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February2002 KYOTOJAPAN 2000GraduateCourseinDepartmentofAppliedMathematicsandPhysicsGraduateSchoolofInformatics,KyotoUniversity ShiroTSUCHIYAMA GuidanceProfessorMasaoFUKUSHIMAAssociateProfessorTetsuyaTAKINE PerformanceAnalysisofaDynamicChannelSwitchingSch

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Switching Scheme in IMT-2000

Guidance

Professor Masao FUKUSHIMA

Associate Professor Tetsuya TAKINE

Shiro TSUCHIYAMA

2000 Graduate Course

in

Department of Applied Mathematics and Physics

Graduate Scho ol of Informatics, Kyoto University

KYOTO UNIVERS ITY

FO

UKYOTON DED 1JAPAN897

February 2002

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Thenumb erofusers ofmobilecommunicationssystemshas increaseddramatically. Inparticu-

lar, mobile phones havethoroughly p enetrated people's dailylives. And then, various services

including video, voice, fax and data transmission are demanded. To meet these demands,

the implementation of an advanced mobile communications system is required. International

Telecommunication Union (ITU) is now formulating standards for International Mobile T-

elecommunication2000 (IMT-2000)that isthe nextgenerationmobilecommunication system.

Itmakesthefollowingservicespossible: hightransmissionsp eed,hightransmissionqualityand

the realization of global services accessible anywhere inthe world.

The dynamic channelswitching scheme inRadio Network Controller(RNC) is prop osed for

IMT 2000. It has two typ es of channels, i.e., dedicated channels and a common channel, for

datatransmission. Thededicatedchannelis allo catedtoone UserEquipment(UE)exclusively

and provides high-quality data transmission without either delay or data loss. On the other

hand, the common channel isshared by many UEs. These channelsare dynamically allo cated

toUEsbasedonthecontrolparameterssetinRadioResourcesController(RRC).Thedynamic

channelallocationrealizes economical and ecient use of these channels.

In this thesis, we propose an approximate model of the dynamic channelswitching system.

We describe the model by a continuous-time nite-state Markov chain, and then we apply

the ecient procedurecalled Replacement Process Approach tosolve the stationaryequations

of the Markov chain. Through numerical experiments, we examine quantitative p erformance

of the system, i.e., the frame dropping probability, the load of a dedicated channel and the

frequency of channel reallocation. Using those results, we can choose the control parameters

to realizethe demanded performance of the system.

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1 Intro duction 1

2 Wideband CDMA 2

2.1 UMTSarchitecture : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 2

2.2 Radio interfaceprotocol architecture : : : : : : : : : : : : : : : : : : : : : : : : 2

2.2.1 Overallprotocol structure : : : : : : : : : : : : : : : : : : : : : : : : : : 2

2.2.2 RLC/MAClayer : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 3

3 Dynamic channel switching scheme 5

4 Model description 6

4.1 Dynamicchannelswitching model : : : : : : : : : : : : : : : : : : : : : : : : : : 6

4.1.1 Model intro duction : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 6

4.1.2 Assumptions onarrivals and services : : : : : : : : : : : : : : : : : : : : 7

4.2 Approximate mo del : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 8

4.2.1 Model description : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 8

4.2.2 Mathematical description : : : : : : : : : : : : : : : : : : : : : : : : : : 9

5 Analysis 10

5.1 State set : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 10

5.2 State transitions: : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 10

5.3 Stationary equations : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 16

6 Numerical algorithm 19

7 Numerical results 24

7.1 Eciencyof the proposed numerical procedure : : : : : : : : : : : : : : : : : : : 24

7.2 Accuracy of approximate mo del : : : : : : : : : : : : : : : : : : : : : : : : : : : 25

7.3 Impact of upp er threshold : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 27

8 Conclusion 29

(4)

Thenumb erofusers ofmobilecommunicationssystemshas increaseddramatically. Inparticu-

lar, mobile phones havethoroughly p enetrated people's dailylives. And then, various services

including video, voice, fax and data transmission are demanded. Tomeet these demands, the

implementationof an advancedmobile communicationssystem is required.

