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    WCDMA Radio Network Capacity Planning

    Huawei Technologies Co., Ltd.

    All rights reserved

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    Revision Record

    Date Version Change description Author

    1-07-2007 1A Victor Toledo

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    Table of Contents

    1 Traffic Model........................................................................................................ 9

    Service overview............................................................................................ 9

    QoS type ..................................................................................................... 11

    Traffic Model................................................................................................ 12

    CS Traffic Model......................................................................................... 13

    PS Traffic Model .......................................................................................... 14

    2 Uplink Capacity Analysis ................................................................................ 20

    Uplink Interference Analysis- Uplink Interference Composition.................... 24

    Uplink Interference Analysis- Uplink Load Factor ........................................ 23

    3 Downlink Capacity Analysis ............................................................................ 26

    Downlink Interference Analysis.................................................................... 29

    4 Multi-service capacity estimation procedure ................................................. 30

    Network capacity restriction factors ............................................................. 30

    Downlink Channel code resources .............................................................. 32

    Channel Element ........................................................................................ 34

    Iub Interface Capacity ................................................................................. 36

    Typical capacity design methods-Erlang B formula ..................................... 37

    Typical capacity design methods- Equivalent Erlangs ................................. 41

    Typical capacity design methods- Campbells theorem............................... 42

    5 Network estimation procedure ........................................................................ 45

    6 Capacity enhancement technologies.............................................................. 46

    Transmission Diversity................................................................................. 46

    Sectorization ................................................................................................ 48

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    Objectives

    Upon completion of this module, you will be able to:

    Grasp the parameters of 3G traffic model

    Understand the factors that restrict the WCDMA network capacity

    Understand the methods and procedures of estimating multi-service

    capacity

    Understand the key technologies for enhancing network capacity

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    Foreword

    WCDMA is a self-interference system

    WCDMA system capacity is closely related to coverage

    WCDMA network capacity has the soft capacity feature

    The capacity planning of the WCDMA network is performed under certain

    traffic models

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    1 Traffic Model

    Service Overview

    The WCDMA system supports multiple services

    Variable-rate services (e.g. AMR voice)

    Combined services (e.g. CS & PS)

    High-speed data packet services (384k service)

    Asymmetrical services (e.g. stream service )

    Large-capacity and flexible service bearing

    The WCDMA system provides the users with flexible and diversified services, whichis an important characteristic of WCDMA. In different propagation environment, the

    WCDMA system requires reaching different target transmission rate values, e.g., in high-

    speed motion, the rate is up to 144 kbps; in case of walking, the rate is up to 384 kbps,

    and the rate in indoor environments is up to 2 Mbps. The WCDMA system supports the

    variable-rate service, hybrid service, high-speed data packet service (multimedia);

    supports uplink/downlink rate-asymmetrical services (Internet access); considers the

    future service development requirements, and provides sufficient capacity and data

    bearing capability of flexible rate matching methods. The QoS of the WCDMA service is

    described by data rate, bit error rate (BER), transmission delay, and delay jitters.

    Different services and service composition proportions affect the WCDMA performance

    significantly. Therefore, the WCDMA network planning analysis should be based on the

    prerequisite of a certain traffic model estimate.

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    QoS Type

    Table I.- Services and quality of service.

    For the session-type service, requirement on end-to-end delay is strict. For example,

    for the voice service, the delay is required to be smaller than 150ms, and must not

    exceed 400ms; otherwise, it will be difficult to understand the voice. The session-type

    services are typically carried by the CS domain. For the session-type services, the

    system can perform no queue processing for the calls. In this case, we can use the

    Erlang B formula or the extended Erlang B formula to calculate.

    Compared with the session-type service, the stream-type service imposes low

    requirement on the end-to-end delay. Generally, the stream-type service tolerates the

    call waiting to a greater extent, and can provide the call queue mechanism. In this case,

    we can use the Erlang C formula to calculate the blocking probability of this type of users

    (defined as the probability of the call waiting for a specified time).

