Local adaptive power control in a group of radio links

R.E.Goot, V.М.Fainstein

Holon Academic Institute of Technology

52 Golomb St., POB 305, Holon, 58102, Israel

e-mail: goot@hait.ac.il

A group of interconnected radio links, each of them performs adaptive control of radiated power, is investigated. The starting aim of the control consists in increasing of consumed energy, and it is highly actually now because of intensive growth of mobile communication systems and, in particular, communication networks. The specify of this kind of networks leads to what the each separate link is formed by two nodes, and creates interference to other ones.

    The principal of power adaptation applying to separate link was advanced just long time ago. As for group interconnection, the investigation was performed by one of the authors near thirty years ago, however at that time it did not attract an attention. Along with this, in connection to the noted above specify of mobile and especially, ad hoc networks, it again attracts an interest.

   The presented article consists in two parts. The first part wholly repeats the mentioned above former work. Her the base problem is considered – the interconnection of links in the simplest group, consisting of two members. The investigation is performed by analytical methods and its principal result is that for difficult communication conditions the ”gentlemanlike” type of the behavior provides to the members of the group more effective performance in compare with the crowd of “egoists”.  The second part was performed by the authors together. The method for investigation of the general case - interconnection in the group with several members is provides here. For this case the analytical method also is possible, however it brings to very complicate formulas, which are practically impossible to use in applications. Thus the authors turned to analytical-statistical method, when the starting model, with use of formal transformations, is reduced to more convenient for simulation form, and the investigation is completed with simulation  The natural disadvantage of this method consists in specify character of the obtained results.

  The results of the fist part are specified for the case of Rayleigh’s fading, which is typical for the treated type of systems. The simulation investigations in the second part were also performed for this case. The general result, except of quantitative computations, is that, the “gentelmanlike” behavior is more rational in comparison to “egoists” and the gain of adaptivity increases with the growth of group’s size.