Group 1
Group 1
Group 1
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The total bandwidth for the system is C times the bandwidth occupied by a single cell
For hexagonal cells, i.e., with 'honeycomb' cell lay-outs commonly used in mobile
radio, possible cluster sizes are C = i2 + ij + j2, with integer i and j (C = 1, 3, 4, 7, 9, ..).
Integers i and j determine the relative location of co-channel cells.
D = minimum distance between centers of cells that use the same band of frequencies
(called co-channels)
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R = radius of a cell
N = number of cells in repetitious pattern (Cluster) ¾ Reuse factor ¾ Each cell in pattern
uses unique band of frequencies
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1.3 Cell size
Even though the number of cells in a cluster in a cellular system can help govern the number of
users that can be accommodated, by making all the cells smaller it is possible to increase the overall
capacity of the cellular system. However a greater number of transmitter receiver or base stations
are required if cells are made smaller and this increases the cost to the operator. Accordingly in
areas where there are more users, small low power base stations are installed.
Features of Cellular Systems
Wireless Cellular Systems solves the problem of spectral congestion and increases user capacity.
The features of cellular systems are as follows −
Offer very high capacity in a limited spectrum.
Reuse of radio channel in different cells.
Enable a fixed number of channels to serve an arbitrarily large number of users by
reusing the channel throughout the coverage region.
Communication is always between mobile and base station (not directly between
mobiles).
Each cellular base station is allocated a group of radio channels within a small
geographic area called a cell.
Neighboring cells are assigned different channel groups.
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By limiting the coverage area to within the boundary of the cell, the channel groups
may be reused to cover different cells.
Keep interference levels within tolerable limits.
Frequency reuse or frequency planning.
Organization of Wireless Cellular Network.
Cellular network is organized into multiple low power transmitters each 100w or less.
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Cellular network designing using matlab code and using the following parameters
(APPENDIX A)
Radius= 500 m
Number of cluster = 7
Sector=120 degrees
Result
Propagation Models
A common model approach is to assume the propagation model consists of a random component
and non-random (or deterministic) component. The deterministic component seeks to capture how
a signal decays or attenuates as it travels a medium such as air, which is done by introducing a
path-loss or attenuation function. A common choice for the path-loss function is a simple power-
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law. For example, if a signal travels from point x to point y, then it decays by a factor given by the
path-loss function.
L(|x-y|) = |x-y|^a
Where; a = the path-loss exponent, α>2,
|x-y| = the distance between point y of the user and the signal source at point x.
Although this model suffers from a singularity (when x=y), its simple nature results in it often
being used due to the relatively tractable models it gives. Exponential functions are sometimes
used to model fast decaying signal.
From different types of propagation model we selected hata model for our work:-
𝑃𝐿,𝑢𝑟𝑏𝑎𝑛 (𝑑)𝑑𝐵 = 69.55 + 26.16 log10 (𝑓𝑐 ) − 13.82 log10 (ℎ𝑡 ) − 𝑎(ℎ𝑟 )
+ (44.9 − 6.55 log10 (ℎ𝑡 )) log10 (𝑑) + 𝐶𝑚,𝑢𝑟𝑏𝑎𝑛
Where; 𝐶𝑚,𝑢𝑟𝑏𝑎𝑛 = correction factor for urban environment and taken as 12.
Limitations
Though based on the Okumura model [4], the Hata model does not provide coverage to the whole
range of frequencies covered by Okumura model. Hata model does not go beyond 1500 MHz while
Okumura provides support for up to 1920 MHz
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COST-231 Model
Most future Personal Communications Services (PCS) systems are expected to operate in the 1800-
2000 MHz frequency band. It has been shown that path loss can be more dramatic at these
frequencies than those in the 900 MHz range. Some studies have suggested that the path loss
experienced at 1845 MHz is approximately 10 dB larger than those experienced at 955 MHz, all
other parameters being kept constant. The COST231-Hata model extends Hata's model for use in
the 1500-2000 MHz frequency range, where it is known to underestimate path loss.