    Interaction-type service refers to the service through which the user requests data

    from the server. The service is described with the terminal users request response

    pattern. Therefore, round-trip delay is the most important index of this service type. The

    interaction-type services are typically carried on the CS domain. The background-service

    tolerates delay to the greatest extent, and can tolerate the delay of a magnitude of an

    hour. Due to such great delay tolerance, the system can save such requests in the busy

    hour, and respond when the channel becomes idle; meanwhile, for such services, once a

    request with higher QoS comes in, the processing can be stopped at any time. The

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    system decides startup and termination at any time, the above formulasErlang B

    formula and Erlang C formula are not applicable. Generally, according to the difference

    between the maximum number of channels and the busy-hour average occupied

    channels, we can calculate the traffic of the background-type service. The users of

    traffic-type services also tolerate the call waiting to some extent. The system provides aqueue mechanism, and uses the Erlang C formula to calculate the blocking rate.

    Objectives of Setting Up Traffic Model

    In order to determine the system configuration, we need to determine the

    capacity of the air interface first.

    In the data service, different transmission model will generate different

    system capacities.

    We need to set up an expected data transmission model of the customer

    so that we can plan the network properly.

    In order to set up a right model, the operator should provide some statistic

    data as reference.

    The system has many key performance indicators, e.g., coverage, spectrum

    efficiency, which are closely related to the type of service carried by the system.

    Therefore, in order to predict the performance of the WCDMA system in carrying a

    certain type of service, we must know the service features. Service features are

    represented by the traffic model.

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    Traffic Model

    Traffic model is a means of researching the capacity features of each

    service type and the QoS expected by the users who are using the service fromperspective of data transmission.

    In the data application, the user behaviour research mainly forecasts the

    service types available from the 3G, the number of users of each service type,

    frequency of using the service, and the distribution of users in different regions.

    Contents of a traffic model

    The contents of a traffic model consist of service patterns and user behaviours.

    Service pattern refers to the service features, and user behaviour refers to the conduct of

    people in using the service. In the actual application, service pattern is closely related to,

    and sometimes is no strictly different from, the traffic measurement model.

    Figure 1.- The contents of the traffic model.

    By determining the service pattern and the user behaviour parameters, we

    determine the traffic models of various services in the network. By calculating the hybrid

    services of multiple traffic models, we determine the network system configuration.

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    Typical Service Features Description

    Typical service features include the following feature parameters:

    User type (indoor ,outdoor, vehicle)Users average moving speed

    Service Type

    Uplink and downlink service rates

    Spreading factor

    Time delay requirements of the service

    QoS requirements of the service

    For each service, since the channel structure and demodulation method are different,

    the required uplink rate is different from the required downlink rate even for the same

    service type and the same data rate. For a typical service, we first need to identify

    whether it is uplink or downlink rate. A typical service can be described by the following

    parameters:

    (1) User type (indoor users, users inside a vehicle, outdoor users)

    (2) Users average moving speed (km/h)

    (3) Voice, real-time data, non real time data

    (4) Uplink and downlink service rates (kbps)

    (5) Spread factor (SF)

    (6) Signal delay requirement of the service (ms) The above parameters

    ultimately determine the QoS requirements of the service.

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    CS traffic model

    Voice service is a typical CS services. Voice data arrival conforms to the

    Poisson distribution. Its time interval conforms to the exponent distribution. Key parameters of the model:

    Penetration rate

    BHCA Mean busy-hour call attempts

    Mean call duration (s)

    Activation factor

    Mean rate of service (kbps)

    (Erl)For CS service, mean busy-hour traffic (Erlang) per user = BHCA * mean call

    duration /3600 (Erl)

    (kbps)Mean busy-hour throughput per user = BHCA * mean call duration * activation

    factor * mean rate of service (kbps)

    In the actual application, service pattern is closely related to, and sometimes is no

    strictly different from, the traffic measurement model.

