eval&ate t"e

    lar'er one

    +plin, capacity

    estimation

    5&antity of *Ss

    satisfyin' &plin,

    capacity

    End

    *ased on traffic type *ased on poer

    5&antity A of

    c"annels to $e

    provided $y every cell

    on t"e donlin,

    5&antity * of

    c"annels availa$ly

    provided $y every

    cell on t"e donlin,

    Add*Ss

    Fo

    Lse

    A*

    Donlin,capacity

    estimation

    Error: Reference source not foun

    Fi'&re 3.2)1 Estimation Flo C"art

    3.2.2 Uplin) Covera&e Estimation

    1 Eval&ate t"e ma8im&m alloed pat" loss t"ro&'" lin, $&d'et

    26

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    C"apter 3 Scale Estimation E8ample

    T"e calc&lation form&la of &plin, $&d'et is as follosG

    T"e ma8im&m alloed space pat" loss=

    mo$ile station transmittin' poer6d*m7 +mo$ile station antenna 'ain 6d*7 "&man $ody loss 6d*7 *S feeder

    loss 6d*7 +*S receivin' antenna 'ain 6d*i7 +soft "andoff 'ain 6d*7 $&ildin'

    or car $ody penetration loss 6d*7 slo fadin' mar'in 6d*7 poer control

    mar'in 6d*7 interference mar'in 6d*7 *S receivin' sensitivity 6d*m7

    ;oice CS04 PS04 PS04?12 PS04?34

    Transmittin'

    end

    Ma8im&m transmittin'

    poer 6d*m721 21 21 21 21

    Antenna 'ain 6d*i7 ( ( ( ( (

    #&man $ody loss 6d*7 2 ( ( ( (

    Effective transmittin' poer 1! 21 21 21 21

    =eceivin'

    end

    T"ermal noise poer

    spectr&m density 6d*m?#I7)1/4 )1/4 )1/4 )1/4 )1/4

    T"ermal noise poer 6d*m7 )1( )1( )1( )1( )1(

    =eceiver noise coefficient

    6d*72.2 2.2 2.2 2.2 2.2

    =eceiver noise 6d*m7 )1(- )1(- )1(- )1(- )1(-

    nterference mar'in 6d*7 3 3 3 3 3

    *it rate 6,$it7 12.2 04 04 04 04Processin' 'ain 6d*7 24.! 1/./ 1/./ 1/./ 1/./

    =eceivin' E$?o 6d*7 4.2 2./ 1.0 1.0 1.0

    =eceiver sensitivity )124 )11 )11! )11! )11!

    Antenna 'ain 6d*i7 1/ 1/ 1/ 1/ 1/

    ine loss 4 4 4 4 4

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    +MTS Scale Estimation

    ,1 1-2.4

    ,2 44.0

    ,- )13.2

    ,0 )0.--

    #eff 3(

    91 and 92 parameters "ave 'reater effect on t"e $&d'et res&lt. >"ile 93 and 94 "ave

    less effect so t"eir val&es are (.

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    C"apter 3 Scale Estimation E8ample

    1amplit&defor1amplit&deforrate$it

    serviceforserviceforrate$it

    amplit&de=elative

    (

    (

    NE

    NE

    b

    b

    =

    o$tain

    voiceG 1

    CS04G 04 8 1 8 1((.2/?12.2 8 (.0/ 8 1((.42 J -./0

    PS04?04G 04 8 1 8 1((.10?12.2 8 (.0/ 8 1((.42 J 4.3

    PS04?12G 04 8 1 8 1((.10?12.2 8 (.0/ 8 1((.42 J 4.3

    PS04?34G 04 8 1 8 1((.10?12.2 8 (.0/ 8 1((.42 J 4.3

    27 Calc&late t"e mean of composite traffic

    =++++==i

    iiaerl&ean 1.-/003.423.4-3.41((0/.-4((13(((

    37 Calc&late t"e variance of composite traffic

    =++++==i

    iiaerliance 123.423.4-3.41((0/.-4((13(((var2222

    47 Calc&late t"e capacity factor

    capacity factor =variance?mean =3.1/

    -7 Calc&late t"e virt&al composite traffic of t"e system

    composite traffic =mean?capacity factor =-/00.1?3.1/ =11.!0 6Erl7

    2 Calc&late t"e %&antity of e%&ivalent voice c"annels availa$ly provided $y t"e

    cell

    Accordin' to t"e &plin, load form&la

    +

    +=

    N

    j

    o

    bj

    N

    EvR

    Wf

    1B

    1B1

    1B716

    >"ere O-(= and 0-.(=f

    'et t"e %&antity of e%&ivalent voice c"annels =-4

    3 Calc&late t"e %&antity of virt&al c"annels in every cell

    29

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    +MTS Scale Estimation

    Accordin' to

    c

    aCCapacity

    ii 76

    =

    'et t"e %&antity of virt&al c"annels in t"e cell =6-4 17?3.1/ =10

    4 oo, &p Ta$le Erl * accordin' to t"e %&antity of virt&al c"annels eval&ated in

    step 3 and 'et t"e %&antity of virt&al traffic in every cell t"at is !.3 Erl.

