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The Cellular Concept
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Important Definitions
Mobile Station (MS): is the part of a mobile communication system
that changes its position as time passes. Cellular phones are a type of
mobile stations.
Base Station (BS): is the part of a mobile communication system that
is stationary (does not move). The base station communicates with all
mobile stations and takes a central position surrounded by mobile
stations. Cellular towers are a type of base stations. Full Duplex Systems: are communication systems in which
transmission between the mobile and base stations occurs in both
directions at the same time (transmit and receive at the same time) such
as cellular phone systems. The regular phone at your house is a type of
full duplex systems because you can talk and listen to other side talking
at the same time. Half Duplex Systems: are communication systems in which
transmission between the mobile and base stations occurs at different
times (transmit and receive at different times) such as pushtotalk
systems.
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Simplex Systems: are communication system in which transmission of
information occurs in one direction only such as a garage door opening
system. Forward Channel: is the communication channel used to transmit
information from the base station to the mobile station.
o Forward Control Channel (FCC): is the channel used by the base station
to inform mobile stations of a call directed to them, and to instruct mobile
stations of the voice channels they should use to send and receive
information.o Forward Voice Channel (FVC): is the channel used by the base station to
transmit the voice signal to the mobile station.
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Reverse Channel: is the communication channel used to transmit
information from the mobile station to the base station.Reverse Control Channel (RCC): is the channel used by the mobile
station to request from a cellular tower to initiate a phone call.
Reverse Voice Channel (RVC): is the channel used by the mobile
station to transmit the voice signal to the base station.
Multiple Access Techniques: are methods by which multiple mobile
stations in a communication system request that part of the limitedspectrum of the system be reserved for its communication and then
release the reserved spectrum once the communication is
completed.
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Cellular Telephone Systems
Achieve a large coverage area by using a simple, high powered transmitter.
Put BS on top of mountains or tall towers, so that it could provide
coverage for a large area.
So good coverage, but it was impossible to reuse those same frequencythroughout the system
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Cellular Telephone Systems
The Bell mobile system in New York City in the1970s could only support a maximum of
twelve simultaneous calls over a thousand
square miles.
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Cellular Telephone Systems
EXAMPLE 1: Using a typical analog system, each channel needs to have a
bandwidth of around 25 kHz to enable sufficient audio quality to be
carried, as well as allowing for a guard band between adjacent signals toensure there are no undue levels of interference. Using this concept, it is
possible to accommodate only forty users in a frequency band 1-MHz
wide. Even if 100 MHz were allocated to the system, this would enable
only 4000 users to have access to the system. Today cellular systems have
millions of subscribers, and therefore a far more efficient method of using
the available spectrum is needed.
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Introduction to CellularConcept
Solves the problem of spectral congestion and user capacity
Cellular Concept replacing a single, high power transmitter (large cell)
with many low power transmitters (small cells) and each providing
coverage to only small portion of the service area
Each base station is allocated a portion of the total number of channels
available channels to the entire system
Neighboring base stations are assigned different group of channels, so that
interference b/w base stations is minimized
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Frequency Reuse
Cellular radio systems rely on an intelligent allocation and reuse of channelsthroughout a coverage region
Each cellular base station is allocated a group of radio channels within asmall geographic area called a cell
Neighboring cells are assigned different channel groups
By limiting the coverage area to within the boundary of the cell, thechannel groups may be reused to cover different cells
Keep interference levels within tolerable limits
Frequency reuse or frequency planning
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Frequency Reuse
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Base Station Location
Base station location:
At the center of the cell (Omni-directional antenna)
At the vertices of three cells (directional antennas)
Practical considerations usually do not allow base stations to be placed
exactly as they appear in the hexagonal layout (~1/4 cell radius away from
the ideal location)
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How many calls does a cellular tower
typically carry (1s, 10s, 100s, 1000s,
10000s)?
The number of calls a cellular tower can serve
at any time is called the tower capacity. Acellular tower typically can serve around 100
to 200 customers at any time. Different
configurations can increase or decrease thetower capacity.
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Most Efficient Cell Shapes to Cover
Large Regions For proper cell shapes, let us observe the following points:
Boarders of cells are straight lines and cell shapes are
polygons (Polygons are geometric shapes with all edges being
straight lines like triangles, rectangles, pentagons, ).
Full coverage of the whole region is necessary without leaving
any uncovered spots.
We will assume that all cells have the same shape.