InternationalTelecommunicationUnion(ITU)isnowformulatingstandardsforInternational

MobileTelecommunication2000(IMT-2000)thatisthenextgenerationmobilecommunication

system. It makes the following services p ossible: high transmission speed, high transmission

quality and the realization of global services accessible anywherein the world.

The dynamic channelswitching scheme inRadio Network Controller(RNC) is prop osed for

IMT 2000. It has two typesof channelsfor data transmission: some dedicated channels and a

common channel. The dedicated channelis allo catedtoone UserEquipment(UE) exclusively

and provides high quality data transmission without either delay or data loss. On the other

hand, the common channel is shared by some UEs. Furthermore, dynamic allocation of these

channels is performed based on the queue length, and it helps use radio resources eciently.

Thus,properallocation of channelsshouldbedone as inthe followingway.

The common channel shouldbe shared by as many UEs as p ossible. It helps accommo date

many UEs in the limited radio resources and keep many dedicated channels available. To

keep dedicated channels unused enables us to allocate them on demand. Furthermore, it has

an economical advantage, reducing the extra costs of using them. Thus, dedicated channels

should be allocated in the limited case in which UEs require high-sp eed data transmission

beyond the capacity of the common channel shared by many UEs. Of course, trac volume

being changed, they shouldbereallocateddynamically atan appropriatetime.

These controls (allocation and reallocation) are performed based on a decision of Radio

Resources Controller (RRC) in RNC.Note that the p erformance of these controls depends on

the control parameters set by RRC. Therefore, weshould determine these parameters in such

a way that the most ecientand economical use of radio resources and higherquality of data

transmission are provided. Thus, wepresent the performance analysis of the dynamic channel

switching scheme toobtain the appropriate control parametersin this thesis.

The rest of this thesis is organized as follows. Section 2 summarizes the radio interface

protocolarchitecturespeciedinIMT-2000. Section3describesthe dynamicchannelswitching

schemementionedabove,andinSection4,the mathematicalmodel oftheschemeispresented.

Section5providesanumericalsolutionmethodtowhichiterativealgorithmcalledReplacement

ProcessApproach(RPA)isapplied. Section6describesalgorithmstepstoexecutetheprop osed

method, and numerical results are presented in section 7. Finally, the thesis is concluded in

Section 8.

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2.1 UMTS architecture

To provideend users with the necessary service quality for multimedia communications, ex-

ible and high-bit-rate capabilities are required. Universal Mobile telecommunications System

(UMTS) is anew radio accessnetworkbased on5 MHzW-CDMA, and optimized for ecient

support of the next generation multimediaservices.

Figure 1 shows the general system architecture of UMTS outlined in [2]. It includes UEs,

UniversalTelecommunicationRadioAccess Network(UTRAN)and acorenetwork. Thefunc-

tional layering of the UMTS system into access and non-access stratum implies a functional

division b etween UTRAN and the core network;UTRAN handles allradio-specic pro cedure,

whereas the core network handlesthe service-sp ecic procedures.

Furthermore, the general architecture includes two general interfaces: The Iu interface b e-

tween UTRAN and the core network, and the radio interface (Uu) b etween UTRAN and the

UE. In Section2.2, wewill focus onthe radio interface in UMTS.

UE UTRAN Core Network

Iu Stratum Uu

Stratum

Relay

Access Stratum (AS) Non-Access Stratum (NAS) end AS

entity

end AS entity

RRC L2/L1 RRC

L2/L1

Figure 1: UMTS architecture.

2.2 Radio interface protocol architecture

2.2.1 Overall protocol structure

We rst present the simple structure of the radio interface protocol specied in [3], which is

layered into three protocol layers; the physical layer (Layer 1), the data link layer (Layer 2)

and the networklayer (Layer3). Figure 2shows itsarchitecture.

The physical layer oers information transfer services to Medium Access Control (MAC).

Theseservicesare providedattransp ortchannelswhichareeithercommon (i.e.,sharedamong

several users) or dedicated (i.e., allocated to a sp ecic user). These two typ es of channels

support multipleservices fairly,for example,real-time services suchasspeechand packetdata

services. Wewill focus on the dynamic allo cation of these channelsinSection 3.