    CS Traffic Model Parameters

    Mean busy-hour traffic (Erlang) per user = BHCA * mean call duration

    /3600

    Mean busy hour throughput per user (kbit) (G) = BHCA * mean call

    duration * activation factor * mean rate

    Mean busy hour throughput per user (bps) (H) = mean busy hour

    throughput per user * 1000/3600

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    PS traffic model

    The most frequently used model is the packet service session process

    model described in ETSI UMTS30.03.

    Figure 2.- Packet service session.

    Figure 3.- Packet session description.

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    PS Traffic Model Parameters

    Figure 4.- Parameters used in the PS traffic model.

    The service pattern-related parameters in the traffic model include: these

    parameters commonly determine the pattern of one session.

    We identify the service types through the different values of the parameters.

    Packet Call Num/Session: Takes on the geometric random distribution

    Reading Time (sec): Takes on the geographic random distribution

    Packet Num/Packet Call: Takes on the geographic random distribution

    Packet size: Takes on the Pareto random distribution

    When using the parameters, the average values will apply.

    Parameter Determining

    The basic parameters in the traffic model are determined in the following

    ways:

    Obtain numerous basic parameter sample data from the existing

    network.

    Obtain the probability distribution of the parameters through

    processing of the sample data.

    Take the distribution most proximate to the standard probability as

    the corresponding parameter distribution through comparison with the

    standard distribution function.

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    We have determined the traffic model parameters. The linchpin is to determine such

    parameter values. The parameter value varies between different services.

    ParetoGeneral standard probability distributions include: logarithmic normal distribution,

    Pareto distribution, geometrical distribution, and negative exponent distribution.

    Typical Bearer Rate (kbps)

    Bearer rate is variable in the actual transmission process.

    BLER:

    In the PS service, when calculating the data transmission time, the

    retransmission caused by erroneous blocks should be considered.

    Suppose the data volume of service source is N, the air interface block

    error rate is BLER, the total required data volume to be transmitted via the

    air interface is:

    During the planning, according to the actual situation, we select the typical value of

    the bear rate. It will affect the activation factor, but will not affect the correctness of the

    planning result.

    Block error rate belongs to QoS. The service control mechanism will retransmit the

    erroneous blocks. This will increase the traffic to be transmitted.

    PS User Behavior Parameters

    Figure 5.- User behavior parameters for PS.

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    The country, region, life custom and economic level will affect the service

    distribution. In the planning, we divide the users into high-end users, mid-end users and

    low-end users, and believe that the BHSA and penetration rate are different between

    different types of user groups. Currently, we can only use the existing analysis to make

    prediction. In the future, the progress of the construction of the WCDMA pilot system will

    provide us with reference.

    Penetration Rate

    The percentage of the users that activates this service to all the

    users registered in the network.

    BHSA

    The times of single-user busy hour sessions of this service

    User Distribution (High, Medium, Low end)

    The users are divided into high-end, mid-end and low-end users.

    Different operators and different application situations will have different

    user distributions.

    PS Traffic Model Parameters

    Session traffic volume Byte Average traffic of single session of the

    service

    Data transmission time (s) The time in a single session of service for

    purpose of transmitting data.

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    Holding Time s Average duration of a single session of service

    Active factor:

    The weight of the time of service full-rate transmission among the

    duration of a single session.

    Busy hour throughput per user (Kb):

    PS throughput equivalent Erlang formula (Erlang)

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    2 Uplink capacity analysis

    Uplink Interference AnalysisUplink Interference Composition

    Basic Principles

    In the WCDMA system, all the cells share the same frequency, which is

    beneficial to improve the system capacity. However, co-frequency multiplexing

    causes interference between users. This multi-access interference restricts the

    capacity. The radio system capacity is decided by uplink and downlink. When

    planning the capacity, we must analyze from both uplink and downlink

    perspectives.

