Abstract
Nowadays, the number of mobile subscribers has increased significantly. It is predicted that the number of subscribers will reach 9.5 billion by 2020. With such rapid growth, telecommunications networks suffer from several problems, such as lack of bandwidth, the occurrence of collisions and interference. To cope with the problems, it was proposed to fill the lack of the licensed spectrum with an unlicensed frequency bands. However with this approach, it is necessary to provide fair coexistence in the unlicensed band with existing users. The use of LTE - LAA technology is designed to solve this problem. The paper builds an analytical model of the LAA work scheme using a discrete time Markov process, which provides a probabilistic estimate of the collision and data transmission probabilities. This work also outlines all the principles and specifications necessary to describe the functioning of the model. A description of the LBT mechanism for the unlicensed spectrum is given. After analytically obtained expressions for collision and transmission probabilities, numerical results are presented.
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