upena dalal 002 542 33 powerpoint-slideschapter 2
TRANSCRIPT
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
1/59
Oxford University Press 2014. All rights
Upena Dalal
Wireless
Communicationand Networks
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
2/59
Oxford University Press 2014. All rights
Cellular Theory
Chapter 2
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
3/59
Oxford University Press 2014. All rights
Why cellular technology
Cells clusters and cell s!litting "re#uency reuse conce!t and reuse distance
calculation
Cellular syste$ co$!onents
Antennas for %ase station
O!erations of cellular syste$s and hando&
Channel assign$ent ' (xed and dyna$ic
Cellular interferences'co)channel and ad*acentchannel
+ectori,ation
-o%ile trac calculation
+!ectru$ eciency of cellular syste$s
/ocation $anage$ent
ey o!ics
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
4/59
Oxford University Press 2014. All rights
he conce!t of truning 3resource sharing
%et5een t5o central tele!hone exchanges 5asused in conventional landline tele!hone syste$s.
A truned radio syste$ is a co$!lex centrallycontrolled full du!lex radio syste$ that allo5s
sharing of li$ited radio fre#uency 36" channelsa$ong a large grou! of users. 7t uses control orsignalling channels as 5ell.
7ntroduction
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
5/59
Oxford University Press 2014. All rights
he conce!t of cellular technology enco$!assesvarious as!ects of infrastructure for instancedivision of area fre#uency $anage$ent or
allocations and call handling.
"ollo5ing are the t5o $a*or co$!onents of $o%ileteleco$$unication syste$ in general8
Central station-- This is common for many
subscribers and includes the switchingequipment and an 6" trans$itter andreceiver.
obile telephone-- !"ery subscriber must
ha"e a mobile telephone that includes amicrophone# a s!eaer dialling facility aradio trans$itter and a receiver.
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
6/59
Oxford University Press 2014. All rights
7n $odern cellular tele!hony rural and ur%an
regions are divided into areas according to s!eci(c!rovisioning guidelines or standard !rotocols.
9e!loy$ent !ara$eters such as a$ount of cells!litting and cell si,es are deter$ined
ex!eri$entally in the cellular syste$ architecture. Provisioning for each region is !lanned according to
an engineering !lan 5hich includes cells clustersfre#uency reuse and handovers.
oday soft5are tools are also availa%le to !lan anddesign cellular architecture.
Cellular infrastructure
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
7/59 Oxford University Press 2014. All rights
A cell is the basic geographic unit of a cellular system.
he ter$ cellular comes from the honeycomb(hexagonal) shape of the areas into 5hich a coverageregion is divided theoretically.
Cell5ise one %ase station !rovides trans$ission overa s$all geogra!hic area.
Cell si,es vary de!ending on the landsca!e3to!ogra!hic locations such as $ountains valleysand !lains.
9ue to the constraints i$!osed %y natural terrain and
$an)$ade structures !ractically the cells are not!erfect hexagons.
Cells
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
8/59 Oxford University Press 2014. All rights
A grou! of cells for$ a cluster , the size of which is
denoted as N."igure illustrates a seven)cell cluster. :ach cluster isallocated a set of fre#uencies.N is restricted %y thefollo5ing e#uation8
Cluster
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
9/59 Oxford University Press 2014. All rights
non)negative integers i
andj determine the relative locationsof co-channel cells, as shownin "igure.i ; vertical $ove * ; slant hori,ontal$ove
A relationshi! exists %et5een thecluster design e#uation andfre#uency reuse as 5ell as reusedistance.
6eaching to co)channel cell
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
10/59 Oxford University Press 2014. All rights
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
11/59 Oxford University Press 2014. All rights
he si,e of a cell de!ends on the density of
su%scri%ers in an area.
he ca!acity of a net5or in a densely !o!ulatedarea can %e i$!roved %y reducing the si,e of thecells or %y increasing the nu$%er of cells along 5ithinstalling lo5)!o5er %ase stations. his 5ille&ectively increase the nu$%er of channels in thatarea %ecause of $ore fre#uency reuse.
