Generalized Frequency Re-use Ratio for Uniform and Non-uniform Cell Range in Telecommunication Network Design
Elvis K. Donkoh *
Department of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani, Ghana.
James Adu Ansere
Department of College of Internet of Things, Hohai University, China.
Samuel G. Apau
Department of Health Care Management, Boitekanelo College, Botswana.
*Author to whom correspondence should be addressed.
Abstract
GSM network design requires efficient interference management technique, which offers significant capacity enhancement and improves cell edge coverage with low complexity of implementation. This is done by assigning different frequencies to adjacent cells to avoid interference or cross talk. Random assignment of these frequencies is quite herculean and inefficient for huge number of cells. This paper proposed a formula for assigning frequencies for uniform 
cell range and extends it to non-uniform 
cell range in cell planning. Also, we obtain a functional relationship between the apothem and the circumradius as well as the inner and outer angle and deduce that hexagonal tessellation offers the best radius and angular relationship in GSM cell planning.
Keywords: Frequency re-use, GSM, hexagons, overlap difference