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Channel Characterization and Modeling for Vehicular Communications / / by Xiang Cheng, Ziwei Huang, Lu Bai
Channel Characterization and Modeling for Vehicular Communications / / by Xiang Cheng, Ziwei Huang, Lu Bai
Autore Cheng Xiang
Edizione [1st ed. 2024.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Springer, , 2024
Descrizione fisica 1 online resource (197 pages)
Disciplina 621.382
Altri autori (Persone) HuangZiwei
BaiLu
Collana Wireless Networks
Soggetto topico Telecommunication
Cooperating objects (Computer systems)
Transportation engineering
Traffic engineering
Computer networks
Communications Engineering, Networks
Cyber-Physical Systems
Transportation Technology and Traffic Engineering
Computer Communication Networks
ISBN 3-031-47440-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Chapter 1. Introduction of Vehicular Communications -- Chapter 2. A NGSM for SISO V2V Channels -- Chapter 3. A 3D RS-GBSM with Uniform Planar Antenna Array for Massive MIMO V2V Channels -- Chapter 4. A 3D IS-GBSM for Massive MIMO V2V Channels -- Chapter 5. A 3D IS-GBSM with Continuously Arbitrary Trajectory for mmWave Massive MIMO V2V Channels -- Chapter 6. A 3D Mixed-Bouncing IS-GBSM with Time-Space Consistency for mmWave Massive MIMO V2V Channels -- Chapter 7. Conclusions and Future Research Directions.
Record Nr. UNINA-9910767533603321
Cheng Xiang  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2024
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Fractional Calculus : High-Precision Algorithms and Numerical Implementations
Fractional Calculus : High-Precision Algorithms and Numerical Implementations
Autore Xue Dingyü
Edizione [1st ed.]
Pubbl/distr/stampa Singapore : , : Springer, , 2024
Descrizione fisica 1 online resource (413 pages)
Altri autori (Persone) BaiLu
ISBN 981-9920-70-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Preface -- Contents -- 1 Introduction to Fractional Calculus -- Dingyü Xue 慮搠 Lu Bai -- 1.1 Historic Review of Fractional Calculus -- 1.2 Fractional Calculus Phenomena and Modeling Examples in Nature -- 1.3 Historic Review of Fractional Calculus Computations -- 1.3.1 Numerical Computing in Fractional Calculus -- 1.3.2 Numerical Computing in Fractional-Order Ordinary Differential Equations -- 1.3.3 Numerical Computing in Fractional-Order Partial Differential Equations -- 1.4 Tools in Fractional Calculus and Fractional-Order Control -- 1.5 Structures in the Book -- 1.5.1 Main Contents -- 1.5.2 Reading Suggestions -- References-8pt -- 2 Commonly Used Special Functions: Definitions and Computing -- Dingyü Xue 慮搠 Lu Bai -- 2.1 Error and Complementary Error Functions -- 2.2 Gamma Functions -- 2.2.1 Definition and Properties of Gamma Functions -- 2.2.2 Complex Gamma Functions -- 2.2.3 Other Forms of Gamma Functions -- 2.2.4 Incomplete Gamma Functions -- 2.3 Beta Functions -- 2.3.1 Definition and Properties of Beta Functions -- 2.3.2 Complex Beta Functions -- 2.3.3 Incomplete Beta Functions -- 2.4 Dawson Functions -- 2.5 Hypergeometric Functions -- 2.6 Mittag-Leffler Functions -- 2.6.1 One-Parameter Mittag-Leffler Functions -- 2.6.2 Two-Parameter Mittag-Leffler Functions -- 2.6.3 Multi-Parameter Mittag-Leffler Functions -- 2.6.4 The Relationship Between Mittag-Leffler and Hypergeometric Functions -- 2.6.5 Derivatives of Mittag-Leffler Functions -- 2.6.6 Numerical Evaluation of Mittag-Leffler Functions and Their Derivatives -- 2.7 Exercises -- References-8pt -- 3 Definitions and Numerical Evaluations of Fractional Calculus -- Dingyü Xue 慮搠 Lu Bai -- 3.1 Fractional-Order Integral Formula -- 3.1.1 Cauchy Integral Formula -- 3.1.2 Derivative and Integral Formulas for Commonly Used Functions.
