Mathematical foundations for signal processing, communications, and networking
著者
書誌事項
Mathematical foundations for signal processing, communications, and networking
CRC Press, c2012
- : hardback
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Mathematical Foundations for Signal Processing, Communications, and Networking describes mathematical concepts and results important in the design, analysis, and optimization of signal processing algorithms, modern communication systems, and networks. Helping readers master key techniques and comprehend the current research literature, the book offers a comprehensive overview of methods and applications from linear algebra, numerical analysis, statistics, probability, stochastic processes, and optimization.
From basic transforms to Monte Carlo simulation to linear programming, the text covers a broad range of mathematical techniques essential to understanding the concepts and results in signal processing, telecommunications, and networking. Along with discussing mathematical theory, each self-contained chapter presents examples that illustrate the use of various mathematical concepts to solve different applications. Each chapter also includes a set of homework exercises and readings for additional study.
This text helps readers understand fundamental and advanced results as well as recent research trends in the interrelated fields of signal processing, telecommunications, and networking. It provides all the necessary mathematical background to prepare students for more advanced courses and train specialists working in these areas.
目次
Introduction. Signal Processing Transforms. Linear Algebra. Elements of Galois Fields. Numerical Analysis. Combinatorics. Probability, Random Variables, and Stochastic Processes. Random Matrix Theory. Large Deviations. Fundamentals of Estimation Theory. Fundamentals of Detection Theory. Monte Carlo Methods for Statistical Signal Processing. Factor Graphs and Message Passing Algorithms. Unconstrained and Constrained Optimization Problems. Linear Programming and Mixed Integer Programming. Majorization Theory and Applications. Queueing Theory. Network Optimization Techniques. Game Theory. A Short Course on Frame Theory. Index.
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