On the %asis of their si,e cells $ay %e categori,edas macrocells, microcells , picocells, and femtocells .
Cell +i,e
tt
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
12/59 Oxford University Press 2014. All rights
e ! tt ng' or $ax $ , ng nu$ erof users
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
13/59 Oxford University Press 2014. All rights
A radio channel consists of a !air of fre#uencies for full
du!lex o!eration. he conce!t of fre#uency reuse is %ased on assigning to
each cluster the sa$e grou! of radio channels used5ithin a s$all geogra!hic area. A set of N dierentfre!uency groups
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
14/59 Oxford University Press 2014. All rights
/et $ % total number of duplex channels available for reuse (i.e.,fre!uencies !er cluster& % number of duplex channels allocated to each cell of a cluster (&
' $)N % cluster size (in which there are N cells) % number of times the cluster is repeated % total eective number of duplex channels available in the areahus $ % & * N % * $ % &N
Cluster of seven cells
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
15/59 Oxford University Press 2014. All rights
"or :xa$!le8
calculation
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
16/59 Oxford University Press 2014. All rights
Cellular !lanning can %edone %y using varioussoft5ares and !lanningtools
screenshot of :ricsson :-+
6eal 5orld cells
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
17/59 Oxford University Press 2014. All rights
There are three types of cellular systems
$% &nalog Circuit-switched Cellular 'ystem
Mobile Unit or mobile subscriber unit (+)
Cell Site or base station Mobile Telecommunication Switching
Ofce
(or connection management and billing)
Cellular syste$ co$!onents
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
18/59 Oxford University Press 2014. All rights
2. Digital Circuit-switched Cellular'ystem Mobile Station
Base Station or Base Transceiver Station
Base Station Controller
Switching Subsystems
(% )acket-switched Cellular 'ystem 7t has six ele$ents8 -+ 3user e#ui!$ent %ase
station radio net5or controller36?C servicesu!!ort node 3++? gate5ay su!!ort node 3@+?and charging gate5ay function 3C@".
Cellular syste$ co$!onents
: l f di it l i it it h d ll l t
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
19/59 Oxford University Press 2014. All rights
o %e studied in Cha!ter 117n detail.
:xa$!le of digital circuit s5itched cellular syste$exa$!le 3@+- syste$
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
20/59 Oxford University Press 2014. All rights
5o $ain ty!es of antennas are usedin the 5ireless industry for a +'
omnidirectionaland directional
O$nidirectional 9irectional 5ith B
sectors
syste$s
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
21/59
Oxford University Press 2014. All rights
O$nidirectional antennas are nothing %ut the di!oles and
they radiate in all lateral directions.
A directional antenna sha!es and !ro*ects a %ea$ of radioenergy in a s!eci(c direction and receives radio energy onlyfro$ a s!eci(c direction e$!loying various hori,ontal
%ea$5idths.
ere the ter$ beamwidth refers to the conical si,e of theradiated %ea$.
9o5ntilting)))he radiation !attern of a do5ntilt antenna iselectrically or $echanically tilted do5n5ards at a s!eci(ednu$%er of degrees to avoid shado5ing under and near theantenna ,one.
syste$s
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
22/59
Oxford University Press 2014. All rights
A %ase station antenna is chosen according to the
situation de!ending u!on $any factors such asthe follo5ing8
+i,e of the area to %e covered
Con(gurations of the neigh%ouring cell sites
y!e of antenna used'o$nidirectional ordirectional
AntennaDs %ea$5idth in case of a directionalantenna
Allotted 6" s!ectru$ the antenna can utili,e
syste$s
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
23/59
Oxford University Press 2014. All rights
he !ro%a%le adverse e&ects of the radiation fro$ the %asestations are a $a*or concern es!ecially a$ong residents inur%an areas. 7nde!endent $onitoring of 6" ex!osure levelsaround $o%ile !hone %ase stations has %een conducted for$any years under the control of govern$ent agencies.