3.2 Definition and Numerical Evaluation of Grünwald-Letnikov Integrals and Derivatives -- 3.2.1 Formulations in High-Order Integer-Order Derivatives -- 3.2.2 Definition of Grünwald-Letnikov Fractional-Order Derivatives -- 3.2.3 Numerical Evaluation of Grünwald-Letnikov Fractional-Order Derivatives and Integrals -- 3.2.4 Podlubny's Matrix Algorithm -- 3.2.5 Exploring Short-Time Memory Effects -- 3.3 Definition and Evaluation of Riemann-Liouville Derivatives and Integrals -- 3.3.1 High-Order Integer-Order Integral Formulas -- 3.3.2 Definitions of Riemann-Liouville Fractional-Order Derivatives and Integrals -- 3.3.3 Riemann-Liouville Derivative and Integral Formulas for Commonly Used Functions -- 3.3.4 Initial Time Translation Properties -- 3.3.5 Numerical Evaluation of Riemann-Liouville Derivatives and Integrals -- 3.3.6 Symbolic Computing in Riemann-Liouville Derivatives -- 3.4 Caputo Fractional Calculus Definition -- 3.4.1 Definition of Caputo Derivatives and Integrals -- 3.4.2 Commonly Used Caputo Derivative Formulas -- 3.4.3 Symbolic Computing in Caputo Calculus -- 3.5 The Relationship Among Different Fractional Calculus Definitions -- 3.5.1 The Relationship Between Grünwald-Letnikov and Riemann-Liouville Definitions -- 3.5.2 The Relationship Between Caputo and Riemann-Liouville Definitions -- 3.5.3 Numerical Evaluations of Caputo Derivatives and Integrals -- 3.6 Properties and Geometrical Interpretations of Fractional Calculus -- 3.6.1 Properties of Fractional Calculus -- 3.6.2 Geometrical Interpretations of Fractional Integrals -- 3.7 Exercises -- References-8pt -- 4 High-Precision Numerical Algorithms and Implementation in Fractional Calculus -- Dingyü Xue 慮搠 Lu Bai -- 4.1 Generating Function Construction for Arbitrary Integer Orders -- 4.2 Trials on High-Precision Algorithms for Grünwald-Letnikov Derivatives -- 4.2.1 An FFT-Based Algorithm.
4.2.2 A Recursive Formula for Generating Function Coefficients -- 4.3 High-Precision Algorithm and Implementation for Grünwald-Letnikov Definition -- 4.3.1 Decomposition and Compensation for Nonzero Initial Value Functions -- 4.3.2 High-Precision Algorithm and Its Implementation -- 4.3.3 Testing and Assessment of the Algorithms -- 4.3.4 Revisit to the Matrix Algorithm -- 4.4 High-Precision Algorithm for Caputo Derivatives -- 4.4.1 The Algorithm and Its Implementation -- 4.4.2 Testing and Assessment of the Algorithm -- 4.4.3 Solutions of a Benchmark Problem -- 4.5 Computing of Higher Fractional-Order Derivatives -- 4.5.1 High-Precision Algorithms for Higher Integer-Order Derivatives -- 4.5.2 Computing of Higher Fractional-Order Derivatives -- 4.6 Exercises -- References-8pt -- 5 Approximations of Fractional-Order Operators and Systems -- Dingyü Xue 慮搠 Lu Bai -- 5.1 Representation and Analysis of Linear Integer-Order Models -- 5.1.1 Mathematical Model Input and Manipulations -- 5.1.2 Time and Frequency Domain Responses -- 5.1.3 Modeling and Analysis of Linear Fractional-Order Systems -- 5.2 Some Approximation Methods with Continued Fractions -- 5.2.1 Continued Fraction Approximation -- 5.2.2 Carlson Approximation -- 5.2.3 Matsuda-Fujii Approximation -- 5.2.4 The Relationship between Fitting Quality and Filter Parameters -- 5.3 Oustaloup Filter Approximations -- 5.3.1 Oustaloup Filter -- 5.3.2 An Improved Oustaloup Filter -- 5.4 Integer-Order Approximation of FOTFs -- 5.4.1 High-Order Approximation of FOTFs -- 5.4.2 Reduction of Fractional-Order Models -- 5.5 Approximation of Irrational Fractional-Order Transfer Functions -- 5.5.1 Approximation of Implicit Irrational Models -- 5.5.2 Frequency Response Fitting Methods -- 5.5.3 Charef Approximation -- 5.5.4 Optimum Charef Filter Design for Complicated Irrational Models.
