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8/4/2019 Chapter 3.1-3.4 the Cellular Concept
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January, 2004M. Junaid Mughal
Wireless CommunicationsPrinciples and Practice
2nd
EditionPrentice-Hall
By Theodore S. Rappaport
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The Cellular Concept-System Design Fundamentals
Chapter 3
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3.1 Introduction
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3.1 Introduction
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3.2 Frequency Reuse
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Linear Cells as an Exampleof Frequency Reuse
For acceptable voice quality Signal to Interference ratio
P/I > 50 (17dB)
f1 f2 f3 f1 f2 f3
P I
Cell 1 Cell 2 Cell 3 Cell 1 Cell 2 Cell 3
Region 1 Region 2
Total Band width (BW) is divided into three adjacent bands f1, f2 and f3
Such that BW = f1+f2+f3
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3.1 Introduction (Contd.)
Different Type of Possible Cell shapes
For the same Cell Radius (R)
(distance from center toCell boundary)
Area of Hexagon is the largest
R
R
R
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Cluster Size
12
312
3
12
3
12
3 4
12
3 4
1
2
3 4
3 Cell Cluster 4 Cell Cluster
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Hexagonal Cells for Area Coverage
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v1
v2
60o
In area coverage using Hexagonal Cells the distance
between any two Cells can be expressed as a linear
combination of two Basis Vectors v1 and v2
A
B
C
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v1
v2
60o
R30o
|v1| = 2 x R cos(30o) = 3 R
|v2| = 2 x R cos(30o) = 3 R
Magnitude of the Basis Vectors
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v1
v2
60o
Area of the Parallelogram = v1 x v2 = (3R)(3R)sin(60)
= 3R2sin(60).
A Parallelogram can be defined by Basis
Vectors v1 and v2
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The Parallelograms defined by v1 and v2 have the same
transitional periodicity as the hexagonal Cells
Therefore, if M hexagonal cells are required to cover an area thenwe will have M Parallelograms covering the same area
Hence the area of the Parallelogram is equal to the area of the Hexagon
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Area of the Parallelogram = v1 x v2
v1
v2
Area of Parallelogram is equal to the area of the Hexagon ??
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Cellular Concept
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Capacity
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Capacity
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12
3 4
5
67
v1
v2
1
2
3 4
5
67
12
3 4
5
67
U1
U2
60o
The region of Frequency reuse
can be composed of any integernumber N of contiguous (adjacent)
cells
All other regions are obtained by
translation of the defining region
through a linear combination of
the frequency reuse vectors U1 and
U2
In the Figure N = 7.
In the Figure same colour
represents a frequency reuse
region
Frequency Reuse Vectors U1 and U2
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The displacement between
any two cells using the same
frequency can also be
expressed as a linear
combination of the two reuse
vectors.
e.g.,Displacement AB = U1+U2
Displacement AC = 2U2
Frequency Reuse Vectors U1 and U2
U1
U2
A
B
C
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The Parallelogram defined by U1
and U2 has the same transitional
periodicity as the frequency reuse
region
Hence the area of the frequency
reuse region is equal to the area of
the Parallelogram
Area = |U1 x U2|
= N time area of a single cell
|U1 x U2| = N.|v1 x v2|
Parallelogram defined by Frequency
Reuse Vectors U1 and U2
U1
U2
A
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12
3 4
5
67
v1
v2
1
2
3 4
5
67
12
3 4
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U1
U2
60o
The Frequency reuse
vectors/displacement vectors canbe expressed in terms of the
Basis Vectors (v1 & v2) as
U1 = k1v1 + m1v2
U2 = k2v1 + m2v2Where the constants k1, k2, m1and m2 are integers.
Frequency Reuse Vectors U1 and U2
e.g., in the present case U1 = 2v1 + v2
U2 = -v1 + 3v2
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v1
v2
1
2
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5
67
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67
U1
U2
60o
|U1xU2| = |k1m2 k2m1||v1x v2|
Area of Parallelogram defined by
Vectors U1 and U2
As discussed earlier
Area = |U1 x U2|
= N time area of a single cell|U1 x U2| = N.|v1 x v2|
N = |k1m
2 k
2m
1|
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12
3 4
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67
v1
v2
1
2
3 4
5
67
12
3 4
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U1
U2
60o
For symmetric reuse patterns
only certain values of N are
allowed.
To find these values k2 and m2
are expressed in terms of k1
and m1 under the condition that
1. Magnitude ofU2 and U1 is
same
2. U2 is rotated 60o counter
clockwise w.r.t U1.
Calculation for the Value of N for
symmetrically located co-channel cells
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-v1
v1
v2 U1
U2
60o
v2-v1
-v1
If we represent U1 as alinear combination ofv1and v2 as,
U1
= k1v
1+ m
1v
2
Similarly, we can
represent U2 as a
linear combination of
v2 and (v2- v1) as,
U2 = k1v2 + m1(v2-v1)
Calculation for the Value of N for symmetrically
located co-channel cells
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Calculation for the Value of N for
symmetrically located co-channel cells
U2 = k1v2 + m1(v2-v1)
Previously it was defined as
U2
= k2v
1+ m
2v
2-------------------(2)
Comparing (1) and (2) we get
k2 = -m1and
m2 = k1+ m1Therefore,
rearrangingU2 = -m1v1 +(k1+ m1)v2 ------------(1)
N = |k1m2 k2m1| = m12 + m1k1+ k1
2
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Locating Co-Channel Cells
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Locating Co-Channel Cells
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3.3 Channel Assignment Strategies
Channel Assignment Strategies are used for Efficient
Utilization of Radio Spectrum with the main Objectives
of:
Increasing Capacity
Minimizing Interference
Classification of Channel Assignment Strategies
Fixed channel assignment strategy
Dynamic channel assignment strategy
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3.3 Channel Assignment Strategies (Contd.)