    Interference is the main factor that decides the system performance of the cellular

    system. The interference in a cellular system consists of two parts: co-frequency and

    adjacent frequency interference. All users in the WCDMA system use the same band. All

    the users are different by modulating the respective signal to the code sequences thatare mutually orthogonal. Therefore, the receiving signal is the sum of all user signals and

    the channel noise.

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    Receiver noise floor PN

    K Boltzmann constant, 1.38

    T Kelvin temperature, normal temperature: 290 K

    W Signal bandwidth, WCDMA signal bandwidth 3.84MHz

    10lg(KTW) = -108dBm/3.84MHz

    NF = 3dB (typical value of macro cell BTS)

    IOwn Interference from users of this cell

    Interference that every user must overcome:

    is the receiving power of the user j , is active factor

    Under the ideal power control :

    Hence :

    The interference from users of this cell is the sum of power of all the

    users arriving at the receiver:

    :Interference from users of adjacent cell

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    The interference from users of adjacent cell is difficult to analyze

    theoretically, because it is related to user distribution, cell layout, and

    antenna direction diagram.

    Adjacent cell interference factor

    When the users are distributed evenly

    For omni cell, the typical value of adjacent cell interference

    factor is 0.55

    For the 3-sector directional cell, the typical value of adjacent

    cell interference factor is 0.65

    Uplink Interference Analysis

    Define

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    Uplink Interference AnalysisUplink Load Factor

    Define the uplink load factor

    When the load factor is 1, is infinite, and the corresponding capacity is called

    threshold capacity.

    Under the above assumption, the threshold capacity is approx 96 users.

    Uplink Interference AnalysisLoad Factor and Interference

    According to the above mentioned relationship, the noise will rise:

    Suppose that:

    All the users are 12.2 kbps voice users,the demodulation threshold Eb/No = 5dB

    Voice activation factor vj = 0.67Adjacent cell

    interference factor i = 0.55

    Figure 6.- Total Interference calculation.

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    Figure 7.- Noise raise against Load factor.

    Uplink Interference AnalysisLimitation of the Current Method

    The above mentioned theoretic analysis uses the following simplifying

    explicitly or implicitly:

    No consideration of the influence of soft handover

    The users in the soft handover state generates the

    interference which is slightly less than that generated by ordinary

    users.No consideration of the influence of AMRC and hybrid service

    AMRC reduces the voice service rate of some users, and

    makes them generate less interference, and make the system

    support more users. (But call quality of such users will be

    deteriorated)

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    Different services have different data rates and demodulation

    thresholds. So, we should use the previous methods for analysis,

    but it will complicate the calculation process.

    Since the time-variable feature of the mobile transmission

    environment, the demodulation threshold even for the same service

    is time-variable.

    Ideal power control assumption

    The power control commands of the actual system have

    certain error codes so that the power control process is not ideal,

    and reduces the system capacity

    Assume that the users are distributed evenly, and the adjacent cell

    interference is constant.

    Considering the above factors, the system simulation is a more

    accurate method:

    Static simulation: Monte Carlo method

    Dynamic simulation

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    3 Downlink Capacity Analysis

    Downlink Interference AnalysisDownlink Interference Composition

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    Suppose the power control is desired, we obtain

    Then

    Because

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    Then

    Resolve PT to obtain

    where ij is the adjacent cell interference factor of the user,

    defined as:

    According to the above analysis, we can define the downlink load factor:

    When the downlink load factor is 100%, the transmitting power of the BTS

    is infinite, and the corresponding capacity is called threshold capacity.

    As different from the theoretic calculation of uplink capacity, and in

    the downlink capacity formula are variable related to user position. Namely, the

    downlink capacity is related to the spatial distribution of the users, and can only be

    determined through system simulation.

