Sampling in Digital Signal Processing and Control / by Arie Feuer, Graham C. Goodwin
(Systems & Control: Foundations & Applications)
データ種別 | 電子ブック |
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出版情報 | Boston, MA : Birkhäuser Boston , 1996 |
本文言語 | 英語 |
大きさ | XXXII, 544 p : online resource |
書誌詳細を非表示
内容注記 | 1 Fourier Analysis 1.1 Introduction 1.2 The Basic Transforms 1.3 Properties of Continuous-Time Fourier Transforms 1.4 Properties of Discrete-Time Fourier Transforms 1.5 The ? — Impulse Stream 1.6 Inter-relating the Various Transforms 1.7 Special Topics 1.8 Further Reading and Discussion 1.9 Problems 2 Sampling and Reconstruction 2.1 Introduction 2.2 Sampled Data Sequences — A Representation of Continuous Signals 2.3 Continuous Signal Reconstruction from a Sampled Data Sequence 2.4 Shannon’ s Reconstruction Theorem 2.5 Practical Methods of Reconstruction 2.6 Signal Reconstruction from Periodic Samples 2.7 Further Reading and Discussion 2.8 Problems 3 Analysis of Discrete-Time Systems 3.1 Introduction 3.2 Shift Operator Models 3.3 z-Transforms 3.4 The Delta Operator 3.5 Difference Equations in Delta Operator Form 3.6 Discrete Delta Transform 3.7 Use of Discrete Delta Transforms to Solve Difference Equations 3.8 The Discrete Transfer Function 3.9 Summary of Delta Transform Properties 3.10 Stability of Discrete Systems 3.11 Discrete Frequency Response 3.12 Frequency Domain Stability Criteria for Discrete-Time Systems 3.13 Digital Filter Implementation 3.14 Further Reading and Discussion 3.15 Problems 4 Discrete-Time Models of Continuous Deterministic Systems 4.1 Introduction 4.2 State-Space Development 4.3 Transform Development 4.4 Continuous-Time and Discrete-Time Poles and Zeros 4.5 Numerical Issues 4.6 Frequency Domain Development 4.7 Further Reading and Discussion 4.8 Problems 5 Optimal Linear Estimation with Finite Impulse Response Filters 5.1 Introduction 5.2 Problem Description 5.3 Sampled Model 5.4 The Discrete Lattice Filter 5.5 Continuous-Time Lattice Structure 5.6 Relationships between the Discrete and Continuous Lattice Filters 5.7 Further Reading and Discussion 5.8 Problems 6 Optimal Linear Estimation with State-Space Filters 6.1 Introduction 6.2 Signal Model 6.3 The Sampling Process 6.4 Discrete Stochastic Model 6.5 The Discrete Kalman Filter 6.6 Continuous-Time State Estimation 6.7 Further Reading and Discussion 6.8 Problems 7 Periodic and Multirate Filtering 7.1 Introduction 7.2 Models for Periodic Linear Systems 7.3 The Raising Procedure 7.4 Frequency Domain Analysis of Periodic Filters 7.5 Models for Sampled Periodic Stochastic Systems 7.6 Periodic Optimal Filtering 7.7 Further Reading and Discussion 7.8 Problems 8 Discrete-Time Control 8.1 Introduction 8.2 Closed-Loop Stability and Pole Assignment 8.3 Some Special Discrete-Time Control Laws 8.4 Sensitivity and Complementary Sensitivity Functions 8.5 All Stabilizing Control Laws 8.6 State Estimate Feedback 8.7 Rapprochement Between State Estimate Feedback and Stabilizing Controllers 8.8 Linear Quadratic Optimal Regulator 8.9 Duality Relationships 8.10 Further Reading and Discussion 8.11 Problems 9 Sampled Data Control 9.1 Introduction 9.2 Mixing Continuous and Discrete Transfer Functions 9.3 Sensitivity Considerations 9.4 Modified Discrete Transforms 9.5 Examples 9.6 Observations and Comments from the Examples 9.7 The Class of All Stabilizing Sampled-Data Controllers 9.8 Linear Quadratic Design of Sampled-Data Controllers 9.9 Duality Relationships for Hybrid Optimal Controller 9.10 Further Reading and Discussion 9.11 Problems 10 Generalized Sample-Hold Functions 10.1 Introduction 10.2 Generalized Sample-Hold Function: A Time Domain Perspective 10.3 Other Applications of Generalized Sample-Hold Functions 10.4 Frequency Domain Analysis of GSHF 10.5 Sensitivity Considerations 10.6 Further Reading and Discussion 10.7 Problems 11 Periodic Control of Linear Time-Invariant Systems 11.1 Introduction 11.2 Periodic Control of Linear Time-Invariant Systems 11.3 Time Domain Analysis 11.4 Frequency Domain Analysis 11.5 Further Reading and Discussion 11.6 Problems 12 Multirate Control 12.1 Introduction 12.2 A Unifying Approach 12.3 Slow Output Sampling, Fast Input Sampling 12.4 Fast Output Sampling, Slow Input Sampling 12.5 Further Reading and Discussion 12.6 Problems 13 Optimal Control of Periodic Systems 13.1 Introduction 13.2 Control of Linear Periodic Systems 13.3 Control based on State Estimate Feedback 13.4 Further Reading and Discussion 13.5 Problems |
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一般注記 | Undoubtably one of the key factors influencing recent technology has been the advent of high speed computational tools. Virtually every advanced engi neering system we come in contact with these days depends upon some form of sampling and digital signal processing. Well known examples are digital tele phone systems, digital recording of audio signals and computer control. These developments have been matched by the appearance of a plethora of books which explain a variety of analysis, synthesis and design tools applica ble to sampled-data systems. The reader might therefore wonder what is distinc tive about the current book. Our observation of the existing literature is that the underlying continuous-time system is usually forgotten once the samples are tak en. The alternative point of view, adopted in this book, is to formulate the analy sis in such a way that the user is constantly reminded of the presence of the under lying continuous-time signals. We thus give emphasis to two aspects of sampled-data analysis: Firstly, we formulate the various algorithms so that the appropriate contin uous-time case is approached as the sampling rate increases. Secondly we place emphasis on the continuous-time output response rath er than simply focusing on the sampled response |
著者標目 | *Feuer, Arie author Goodwin, Graham C. author SpringerLink (Online service) |
件 名 | LCSH:Engineering LCSH:Mathematics LCSH:Computer mathematics FREE:Engineering FREE:Signal, Image and Speech Processing FREE:Mathematics, general FREE:Computational Mathematics and Numerical Analysis |
分 類 | DC23:621.382 |
巻冊次 | ISBN:9781461224600 |
ISBN | 9781461224600 |
URL | http://dx.doi.org/10.1007/978-1-4612-2460-0 |
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