| Description |
1 online resource (387 pages) |
| Contents |
Cover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; List of Principal Symbols; Preface; Authors; Chapter 1: Block Pulse and Related Basis Functions; 1.1 Block Pulse and Related Basis Functions; 1.2 Orthogonal Functions and Their Properties; 1.2.1 Minimization of Mean Integral Square Error (MISE); 1.2.2 Haar Functions; 1.2.3 Rademacher Functions; 1.2.4 Walsh Functions; 1.2.4.1 Relation between Walsh Functions and Rademacher Functions [11]; 1.2.4.2 Numerical Example; 1.2.5 Slant Functions; 1.2.6 Block Pulse Functions (BPF) |
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1.2.7 Relation among Haar, Walsh, and Block Pulse Functions1.2.8 Generalized Block Pulse Functions (GBPF); 1.2.8.1 Advantages of Using Generalized BPF over Conventional BPF; 1.2.9 Pulse-Width Modulated GeneralizedBlockPulseFunctions (PWM-GBPF) [23,24]; 1.2.9.1 Conversion of a GBPFSettoaPulse-WidthModulated(PWM) GBPF Set; 1.2.9.2 Principle of Representation of a Time Function via a Pulse-Width Modulated (PWM) GBPF Set; 1.2.10 Non-Optimal Block Pulse Functions (NOBPF); 1.2.11 Delayed Unit Step Functions (DUSF); 1.2.12 Sample-and-Hold Functions (SHF); 1.3 BPF in Systems and Control |
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2.2.4.1 Numerical Example2.2.5 Using Delayed Unit Step Functions (DUSF); 2.2.5.1 Numerical Example; 2.2.6 Using Sample-and-Hold Functions (SHF); 2.2.6.1 Numerical Example; 2.3 Error Analysis for Function Approximation in BPF Domain; 2.4 Conclusion; References; Study Problems; Chapter 3: Block Pulse Domain Operational Matrices forIntegration and Differentiation; 3.1 Operational Matrix for Integration [3,4,7]; 3.1.1 Nature of Integration of a Function in BPF Domain Using the Operational Matrix P [11] |
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3.1.2 Exact Integration and Operational Matrix Based Integration of a BPF Series Expanded Function3.1.3 Numerical Example; 3.2 Operational Matrices for IntegrationinGeneralized Block Pulse Function Domain; 3.2.1 Numerical Example; 3.3 Improvement of the IntegrationOperational Matrix of First Order; 3.3.1 Numerical Examples [11]; 3.4 One-Shot Operational Matrices for Repeated Integration; 3.4.1 Numerical Example; 3.5 Operational Matrix for Differentiation; 3.5.1 Numerical Example; 3.6 Operational Matrices for Differentiation inGeneralized Block Pulse Function Domain |
| Bibliography |
ReferencesStudy Problems; Chapter 2: Function Approximation via Block Pulse Function and Related Functions; 2.1 Block Pulse Functions: Properties [2]; 2.1.1 Disjointedness; 2.1.2 Orthogonality; 2.1.3 Addition; 2.1.4 Subtraction; 2.1.5 Multiplication; 2.1.6 Division; 2.2 Function Approximation; 2.2.1 Using Block Pulse Functions; 2.2.1.1 Numerical Examples; 2.2.2 Using Generalized Block Pulse Functions (GBPF) ; 2.2.2.1 Numerical Example; 2.2.3 Using Pulse-Width Modulated Generalized Block Pulse Functions (PWM-GBPF) ; 2.2.3.1 Numerical Example; 2.2.4 Using Non-Optimal Block Pulse Functions (NOBPF) |
| Notes |
3.6.1 Numerical Example |
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Print version record |
| SUBJECT |
MATLAB. http://id.loc.gov/authorities/names/n92036881
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MATLAB fast |
| Subject |
Numerical analysis -- Computer programs.
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Automatic control -- Mathematics
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Discrete-time systems -- Mathematical models
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Functions, Orthogonal.
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Automatic control -- Mathematics
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Discrete-time systems -- Mathematical models
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Functions, Orthogonal
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Numerical analysis -- Computer programs
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| Form |
Electronic book
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| Author |
Roychoudhury, Srimanti
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| ISBN |
9781351399579 |
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1351399578 |
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9781351399562 |
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135139956X |
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9781351399555 |
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1351399551 |
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9780203731291 |
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0203731298 |
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