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    Downlink Interference AnalysisSimulation Result

    Figure 8.- Result simulation for downlink interference analysis.

    Downlink Interference AnalysisSimulation Result Analysis

    When the transmitting power of the BTS is 43dBm (20W), the supported

    maximum number of users is approx 114.

    In order to ensure system stability, we do not allow the mean transmitting

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    power of the BTS to be more than 80% of the maximum transmitting power,

    namely, 42dBm. This way, the supported number of users is 111.

    4 Multi-service capacity estimation

    Network capacity restriction factors

    The WCDMA network capacity restriction factors in the radio network part

    include the following:

    Uplink interference

    Downlink power

    Downlink channel code resources (OVSF)

    Channel element (CE)

    Iub interface transmission resources

    Uplink interference

    If the uplink interference of the BTS reaches a certain extent, the terminal will be

    impossible to meet the requirements of demodulation quality through improving the

    transmitting power, and the terminal will be impossible for access or service.

    Downlink power

    When the downlink transmitting power of the BTS reaches the load threshold, no

    redundant power is available for allocation. This will make the terminal impossible for

    access or service.

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    Downlink channel code resources

    In the downlink direction, scrambles are used for identifying the cells, while the

    channel codes are used for identifying the channels. The WCDMA system uses the

    orthogonal variable spread factor (OVSF) code sequence in a tree distribution. The

    actually usable code sequence set is made up of the code words of SF=4~128.

    Channel processing unit

    In view of cost, the Channel element will be configured to full capacity. In this case,

    the circumstance may occur that no channel units are available for allocation.

    Iub interface capacity

    The Iub interface currently still uses the E1 link as physical media, which may a

    bottleneck to the radio network capacity.

    Downlink Transmit Power

    The downlinktransmit power has two parts: one part is used for common

    channel, and the other part for dedicated (traffic) channel.

    The transmit power is allocated by the cell to each user varies with service

    demodulation threshold, propagation path loss and the interference received by

    the user

    The downlink transmit power of the cell is shared by all the users in the cell

    We generally use the simulation method to analyze the downlink

    interference.

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    Figure 9.- UE number against downlink NodeB power.

    The transmitting power allocated by the cell to each user varies with service

    demodulation threshold, propagation path loss and the interference received by the user.

    The propagation path loss is related to the users position relative to this cell. The users

    position relative to the adjacent cell BTS and this cells BTS, and the transmitting power

    of this cells BTS and the adjacent cell BTS decide the interference received.

    The downlink transmitting power of the cell is shared by all the users in the cell.

    When the maximum transmitting power among the downlink transmitting powers that

    arrive at the BTS reaches a certain threshold, the new users will be impossible to access.

    Therefore, we can define the ratio of the downlink power of cell to the maximum

    transmitting power of the BTS as the downlink load of the cell.

    Due to the complexity of the downlink capacity analysis, we generally use the

    emulation method to analyze it.

    Downlink Channel Code Resources

    The WCDMA network use the codes whose SF is 4~512. The smaller the

    SF is, the higher the supported data rate will be.

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    In the code tree, the allocable codes should meet the following conditions:

    No codes on the path from this code to the root node of code tree

    are allocated

    No codes in the sub-tree whose root node is this code are allocated

    Try to reserve the code words whose SF is small, so as to improve

    the utilization efficiency.

    Figure 10.- OVSF codes.

    The generation of the channel code uses the Hadamard matrix. The downlink

    OVSF codes are like a code tree, and the SF is spread factor.

    In the process of code allocation, it is appropriate to try to reserve the code wordswhose SF is small for purpose of improving utilization, because the code words whose

    SF is small can support higher data rates and can be split into code words whose SF is

    larger.

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    Downlink Channel Code Resources

    Figure 11.-Example of code resources allocation.

    Channel Element (CE)

    The Channel element the quantitative data that measures the resources

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    logically occupied for service processing.