Cells should have some symmetry (cells can be rotated in place
at angles less than one complete rotation without affecting cells
layout)
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Pentagon?
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Cell Shape
Ex. hexagon geometry cell shape Designed to serve the weakest mobiles within the footprint (typically located at
the edge)
The hexagon has the largest area of the three regular shapes
Simplistic model, Universally adopted
Fewest number of cells can cover a geographic region
Approximate circular shape
no gaps
no overlap
equal area
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Do Cells in Reality have the
Hexagonal Shape? The answer is certainly NO. It is very rare that you see a cell that is close to
hexagonal because of many reasons:
1) Geographical features such as mountains and valleys alter the shape of
a cell significantly. Even small variations in height around the cellular
tower affect the shape of the cell.
2) The inability of a cell phone company to place the cell towers in exactly
the desired location due to geographical features or buildings.
3) The inefficiency of insuring hexagonal cells as sometimes the
population density within the coverage area may vary making it more
efficient to place more towers in regions with high population and lesstowers in regions with low population.
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Why Do We Study Hexagonal Cells
and not Non-Hexagonal Cells?
Because hexagonal cells are easier to analyze
and they give a good understanding of the
analysis techniques for nonhexagonal cells
without the complication of irregularly shapedcells. So, we will limit our discussion to
hexagonal cells only.
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Are Cells Sometimes Intentionally
Made Non-Hexagonal?
Yes. Two of the most spread nonhexagonal
cell shapes are the (1) highway style coverage
and (2) the Manhattan style coverage.
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How Often Are Frequencies
Reused (Frequency Reuse Factor)?
The frequency reuse factor is defined as 1
over the number of cells in the cluster of the
system.
Valid clusters are those that result in 6 cells
with the same frequency of a particular cell
located at equal distance from it.
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1-Cell Frequency Reuse Cluster
(Frequency Reuse Factor = 1)
Whole band of frequency is used in the cell
and reused in
Each of the adjacent
Cells
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2-Cell Frequency Reuse Cluster
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3-Cell Frequency Reuse Cluster
(Frequency Reuse Factor = 1/3)
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4-Cell Frequency Reuse Cluster
(Frequency Reuse Factor = 1/4)
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5-Cell Frequency Reuse Cluster
(Frequency Reuse Factor = 1/5)
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What Makes a Cell Frequency
Pattern Valid or Invalid? It is not wither you can stack clusters near each other to cover
the whole desired coverage area or not.
For example, 2Cell and 5cell frequency reuse clusters can
cover the whole area without gaps. However,
if you look at either the 2 or 5, you note that to each cell thereare some close cochannel cells (not equal to 6) and there are
some cochannel cells at a farther away distance (also not
equal to 6).
This makes the interference be dominated by the closecochannel cells. So, we are splitting the frequency
band into smaller regions in the hope of reducing the
interference but we are not necessarily getting the
benefits of this.
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What do We Gain What do
We Loose with Frequency Reuse? The higher the number of divisions of the spectrum over cells
(higher cellreuse factor), the lower the capacity of the
network but the further away cells with similar frequency
allocations are located resulting in lower interference.
The lower the number of divisions of the spectrum over cells
(Lower cellreuse factor), the higher the capacity of the
network but the closer cells with similar frequency allocations
are located resulting in higher interference.
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Frequency Allocation Concepts
Assume that the total frequency band allocated for
a cellular system is B Hz, and that each halfduplex
channel requires WHz, the number of fullduplex
channels Sthat the total band supports (onechannel for transmission and one for reception) is
S=B/2W
Let the total number of fullduplex channels be
divided equally among N cells (in an NCell
Frequency reuse system). The total number of
channels kassigned to each cell becomes
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K=S/N
with a frequency reuse factor FRF given by
FRF=1/N The N cells over which the complete frequency band has been
divided is called a CLUSTER. Ifthis cluster is repeated Mtimes
over the coverage area, this gives a total number of
fullduplex channels in the coverage area C equal to
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Cluster Size and System Capacity
Assume the following system parameters:K Number of channels in a cell
N Number of cells/cluster (Cluster size)
M Number of times the cluster is repeated
S = KN Number of channels in a cluster
C Total number of channelsC = MkN = MS
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Example
If a total of 33 MHz of bandwidth is allocated to a particular FDDcellular telephone system which uses two 25 kHz simplex channelsto provide full duplex voice and control channels,
(1) compute the number of channels available per cell if a systemuses
(a) 4-cell reuse, (b) 7-cell reuse (c) 12-cell reuse.
