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Introduction to channel borrowing
scheme cellular networks




By

Tanmoy Barman

HALDIA INSTITUTE OF TECHNOLOGY




1|Page
Introduction
Advances in cellular mobile technology have engendered a new
paradigm of computing, called mobile computing. The frequency
spectrum allocated to this service is not sufficient with respect to
enormous growth of mobile communication users. Tracking down a
mobile user in a cellular network which is a collection of geometric areas
called cells each serviced by a base station is the other concern to the
designer. This service also needs another problem to be solved, that is
the access of common information by mobile users. Other than the
issues in existing technology, many other issues on developing
technology need to be addressed. One main issue in cellular system
design reduces to one of economics. Essentially we have a limited
resource transmission spectrum that must be shared by several users.
Unlike wired communications which benefits from isolation provided by
cables, wireless users within close proximity of one another can cause
significant interference to one another. To address this issue, the
concept of cellular communications was introduced around in 1968 by
researchers at AT&T Bell Labs.




2|Page
Channel Allocation
There are several challenges in mobile cellular environment which is
generally conceived as a collection of geometric areas called cells, each
serviced by a base station (BS) located at its centre. A number of cells
are again linked to a mobile switching centre (MSC) which also acts as a
gateway of the cellular network to the existing wired network (shown in
Figure 1). The problems in this area are clearly divided in two parts.
Some of them are based on electronics and telecommunication and
some of them are information based.

The basic concept being that a given geography is divided into polygons
(hexagon) called cells. Each cell is allocated a portion of the total
frequency spectrum. As users move into a given cell, they are then
permitted to utilize the channel allocated to that cell. The virtue of the
cellular system is that different cells can use the same channel given
that the cells are separated by a minimum distance according to the
system propagation characteristics; otherwise, intercellular or co-
channel interference occurs. The minimum distance necessary to reduce
co-channel interference is called the reuse distance. The reuse distance
is defined as the ratio of the distance, D, between cells that can use the
same channel without causing interference and the cell radius, R. Note
that R is the distance from the center of a cell to the outermost point of
the cell in cases when the cells are not circular.




3|Page
Figure 1

A given radio spectrum is to be divided into a set of disjointed channels
that can be used simultaneously while minimizing interference in
adjacent channel by allocating channels appropriately (especially for
traffic channels).

Channel allocation deals with the allocation of channels to cells in a
cellular network. Once the channels are allocated, cells may then allow
users within the cell to communicate via the available channels.
Channels in a wireless communication system typically consist of time
slots, frequency bands and/or CDMA pseudo noise sequences, but in an
abstract sense, they can represent any generic transmission resource.

There are three major categories for assigning these channels to cells
(or base-stations). They are

     Fixed Channel Allocation,
     Dynamic Channel Allocation and
     Hybrid Channel Allocation.




4|Page
Fixed Channel Allocation

Fixed Channel Allocation (FCA) systems allocate specific channels to
specific cells. This allocation is static and cannot be changed. For
efficient operation, FCA systems typically allocate channels in a manner
that maximizes frequency reuse. Thus, in a FCA system, the distance
between cells using the same channel is the minimum reuse distance for
that system. The problem with FCA systems is quite simple and occurs
whenever the offered traffic to a network of base stations is not uniform.
Consider a case in which two adjacent cells are allocated N channels
each. There clearly can be situations in which one cell has a need for
N+k channels while the adjacent cell only requires N-m channels (for
positive integers k and m). In such a case, k users in the first cell would
be blocked from making calls while m channels in the second cell would
go unused. Clearly in this situation of non-uniform spatial offered traffic,
the available channels are not being used efficiently. FCA has been
implemented on a widespread level to date(shown in Figure 2).


In FCA schemes, a set of channels is permanently allocated to each cell
in the network.
5|Page
If the total number of available channels in the system S is divided into
sets, the minimum number of channel sets N required to serve the entire
coverage area is related to the frequency reuse distance D as follows:
N = D2 / 3R2
Due to short term fluctuations in the traffic, FCA schemes are often not
able to maintain high quality of service and capacity attainable with static
traffic demands. One approach to address this problem is to borrow free
channels from neighboring cells.