6adiation !attern fro$ %ase station 3/ighter shades of grey indicatedecreasing !o5er strength
+tations
ntennas or o e a o re#uency
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
24/59
Oxford University Press 2014. All rights
Currently P7"A 3!lanar inverted)" antenna'a shorted !atch
5ide%and antennas are used 5idely and so$eti$es fractalantennas are also used. P7"A is the $odi(ed version of the#uarter)5avelength !atch antenna.
As the !atch is shorted at the end the current at the end of
the !atch antenna is no longer forced to %e ,ero. hisresults in the sa$e currentEvoltage distri%ution as that of ahalf)5ave !atch antenna. he antenna is resonant at a#uarter)5avelength thus reducing the s!ace needed on thetele!honeF $oreover it ty!ically has good s!eci(c
a%sor!tion rate 3+A6 !ro!erties. 7t has a lo5 !ro(le and ano$nidirectional !attern.
ntennas or o e a o re#uency"ront :nd
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
25/59
Oxford University Press 2014. All rights
'tages for obile-originated Call
here are t5o !ossi%ilities in a $o%ile)originated call8mobile-to-mobile call and mobile-to-landline call .
As an exa$!le the call set)u! se#uences for $o%ile)originatedcalls in a @+- syste$ are given in "ig. 11.B in Cha!ter 11
$% obile-originatedCall
syste$s
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
26/59
Oxford University Press 2014. All rights
here are t5o !ossi%ilities8mobile-to-mobile call and landline-to-mobile call
2% obile-TerminatedCall
'tages for obile-terminated Call
syste$s
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
27/59
Oxford University Press 2014. All rights
-o%ile)originated calls are routed to the + (rst and then
to the +C. he +C for5ards this call to the -+C.
he -+C authenticates and routes the call to the calledsu%scri%er as !er the dialled digits.
7f the called su%scri%er is in $o%ility the !rocess to
receive the call on his $o%ile device is descri%ed in+ection 2.G.2
-o%ile)ter$inated calls co$e to the -+C (rst 5here the/6=H/6 en#uiry is carried out and as !er the
infor$ation the -+ is !aged in the suita%le +C. he +C for5ards this !age to all +s 5here the actual
!aging is done.
After a + gets a res!onse fro$ the $o%ile it allocatesa channel for this call.
On ending the call the + infor$s the +C and -+C.
+te!s
et5or or g nate or an ne
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
28/59
Oxford University Press 2014. All rights
A feature called registration is used for landline-
originated calls. landline user dials a $o%ile unit nu$%er.
he tele!hone co$!any ,one oce recogni,es thatthe call is for a $o%ile nu$%er and for5ards it to the
-+O=-+C. he -+O=-+C sends a !aging $essage to certain
cell sites %ased on the $o%ile unit nu$%er and thesearch algorith$. :ach cell site trans$its the !age
on its o5n set)u! channel. 7f the $o%ile unit is registered the registered site
!ages the $o%ile. he $o%ile unit recogni,es its o5nidenti(cation
on a strong set)u! channel locs onto it andres onds to the cell site.
et5or )or g nate or an ne)originated Call
C ll i i
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
29/59
Oxford University Press 2014. All rights
When a $o%ile user turns o& the trans$itter a
!articular signalling tone is trans$itted to the cellsite and the voice channel is freed %y %oth thesides.
he $o%ile unit resu$es $onitoring !ages through
the strongest set)u! channel.
Call er$ination
d & P d
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
30/59
Oxford University Press 2014. All rights
*ando+ is alsoknown ashandover
!t can becategori"ed as#
hard handoversot handoversoter handover
ard andover scenario
ando& Procedure
"e5 ter$s associated 5ith the hando&
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
31/59
Oxford University Press 2014. All rights
*ando+ probability 7t is the !ro%a%ility that a hando& is executed
%efore call ter$ination.
