Advanced Filter Design for Signal Processing using MATLAB and Mathematica

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

Advanced Digital Filter Design Case Studies

1. Basic Definitions
2. Specification of a Digital Filter
3. Approximation Step
4. Design Space
5. Basic Design Alternatives
• Design D1
• Design D2
• Design D3a
• Design D3b
• Design D4a
• Design D4b
• Remarks on Design Alternatives
6. Visualization of Design Space
7. Elliptic Half-Band IIR Filters
• Definition of Half-Band Filters
• Elliptic Minimal Q-factor Transfer Functions
• Design of Half-Band IIR Filters for Given Edge Frequency
• Design of Half-Band IIR Filters for Given Passband or Stopband Attenuation
• 1/3-Band IIR Filters
• Design of 1/3-Band IIR Filters for Given Edge Frequency
• Design of 1/3-Band IIR Filters for Given Passband or Stopband Attenuation
• Comparison of FIR and IIR Half-Band Filters
• Parallel Realization of Elliptic Half-Band IIR Filters
• Conclusion
8. Hilbert Transformer
• Half-Band Filter and Hilbert Transformer
• Design of Hilbert Transformer
9. Multiplierless Elliptic IIR Filters
• Introduction
• Amplitude Response Sensitivity for Allpass Realization of IIR Filters
• Sensitivity Functions
• Phase Tolerance Scheme
• EMQF Transfer Function
• Multiplier Coefficients in Allpass Sections
• beta_max Coefficient in Allpass Sections
• Multiplierless Elliptic IIR Filter Design
• The Choice of alpha
• The Choice of beta_max
• The Choice of alpha_1 and beta_i
• Applications
• Conclusion
10. Linear Phase IIR Filters
• Filtering Finite Length Sequences
• Filtering Infinite Sequences
11. Example Mathematica Notebooks

Last updated 1999/02/24 00:35.