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Sampling in Digital Signal Processing and Control

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 t...

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Bibliographic Details
Main Authors: Feuer, Arie, Goodwin, Graham (Author)
Format: eBook
Language:English
Published: Boston, MA Birkhäuser 1996, 1996
Edition:1st ed. 1996
Series:Systems & Control: Foundations & Applications
Subjects:
Computational Mathematics And Numerical Analysis
Mathematics / Data Processing
Signal, Speech And Image Processing
Signal Processing
Mathematics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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
  • 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
  • 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
  • 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
  • 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 LatticeStructure
  • 5.6 Relationships between the Discrete and Continuous Lattice Filters

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