,ate of hando"er 7t is the nu$%er of handovers !er unit ti$e.
nterruption duration 7t is the duration of ti$e during a handover
!rocedure in 5hich a $o%ile is not connected to any %ase station.
*ando+ delay 7t is the distance %et5een the !oint at 5hich thehando& should occur and the !oint at 5hich it does occur.
)robability of unsuccessful hando+ 7t is the !ro%a%ility that ahando& is executed 5hile the rece!tion conditions are inade#uate.
*ando+ blocking probability 7t is the !ro%a%ility that a handovercannot %e co$!leted successfully.
"e5 ter$s associated 5ith the hando&!rocedure
d i
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
32/59
Oxford University Press 2014. All rights
he hando& occurs only if the ne5 %ase station is sucientlystronger than the current one %y handover $argin .
ard handover sche$e !revents theping-pong eect.
ard handover !rocedure exhi%its hysteresis .
*ando"er strategies The following are the two di+erentstrategies forhandover8
3a Centrali,ed $ethods 3used in @+-3% 9ecentrali,ed $ethods Iused in 9:C 3W//J
andover $argin
- th d f h d &
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
33/59
Oxford University Press 2014. All rights
Mobile$assisted hando% /he mobile measures the power
received from the surrounding %ase stations and continuouslyre!orts the results of the $easure$ents to the serving %asestation. A hando& is initiated 5hen the !o5er received fro$ the%ase station of a neigh%ouring cell %egins to exceed that fro$the current %ase station %y a certain level or a certain !eriod ofti$e. his $ethod is currently %eing used in the $o%ile syste$s.
Base station$assisted hando% 0n the 1rst-generationsystems, the strength measurements are $ade %y the %asestations and su!ervised %y the -+O. ere the %ase station$easures the signals fro$ the $o%iles served %y it as 5ell as
fro$ the $o%iles in the neigh%ouring cells and re!orts to the-+O. he -+O decides 5hether a hando& is necessary as 5ellas 5ho needs it. ere the load of the -+O is $ore co$!ared tothe $o%ile)assisted $ethod and hence hando&s are slo5er.
-ethods of hand)o&
+ ft d
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
34/59
Oxford University Press 2014. All rights
7t allo5s the -+C to $ae a soft decision regarding
the version of the userDs signal to !ass.
he a%ility to select %et5een the instantaneous
received signals fro$ a variety of %ase stations is
called soft handover. /he techni!ue is discussed in
detail in Cha!ter 11.
-ore suita%le for C9-A %ased syste$s.
+oft andover
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
35/59
Oxford University Press 2014. All rights
"igure for :xa$!le 2.B
Ch l A i t
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
36/59
Oxford University Press 2014. All rights
&i'ed Channel ssignment 7n the (xed channel assign$ent $ethod each cell isallocated a !redeter$ined set of voice channels. Only the unused channels in a
!articular cell can serve any call atte$!t 5ithin that cell. 7f all the channels areoccu!ied then the call 5ill %e %loced and the su%scri%ers 5ill not get any service.
Borrowing Strategy7n the %orro5ing strategy $ethod a cell is allo5ed to %orro5 achannel fro$ a neigh%ouring cell if all of its o5n channels are occu!ied. he -+Csu!ervises the %orro5ing !rocedure and ensures that the %orro5ing of the channeldoes not disru!t or interfere 5ith any of the calls in !rogress in the donor cell.
ynamic Channel ssignment 7n the dyna$ic channel assign$ent $ethod voicechannels are not allocated !er$anently in any of the cell. When a call re#uest is$ade the serving %ase station re#uests a channel fro$ the -+C 5hich thenallocates a channel to the re#uested cell.
Advantages of the dyna$ic channel assign$ent ))the lielihood of call %locing reduces co)channelinterference reduces and channel utili,ation increases.
