کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4974145 1365520 2017 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An exact closed-form formula of collision probability in diverse multiple access communication systems with frame slotted aloha protocol
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر پردازش سیگنال
پیش نمایش صفحه اول مقاله
An exact closed-form formula of collision probability in diverse multiple access communication systems with frame slotted aloha protocol
چکیده انگلیسی
For diverse multiple access communication systems based on frame slotted aloha (FSA) protocol, it is important to analyze collision probability for the system performance evaluation. As shown in the literature, for general settings, it is difficult to derive an exact and closed-form solution for collision probability without approximation. Recently, an exact solution based on generic analytical approach (GAA) [31] has been proposed, yet its numerical computation will become difficult when the number of slots is larger than 16. In this paper, we develop an exact closed-form formula (ECFF) for collision probability that can not only overcome the computational deficiency of GAA in the presence of a large number of slots, but also reduce the computation complexity of collision probability. Surprisingly, by introducing a differentiation operator to form a hybrid recursive equation and applying various algebraic properties of Laplace transform and Z transform, the final collision probability can be represented by a compact double summation. Accuracy of the ECFF and comparison with the GAA have been studied by Monte Carlo simulation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the Franklin Institute - Volume 354, Issue 13, September 2017, Pages 5739-5752
نویسندگان
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