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described in the gure. MAC oers information transfer services to RLC. These services are

providedatlogicalchannelswhichareeithercontrol channel(i.e.,transfer controlinformation)

or trac channel(i.e., transfer user data). Furthermore, MAC p erforms the dynamic channel

allocations mentioned above. These functions of MACand RLC resp onsible for ecient data

transmission are detailed in Section2.2.2.

ThenetworklayercontainsRRCwhichalsoplaysasignicantroleinprovidingecientdata

transmission. It oerscontrolservices toRLC, MACandthephysicallayer. Theseservices are

provided at controlService AssessPoints(SAPs) between RRCwith the lowerlayers.

PHY MAC

RLC RLC

RRC control

logical channel (traffic) logical channel

(control)

physical channel

Layer 3

Layer 2

Layer 2

Layer 1 control

SAP

transport channel (common,dedicated)

Figure 2: Radio interfaceprotocol architecture.

2.2.2 RLC/MAC layer

Wewill focus on the RLC/MAC layers, whichare resp onsible for ecientdata transfer.

The RLC layer is responsible for establishment and release of layer 2 connections. The

functions performed by the RLC include segmentation and assembly, error correction by re-

transmission,owcontrol,duplicatedetection andin-sequencedeliveryofhigherlayerProtocol

Data Units(PDUs)[5].

Figure3showsthesegmentationandtransformationofnetworklayerpacketdataunits. RLC

Service DataUnits (SDUs)are rst segmented intoRLC PDUs typicallycorrespondingtothe

physicallayertransp ortblo cks. EachRLCPDUcontainsasequencenumb erused forlow-level

fastAutomaticRepeat reQuest(ARQ).Therefore,RLCreceivercheckssequencenumber when

the PDUs are reassembled. If corrupted SDU is detected, retransmissions could be requested

in acknowledged data transfer mode, or it will be simply discarded in unacknowledged data

transfer mode. MACmostly provides the following service: mapping between logical channels

and transport channels, measurements of the system state, reporting the measurement results

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RLC SDU

RLC PDU

Transport block (MAC PDU)

RLC layer

MAC layer

Segmentation

Add a header

Add a header

Figure3: Segmentation and transformation of network layerpacketdata units.

toRRC,Reallocationofradio resources andowcontrol. Wepresentthese functionschieyin

view ofthe dynamicchannelswitching mechanism.

Logical channels are mapp ed into transport channels at MAC. Data delivered from RLC

through logical channels is deliveredto the physical layer through the transp ortchannel. The

transport channeliscomposedofthecommon transportchanneland dedicatedtransportchan-

nels. The common transp ort channel is shared bysome UEs, so that in-bandidentication of

the UEisneededwhenparticular UEis addressed. On the otherhand,eachdedicated channel

is provided toone UE exclusively.

MAC-c/sh

MAC-d

Logical channel

dedicated chanel common channel

Channel switching

Transport channel

RLC

MAC RRC

report control

RLC

Figure 4: UTRAN side MACarchitecture.

Figure4showsUTRANsideMACarchitecturerelatedwithhigherlayers. MACisconstruct-

ed from one MAC-c/sh (Common MAC) entity and some MAC-d (Dedicated MAC) entities

provided for each UE. MAC-c/sh controls access to the common transp ort channel. MAC-d

controlsaccesstodedicatedtransportchannels. MAC-dcanalsoswitchtransp ortchanneltyp e

based on the decision taken by RRC.While the common channelis used, MAC-d passes data

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received by MAC-dis delivered to the lower layer through either typ e of transport channels.

Wecan also see that MAC-c/shrelieves data (whichmostly consists of controlinformation as

paging one) from the higher layer directly and delivers them through the common transp ort

channels.

Moreover,MACmeasures the system stateof RLC and MACentities, and reports the mea-

surement result to RRC. If the value representing the system state is out of the range set by

RRC, RRC provides some control services for RLC or MAC. In this way, channel switching

mentionedaboveand ow controlcan b e p erformed. Detailsare found in[4].