9isadvantage is that the -+C $ust %e fast and ca!a%le of collecting real)ti$e data on channeloccu!ancy trac distri%ution and radio signal strength indications of all channels on a continuous
%asis.
Channel Assign$ent
C ll l i t f
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
37/59
Oxford University Press 2014. All rights
5o $a*or ty!es ofcellular interferencesare co-channelinterference andadjacent channel
interference.
o2channel 0nterferencedue to this scenario
Cellular interferences
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
38/59
Oxford University Press 2014. All rights
he co)channel cells surrounding a !articular cell exist in a circular3or rather hexagonal !attern. here 5ill %e $axi$u$ interferencefro$ the nearest circle of cells 5hich are also called 1rst-tier cellsand are always six in number. 3ased on that the signal)to)interference ratio 3+76 for a $o%ile receiver
5here + is the desired signal power from the desired base stationand 0i is the interference power of the base station of the ithinterfering co-channel cell (neglecting noise). n is the path lossexponent. /he e$!irical value of n ranges from two to 1ve.
ased on the distance of the interfering %ase stations to thedesired $o%ile receiver 4i, 456 ratio and cluster size N
)calculations
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
39/59
Oxford University Press 2014. All rights
5here & is the proportionality constant, which depends on thepower radiated by the base station at the centre. 0 representsthe power radiated by the other base stations in the 1rst tier,
5hich are six in nu$%er.
ence
"ro$ a%ove t5o e#uations
"ro$ the e#uation it is clear that N should be designed
critically for the desired +06.
)calculations
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
40/59
Oxford University Press 2014. All rights
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
41/59
Oxford University Press 2014. All rights
Ad*acent channel
interference can %e$ini$i,ed throughcareful (ltering at 7"stages and carefulchannelassign$ents.
interference
+ectori,ation
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
42/59
Oxford University Press 2014. All rights
+ectori,ed %ase stations are created %y su%dividing an o$nicellinto sectors that are covered using directional antennas $ounted
in the sa$e %ase station location. "ollo5ing is the exa$!le of Bsector division and each sector is treated as di&erent cell.
o sectori,e a cell ahori,ontal e#uilateral
!latfor$ rese$%ling atriangle is de!loyedon a to5er. :ach sideof the !latfor$ iscalled a face. /hree,four, or six directional
antennas are installedon the !latfor$de!ending on thenu$%er of sectors.
+ectori,ation
Why +ectori,ation
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
43/59
Oxford University Press 2014. All rights
+ectori,ation facilitates 5ireless engineering and
o!erations in the follo5ing 5ays8 7t $ini$i,es or eli$inates co)channel
interference.
7t o!ti$i,es the fre#uency reuse !lan. his is
facilitated through another conce!t no5n as thefront-to-bac& ratio .
At a $ini$u$ it tri!les the ca!acity of any givencoverage area 5hen co$!ared to the ca!acityo&ered %y de!loying o$ni)antennas.
Why +ectori,ation
-o%ile trac calculation
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
44/59
Oxford University Press 2014. All rights
rac calculation is essential to %oth $o%ile !hone
and landline syste$s. On the %asis of the trac condition the tele!hone
syste$ $ust %e designed such that only a $ini$u$nu$%er of calls are %loced and uninterru!ted
service is !rovided to the su%scri%ers. he trac varies considera%ly throughout a day %ut
$ost syste$s are designed to handle the tracduring the !ea %usy hour in a day.
-o%ile trac calculation
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
45/59
Oxford University Press 2014. All rights
rac variation in a s$all %usiness (r$ as !er nor$alactivities in a day fro$ K a.$. to 10 !.$. is sho5n in (gure%y average trac $easured every hour
7n teletrac engineering trun& describes any entity that will carry
one call. /he number of truns connecting one -+C 5ith another isthe nu$%er of voice !airs used in the connectionF hence it isi$!ortant to deter$ine the nu$%er of truns re#uired %et5een the-+Cs.
runing eciency refers to the decrease in call %locing and
increase in coverage 5ithout call dro!s at the cost of $anage$entoverhead.