                                 Figure 2



Dynamic Channel Allocation

In DCA schemes, all channels are kept in a central pool and are
assigned dynamically to new calls as they arrive in the system. After
each call is completed, the channel is returned to the central pool. It is
fairly straightforward to select the most appropriate channel for any call
based simply on current allocation and current traffic, with the aim of
minimizing the interference. DCA scheme can overcome the problem of
FCA scheme. However, variations in DCA schemes center around the
different cost functions used for selecting one of the candidate channels
for assignment (shown in figure 3).




6|Page
Figure 3




DCA schemes can be centralized or distributed.
The centralized DCA scheme involves a single controller selecting a
channel for each cell;
The distributed DCA scheme involves a number of controllers scattered
across the network (MSCs).



Centralized DCA schemes can theoretically provide the best
performance. However, the enormous amount of computation and
communication among BSs leads to excessive system latencies and
renders centralized DCA schemes impractical. Nevertheless, centralized
DCA schemes often provide a useful benchmark to compare practical
decentralized DCA schemes.
Dynamic Channel Allocation (DCA) attempts to alleviate the problem
mentioned for FCA systems when offered traffic is non-uniform. In DCA
systems, no set relationship exists between channels and cells. Instead,
channels are part of a pool of resources. Whenever a channel is needed
by a cell, the channel is allocated under the constraint that frequency

7|Page
reuse requirements cannot be violated. There are two problems that
typically occur with DCA based systems.
   • First, DCA methods typically have a degree of randomness
     associated with them and this leads to the fact that frequency
     reuse is often not maximized unlike the case for FCA systems in
     which cells using the same channel are separated by the minimum
     reuse distance.
   • Secondly, DCA methods often involve complex algorithms for
     deciding which available channel is most efficient. These
     algorithms can be very computationally intensive and may require
     large computing resources in order to be real-time.


Centralised DCS Scheme

    For a new call, a free channel from the central pool is selected that
     would maximize the number of members in its co-channel set.

    Minimize the mean square of distance between cells using the
     same channel.

Scheme               Description

First    Available   Among the DCA schemes the simplest one is the
(FA)                 FA strategy. In F A, the first available channel within
                     the reuse distance encountered during a channel
                     search is assigned to the call.

                     The   FA    strategy      minimizes      the    system
                     computational time.

Locally Optimized    The channel selection is based on the future
Dynamic              blocking probability in the vicinity of the cell where a
Assignment           call is initiated.
(LODA)




8|Page
Scheme                Description


Mean         Square   The MSQ scheme selects the available channel that
(MSQ),                minimizes the mean square of the distance among
                      the cells using the same channel.


1-clique              This scheme uses a set of graphs, one for each
                      channel,     expressing    the   non   co-channel
                      interference structure over the whole service area
                      for that channel.




Distributed DCA Scheme

   Based on one of the three parameters:-

            Co-channel distance

             - co-channel cells in the neighborhood not using the channel.

             - Sometimes adjacent channel interference taken in to
account.

            Signal strength measurement

             - anticipated CIR above threshold.

            Signal to noise interference ratio

             - satisfy desired CIR ratio.




9|Page
Hybrid Channel Allocation

HCA schemes are the combination of both FCA and DCA techniques. In
HCA schemes, the total number of channels available for service is
divided into fixed and dynamic sets. The fixed set contains a number of
nominal channels that are assigned to cells as in the FCA schemes and,
in all cases, are to be preferred for use in their respective cells. The
dynamic set is shared by all users in the system to increase flexibility.
Request for a channel from the dynamic set is initiated only when the
cell has exhausted using all its channels from the fixed set (shown in
figure 4).

Extra features:-

                   3:1 (fixed to dynamic), provides better service than
                   fixed scheme for 50% traffic.
                   Beyond 50% fixed scheme perform better.
                   For dynamic, with traffic load of 15% to 32%, better
                   results are found with HCA.

Example: When a call requires service from a cell and all of its nominal
channels are busy, a channel from the dynamic set is assigned to the
call.




