Random-set theory and wireless communications
Author(s)
Bibliographic Information
Random-set theory and wireless communications
（Foundations and trends [TM] in communications and information theory, 7:4）
Now Publishers, c2012
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Note
Includes bibliographical references (p. 145-151)
Description and Table of Contents
Description
Random-Set Theory and Wireless Communications is an important and comprehensive survey of how to use Random Set Theory in the design of future wireless communication systems.
This monograph is devoted to random-set theory, which allows unordered collections of random elements, drawn from an arbitrary space, to be handled. After illustrating its foundations, the authors focus on Random Finite Sets, i.e., unordered collections of random cardinality of points from an arbitrary space, and show how this theory can be applied to a number of problems arising in wireless communication systems. Three of these problems are:
(1) Neighbour discovery in wireless networks.
(2) Multiuser detection in which the number of active users is unknown and time-varying.
(3) Estimation of multipath channels where the number of paths is not known a priori and which are possibly time-varying.
Standard solutions to these problems are intrinsically suboptimum as they proceed either by assuming a fixed number of vector components, or by first estimating this number and then the values taken on by the components. It is shown how random-set theory provides optimum solutions to all these problems. The complexity issue is also examined, and suboptimum solutions are presented and discussed.
Table of Contents
1. Solving estimation problems where you do not know the number of things you do not know 2. An ingineering introduction 3. The complexity problem and some solutions 4. Multiuser detection 5. Channel estimation 6. Concluding remarks. A. Mathematical aspects of random-set theory. B. Relation to point processes. C. Relation to Dempster-Shafer theory. References. Acronyms and Notations
by "Nielsen BookData"