Digital Signal Processing: A Practitioner's Approach

Contents

Foreword

Preface

Acknowledgements

1 Processing of Signals

1.1 Organisation of the Book

1.2 Classification of Signals

1.2.1 Spectral Domain

1.2.2 Random Signals

1.2.3 Periodic Signals

1.3 Transformations

1.3.1 Laplace and Fourier Transforms

1.3.2 The z-Transform and the Discrete Fourier Transform

1.3.3 An Interesting Note

1.4 Signal Characterisation

1.4.1 Non-parametric Spectrum or Fourier Spectrum

1.4.2 Parametric Representation

1.5 Converting Analogue Signals to Digital

1.5.1 Windowing

1.5.2 Sampling

1.5.3 Quantisation

1.5.4 Noise Power

1.6 Signal Seen by the Computing Engine

1.6.1 Mitigating the Problems

1.6.2 Anatomy of a Converter

1.6.3 The Need for Normalised Frequency

1.6.4 Care before Sampling

1.7 It Is Only Numbers

1.7.1 Numerical Methods

1.8 Summary

References

2 Revisiting the Basics

2.1 Linearity

2.1.1 Linear Systems

2.1.2 Sinusoidal Inputs

2.1.3 Stability

2.1.4 Shift Invariance

2.1.5 Impulse Response

2.1.6 Decomposing h_k

2.2 Linear System Representation

2.2.1 Continuous to Discrete

2.2.2 Nomenclature

2.2.3 Difference Equations

2.2.4 Transfer Function

2.2.5 Pole–Zero Representation

2.2.6 Continuous to Discrete Domain

2.2.7 State Space Representation

2.2.8 Solution of Linear Difference Equations

2.3 Random Variables

2.3.1 Functions of a Random Variable

2.3.2 Reliability of Systems

2.4 Noise

2.4.1 Noise Generation

2.4.2 Fourier Transform and pdf of Noise

2.5 Propagation of Noise in Linear Systems

2.5.1 Linear System Driven by Arbitrary Noise

2.6 Multivariate Functions ...