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Cellular Systems Cellular Concepts The cellular concept was a ...

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EE5401 <strong>Cellular</strong> Mobile Communications<br />

EE5401 <strong>Cellular</strong> Mobile Communications<br />

R<br />

R<br />

R<br />

2<br />

2<br />

2<br />

Atri = 1.3R<br />

Asq<br />

= 2.0R<br />

Ahex<br />

= 2.6R<br />

• Interference tier : A set of co-channel cells at the same<br />

distance from the reference cell is called an<br />

interference tier. <strong>The</strong> set of closest co-channel cells is<br />

call the first tier. <strong>The</strong>re is always 6 co-channel cells in<br />

the first tier.<br />

• Hence, a conventional <strong>cellular</strong> layout is often defined<br />

by a uniform grid of regular hexagons.<br />

Frequency reuse :<br />

• A <strong>cellular</strong> system which has a total of S duplex<br />

channels.<br />

• S channels are divided among N cells, with each cell<br />

uses unique and disjoint channels.<br />

• If each cell is allocated a group of k channels, then<br />

S = kN .<br />

<br />

Co-ordinates for hexagonal <strong>cellular</strong> geometry<br />

• With these co-ordinates, an array of cells can be laid<br />

out so that the center of every cell falls on a point<br />

specified by a pair of integer co-ordinates.<br />

<br />

Terminology<br />

• Cluster size : <strong>The</strong> N cells which collectively use the<br />

complete set of available frequency is called the<br />

cluster size.<br />

• Co-channel cell : <strong>The</strong> set of cells using the same set of<br />

frequencies as the target cell.<br />

If ( ∆ u , ∆v)<br />

= ( i,<br />

j)<br />

, i,j are known as the shift<br />

parameters, then the distance between the two cell<br />

centres is given by<br />

2<br />

2<br />

D = i + j + ij ⋅ 3R<br />

(Cosine’s Rule)<br />

Institute for Infocomm Research 45 National University of Singapore<br />

Institute for Infocomm Research 46 National University of Singapore

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