Practical Applications in Digital Signal Processing

Contents

Preface

Acknowledgments

About the Author

1 Review of Digital Frequency

1.1 Definitions

1.2 Defining Digital Frequencies

1.3 Mathematical Representation of Digital Frequencies

1.4 Normalized Frequency

1.5 Representation of Digital Frequencies

2 Review of Complex Variables

2.1 Cartesian Form of Complex Numbers

2.2 Polar Form of Complex Numbers

2.3 Roots of Complex Numbers

2.4 Absolute Value of Complex Numbers

2.5 Exponential Form of Complex Numbers

2.6 Graphs of the Complex Variable z

2.7 Limits

2.8 Analytic Functions

2.9 Singularity

2.10 Entire Functions

2.11 The Complex Number ∞

2.12 Complex Differentiation

2.13 Cauchy-Riemann Equations

2.14 Simply Connected Region

2.15 Contours

2.16 Line Integrals

2.17 Real Line Integrals

2.18 Complex ...