Digital Filters Design for Signal and Image Processing

Table of contents

1. Cover Page
2. Title Page
3. Copyright
4. Contents
5. Introduction
6. Chapter 1: Introduction to Signals and Systems
   1. 1.1. Introduction
   2. 1.2. Signals: categories, representations and characterizations
   3. 1.3. Systems
   4. 1.4. Properties of discrete-time systems
   5. 1.5. Bibliography
7. Chapter 2: Discrete System Analysis
   1. 2.1. Introduction
   2. 2.2. The z-transform
   3. 2.3. The inverse z-transform
   4. 2.4. Transfer functions and difference equations
   5. 2.5. Z-transforms of the autocorrelation and intercorrelation functions
   6. 2.6. Stability
8. Chapter 3: Frequential Characterization of Signals and Filters
   1. 3.1. Introduction
   2. 3.2. The Fourier transform of continuous signals
   3. 3.3. The discrete Fourier transform (DFT)
   4. 3.4. The fast Fourier transform (FFT)
   5. 3.5. The fast Fourier transform for a time/frequency/energy representation of a non-stationary signal
   6. 3.6. Frequential characterization of a continuous-time system
   7. 3.7. Frequential characterization of discrete-time system
9. Chapter 4: Continuous-Time and Analog Filters
   1. 4.1. Introduction
   2. 4.2. Different types of filters and filter specifications
   3. 4.3. Butterworth filters and the maximally flat approximation
   4. 4.4. Equiripple filters and the Chebyshev approximation
   5. 4.5. Elliptic filters: the Cauer approximation
   6. 4.6. Summary of four types of low-pass fllter: Butterworth, Chebyshev type I, Chebyshev type II and Cauer
   7. 4.7. Linear phase filters (maximally flat delay or MFD): Bessel and Thomson filters
   8. 4.8. Papoulis filters (optimum (O n ))
   9. 4.9. Bibliography
10. Chapter 5: Finite Impulse Response Filters
    1. 5.1. Introduction to finite impulse response filters
    2. 5.2. Synthesizing FIR filters using frequential specifications
    3. 5.3. Optimal approach of equal ripple in the stop-band and passband
    4. 5.4. Bibliography
11. Chapter 6: Infinite Impulse Response Filters
    1. 6.1. Introduction to infinite impulse response filters
    2. 6.2. Synthesizing IIR filters
    3. 6.3. Bibliography
12. Chapter 7: Structures of FIR and IIR Filters
    1. 7.1. Introduction
    2. 7.2. Structure of FIR filters
    3. 7.3. Structure of IIR filters
    4. 7.4. Realizing finite precision filters
    5. 7.5. Bibliography
13. Chapter 8: Two-Dimensional Linear Filtering
    1. 8.1. Introduction
    2. 8.2. Continuous models
    3. 8.3. Discrete models
    4. 8.4. Filtering in the spatial domain
    5. 8.5. Filtering in the frequency domain
    6. 8.6. Bibliography
14. Chapter 9: Two-Dimensional Finite Impulse Response Filter Design
    1. 9.1. Introduction
    2. 9.2. Introduction to 2-D FIR filters
    3. 9.3. Synthesizing with the two-dimensional windowing method
    4. 9.4. Appendix: spatial window functions and their implementation
    5. 9.5. Bibliography
15. Chapter 10: Filter Stability
    1. 10.1. Introduction
    2. 10.2. The Schur-Cohn criterion
    3. 10.3. Appendix: resultant of two polynomials
    4. 10.4. Bibliography
16. Chapter 11: The Two-Dimensional Domain
    1. 11.1. Recursive filters
    2. 11.2. Stability criteria
    3. 11.3. Algorithms used in stability tests
    4. 11.4. Linear predictive coding
    5. 11.5. Appendix A: demonstration of the Schur-Cohn criterion
    6. 11.6. Appendix B: optimum 2-D stability criteria
    7. 11.7. Bibliography
17. List of Authors
18. INDEX