Signal Processing Applications Using Multidimensional Polynomial Splines

Preface

About This Book

Contents

About the Authors

List of Figures

List of Tables

1 Parabolic Splines based One-Dimensional Polynomial

1.1 The Functional Relationships Based on Parabolic Splines

1.2 The Theoretical Issues of Splines

1.3 Evaluation of Parabolic B-Splines of Multiple Levels

1.4 Summary

References

2 B-Spline Approximation for Polynomial Splines

2.1 Specialised Computing Structure for Running B-Spline Approximation

2.2 Summary

References

3 One-Dimensional Polynomial Splines for Cubic Splines

3.1 Parallel Computing Structure Based on Cubic Basic Splines

3.2 Summary

References

4 Multidimensional Polynomial Splines

4.1 Multidimensional Polynomial Splines in Modelling of Functional Relationships

4.2 Methods of Computation of Modelling Coefficients Using Multidimensional Splines

4.3 The Main Characteristics of Implementation of Tabular-Algorithmic Computation Structures of Piecewise-Polynomial Processing of Signals

4.3.1 Performance Assessment

4.3.2 Memory Capacity Assessment

4.4 Summary

References

5 Evaluation Methods of Spline

5.1 Hardware Used for Evaluation of Spline-Recovery Methods

5.2 Purpose and Characteristics of Signals

5.3 Structure of DSP with Harvard’s Architecture

5.4 Blackfin Family Processors

5.5 Summary

References

6 Requirements of MATLAB/Simulink for Signals

6.1 Development Tools for Modelling Special Processor Structures Based on MATLAB and Simulink

6.2 Summary

References

7 Geophysical Application for Splines

7.1 Software for Processing of Geophysical Signals

7.2 Generation of Electromagnetic and Acoustic Emissions

7.3 Splines’ Implementation of Geophysical Studies Data

7.4 Summary

References

8 Spline Evaluation for Railways

8.1 Analysis of Spline Implementation in Railway Rails

8.2 Stability Evaluation of Railways

8.3 Discussion

References