    The resource occupied by the service processing is mainly related to the

    spreading factor of this service. The smaller the SF is, the greater the data traffic

    will be, and more resources will be occupied.

    The SF of typical services are:

    AMR12.2kbps SF=128

    CS64kbps SF=32

    PS64kbps SF=32

    PS144kbps SF=16

    PS384kbps SF=8

    Due the technical features of the WCDMA, compared with the 2G systems such as

    GSM, the RNC and Node B present enormous capacity. For example, for the fully

    configured NodeB, the number of channels of one carrier is 128, which is more than 10

    times of that supported by a TRX of GSM. One uplink processing unit of our NODEB 1.3has the processing capacity of 128 12.2kbps voice channels. One 3*1 WCDMA BTS is

    equivalent to the GSM sites of one S10/10/10. At the beginning of the WCDMA network

    construction, so high a capacity is not a necessity, and only a portion of it is required

    (e.g., 10%). If we offer the quotation based on the maximum hardware channel capacity

    of TRX like the GSM, it will make the operators incur enormous cost and mismatch the

    user quantity. To reduce the initial investment, the operator is bound to pay the

    equipment price to the supplier according to the actual use capacity, and, subsequently,

    pay more equipment prices with the increase of the user quantity. This way, the operatorwill reduce the initial investment and mitigate the risks.

    If we define the resources required for processing AMR 12.2kbps services

    as a channel processing unit, the number of channel processing units occupied by

    other services is:

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    AMR12.2kbps 1

    CS64kbps 4

    CS144kbps 8

    CS384kbps 16

    PS64kbps 4

    PS144kbps 8

    PS384kbps 16

    The relative proportion of the services with different SFs can be calculated in the

    following formula (related to version):

    Num_SF128/128 + Num_SF64/64 + Num_SF32/32 + Num_SF16/16 + Num_SF8/8=

    1

    The channel unit of service can represent the channel resources occupied when

    establishing the connection. It will be used when calculating the hybrid service capacity

    of the cell. It is used for calculating the number of required channel boards and thenumber of channel processing units configured on the board.

    Iub Interface Capacity

    The contents transmitted on the Iub interface include:

    The user data encapsulated in the AAL2 format (common channel

    and dedicated channel)

    Signaling data encapsulated in the AAL5 formatBTS operation & maintenance data

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    Figure 12.- Protocol stack for Iub interface.

    When calculating the Iub interface traffic, it is necessary to calculate the throughput

    rate of each service type. According to the planned user quantity, we obtain the total

    traffic of the Iub interface, and estimate out the transmission configuration of the Iub

    interface.

    Factors to be considered when estimating the interface capacity:

    Frame coding efficiency. Through segmentation and encapsulationof the application data at each layer, the data quantity at the bottom layer

    will be increased to different extents compared with the application data at

    the upper layers.

    Traffic. More users will generate more data traffic.

    Maintenance efficiency. Certain bandwidth is required in the

    background maintenance for BTS data transmission.

    Typical capacity design methods

    Erlang-B Formula

    The Erlang-B formula is used for estimating the peak traffic that meets

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    certain call loss rate when the average traffic (Erlang) is given.

    The Erlang-B formula is only used for

    Circuit switched services

    Single service

    The WCDMA system provides CS and PS domain multi-services which are

    determined by the radio network planning.

    Figure 13.- Variation of demand with time.

    In the CS domain, we use the Erlang quantity to express the traffic volume. Assumethe traffic arrival takes on a Poisson distribution.

    The prerequisite of the Erlang-B is the requests of resources take on a

    Poisson distribution, namely, its variance is equal to its mean value.

    If, when a service establishes a link, the service requires the resources

    which are more than the unit resources, the resource request is no longer equal to

    its mean value, and the Erlang-B formula is not applicable in this case.

    Comparison of multi-service capacity estimation methods :

    Post Erlang-B

    Equivalent Erlangs

    Campbells Theorem

    For the unitary CS services, the resources are estimated in unit resources, e.g., a

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    64kbps timeslot.

