Prove that for hexagonal geometry the co-channel reuse ratio is given by Q=√3N

11. Prove that for hexagonal geometry the co-channel reuse ratio is given by Q=√3N

Cochannel Reuse Ratio: Let us consider that the radius of each cell be ‘R’, the distance between center of adjacent cells is d and he distance between center of cochannel cells is ‘D’ for an hexagonal geometry.

Then figure (2) shows the most convenient set of Coordinates for hexagonal geometry. The positive halves of the two axes intersect at a 60 angle and the Unit distance along any of the axis equals the cell radius.

The radius is defined as the distance from the center of a cell to any of its vertices. Based on this, the center of each cell falls on a point specified by a pair of integer coordinates.