This model is expressed in terms of the following parameters
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Result for COST231 for different base station. (Appendix b)
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Appendix A
#code
clc
Clear all
r= 500;
a=100; % the x coordinate of the initial base station
b=100; % the y coordinate of the initial cell
Pause (1);
t=0: pi/3:2*pi;
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pause(1);
hold on;
x2=a;
y2=b+sqrt(3)*r;
x4=x2+r*cos(t);
y4=y2+r*sin(t);
plot(x4,y4,'k')
axis square
hold on;
pause(1);
t=0:pi/3:2*pi;
x2=a-(r+(r/2));
y2=b+sqrt(3)*(r/2);
x3=x2+r*cos(t);
y3=y2+r*sin(t);
plot(x3,y3,'g')
axis square
hold on;
pause(1);
x2=a-(r+(r/2));
y2=b-sqrt(3)*(r/2);
x3=x2+r*cos(t);
y3=y2+r*sin(t);
plot(x3,y3,'m')
axis square
hold on;
pause(1);
t=0:pi/3:2*pi;
x=a+r*cos(t);
y=b+r*sin(t);
fill(x,y,'r')
axis square
hold on
pause(1);
t=0:pi/3:2*pi;
x2=a+(r+(r/2));
y2=b+sqrt(3)*(r/2);
x3=x2+r*cos(t);
y3=y2+r*sin(t);
fill(x3,y3,'c')
axis square
hold on;
pause(1);
x2=a+(r+(r/2));
y2=b-sqrt(3)*(r/2);
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x3=x2+r*cos(t);
y3=y2+r*sin(t);
fill(x3,y3,'b')
axis square
hold on;
pause(1);
x2=a;
y2=b-sqrt(3)*r;
x4=x2+r*cos(t);
y4=y2+r*sin(t);
fill(x4,y4,'y')
axis square
pause(1);
hold on;
x2=a;
y2=b+sqrt(3)*r;
x4=x2+r*cos(t);
y4=y2+r*sin(t);
fill(x4,y4,'k')
axis square
hold on;
pause(1);
t=0:pi/3:2*pi;
x2=a-(r+(r/2));
y2=b+sqrt(3)*(r/2);
x3=x2+r*cos(t);
y3=y2+r*sin(t);
fill(x3,y3,'g')
axis square
hold on;
pause(1);
x2=a-(r+(r/2));
y2=b-sqrt(3)*(r/2);
x3=x2+r*cos(t);
y3=y2+r*sin(t);
fill(x3,y3,'m')
axis square
hold on;
pause(1);
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Appendix B
MATLAB code for COST231
%COST231 Model 3
clc;
close all;
clear all;
d = 1:0.01:20;
hr = 5;
ht1 = 35;
ht2 = 125;
ht3 = 150;
fc = 2000;
% a. For Large Cities
% fc >= 1500MHz
ahr = 3.2*(log10(11.75*hr)).^2 - 4.97;
% A. Typical Urban
L50urban1 = 46.3 + 33.9*log10(fc) + (44.9 - 6.55*log10(ht1))*log10(d) -
13.82*log10(ht1) - ahr;
L50urban2 = 46.3 + 33.9*log10(fc) + (44.9 - 6.55*log10(ht2))*log10(d) -
13.82*log10(ht2) - ahr;
L50urban3 = 46.3 +33.9*log10(fc) + (44.9 - 6.55*log10(ht3))*log10(d) -
13.82*log10(ht3) - ahr;
% B. Typical Suburban
L50suburban1 = L50urban1 - 2*(log10(fc/28)).^2 - 5.4;
L50suburban2 = L50urban2 - 2*(log10(fc/28)).^2 - 5.4;
L50suburban3 = L50urban3 - 2*(log10(fc/28)).^2 - 5.4;
% C. Typical Rural
L50rural1 = L50urban1 - 4.78*(log10(fc)).^2 + 18.33*log10(fc) - 40.94;
L50rural2 = L50urban2 - 4.78*(log10(fc)).^2 + 18.33*log10(fc) - 40.94;
L50rural3 = L50urban3 - 4.78*(log10(fc)).^2 + 18.33*log10(fc) - 40.94;
figure(1);
plot(d, L50urban1, 'r',d, L50urban2, '--r', d, L50urban3,':r');
hold on;
plot(d, L50suburban1, 'b', d, L50suburban2, '--b', d, L50suburban3, ':b');
hold on;
plot(d, L50rural1, 'g', d, L50rural2, '--g', d, L50rural3, ':g');
hold on;
legend('urban ht1=35', ' urban ht2=125', ' urban ht3=150','suburban ht1=35',
'suburban ht2=125', 'suburban ht3=150', 'rural ht1=35','rural ht2=125','rural
ht3=150');
grid on;
xlabel('distance [km]');
ylabel('path Loss in [dB]');
title('COST231 Model for different base station antenna ht.');
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Reference
[1 ] https://morse.colorado.edu/~tlen5510/text/classwebch2.html
[2] JPL's Wireless Communication Reference Website © 1993, 1995, 1997
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