10 | P a g e
Figure 4

Switching strategies




11 | P a g e
Comparison between FCA and DCA
FCA                                    DCA

     Performs better under heavy        Performs         better        under
      traffic                             light/moderate traffic

     Low flexibility   in   channel     Flexible channel allocation
      assignment
                                         Not    always   maximum       channel


12 | P a g e
 Maximum channel reusability                reusability

     Sensitive to time and spatial           Insensitive to time and time spatial
      changes                                  changes

     Not stable grade of service per         Stable grade of service per cell in
      cell in an interference cell             an interference cell group
      group
                                              Low to moderate forced              call
     High forced call termination             termination probability
      probability
                                              Suitable    in            microcellular
     Suitable  for        large      cell     environment
      environment
                                              High flexibility
     Low flexibility
                                              Radio   equipment   covers    the
     Radio equipment covers all               temporary channel assigned to the
      channels assigned to the cell            cell

        Independent channel control            Fully centralized to fully distributed
                                                 control dependent on the scheme
        Low computational effort
                                                High computational effort
        Low call set up delay
                                                Moderate to high call set up delay
       Low             implementation
        complexity                              Moderate to high implementation
                                                 complexity
        Complex,    labor       intensive
        frequency planning                      No frequency planning

        Low signaling load                     Moderate to high signaling load

        Centralized control                    Centralized, distributed      control
                                                 depending on the scheme




13 | P a g e
Common Principles of Channel Allocation
Schemes

The large array of possible channel allocation systems can become
cumbersome. However, all channel allocation methods operate under
simple, common principles. Throughout this report we have touched on
three points which an efficient channel allocation scheme should
address:
    1. Channel allocation schemes must not violate minimum frequency
       reuse conditions.
    2. Channel allocation schemes should adapt to changing traffic
       conditions.
    3. Channel allocation schemes should approach (from above) the
       minimum frequency reuse constraints so as to efficiently utilize
       available transmission resources.
As the first requirement suggests, all channel allocation schemes adhere
to condition 1. From a frequency reuse standpoint, a fixed channel
allocation system distributes frequency (or other transmission) resources

14 | P a g e
to the cells in an optimum manner; i.e., common channels are separated
by the minimum frequency reuse distance. Thus, a fixed channel
allocation scheme perfectly satisfies condition 3 as well. However, a
fixed allocation scheme does not satisfy condition 2.
Philosophically, any dynamic channel allocation scheme will meet the
requirements of all of the
above three conditions to some degree. At the system architecture level
dynamic channel allocation schemes may differ widely, but
fundamentally, their only difference is in the degree to which they satisfy
condition 3. Different DCA schemes attempt to satisfy condition 3 (in
addition to conditions 1 and 2) by approaching the minimum frequency
reuse constraint arbitrarily closely, and by doing so in as short a time
period as possible. The above three conditions point to the fact that
design of dynamic channel allocation schemes falls within the general
class of optimization problems. Furthermore, since we can always
assume that the available number of base stations is finite and the
transmission resources will always be countable (due to FCC
requirements if nothing else) then our problem can be reduced to the
subclass of combinatorial optimization problems. As with all
combinatorial optimization problems, there will exist a solution space
and a cost function. A typical element of the solution space could be a
particular layout of frequency channels among the base-stations. The
cost function can be loosely characterized as the difference between the
frequency reuse of an arbitrary solution and the frequency reuse of the
optimized solution. The error associated with a non-optimized cost is
realized as a future increased blocking probability or an otherwise
unwarranted lack of channel availability. It is typically assumed that the
solution to the wireless dynamic channel allocation problem is NP-
complete [Yue, Cox - 1971]. The definition of np-completeness follows
from the conjecture made in the late 1960's that there exists a class of
combinatorial optimization problems of such inherent complexity that any
algorithm, solving each instance of such a problem to optimality, requires
a computational effort that grows super polynomially with the size of the
problem. In the case of dynamic channel allocation, the complexity is
generally attributed to the required inclusion of co-channel interference
in any analysis of dynamic channel allocation schemes. The author is
aware of one published article to date offering an analytical method
(approximate) for calculating the performance of dynamic channel
allocation. Recently, several approximation techniques have been
proposed as methods for solving condition 3 of the dynamic channel
allocation problem. In particular there has been interest in applying
simulated annealing techniques [Duque-Anton] and neural network

15 | P a g e
methods to dynamic channel allocation.




Conclusion
This document has been briefly discussed about the static and dynamic
allocation techniques on cellular networks. These techniques have been
implemented in different areas and each technique has its advantages
and disadvantages. Numbers of works are going on this field so far and
furthermore many researches are going to make these techniques more
stable. Growing up mobile technologies must need a reliable technique
to cope up with this matter.