If 1 MHz of the allocated spectrum is dedicated to control channels,
(2) determine an how many control channels and voice channelsin each cell for each of the three systems.
l d
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Cluster Size and SystemCapacity
Cluster size N (with cell size const) more clusters are required tocover a given area C and hence more capacity
Co-channel cells become closer
Cluster size N (with cell size const) the ratio between cell size and thedistance between co-channel cells is large
Design Objectives for Cluster Size
1. High spectrum efficiency
many users per cell
small cluster size gives much bandwidth per cell
2. High performance
Little interference
Large cluster sizes
l d
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Cluster Size and SystemCapacity
There are only certain cluster sizes and cell layout which are
possible in order to connect without gaps between adjacent cells
N = i2 + ij + j2 , where i and j are non-negative integers
Example i = 2, j = 1
N = 22 + 2(1) + 12 = 4 + 2 + 1 = 7
Typical Cluster Sizes
N = 1, 3, 4, 7, 9, 12, 13, 16, 19, 21
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Frequency Reuse Again
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Frequency Reuse
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Nearest co-channel To find the nearest co-channelneighbors of a particular cell:
Move i cells along any chainof hexagon
Then turn 60 degree counter-
clockwise and move j cells
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Nearest co-channel
b h l ll
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Distance between Co-Channel Cell
Centers
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Geometry of a Hexagon
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Channel AssignmentStrategiesFixed Channel Assignments
Each cell is allocated a predetermined set of voice channels
If all the channels in that cell are occupied, the call is blocked, and
the subscriber does not receive service
Variation includes a borrowing strategy: a cell is allowed to borrow
channels from a neighboring cell if all its own channels are occupied
This is supervised by the Mobile Switch Center: Connects cells to
wide area network; Manages call setup; Handles mobility
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Channel AssignmentStrategiesDynamic Channel Assignments
Voice channels are not allocated to different cells permanently
Each time a call request is made, the serving base station requests achannel from the MSC
MSC then allocates a channel to the requested call according toalgorithm taking into account different factors: frequency re-use of
candidate channel and cost factors
Dynamic channel assignment is more complex (real time), butreduces likelihood of blocking
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HandoffThere are two base station
antennas that are transmitting a
signal of equal power to the phone
The primary base station of the cellin which the car is moving and a
secondary base station in the
neighboring cell the car is
approaching
The signal from the secondarystation causes interference with the
signal from the primary station
resulting a degradation of the cell
phones capabilities
Thus the power of the signal
received by the cell phone varies
as the car moves along
Signal-to-interference ratio
OrCarrier-to-interference ratio
Mobile moves from one cell to another cellwhile a conversation is in progress
Signal-to-interference ratio
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Once we know the height of the antennas and the distance between base
stations, both thepower of the received signals and hence the signal-to-
interference ratio can be computed
Fig 1 Fig 2
Fig 3
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Signal-to-interference ratio
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Handoff (Contd.)
Designers must specify an
optimum signal level at which to
initiate a handoff.
Margin () is defined,
= handoff threshold - Minimumacceptable signal to maintain the call
If too small:
Insufficient time
to complete handoff
before call is lost
More call losses
If too large:
Too many handoffs
Burden for MSC
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Call Dropped
Handoff is not made and call is dropped if:
Large delayby the MSC in assigning a handoff
Threshold margin () is set too small for the handoff time in the
system.
Excessive delays may occur during high traffic condition due to
computational loading at the MSC
No channels are available on any of the nearby base stations (thus
forcing the MSC to wait until a channel in a nearby cell becomes
free)
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Dwell Time
It is the time over which a call may be maintained within a
cell, without handoff
Depends on:
Propagation, interference, distance between the subscriber and the
base station, and other time varying effects. (the speed of the user
and the type of radio coverage)
Even a stationary subscriber may have a random and finite dwell time due to
fading effect.
