Sampling in digital signal processing and control

Author(s)

• Feuer, Arie
• Goodwin, Graham C. (Graham Clifford)

Bibliographic Information

Sampling in digital signal processing and control

Arie Feuer, Graham C. Goodwin

（Systems & control）

Birkhäuser, 1996

• : us
• : sz

Note

Includes bibliographical references (p. [523]-537) and index

Description and Table of Contents

Volume

: us ISBN 9780817639341

Description

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.

Table of Contents

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 LatticeStructure.- 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.

Volume

: sz ISBN 9783764339340

Description

Dealing with signal sampling techniques in digital signal processing and control, this text emphasizes the concept of intersample behaviour. Tools are presented for analyzing systems that contain both sampled and continuous time signals. The first section deals with digital signal processing and presents a unified description of the frequency domain characteristics of sampled and continuous signals, as well as sampling and reconstruction of signals, lattice and Kalman filtering and various related estimation issues. The second half of the book looks at digital control and covers such topics as sampled data control, multirate control and periodic systems. There is a complete discussion of modern discrete time control and a unified treatment of Fourier analysis of signals.

Table of Contents

• Fourier analysis
• sampling and reconstruction
• analysis of discrete-time systems
• discrete-time models of continuous deterministic systems
• optimal linear estimation with finite impulse response filters
• optimal linear estimation with state-space filters
• periodic and multirate filtering
• discrete time control
• sampled data control
• generalized sample-hold functions
• periodic control of linear time-invariant systems
• multirate control
• optimal control of periodic systems

by "Nielsen BookData"

Details

• NCID: BA28323892
• ISBN:
  • 0817639349
  • 3764339349
• LCCN: 96024284
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Boston
• Pages/Volumes: xxxii, 541 p.
• Size: 25 cm
• Classification:
  • LCC : TK5102.9
  • DC20 : 621.382/23
• Subject Headings:
  • LCSH : Signal processing -- Digital techniques
  • LCSH : Signal processing -- Statistical methods
  • LCSH : Sampling (Statistics)
  • LCSH : Control theory
• Parent Bibliography ID:
  • BA07692970