+o$e de(nitions
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
46/59
Oxford University Press 2014. All rights
Call bloc*ing 0t is the non-availability of any trun& or call propagationpath.
Busy hour or +ea* busy hour 0t is the 78-min interval in which thetra9c or the number of call atte$!ts is the highest in a day. 7t usuallyvaries fro$ day to day or over a nu$%er of days.
Time$consistent busy hour0t is the one hour period starting at thesame time each day for 5hich the average trac volu$e or thenu$%er of call atte$!ts is the highest over the days underconsideration.
Call com+letion rate 0t is the ratio of the number of successful callsto the number of call atte$!ts. 7t can %e re!resented in !ercentage.
Busy hour call attem+ts 0t is the number of call attempts in thebusy hour and it decides the net5or ca!acity.
Average %usy hour calls 3co$!leted ; usy hour call atte$!ts L callco$!letion rate
Busy hour calling rate 0t is the average number of calls originated bya subscriber during the %usy hour or the call intensity !er trac !athduring the %usy hour.
ay to busy hour trafc ratio 0t is the ratio of busy hour calling rateto the average calling rate for the day. 7t indicates ho5 $uch of the
+o$e de(nitions
ContDd+
o$e de(nitions
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
47/59
Oxford University Press 2014. All rights
Cont d Centum call second (CCS) 0t represents the call:time product and is a
tra9c measurement unit. 1 CC+ is one call for a duration of 100 s or 100
calls for 1 s duration each or any other co$%ination. Other $easures arecall seconds 3C+ and call $inutes 3C-.
verage call arrival rate 0t is the average number of calls that arriveduring the speci1ed ti$e duration.
verage call holding time 0t is the average duration of calls that arise
within the speci1ed ti$e duration or the average duration of occu!ancyof a trac !ath %y a call.
,rlang 0t is the unit of tra9c that represents the total use of onechannel or one call per hour that lasts for one hour.
Set$u+ time 0t is the time re!uired to allocate a trun& (or trun&ed radio)channel.
Bloc*ed call or lost call 0t is the call that cannot be completed due tolac& of channels.
+o$e de(nitions
rac Characteri,ation
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
48/59
Oxford University Press 2014. All rights
rac intensity $ore co$$only called the tra9c, is de1ned asthe average number of calls in !rogress. Although this is adi$ensionless #uantity the unit of trac has %een given ana$e'erlang 3a%%reviated as :.
7n a grou! of channels the average nu$%er of calls in !rogressde!ends on %oth the nu$%er of calls that arrive and theirduration. he duration of a call is often called its holding time .
he trac carried %y a grou! of truns is given %y
Where is the tra9c in erlangs, c is the average number of callarrivals during time / , and h is the average call holding time.
rac Characteri,ation
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
49/59
Oxford University Press 2014. All rights
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
50/59
Oxford University Press 2014. All rights
When all the channels %eco$e occu!ied the syste$ cannotacce!t further calls. his state is no5n as congestion .
/he arrival of a new call can then %e handled %y either of thefollo5ing t5o $ethods8
3a loced 3for a lost call syste$ %ased on circuit s5itching
3% Mueued 3for a delayed syste$ %ased on $essage or!acet s5itching
rac carried ; rac o&ered ) rac lost
+ervice
he !ro!ortion of calls lost or delayed due to congestion is
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
51/59
Oxford University Press 2014. All rights
he !ro!ortion of calls lost or delayed due to congestion isused to $easure the service #uality called the grade ofservice (;
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
52/59
Oxford University Press 2014. All rights
A si$!le $athe$atical $odel is %ased on the follo5ing
assu$!tions8 Pure chance trac))7f the trac is !ure chance all
call arrivals and call ter$inations are inde!endentrando$ events therefore so$eti$es calledmemoryless tra9c . A co$$only used $odel forrando$ $utually inde!endent $essage 3here callarrivals is the >oisson process .
