Digital Signal Processing: A Practitioner's Approach

Preface.

Acknowledgements.

1. Processing of Signals.

1.1 Organisation of the Book.

1.2 Classification of Signals.

1.3 Transformations.

1.4 Signal Characterisation.

1.5 Converting Analogue Signals to Digital.

1.6 Signal Seen by the Computing Engine.

1.7 It Is Only Numbers.

1.8 Summary.

References.

2. Revisiting the Basics.

2.1 Linearity.

2.2 Linear System Representation.

2.3 Random Variables.

2.4 Noise.

2.5 Propagation of Noise in Linear Systems.

2.6 Multivariate Functions.

2.7 Number Systems.

2.8 Summary.

References.

3. Digital Filters.

3.1 How to Specify a Filter.

3.2 Moving-Average Filters.

3.3 Infinite Sequence Generation.

3.4 Unity-Gain Narrowband Filter.

3.5 All-Pass Filter.

3.6 Notch Filter.

3.7 Other Autoregressive Filters.

3.8 Adaptive Filters.

3.9 Demodulating via Adaptive Filters.

3.10 Phase Shift via Adaptive Filter.

3.11 Inverse Problems.

3.12 Kalman Filter.

3.13 Summary.

References.

4. Fourier Transform and Signal Spectrum.

4.1 Heterodyne Spectrum Analyser.

4.2 Discrete Fourier Transform.

4.3 Decimating the Given Sequence.

4.4 Fast Fourier Transform.

4.5 Fourier Series Coefficients.

4.6 Convolution by DFT.

4.7 DFT in Real Time.

4.8 Frequency Estimation via DFT.

4.9 Parametric Spectrum in RF Systems.

4.10 Summary.

References.

5. Realisation of Digital Filters.

5.1 Evolution.

5.2 Development Process.

5.3 Analogue-to-Digital Converters.

5.4 Second-Order BPF.

5.5 Pipelining Filters.

5.6 Real-Time Applications.

5.7 Frequency Estimator on the DSP5630X.

5.8 FPGA Implementation of a Kalman Filter.

5.9 Summary.

References.

6. Case Studies.

6.1 Difference Equation to Program.

6.2 Estimating Direction of Arrival.

6.3 Electronic Rotating Elements.

6.4 Summary.

References.

Appendix: MATLAB and C Programs.

A.1 Chapter 1 MATLAB Programs.

A.2 Chapter 2 MATLAB Programs.

A.3 Chapter 3 MATLAB Programs.

A.4 Chapter 4 MATLAB Programs.

A.5 Chapter 5 Programs.

A.6 Chapter 6 MATLAB Programs.

A.7 Library of Subroutines.

A.8 Some Useful Programs.

Index.