    Post Erlang-B

    By summing up the capacities required for different services, we obtain the

    capacities required for the combined services.

    No consideration of the resource efficiency of different services

    Figure 14.- Post Erlang B (-) resources calculation.

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    Method of using the Post Erlang-B: First, calculate the channel resources required

    according to the traffic volume of each service, then sum up the channel resources

    required for all services. This method is vulnerable to overestimation of the channel

    resources. We will understand this through the following example.

    Consider that two services share resources

    Service 1: 1 unit resource/connection.12 Erlang

    Service 2: 3 unit resources/connection.6 Erlang

    Calculate capacity required for each service

    Service 1: 12 Erlangs require 19 connections (19 unit resources),

    meeting the 2% blocking rate

    Service 2: 6 Erlangs require 12 connections (equivalent to the 36

    unit resources of service 1), meeting the 2% blocking rate

    Total 55 unit resources

    Consider that two services use the same resources

    Service 1: 1 unit resource/connection.12 Erlang

    Service 2: 1 unit resource/connection.6 Erlang

    Calculate capacity required for each service

    Service 1: 12 Erlangs require 19 connections, meeting the 2%

    blocking rateService 2: 6 Erlangs require 12 connections, meeting the 2%

    blocking rate

    Total 31 unit resources

    However, the reasonable results should be: 18 Erlangs require 26

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    connections for meeting the 2% blocking rate.

    As seen from the above example, two services with the same unit resources have

    18Erlangs in total. The actually required channel resources are 26 resources. However,

    according to the Post Erlang-B method, 31 resources are required. So this method

    obviously overestimates the required channel resources.

    Equivalent Erlangs

    By converting the bandwidth from one service to another service, combine

    different services and then calculate the required capacity.

    Selecting different services as the measurement benchmark will lead to

    different capacity requirements.

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    Figure 15.- Equivalent Erlang estimations.

    The equivalent Erlang method is to convert the service of two service with different

    unit channel resources to the total Erlangs of one of the services, then search the

    Erlang-B table to obtain the total channel resources required. In this method, if selecting

    different services as measurement benchmark, different channel resource requirements

    will result.

    Consider that two services share resources

    Service 1: 1 unit resource/connection.12 Erlang

    Service 2: 3 unit resources/connection.6 Erlang

    If using service 1 as measurement benchmark, the two services are

    equivalent to 30 Erlangs in total.

    30 Erlangs require 39 connections (39 unit resources), meeting the2% blocking rate

    If using service 2 as measurement benchmark, the two services are

    equivalent to 10 Erlangs in total.

    10 Erlangs require 17 connections (equivalent to 51 unit resources

    of service 1), meeting the 2% blocking rate

    As seen from the above example, if the calculation uses service 1 as benchmark,

    the result is 39 channel resources; if the calculation uses service 2 as benchmark, the

    result is 51 channel resources required. The difference between the two results is 12

    channel resources.

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    Campbells Theorem (I)

    The Campbell theorem introduces the mean value and variance, so that the multi-

    service capacity calculation result is more proximate to the actual value compared with

    the foregoing two methods. Here, the amplitude ai represents the channel resources

    required for a single connection. Generally, we specify the amplitude of the Voice12.2k

    service as 1, hence:

    Amplitude of other service relative to the Voice12.2k service = (service bit rate *

    Eb/No) / (Voice12.2k service bit rate * Eb/No of Voice service)

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    For the same GoS, different services require different capacities. According to the

    calculation method of the Campbell theorem, as calculated respectively on the

    benchmark of service 1 and service 2, the obtained two results will be only 2 channel

    resources different from each other.

    The comparison of the different capacity method

    Post Erlang-B

    Service 1 (1 unit resource/connection, 12Erl) and service 2 (3 unit

    resources / connection, 6Erl), requiring 55 unit resources in total

    Equivalent Erlangs

    Calculated according to benchmark of service 1 (1 unitresource/connection, 12Erl), a total of 39 unit resources are required

    Calculated according to benchmark of service 2 (3 unit

    resources/connection, 6Erl), a total of 51 unit resources are required

    Campbells Theorem

    In the same conditions, 47~49 unit resources are required in total.

    As illustrated for the three methods above, we assume that the conditions are

    identical, calculation result through the Post Erlang-B method is 55 channel resources

    required; the calculation result through the Erlang method is 39~51 channel resources

    required; and the calculation result through the Campbell method is 47~49 channel

    resources required. The calculation result through the Campbell theorem is more

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    proximate to the actual value compared with the other two methods.

    5 Network estimation procedure

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    Figure 16.- Network estimation flow.

    6 Capacity Enhancement Technologies

    Transmission Diversity

    TxDiv

    Txdiv has two types in WCDMA system:

    Open loop TxDiv

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    Closed loop TxDiv

    TxDiv could improve downlink capacity

    Need additional amplifier

    Need equipment support

    Dont need additional antenna

    Figure 17.- Transmission Diversity feature.

    Gain of TxDiv

    The gain is obtained due to additional amplifier

    Pure gain is obtained due to TxDiv technology

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    Figure 18.- Downlink capacity with Tx diversity.

    Gain of TxDiv

    The gain is obtained due to additional amplifier

    Pure gain is obtained due to TxDiv technology

    TxDiv should reduce downlink power

    TxDiv should reduce requirement of Eb/N0

    Usually ,closed loop TxDiv would obtain more gain than open loop TxDiv.

    Figure 19.- Comparison of target Tx Eb/No.

    Transmission diversity can enhance the downlink capacity and coverage.

    Conclusion of capacity enhancement of transmission diversity

    STTD mode: Capacity increase of 17 ~ 24%

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    TxAA(1) mode: Capacity increase of 16 ~ 23%

    TxAA(2) mode: Capacity increase of 31 ~ 37%

    For the single-antenna transmitting, transmitting diversity can obtain extra

    gain to enhance the capacity and coverage.

    In the WCDMA system, transmitting diversity breaks down into two types:

    open loop transmitting diversity, and closed loop transmitting diversity. The latter

    is subdivided into two modes. Different transmitting diversity modes obtain

    different gains.

    Here the calculation of capacity and coverage of gain is similar to that of

    receiving diversity. The main affecting factor is the downlink capacity coverage

    and capacity.

    Sectorization

    In the dense urban areas and the normal urban areas with high traffic,

    increasing sectors of the BTS is a method of improving the capacity. 6-sectors BTS generally use the antenna whose horizontal lobe is 33

    The capacity of a 6-sector BTS is 1.67 times that of a 3-sector BTS

    The capacity of a 3-sector BTS is 2.77 times that of a omni- BTS

    When there are many sectors, e.g., 6 sectors, it is necessary to plan the

    mount height, azimuth angle and down tilt angle of the antenna carefully.

    In order to obtain higher capacity, the sector azimuth angle should be

    designed as mutually complementary to prevent blind area of coverage. For 3-

    sector and 6-sector circumstances, the azimuth angle can be planned with the

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    regular hexagon apex excitement method.

    The down tilt angle of the antenna should be designed properly to align

    the upper half power point of the antenna lobe with the cell edge.

    From perspective of the BTS capacity, when the cell radius is small, the

    capacity of a 3-sector BTS is 2.77 times that of an omnidirectional BTS, and the

    capacity of a 6-sector BTS is 1.67 times that of a 3-sector BTS.

    When the cell radius increases, the sectors will increase, and the sector

    antenna gain will be higher. For the uplink, the coverage performance will be

    better; for the downlink, the coupling loss will be less, and the downlink capacity

    will be higher.

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