16 | P a g e
Bibliography
This document has been created with the help of

        Wireless communication department paper
        Challenges of computing in mobile cellular environment—a survey
        by
        S. DasBit*, S. Mitra
        Wireless telecommunication Lab Document




17 | P a g e
18 | P a g e

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Introduction to channel borrowing scheme cellular networks

  • 1. Introduction to channel borrowing scheme cellular networks By Tanmoy Barman HALDIA INSTITUTE OF TECHNOLOGY 1|Page
  • 2. Introduction Advances in cellular mobile technology have engendered a new paradigm of computing, called mobile computing. The frequency spectrum allocated to this service is not sufficient with respect to enormous growth of mobile communication users. Tracking down a mobile user in a cellular network which is a collection of geometric areas called cells each serviced by a base station is the other concern to the designer. This service also needs another problem to be solved, that is the access of common information by mobile users. Other than the issues in existing technology, many other issues on developing technology need to be addressed. One main issue in cellular system design reduces to one of economics. Essentially we have a limited resource transmission spectrum that must be shared by several users. Unlike wired communications which benefits from isolation provided by cables, wireless users within close proximity of one another can cause significant interference to one another. To address this issue, the concept of cellular communications was introduced around in 1968 by researchers at AT&T Bell Labs. 2|Page
  • 3. Channel Allocation There are several challenges in mobile cellular environment which is generally conceived as a collection of geometric areas called cells, each serviced by a base station (BS) located at its centre. A number of cells are again linked to a mobile switching centre (MSC) which also acts as a gateway of the cellular network to the existing wired network (shown in Figure 1). The problems in this area are clearly divided in two parts. Some of them are based on electronics and telecommunication and some of them are information based. The basic concept being that a given geography is divided into polygons (hexagon) called cells. Each cell is allocated a portion of the total frequency spectrum. As users move into a given cell, they are then permitted to utilize the channel allocated to that cell. The virtue of the cellular system is that different cells can use the same channel given that the cells are separated by a minimum distance according to the system propagation characteristics; otherwise, intercellular or co- channel interference occurs. The minimum distance necessary to reduce co-channel interference is called the reuse distance. The reuse distance is defined as the ratio of the distance, D, between cells that can use the same channel without causing interference and the cell radius, R. Note that R is the distance from the center of a cell to the outermost point of the cell in cases when the cells are not circular. 3|Page
  • 4. Figure 1 A given radio spectrum is to be divided into a set of disjointed channels that can be used simultaneously while minimizing interference in adjacent channel by allocating channels appropriately (especially for traffic channels). Channel allocation deals with the allocation of channels to cells in a cellular network. Once the channels are allocated, cells may then allow users within the cell to communicate via the available channels. Channels in a wireless communication system typically consist of time slots, frequency bands and/or CDMA pseudo noise sequences, but in an abstract sense, they can represent any generic transmission resource. There are three major categories for assigning these channels to cells (or base-stations). They are Fixed Channel Allocation, Dynamic Channel Allocation and Hybrid Channel Allocation. 4|Page
  • 5. Fixed Channel Allocation Fixed Channel Allocation (FCA) systems allocate specific channels to specific cells. This allocation is static and cannot be changed. For efficient operation, FCA systems typically allocate channels in a manner that maximizes frequency reuse. Thus, in a FCA system, the distance between cells using the same channel is the minimum reuse distance for that system. The problem with FCA systems is quite simple and occurs whenever the offered traffic to a network of base stations is not uniform. Consider a case in which two adjacent cells are allocated N channels each. There clearly can be situations in which one cell has a need for N+k channels while the adjacent cell only requires N-m channels (for positive integers k and m). In such a case, k users in the first cell would be blocked from making calls while m channels in the second cell would go unused. Clearly in this situation of non-uniform spatial offered traffic, the available channels are not being used efficiently. FCA has been implemented on a widespread level to date(shown in Figure 2). In FCA schemes, a set of channels is permanently allocated to each cell in the network. 5|Page