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3.3 Channel Assignment Strategies (Contd.)
Fixed Channel Assignment Strategy
Each cell allocated a predetermined set of voice channels
If all channels are occupied then calls are blocked
* Several variations of the fixed assignment strategy exist
such as Borrowing strategyto tackle call blockage
* MSC supervises this borrowing ensuring that borrowing
of channels does not disrupt or interfere with any other
calls Or Reserves some channels for handoff.
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3.3 Channel Assignment Strategies (Contd.)
Dynamic Channel Assignment Strategy
voice channels are not allocated to different cells
permanently
at a call request the serving base station requests the
MSC for a channel
MSC allocates the channel following an algorithm that
takes into account,
* Likelihood of future blocking with in the cell
* Frequency of use of the candidate channel
* Reuse distance, etc.
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3.3 Channel Assignment Strategies (Contd.)
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3.3 Channel Assignment Strategies (Contd.)
Dynamic Channel Assignment Strategy
Advantages
Reduces the likelihood of blocking, which increasesthe trunking capacity of the system
Disadvantages
MSC has to collect real-time data on channel
occupancy and radio signal indications (RSSI),hence, increases storage and computational load
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3.3 Channel Assignment Strategies (Contd.)
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3.4 Handoff Strategies
Handoff (HO)
When a mobile moves into a different cell while aconversation is in progress, the MSC automaticallytransfers the call to a new channel belonging to thenew base station
The HO operation not only involves identifying a
new base station, but also requires that the voice
and control signals be allocated to channelsassociated with the new base station
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3.4 Handoff Strategies
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3.4 Handoff Strategies
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3.4 Handoff Strategies (Contd..)
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3.4 Handoff Strategies (Contd..)
Many HO strategies prioritizeHO requests over call initiation
requests when allocating unused channels HO must be performed
Successfully, infrequently and should be imperceptible to the users
Threshold signal level
= Pr handoff Pr minimum usable
Pr handoff specifies the optimum signal level at which to initiate handoffPr minimum usableminimum usable signal for acceptable voice quality at the
base station receiverIf to large: unnecessary HOs
If to small: calls may be lost due to insufficient time for HO
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3.4 Handoff Strategies (Contd..)
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3.4 Handoff Strategies (Contd..)
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3.4 Handoff Strategies (Contd..)
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3.4 Handoff Strategies (Contd..)
In 1G analog cellular systems,
signal strengths measurements are made by BS
and supervised by MSC. BS measures signal
strength of all Reverse Voice Channels RVCs
In each BS a spare receiveror locator receiver
measures signal strengths of channels in
neighboring cells
Based on the information from all the locator
receivers the MSC decides if HO is necessary or
not
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3.4 Handoff Strategies (Contd..)
In 2G cellular systems that uses digital TDMA
HO decisions are mobile assisted; mobile assisted handoff(MAHO)
In MAHO every mobile measures the received power from
the surrounding BSs and continually reports the results to the
serving BS
MAHO allows much faster HOs, as the HO measurements
are made by each mobile and the MSC no longer constantly
monitors the signal strength MAHO is particularly suited for microcellular environments
where HOs are more frequent
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3.4 Handoff Strategies (Contd..)
Intersystem Handoff
During the course of a call if a mobile moves from one cellularsystem to a different cellular system controlled by a different
MSC and intersystem handoff becomes necessary
Conditions for Intersystem HO
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
Issues to be addressed when Implementing Intersystem HO
A local call may become long distance call (billing issue)
Compatibility between the two MSCs
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3.4 Handoff Strategies (Contd..)
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3.4.1 Prioritizing Handoffs
Different systems have different policies
and methods for managing handoff
requests. Some systems give priority to
HO over call initiation others deal them at
same priority
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3.4.1 Prioritizing Handoffs
Guard channel concept
Disadvantage reduces total carried traffic
Advantage efficient spectrum utilization with dynamic
channel assignment
Queuing of Handoff requests Possible because a finite time interval between the time the
signal drops below the HO threshold and the time the call is
terminated due to insufficient signal level
* There is a tradeoff between the decrease in probability
of forced termination and total carried traffic
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3.4.1 Prioritizing Handoffs
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3.4.2 Practical Handoff Considerations
Umbrella Cells
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3.4.2 Practical Handoff Considerations
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3.4.2 Practical Handoff Considerations
Cell Dragging
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Cont .
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3.4.2 Practical Handoff Considerations
IS-95 CDMA
Soft Handoff
This technique exploits macroscopicspace diversity provided by the different
physical locations of the base stations andallows the MSC to make soft decision asto which version of the users signal to
pass along to the PSTN at any instance.
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