Advanced Filter Design for Signal Processing using MATLAB and Mathematica

Miroslav D. Lutovac, Dejan V. Tosic, and Brian L. Evans

Classical Digital Filter Design

1. Introduction to Digital Filters
2. Basic Filter Transfer Functions
• Second-Order Transfer Functions
• Lowpass Transfer Function
• Highpass Transfer Function
• Bandpass Transfer Function
• Bandreject Transfer Function
• Lowpass-Notch and Highpass-Notch Transfer Function
• Allpass Transfer Function
3. Decomposition of Transfer Functions
4. Pole-Zero Pairing
5. Optimum Cascading Sequence
6. Finite Wordlength Effects
• Coefficient Quantization
• Basic Definitions of Sensitivity
• Sensitivity of Second-Order Transfer Function
• Phase Sensitivity of Second-Order Transfer Functions
• Overflow Arithmetic Operations
• Limit Cycles and Overflow Oscillations
• Signal Quantization Error
• Roundoff Noise
• Product Quantization in Cascade and Parallel Realizations
7. Digital Filter Realizations
• Direct-Form I Realization
• Direct-Form II Realization
• Transposed Direct-Form II Realization
• Ansari-Liu Allpass Realizations
• Wave Digital Filter Realizations
8. Comparison of Realizations
9. Example Mathematica Notebooks

Last updated 1999/02/24 00:34.