  • 6. If the total number of available channels in the system S is divided into sets, the minimum number of channel sets N required to serve the entire coverage area is related to the frequency reuse distance D as follows: N = D2 / 3R2 Due to short term fluctuations in the traffic, FCA schemes are often not able to maintain high quality of service and capacity attainable with static traffic demands. One approach to address this problem is to borrow free channels from neighboring cells. Figure 2 Dynamic Channel Allocation In DCA schemes, all channels are kept in a central pool and are assigned dynamically to new calls as they arrive in the system. After each call is completed, the channel is returned to the central pool. It is fairly straightforward to select the most appropriate channel for any call based simply on current allocation and current traffic, with the aim of minimizing the interference. DCA scheme can overcome the problem of FCA scheme. However, variations in DCA schemes center around the different cost functions used for selecting one of the candidate channels for assignment (shown in figure 3). 6|Page
  • 7. Figure 3 DCA schemes can be centralized or distributed. The centralized DCA scheme involves a single controller selecting a channel for each cell; The distributed DCA scheme involves a number of controllers scattered across the network (MSCs). Centralized DCA schemes can theoretically provide the best performance. However, the enormous amount of computation and communication among BSs leads to excessive system latencies and renders centralized DCA schemes impractical. Nevertheless, centralized DCA schemes often provide a useful benchmark to compare practical decentralized DCA schemes. Dynamic Channel Allocation (DCA) attempts to alleviate the problem mentioned for FCA systems when offered traffic is non-uniform. In DCA systems, no set relationship exists between channels and cells. Instead, channels are part of a pool of resources. Whenever a channel is needed by a cell, the channel is allocated under the constraint that frequency 7|Page
  • 8. reuse requirements cannot be violated. There are two problems that typically occur with DCA based systems. • First, DCA methods typically have a degree of randomness associated with them and this leads to the fact that frequency reuse is often not maximized unlike the case for FCA systems in which cells using the same channel are separated by the minimum reuse distance. • Secondly, DCA methods often involve complex algorithms for deciding which available channel is most efficient. These algorithms can be very computationally intensive and may require large computing resources in order to be real-time. Centralised DCS Scheme  For a new call, a free channel from the central pool is selected that would maximize the number of members in its co-channel set.  Minimize the mean square of distance between cells using the same channel. Scheme Description First Available Among the DCA schemes the simplest one is the (FA) FA strategy. In F A, the first available channel within the reuse distance encountered during a channel search is assigned to the call. The FA strategy minimizes the system computational time. Locally Optimized The channel selection is based on the future Dynamic blocking probability in the vicinity of the cell where a Assignment call is initiated. (LODA) 8|Page
  • 9. Scheme Description Mean Square The MSQ scheme selects the available channel that (MSQ), minimizes the mean square of the distance among the cells using the same channel. 1-clique This scheme uses a set of graphs, one for each channel, expressing the non co-channel interference structure over the whole service area for that channel. Distributed DCA Scheme  Based on one of the three parameters:-  Co-channel distance - co-channel cells in the neighborhood not using the channel. - Sometimes adjacent channel interference taken in to account.  Signal strength measurement - anticipated CIR above threshold.  Signal to noise interference ratio - satisfy desired CIR ratio. 9|Page
  • 10. Hybrid Channel Allocation HCA schemes are the combination of both FCA and DCA techniques. In HCA schemes, the total number of channels available for service is divided into fixed and dynamic sets. The fixed set contains a number of nominal channels that are assigned to cells as in the FCA schemes and, in all cases, are to be preferred for use in their respective cells. The dynamic set is shared by all users in the system to increase flexibility. Request for a channel from the dynamic set is initiated only when the cell has exhausted using all its channels from the fixed set (shown in figure 4). Extra features:- 3:1 (fixed to dynamic), provides better service than fixed scheme for 50% traffic. Beyond 50% fixed scheme perform better. For dynamic, with traffic load of 15% to 32%, better results are found with HCA. Example: When a call requires service from a cell and all of its nominal channels are busy, a channel from the dynamic set is assigned to the call. 10 | P a g e
  • 12. Comparison between FCA and DCA FCA DCA  Performs better under heavy  Performs better under traffic light/moderate traffic  Low flexibility in channel  Flexible channel allocation assignment  Not always maximum channel 12 | P a g e
