Explain the importance of K = i2 + ij + j2

9. Explain the importance of  K =  i2 + ij + j2

For hexagonal cells i.e. with “honeycomb” cell layouts commonly used in mobile radio with possible cluster sizes are

K = i2 + ij + j2

Where i, j — Non negative integers

The integers i, j determine the relative location of co channels. The main reason for obtaining the above expression is to calculate the smallest number K which can still meet our system performance requirements. This process involves estimating co-channel interference and selecting the minimum frequency reuse distance D to reduce cochannel interference. Thus, the smallest possible value for K is 3, obtained by putting i=1,j=1 in above eq.

The nearest co-channel neighbors of a particular cell can be obtained by the following two steps

(i) Moving i cells along any chain of hexagons.

(ii) Turn 60 degrees counter-clockwise and move j cells. 

The method of locating cochannel cells in a 7-cell reuse pattern with i=2 and j=1 is shown figure