3 Dynamic channel switching scheme

In this section, weintroduce the dynamic channelswitchingschemeproposed for the architec-

ture specied inthe preceding sectionand [1]. This schemeprovides control services (Channel

switching and Flow control)based on the Buer Occupancies(BOs) of transmissionbuers in

RLC and MACentities.

Figure5showsthesystem architecturewith dataowstodownlinks. UTRANisconstructed

from Node B (Base station) and RNC. As mentioned in the preceding section, RLC delivers

RLC PDUs to MAC through a logical channel and MAC delivers these PDUs to Layer 1

through eithertypeoftransport channels. PDUs thatbelongtoaparticular datatyp e(mainly

control information) are always delivered through the common transport channel. And others

are deliveredin the followingway.

TB

RC

channel type switching

TB TB

MAC multiplex

TB TB TB

flow control

ATM ATM

PHY node B

PHY MAC RLC TCP/IP UE

Air

RNC

common channel dedicated chennel UE

UE

TB:Transmission Buffer RC:Retransmission contorol

UTRAN

RLC

MAC logical

channel

transport channel

TB

1.5Mbps

64kbps 64kbps

respectively TB

RC

TB

RC

TB

RC

Figure5: System architecture.

MAC receives these PDUs from RLC together with information which tells BOs of RLC

transmission buer. The value of BOs is rep orted to RRC, and RRC decides which typ e of

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channelb eing used, the value higher than THu(Upperthreshold setby RRC) causes channel

switching to a dedicated transport channel only when it is available. On the other hand, a

dedicated transp ort channel b eing used, the value lower than THl (Lower threshold set by

RRC)causeschannelswitching tothe common transport channel. Asarule, allofthesePDUs

are to be deliveredthrough the common transp ortchannelat rst.

MACalsosupp ortsservice multiplexingof higherlayerPDUsintotransportblo cksdelivered

through common transp ort channel. They are served in a round-robin fashion, so that the

PDUs waiting for transmission are accumulated in MAC transmission buers. And then, the

value of BOs of these buers exceeding TH (Threshold set by RRC) causes the ow control.

Under the control, the data owfromthe connected RLCis limited.

Weshouldnotice thatthe valueof BOsof RLCtransmissionbuers increaseswhilethe ow

from RLC to MAC is being limited or retransmission service is b eing p erformed in RLC. In

this thesis, we will disregard the retransmission service.

Now,we presentthe purp ose of the dynamicchannelswitching scheme mentionedab ove. It

enables us to use radio resources eciently and economically and provides higher quality of

data transmission asin the followingway.

Thecommonchannelshouldb eallocatedtoasmanyUEsaspossible,sinceusingadedicated

channeltakesextra cost. A dedicated channel shouldbe allo catedtoa UEthat requests burst

transmissionbeyond the capacity ofthe common channel. Thesechannelallo cations enableus

touseradioresourcesecientlyandeconomically. Furthermore,thedynamicchannelswitching

at an appropriate time prevents us from troubles caused by packet loss and provides higher

quality of data transmission.

We should notice that the p erformance of these control services dep ends on the control

parameters (THu, THl and TH). And appropriate values of the parameters that provide the

most ecient use of radio resources and higher quality of data transmission have not been

standardizedyet. Thus,wepresenttheperformance analysis ofthe dynamicchannelswitching

scheme inview of these parameters inthis thesis.

4 Model description

In this section, weconsider the mathematical model of the dynamic channelswitching scheme

described inthe preceding section.

We rst presenta model that representsthe dynamic channelswitchingsystem under some

assumptions. Next weprovide an approximate model that is to b e analyzed in the sequel. In

this thesis, a frame denotes the data unit treatedin the system.

4.1 Dynamic channel switching model

4.1.1 Model intro duction

Figure 6 represents the model structure of the dynamic channelswitching system. Two stage

queues, comp osed of RLC and MAC queues, are provided in the gure. We note that MAC

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MACqueues is limited,since the numb er of dedicated channelsis xed.

