Introduction to Digital Signal Processing and Filter Design

1. Introduction.

1.1 Introduction.

1.2 Application of DSP.

1.3 Discrete-Time Signals.

1.4 History of Filter Design.

1.5 Analog and Digital Signal Processing.

1.6 Summary.

Problems.

References.

2. Time-Domain Analysis and z Transform.

2.1 A Linear, Time-Invariant System.

2.2 z Transform Theory.

2.3 Using z Transform to Solve Difference Equations.

2.4 Solving Difference Equations Using the Classical Method.

2.5 z Transform Method Revisited.

2.6 Convolution Revisited.

2.7 A Model from Other Models.

2.8 Stability.

2.9 Solution Using MATLAB Functions.

2.10 Summary.

Problems.

References.

3. Frequency-Domain Analysis.

3.1 Introduction.

3.2 Theory of Sampling.

3.3 DTFT and IDTFT.

3.4 DTFT of Unit Step Sequence.

3.5 Use of MATLAB to Compute DTFT.

3.6 DTFS and DFT.

3.7 Fast Fourier Transform.

3.8 Use of MATLAB to Compute DFT and IDFT.

3.9 Summary/

Problems.

References.

4. Infinite Impulse Response Filters.

4.1 Introduction.

4.2 Magnitude Approximation of Analog Filters.

4.3 Analog Frequency Transformations.

4.4 Digital Filters.

4.5 Impulse-Invariant Transformation.

4.6 Bilinear Transformation.

4.7 Digital Spectral Transformation.

4.8 Allpass Filters.

4.9 IIR Filter Design Using MATLAB.

4.10 Yule-Walker Approximation.

4.11 Summary.

Problems.

References.

5. Finite Impulse Response Filters.

5.1 Introduction.

5.2 Linear Phase Fir Filters.

5.3 Fourier Series Method Modified by Windows.

5.4 Design of Windowed FIR Filter Using MATLAB.

5.5 Equiripple Linear Phase FIR Filters.

5.6 Design of Equiripple FIR Filters Using MATLAB.

5.7 Frequency Sampling Method.

5.8 Summary.

Problems.

References.

6. Filter Realizations.

6.1 Introduction.

6.2 FIR Filter Realizations.

6.3 IIR Filter Realizations.

6.4 Allpass Filters in Parallel.

6.5 Realization of FIR and IIR Filters Using MATLAB.

6.6 Summary.

Problems.

References.

7. Quantized Filter Analysis.

7.1 Introduction.

7.2 Filter Design-Analysis Tool.

7.3 Quantized Filter Analysis.

7.4 Binary Numbers and Arithmetic.

7.5 Quantization Analysis of IIR Filters.

7.6 Quantization Analyis of FIR Filters.

7.7 Summary.

Problems.

References.

8. Hardware Design Using DSP Chips.

8.1 Introduction.

8.2 Simulink and Real-Time Workshop.

8.3 Design Preliminaries.

8.4 Code Generation.

8.5 Code Composer Studio.

8.6 Simulator and Emulator.

8.7 Conclusion.

References.

9. MATLAB Primer.

9.1 Introduction.

9.2 Signal Processing Toolbox.

References.

Index.