    - Calc&late t"e n&m$er of cells

    &m$er of cells = ;irt&al traffic of t"e system?virt&al traffic of every cell =

    11.!0?!.3 =10

    T"e n&m$er of re%&ired t"ree)sector *Ss =10?3 =02

    After t"e a$ove calc&lation e ,no t"at 4 stations are re%&ired for &plin,

    covera'e. T"e eval&ated n&m$er of stations is less t"an 4 so it meets $ot"

    covera'e and capacity re%&irements.

    3.2.+ Donlin) Capacity Estimation

    Donlin, capacity estimation is a verification process. >it" t"e donlin, poer

    form&la verify "et"er t"e n&m$er of *Ss eval&ated from &plin, covera'e and

    capacity $&d'et meets t"e poer re%&irement. Add *Ss &ntil donlin, poer meets

    t"e re%&irement.

    1 Calc&late t"e %&antity of e%&ivalent voice c"annels to $e provided $y every cell.

    17 Calc&late t"e avera'e traffic of vario&s services in eac" cell accordin' to t"e *S

    %&antity of &plin, and total traffic.

    Avera'e traffic of vario&s services in every cell isG

    ;oiceG 3(((?4?3 J 11.! Erl

    CS04G 4((?4 J 1.-! Erl

    PS04?04G 1((?4 J (.4 Erl

    PS04?12G 3-?4 J (.14 Erl

    PS04?34G 2(?4 J (.(/! Erl

    27 Calc&late t"e virt&al Erlan' traffic in every cell.

    E%&ivalent service intensity of eac" service on t"e donlin,

    30

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    C"apter 3 Scale Estimation E8ample

    ;oiceG 1

    CS04G 04 8 1 8 1(

    (.//

    ?12.2 8 (.0/ 8 1(

    (.//

    J /.

    PS04?04G 04 8 1 8 1((./4?12.2 8 (.0/ 8 1((.// J /.3

    PS04?12G 144 8 1 8 1((.04?12.2 8 (.0/ 8 1((.//J 13.1

    PS04?34G 144 8 1 8 1((.?12.2 8 (.0/ 8 1((.// J -(

    T"e mean of composite traffic is

    Mean J 11.! 1 +1.-! /. N (.4 /.3 N (.14 13.1 N (.(/! -( J

    33.(4

    T"e variance of composite traffic is

    ;ariance J 11.! 1 +1.-! /.2 N (.4 /.32 N (.14 13.12 N (.(/!

    -(2 J 3--.1!

    Capacity factor J variance?mean J 3--.1!?33.(4 J 1(./-

    ;irt&al traffic of t"e cell

    composite traffic J mean?capacity factor J 33.(4?1(./- J 3.(/ 6Erl7

    37 C"ec, Ta$le Erl * and o$tain t"at t"e %&antity of virt&al c"annels re%&ired $y

    every cell is /

    47 Calc&late t"e %&antity of e%&ivalent voice c"annels re%&ired $y eac" cell.

    Accordin' to t"e form&la

    c

    aCCapacity ii

    76 =

    eval&ate t"e %&antity of e%&ivalent voice c"annels isG / 1(./- +1 =/0.

    2 Calc&late t"e %&antity of e%&ivalent voice c"annels act&ally provided $y every

    cell.

    Accordin' to t"e donlin, poer form&la

    Q71R6?

    7?6B1

    ?

    7?6BBB

    1

    1

    jj

    N

    j j

    jj

    N

    j j

    jjN

    RW

    NoEbv

    RW

    NoEbvLP

    P

    +

    =

    =

    =

    >"ere P represents t"e ma8im&m service transmittin' poer "ic" is 13 >.

    3

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    +MTS Scale Estimation

    Prepresents t"e noise poer spectr&m density on t"e front of t"e mo$ile station

    receiver and its val&e is )10! d*m.

    L represents avera'e pat" loss "ic" is eval&ated $y s&$tractin' 0 d*m from

    t"e ma8im&m pat" loss.

    j represents avera'e %&adrat&re factor "ic" is (.0 for t"e m&ltipat" c"annel.

    j represents interference factor from an ad:acent cell. t is (.0- for t"e t"ree)

    sector antenna macro cell.