Wireless Networking [MakeGreatMusic net]

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In wireless networks, the resources are typically spectrum, time, and power. That theme pervades much of this book in our quest for models for performance analysis, for developing design insights, and also for exploring the fundamental limits. Once a problem has been analytically formulated, we draw upon a wide variety of techniques to analyze it. In this process we will use techniques drawn from, among others, probability theory, stochastic processes, constrained optimization and duality, and graph theory. We believe it is necessary to make forays into these areas in order to bring their power to bear on the problem at hand. However, we have tempted to make the book as self-contained as possible. Wherever possible, we have used only elementary concepts taught in basic courses in engineering mathematics. A brief overview of most of the advanced mathematical material that we use is provided in the appendix. Also, wherever possible we have avoided the theorem–proof approach. Instead, we have developed the theorems or results and then formally stated them.








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