Eachof RLC queues has a buer with capacity C

r

frames. Each of dedicated MAC queues

has a buer with capacity C

m

frames. The common MAC queue has as many buers with

capacity C

m

frames asRLC queues.

Frames in each stream arrive at their own RLC queue. If a dedicated channel is allo cated

to astream, frames inthe stream are deliveredto theirown buer of a dedicated MACqueue

from RLC queue. If the common channel is allocated to a stream, frames in the stream are

delivered toits own buer of the common MAC queue fromRLC queue.

Furthermore,dynamicchannelallocationsarep erformedasfollows. Allstreamsareallocated

to the common channel at rst. The channel typ e allocated to a stream is switched from the

commonchanneltoadedicatedchannelifthe RLCqueuelengthismorethanTHu,giventhat

an available dedicated channel exists. A channel switching from a dedicated channel to the

common channeloccurs ifthe RLCqueue lengthis lessthan THl.

Flow controlsare performedin the following way. If the queue length of the common MAC

queue exceeds TH, the ames owfrom the connected RLCqueue islimited.

THu THl

TH channel switch

servers

RLC queues

served in PS

flow control class 1 class 2

64kbps

64kbps 64kbps

dedicated MAC queue common MAC queue

Figure 6: Dynamic channelswitching model.

4.1.2 Assumptions on arrivals and services

Werst providesome assumptions onthe pro cesses ofarrivaland service times ineach queue.

A typical scenario for a fully utilized W-CDMA system includes a mixture of high-sp eed

packetdata users and low-rate voiceconnections. Thus, we considertwokinds of trac to b e

arrived(see Figure6). Theyare classiedintotwoclasses. Wethen assumethat the streamof

arrivalsto class j (j =1;2) followsa Poissonprocess withrate

j .

Letthe service time of aframe inadedicated MACbuer b eexp onentiallydistributed with

rate. WeassumethatframesincommonMACbuersareservedundertheprocessor-sharing

(11)

tob eexponentiallydistributedwith rate=N,whereN denotesthenumb erofactivecommon

MACbuers. Furthermore,when theowcontrolisnot performed,a frameinthe RLCqueue

departs from the queue before the next frame arrives, since the service time is less than the

interval of arrivals. Thus,the number of frames in a RLC queue increases onlywhen the ow

controlisp erformed. WethenassumethattheowfromaRLCqueuetotheconnectedcommon

MAC queue is stopped while the ow control being performed, and that a frame arrived at a

RLC queue are delivered to the connected common MACqueue onitsarrival.

It isanticipatedthat this model isto o complicatedtoanalyze. Thus,we provideanapprox-

imate mo del inthe following subsection.

4.2 Approximate model

4.2.1 Model description

Wepreviously stated that the numb er offrames ina RLCqueue increasesonly when the ow

controlisperformed. Thus,wesimplyregardthetwo-stagequeuesassingle-stagequeueswhose

capacity should be K =Cr+TH.

Now, we replace the model presented previously with the model shown in Figure 7. We

note that queues connected b etween RLC and MACare united in the approximate model. It

diersfromtheoriginalmodelastothelocationwherechannelswitchingisperformed,sincethe

channelsshowninFigure7aretob eswitchedinthefaceofservers. Butthe wholep erformance

of the model isexpected to be close to the original one. Thus, we will provide the analysis of

this mo del.

Inputs

Outputs Upper

Threshold

channel switch

servers

Transmission buffers capacity K

served in PS

class 1 class 2

Common channel Dedicated channel Lower

Threshold

Figure7: Approximate model.

Wenowconsidertwoclassesof arrivalpro cessesasshown inSection4.1, and xthe numb er

of class j streams to N

j

(j = 1;2). The number of buers is N

1 +N

2

. The capacity of each

Figure 1 shows the general system architecture of UMTS outlined in [2]. It includes UEs,
Figure 2: Radio interface protocol architecture.
Figure 3: Segmentation and transformation of network layer packet data units.
Figure 5 shows the system architecture with data ows to downlinks. UTRAN is constructed
+7

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