5.6 Discrete Filter Approximations -- 5.6.1 FIR Filter Approximation -- 5.6.2 IIR Filter Approximation -- 5.6.3 Discrete Filters for Step and Impulse Response Invariants -- 5.7 Exercises -- References-8pt -- 6 Analytical and Numerical Solutions of Linear Fractional-Order Differential Equations -- Dingyü Xue 慮搠 Lu Bai -- 6.1 Introduction to Linear Fractional-Order Differential Equations -- 6.1.1 The General Form of Linear Fractional-Order Differential Equations -- 6.1.2 Initial Value Problems of Fractional-Order Derivatives Under Different Definitions -- 6.1.3 An Important Laplace Transform Formula -- 6.2 Analytical Solutions of Some Linear FODEs -- 6.2.1 One-Term FODEs -- 6.2.2 Two-Term FODEs -- 6.2.3 Three-Term FODEs -- 6.2.4 General n-Term FODEs -- 6.3 Analytical Solutions of Linear Commensurate-Order FODEs -- 6.3.1 The General Form of Linear Commensurate-Order Differential Equations -- 6.3.2 Some Commonly Used Laplace Transform Formulas for Linear FODEs -- 6.3.3 Analytical Solutions of Linear Commensurate-Order Differential Equations -- 6.4 A Closed-Form Algorithm for Linear FODEs with Zero Initial Conditions -- 6.4.1 A Closed-Form Algorithm -- 6.4.2 Impulse Responses of Linear FODEs -- 6.4.3 Validating Numerical FODE Solutions -- 6.4.4 A Matrix-Based Algorithm -- 6.4.5 A High-Precision Closed-Form Algorithm -- 6.5 Numerical Solutions of Caputo Equations with Nonzero Initial Conditions -- 6.5.1 Mathematical Descriptions of Caputo Equations -- 6.5.2 Taylor Axillary Functions -- 6.5.3 High-Precision Algorithm for Caputo Equations -- 1. Equivalent Initial Condition Problem -- 2. High-Precision Algorithm for the FODEs -- 6.6 Solutions of Linear Fractional-Order State Space Models -- 6.6.1 State Space Descriptions of Linear FODEs -- 6.6.2 State Transition Matrix -- 6.6.3 Commensurate-Order State Space Models.
6.7 Numerical Solutions of Irrational Differential Equations -- 6.7.1 Descriptions of Irrational Transfer Functions -- 6.7.2 Solutions Based on Numerical Laplace Inverse Transform -- 6.7.3 Time Response Computing of Closed-Loop Irrational Systems -- 6.7.4 Time Responses Under Arbitrary Input Signals -- 6.8 Stability Assessment of Linear Fractional-Order Systems -- 6.8.1 Stability Assessment of Linear Commensurate-Order Systems -- 6.8.2 Stability Assessment of Non-Commensurate-Order Systems -- 6.8.3 Stability Assessment of Irrational Systems -- 6.9 Exercises -- References-8pt -- 7 Numerical Solutions of Nonlinear FODEs -- Dingyü Xue 慮搠 Lu Bai -- 7.1 Descriptions of FODEs -- 7.1.1 General form of FODEs -- 7.1.2 Commensurate-Order State Space Models -- 7.1.3 Extended State Space Models -- 7.2 Numerical Solutions of Nonlinear Caputo Equations -- 7.2.1 Numerical Solutions of Scalar Commensurate-Order Equations -- 7.2.2 Solutions of Commensurate-Order Caputo Equations -- 7.2.3 Numerical Solutions of Extended FOSS Models -- 7.2.4 An Algebraic Equation-Based FODE Solver -- 7.3 High-Precision Algorithm for Caputo Equations -- 7.3.1 Predictor Equation -- 7.3.2 Corrector Solution Method -- 7.4 Exercises -- References-8pt -- 8 Block Diagram-Based Solutions of FODEs -- Dingyü Xue 慮搠 Lu Bai -- 8.1 Introduction of FOTF Toolbox and Blockset -- 8.1.1 Input and Connections of Fractional-Order Transfer Functions -- 8.1.2 Fractional-Order State Space Models -- 8.1.3 Analysis Functions for Linear Fractional-Order Systems -- 8.1.4 The FOTF Blockset -- 8.2 Block Diagram-Based Solutions of FODEs with Zero Initial Conditions -- 8.2.1 Simulink Modeling Rules -- 8.2.2 Simulink Environment Settings -- 1. Solver Parameters Setting -- 2. Input and Output Format Setting -- 8.2.3 Simulink Modeling and Solutions for FODEs.
8.2.4 Validations of Numerical Solutions for Nonlinear FODEs.
Record Nr. UNINA-9910855383603321
Xue Dingyü  
Singapore : , : Springer, , 2024
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui