**Reading:**- Chapter 7 (Frequency Response Analysis)
- First three sections of Chapter 8 (Pole-Zero Analysis)
- Second section of Chapter 9 (Implementation Structures)
on parallel/series filter sections
- Appendix B (Elementary Audio Digital Filters)
on one/two pole/zero sections, allpass filters, dc blockers, low and high shelf, peaking equalizers
- Appendix C (Allpass Filters), through the first subsection
(
*i.e.*, the rest is ``supplemental'' starting at Paraunitary Filters) - Supplementary: Robust Design of Very High-Order Allpass Dispersion Filters
- Review: Complex Resonators (PDF)
- Review: Comparing Analog and Digital Complex Planes
from last quarter

- Chapter 7 (Frequency Response Analysis)
- Assignment 3
**Lecture Videos**- Simplest Electrical LPF: RC lowpass, continued;
Bode Plot; 3dB Bandwidth
[7:45]
- Bandwidth of a Pole, Continuous-Time Complex Resonator and Allpass Filter, Magnitude and Phase Response from Factored Transfer Function
[22:16]
- Analog Low-Shelf Filters, High Shelf, Peaking
Equalizer, Mapping s to z, Bilinear Transform (BLT), BLT Doesn't
Alias, BLT Frequency Warping
[12:30]
- Bilinear Transform Frequency Scaling, Resonance
Preservation; Digitizing an Integrator (Mass), RC Filter, Low Shelf;
BLT Stability Preservation, DC Blocker
[8:51]
- Supplementary: Shelf Filters in Faust
[22:25]
- Analog Filters Reviewed: Transfer Function,
Frequency Response, Power Response; Analog Lowpass Design, Maximally
Flat Passband, Butterworth Filters
[30:46]
- Quality Factor (Q) of a Resonator
[7:12]
- Complex One-Pole Resonator and its Q; Canonical
Form of a Biquad (s-plane); Mechanical and Electrical Resonators;
Limiters, Compressors, Expanders
[39:30]
- Filter Decay Time is about Q Periods
[3:16]
- Supplementary: Introduction to Functional Audio Stream (FAUST):
Simplest Lowpass, Utilities in Faust's filter.lib
[37:30]
- Supplementary: More FAUST: Testing filters using faust2octave
[27:32]

- Simplest Electrical LPF: RC lowpass, continued;
Bode Plot; 3dB Bandwidth
[7:45]

Download intro320.pdf

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Center for Computer Research in Music and Acoustics (CCRMA), Stanford University