  • 13.  Maximum channel reusability reusability  Sensitive to time and spatial  Insensitive to time and time spatial changes changes  Not stable grade of service per  Stable grade of service per cell in cell in an interference cell an interference cell group group  Low to moderate forced call  High forced call termination termination probability probability  Suitable in microcellular  Suitable for large cell environment environment  High flexibility  Low flexibility  Radio equipment covers the  Radio equipment covers all temporary channel assigned to the channels assigned to the cell cell  Independent channel control  Fully centralized to fully distributed control dependent on the scheme  Low computational effort  High computational effort  Low call set up delay  Moderate to high call set up delay  Low implementation complexity  Moderate to high implementation complexity  Complex, labor intensive frequency planning  No frequency planning  Low signaling load  Moderate to high signaling load  Centralized control  Centralized, distributed control depending on the scheme 13 | P a g e
  • 14. Common Principles of Channel Allocation Schemes The large array of possible channel allocation systems can become cumbersome. However, all channel allocation methods operate under simple, common principles. Throughout this report we have touched on three points which an efficient channel allocation scheme should address: 1. Channel allocation schemes must not violate minimum frequency reuse conditions. 2. Channel allocation schemes should adapt to changing traffic conditions. 3. Channel allocation schemes should approach (from above) the minimum frequency reuse constraints so as to efficiently utilize available transmission resources. As the first requirement suggests, all channel allocation schemes adhere to condition 1. From a frequency reuse standpoint, a fixed channel allocation system distributes frequency (or other transmission) resources 14 | P a g e
  • 15. to the cells in an optimum manner; i.e., common channels are separated by the minimum frequency reuse distance. Thus, a fixed channel allocation scheme perfectly satisfies condition 3 as well. However, a fixed allocation scheme does not satisfy condition 2. Philosophically, any dynamic channel allocation scheme will meet the requirements of all of the above three conditions to some degree. At the system architecture level dynamic channel allocation schemes may differ widely, but fundamentally, their only difference is in the degree to which they satisfy condition 3. Different DCA schemes attempt to satisfy condition 3 (in addition to conditions 1 and 2) by approaching the minimum frequency reuse constraint arbitrarily closely, and by doing so in as short a time period as possible. The above three conditions point to the fact that design of dynamic channel allocation schemes falls within the general class of optimization problems. Furthermore, since we can always assume that the available number of base stations is finite and the transmission resources will always be countable (due to FCC requirements if nothing else) then our problem can be reduced to the subclass of combinatorial optimization problems. As with all combinatorial optimization problems, there will exist a solution space and a cost function. A typical element of the solution space could be a particular layout of frequency channels among the base-stations. The cost function can be loosely characterized as the difference between the frequency reuse of an arbitrary solution and the frequency reuse of the optimized solution. The error associated with a non-optimized cost is realized as a future increased blocking probability or an otherwise unwarranted lack of channel availability. It is typically assumed that the solution to the wireless dynamic channel allocation problem is NP- complete [Yue, Cox - 1971]. The definition of np-completeness follows from the conjecture made in the late 1960's that there exists a class of combinatorial optimization problems of such inherent complexity that any algorithm, solving each instance of such a problem to optimality, requires a computational effort that grows super polynomially with the size of the problem. In the case of dynamic channel allocation, the complexity is generally attributed to the required inclusion of co-channel interference in any analysis of dynamic channel allocation schemes. The author is aware of one published article to date offering an analytical method (approximate) for calculating the performance of dynamic channel allocation. Recently, several approximation techniques have been proposed as methods for solving condition 3 of the dynamic channel allocation problem. In particular there has been interest in applying simulated annealing techniques [Duque-Anton] and neural network 15 | P a g e
  • 16. methods to dynamic channel allocation. Conclusion This document has been briefly discussed about the static and dynamic allocation techniques on cellular networks. These techniques have been implemented in different areas and each technique has its advantages and disadvantages. Numbers of works are going on this field so far and furthermore many researches are going to make these techniques more stable. Growing up mobile technologies must need a reliable technique to cope up with this matter. 16 | P a g e
  • 17. Bibliography This document has been created with the help of Wireless communication department paper Challenges of computing in mobile cellular environment—a survey by S. DasBit*, S. Mitra Wireless telecommunication Lab Document 17 | P a g e
  • 18. 18 | P a g e