+tatistical e#uili%riu$))According to the statisticale#uili%riu$ assu$!tion the generation of trac is
a stationary rando$ !rocessF that is the!ro%a%ilities do not change during the !eriod %eingconsidered. Conse#uently the $ean nu$%er ofcalls in !rogress re$ains constant.
rac
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
53/59
-arov $odel for a nu$%er of occu!ied channels
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
54/59
Oxford University Press 2014. All rights
>("), > (@), A, > ( N ) are the state probabilities .>8,", >",@,and so on are the !ro%a%ilities of a state incre$ent.
!in a net5or 5it ? channels
:rlang "or$ula
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
55/59
Oxford University Press 2014. All rights
:rlang deter$ined the @O+ 3i.e. the loss
!ro%a%ility of a lost call syste$ having Ntruns 5hen the o&ered trac is . /hesolution5formula was obtained on the basis ofthe following assu$!tions.8
Pure chance trac +tatistical e#uili%riu$
"ull availa%ility
/oss of calls encountering congestion
he for$ula is
:rlang "or$ula
:rlang C "or$ula
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
56/59
Oxford University Press 2014. All rights
7n an :rlang C tele!hone syste$ N channelsare available. New calls are assigned a channeluntil all channels are full. When all the channelsare occu!ied a ne5 call is #ueued until it can%e served. his is in contrast to an :rlang syste$ in 5hich ne5 calls are %loced.
he assu$!tions $ade here are the sa$e as inan :rlang syste$ exce!t the fourth one.
he for$ula is
:rlang C "or$ula
!ec ru$ e c ency o ce u ar
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
57/59
Oxford University Press 2014. All rights
/et
& % number of channels per cell
N % cluster size Bchannel % total bandwidth for the cellular net
Bsignal % occupied bandwidth per channel
hen Bchannel % &NBsignal
he s!ectru$ eciency +C of a cellular net can be de1ned as the
carried tra9c per cell c, ex!ressed in erlangs divided %y the%and5idth of the total syste$ Bchannel and the area of the cell+u. c is mostly computed from the Crlang 3 formula, with ce!ual to the atte$!ted trac $ulti!lied %y the !ro%a%ility ofsuccess 3; 1 E %locing !ro%a%ility. +!ectru$ eciency isex!ressed in erlang=-,=
!ec ru$ e c ency o ce u arsyste$s
/ocation $anage$ent
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
58/59
Oxford University Press 2014. All rights
he study of location $anage$ent ai$s at tracing asu%scri%er 35ith an active $o%ile unit on $ove andat reducing the overhead incurred in locating thatsu%scri%er in a cellular environ$ent though he=she$oves continuously fro$ cell to cell. Actually$o%ility $anage$ent in cellular syste$s consists of
t5o co$!onents8 handover $anage$ent
location $anage$ent.
/ocation $anage$ent
/ocation $anage$ent
-
7/24/2019 UPENA DALAL 002 542 33 Powerpoint-slidesChapter 2
59/59
7n literature location u!date sche$es are classi(ed into t5o $aingrou!s8
'tatic or global scheme /ocation u!date is triggered %ased on theto!ology of the net5or.
Dynamic or local scheme A $o%ile sends a location u!date
$essage according to the ti$e ela!sed 3ti$e)%ased $ethod thenu$%er of cells visited 3$ove$ent)%ased $ethod or the distance inter$s of cells travelled 3distance)%ased $ethod.
he follo5ing are a fe5 ter$s related to location $anage$ent8
Centre cell 0t is the cell where the last location update occurred. -esiding area 0t is the area in which the mobile unit can be located.
.olling cycle 0t is the process performed by the networ& when a callarrives at a mobile terminal.he net5or sends a !olling signal tothe target cell in the residing area and 5aits for the res!onse.
/ocation $anage$ent