This book focuses on key simulation and evaluation technologies for 5G systems. Based on the most recent research results from academia and industry, it describes the evaluation methodologies in depth for network and physical layer technologies. The evaluation methods are discussed in depth. It also covers the analysis of the 5G candidate technologies and the testing challenges, the evolution of the testing technologies, fading channel measurement and modeling, software simulations, software hardware cosimulation, field testing and other novel evaluation methods. The fifth-generation (5G) mobile communications system targets highly improved network performances in terms of the network capacity and the number of connections. Testing and evaluation technologies is widely recognized and plays important roles in the wireless technology developments, along with the research on basic theory and key technologies. The investigation and developments on the multi-level and comprehensive evaluations for 5G new technologies, provides important performance references for the 5G technology filtering and future standardizations. Students focused on telecommunications, electronic engineering, computer science or other related disciplines will find this book useful as a secondary text. Researchers and professionals working within these related fields will also find this book useful as a reference.

This book uses the monographic study of litigation subjects, prosecution, trial, and enforcement to reveal the formation, operation, and development of criminal proceeding conventions in the Tang Dynasty. It also outlines the combination, coordination, and interaction of rules, conventions, and ideas in the traditional Chinese legal system, and presents an overview of the evolution and development of traditional litigation in China. This book is intended mainly for scholars and graduate and undergraduate students in the fields of law and Chinese history.

This book focuses on key simulation and evaluation technologies for 5G systems. Based on the most recent research results from academia and industry, it describes the evaluation methodologies in depth for network and physical layer technologies. The evaluation methods are discussed in depth. It also covers the analysis of the 5G candidate technologies and the testing challenges, the evolution of the testing technologies, fading channel measurement and modeling, software simulations, software hardware cosimulation, field testing and other novel evaluation methods. The fifth-generation (5G) mobile communications system targets highly improved network performances in terms of the network capacity and the number of connections. Testing and evaluation technologies is widely recognized and plays important roles in the wireless technology developments, along with the research on basic theory and key technologies. The investigation and developments on the multi-level and comprehensive evaluations for 5G new technologies, provides important performance references for the 5G technology filtering and future standardizations. Students focused on telecommunications, electronic engineering, computer science or other related disciplines will find this book useful as a secondary text. Researchers and professionals working within these related fields will also find this book useful as a reference.

The first chapter lists the basic results of orthogonal polynomials, Jacobi, Laguerre, and Hermite polynomials, and collects some frequently used theorems and formulas. As a base and useful tool, the representation and quantitative theory of Hermite interpolation is the subject of Chapter 2. The theory of power orthogonal polynomials begins in Chapter 3: existence, uniqueness, Characterisations, properties of zeros, and continuity with respect to the measure and the indices are all considered. Chapter 4 deals with Gaussian quadrature formulas and their convergence. Chapter 5 is devoted to the theory of Christo (R)el type functions, which are related to Gaussian quadrature formulas and is one of the important contents of power orthogonal polynomials. The explicit representation of power orthogonal polynomials is an interesting problem and is discussed in Chapter 6. Chapter 7 is a detailed treatment of zeros in power orthogonal polynomials. Chapter 8 is devoted to bounds and inequalities of power orthogonal polynomials. In Chapters 9 and 10 we study asymptotics of general polynomials and power orthogonal polynomials, respectively. In Chapter 11 we discuss convergence of power orthogonal series, Lagrange and Hermite interpolation, and two positive operators constructed by power orthogonal polynomials. In Chapter 12 we investigate Gaussian quadrature formulas for extended Chebyshev spaces. In Chapter 13 we give construction methods for power orthogonal polynomials and Gaussian quadrature formulas; we also provide numerical results and numerical tables.