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Styles of Handoff
Network Controlled Handoff (NCHO)- In first generation cellular system, each base station constantly monitorssignal strength from mobiles in its cell
- Based on the measures, MSC decides if handoff necessary
- Mobile plays passive role in process
- Burden on MSC
Mobile Assisted Handoff (MAHO)
- Mobile measures received power from surrounding base stations and reportto serving base station
- Handoff initiated when power received from a neighboring cell exceedscurrent value by a certain level or for a certain period of time
- Faster since measurements made by mobiles, MSC dont need monitor signalstrength
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Intersystem Handoff
If a mobile moves from one cellular system to different cellular
system controlled by a different compatible MSC
When a mobile signal becomes weak in a given cell and the MSC
cannot find another cell within its system to which it can transfer the
call in progress
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Prioritizing Handoff
Dropping a call is more annoying than line busy
Guard channel concept (Decrease the probability of forced termination
due to lack of available channels)
Reserve some channels for handoffs
Waste of bandwidthBut can be dynamically predicted
Queuing of handoff requests (due to lack of available channels)
There is a finite time interval between time for handoff and time to
drop (signal goes below the handoff threshold)
Better tradeoff between dropping call probability and network traffic
Practical Handoff
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Practical HandoffConsiderations
(1) Practically, several problems arise when attempting to design for a wide
range of mobile velocities
High speed vehicles pass through the coverage region of a cell within a
matter of seconds, whereaspedestrian users may never need a handoff
during a call
Particularly with the addition of microcells to provide capacity, the
MSC can quickly become burdened ifhigh speed users are constantly
beingpassed between very small cells
(2) Another practical limitation is the ability to obtain new cell sites. In
practice it is difficult for cellular service providers to obtain new physical
cell site locations in urban areas
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The umbrella Cell Solution
Is used to provide large area coverage to high speed users while providing
small area coverage to users traveling at low speeds
By using different antenna heights (often on the same building or tower)
and different power levels, it is possible to provide large and small cells
which are co-located at a single location
# handoffs is minimized for high speed users and provides additional
microcell channels for pedestrian users
If a high speed user in the large umbrella cell is approaching the base
station, and its velocity is rapidly decreasing, the base station may decide to
hand the user into the co-located microcell, without MSC intervention
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Umbrella Cell Approach
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Cell Dragging
As the user travels away from the base station at a very slow speed, the
average signal strength does not decay rapidly
Even when the user has traveled well beyond the designed range of the cell,
the received signal at the base station may be above the handoff threshold,
thus a handoff may not be made
Interference and traffic management problem, since the user has meanwhile
traveled deep within a neighboring cell
To solve this problem, handoff thresholds and radio coverage
parameters must be adjusted carefully
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Interference and SystemCapacity Interference is the major limiting factor in performance of cellular radio
systems
Sources of interference:
Mobiles in same cell
A call in progress in a neighboring cell Other base stations operating in the same frequency band
Non-cellular system leaking energy into the cellular frequency band
Effect of interference:
Cross talk in voice channels
For control channels missed or blocked calls
The two main types are:
co-channel interference
adjacent channel interference
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Co-channel Interference
Co-channel cells: Cells that use the same set of frequencies
Unlike thermal noise which can be overcome by increasing the signal-to-noise ration (SNR), co-channel interference cannot be combated by
simply increasing the carrier power of a transmitter
To reduce co-channel interference, co-channel cells must be physically
separated by a minimum distance to provide sufficient isolation due topropagation
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Co-channel Interference
When the size of each cell is the same, and the BSs transmit the same
power, the co-channel interference ratio depends on:
The radius of the cell (R)
The distance between centers of the nearest co-channel cells (D)
Co-channel reuse ratio:
Q increases Interference decreases Q decreases Interference increases (cluster size N decreases and
system capacity increases)
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h l
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Co-channel Reuse Ratio
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Signal-to-Interference Ratio
The signal-to-interference ratio (S/I or SIR) for a mobile receiver whichmonitors a forward channel (Down Link Channel) =
S : The desired signal power from the desired base station
Ii : The interference power caused by the ith interfering cell base station.
i0 : The number of interfering cells.
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Co-channel InterferenceAssumptions
The interference is due to co-channel base stations.
The transmit power of each base station is equal
The path loss exponent (n) is the same throughout the coverage area,
S/I for a mobile can be approximated as
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Adjacent ChannelInterferenceOrigin: Arising from signals which are adjacent in frequency to the
desired signal
Become serious by
Imperfect receiver filters which allow nearby frequencies to leak into thepassband (near-far-effect)
The Adjacent Channel Interference that a receiver A experiences from a
transmitter B is the sum of power that B emits into A's channel ( which iscalled the unwanted emission and represented by the ACLR (AdjacentChannel Leakage Ratio)
B emitting power into A's channel is called Adjacent Channel Leakage, orunwanted emissions
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Example
If a mobile is 20 times as close to the base station as another mobile and has
energy spill out of its passband, the signal-to- interference ratio at the base
station for the weak mobile (before receiver filtering) is approximately
For a path loss exponent n = 4, this is equal to -52 dB
Trunking and Grade of
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Trunking and Grade ofService
In cellular mobile communication, the two important aspect that has to be
considered with more care are,
1) Trunking2) Grade of Service (GOS)
These aspects has to be well planned so that it will lead to a better system
performance
Trunking
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Trunking Trunking deals with accommodation of large number of mobile users in
minimum radio spectrum
By using this Trunking concept it is possible to allow many users to share
smaller number of mobile channels in a cell
It is done by assigning channels on demand basis and allocating a channel
from a pool of channels available
That is if a user want to access a channel for establishing a call, then from
the pool of channels the required channel will be assigned to the user
If call got terminated, then the channel used so far will return to the pool
and will be ready for next call
The trunking concept finds application in telephone circuitry, mobile radio
communication in a large way
Trunking Theory
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Trunking Theory
Important to design trunked radio systems that can handle a specificcapacity at a specific grade of service, GOS
Trunking theory was developed by Erlang
Erlang based his studies of the statistical nature of the arrival and the lengthof calls. The measure of traffic intensity bears his name
One Erlang represents the amount of traffic intensity carried by a channelthat is completely occupied
For example, a radio channel that is occupied for 15 minutes during an
hour carries 0.25 Erlangs of traffic
Traffic Intensity = = 0.25 Erlangs
Th G d f S i (GOS)
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The Grade of Service (GOS)
The grade of service (GOS) is a measure of the ability of a user to access
a trunked system during the busiest hour
It is used to define the desired performance of a particular trunked system
GOS is typically given as the probability that a call is blocked, or the
probability of a call experiencing a delay, greater than a certain queuing
time
Some Definitions used in Trunking Theory
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Some Definitions used in Trunking Theory
Set-up Time: The time required to allocate a trunked radio channel torequesting user
Blocked Call: Call which cannot be completed at the time of request
Holding Time (H): Average duration of a typical call (H in seconds)
Traffic Intensity (A): Measure of channel time utilization (averagechannel occupancy measured in Erlangs)
Load: Traffic intensity across the entire trunked radio system (Erlangs)
Grade of service (GOS): A measure of congestion which is specified asthe probability of a call being blocked, or the probability of a call beingdelayed beyond a certain amount of time
Request Rate (): The average number of call request per unit time
T ffi I i (A)
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Traffic Intensity (A)
T f t k d t
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Types of trunked systems
E l B f l
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Erlang B formula
Improving Coverage &
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Improving Coverage &Capacity Increasing
C ll litti
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Cell splitting
C ll litti
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Cell splitting
E l
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Example
The base stations are placed at corners of the cells
The original base stationA is surrounded by six new microcells
In this example the smaller cells added in such a way as to preserve the
frequency reuse plan of the system
Each microcell base station isplaced half way between two larger stations
utilizing the same channel
Cell splitting simply scales the
geometry of the cluster
The radius of each new microcell
is half that of the original cell
i l bl i C ll li i
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Practical problems in Cell splitting
Channel Assignment
Not all cells are split at the same time
It is often difficult to find real estate that is perfectly situated for cell
splitting
Different cell sizes will exist simultaneously
Special care needs to be taken to keep the distance between co-channel
cells at the required minimum, and hence channel assignments become
more complicated
Handoff:
High speed and low speed traffic should be simultaneously accommodated(the umbrella cell approach is commonly used).
P i l bl i C ll li i
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Practical problems in Cell splitting
If the larger transmit power is used for all cells, some channels used by the
smaller cells would not be sufficiently separated from co-channel cells
If the smaller transmit power is used for all the cells, there would be parts
of the larger cells left unserved
In practice different cell sizes will exist simultaneously
C ll S t i
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Cell Sectoring
Reduction of Co-channel interference
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Reduction of Co channel interference
using sector antennas
Cell Sectorin
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Cell Sectoring
The S/I improvement is achieved at the cost of thenumber of antennas at
each base station
Sectoring decreases trunking efficiency due to channel sectoring at the
base station
Since sectoring reduces the coverage area of a particular group of channels,
the number of handoffs increases
Handed off from sector to sector within the same cell without intervention
from the MSC