A basis for 3-D cellular networks

We propose to extend the standard concept of planar cellular networks into space. Indeed, in cellular networks the trend is to have a smaller cells to meet the growing number of communication services. The smaller the cells, the more important is the third dimension because this model is more efficient. So, it is better to take the height into account. For instance, to create a cellular network in a building, it makes no sense to have a planar cellular network. It would be better to have antennas placed in the three dimensions. This paper presents some explanations about the reason why hexagons tessellation are used in the theory of cellular networks. It describes the 3-D cellular networks used for this work and also discusses the frequency reuse mechanism and channel allocation schemes.

[1]  V. H. Mac Donald,et al.  Advanced mobile phone service: The cellular concept , 1979, The Bell System Technical Journal.

[2]  W. K. Hale.  Frequency assignment: Theory and applications , 1980, Proceedings of the IEEE.

[3]  William C. Y. Lee,et al.  Mobile Cellular Telecommunications Systems , 1989 .

[4]  Davood Molkdar,et al.  Review on radio propagation into and within buildings , 1991 .

[5]  H. Coxeter,et al.  Regular Complex Polytopes , 1991 .

[6]  H. Hashemi,et al.  The indoor radio propagation channel , 1993, Proc. IEEE.

[7]  Uyless Black.  Mobile and wireless networks , 1996 .

[8]  Theodore S. Rappaport,et al.  Wireless communications - principles and practice , 1996 .

[9]  Ivan Stojmenovic,et al.  Honeycomb Networks: Topological Properties and Communication Algorithms , 1997, IEEE Trans. Parallel Distributed Syst..

[10]  Jean Frédéric Myoupo,et al.  All-to-All Broadcasting Algorithms on Honeycomb Networks and Applications , 1999, Parallel Process. Lett..

[11]  Paul G. Spirakis,et al.  Fundamental distributed protocols in mobile networks , 1999, PODC '99.

[12]  Jean Carle.  A Simple and Efficient One-to-all Broadcasting Algorithm for Honeycomb Networks , 1999, PDPTA.

[13]  Jean Carle,et al.  Topological properties and optimal routing algorithms for three dimensional hexagonal networks , 2000, Proceedings Fourth International Conference/Exhibition on High Performance Computing in the Asia-Pacific Region.

[14]  Mahmoud Naghshineh,et al.  Channel assignment schemes for cellular mobile telecommunication systems: A comprehensive survey , 2000, IEEE Communications Surveys & Tutorials.