**Reading:**- Chapter 6 (Z-transform),
- Chapter 6 (Transfer Function Analysis)
- Chapter 7 (Frequency Response Analysis)
- First three sections of Chapter 8 (Pole-Zero Analysis)
- Chapter 9 (Implementation Structures)
- Appendix D (Laplace Transform Analysis)
- Appendix E (Analog Filters)
- Appendix I.3 (Bilinear Transform)
- Appendix B (Elementary Audio Digital Filters)
- Assignment 2

- Chapter 6 (Z-transform),
**Lecture Videos (Total Viewing Time 2 Hours):**- Direct Form Digital Filters, Transposing a Flow
Graph, Transposed Direct Forms 1 and 2, Direct Form 1 Biquad, Direct
Form 2 Biquad, Transposed Direct Form 2 Biquad, Interpolated
Delay-Line Read, Interpolated Delay-Line Write = Transpose of
Read
[14:35]
- Simplest Mechanical LPF: Ideal Mass on
Frictionless Surface, Newton's law of motion f=ma, Analog Transfer
Function for Driving-Force Input, Velocity Output, Admittance
(Mobility) of a Mass
[5:31]
- Simplest Mechanical LPF: Ideal Mass on
Frictionless Surface, Differentiation Theorem for Laplace
Transforms, Transfer Function of the Force-Driven Mass: Frequency
Response, Poles and Zeros,, Amplitude Response, 6dB per octave roll
off, Bode Plot, Harald Bode, Phase Response
[27:29]
- Simplest Electrical LPF: RC lowpass; RLC
Circuits: Resistor Equation V = IR, Capacitor Equation Q = CV,
Inductor Equation V = L dI/dt; Kirchhoff Node and Loop Analysis:
Kirchhoff Loop Constraint (Sum of voltages around a loop is zero),
Kirchhoff Node Constraint (Sum of currents into a node is zero);
Voltage Transfer Circuits, Laplace Transform Circuit Analysis,
Transfer Function of RC LPF: Pole-Zero Analysis, Impulse Response,
Time Constant of Decay, Bode Plot
[21:39]
- Simplest Electrical LPF: RC lowpass, continued;
Bode Plot; 3dB Bandwidth
[7:45]
- 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
[8:51]
- Shelf Filters in Faust
[6:54]

- Direct Form Digital Filters, Transposing a Flow
Graph, Transposed Direct Forms 1 and 2, Direct Form 1 Biquad, Direct
Form 2 Biquad, Transposed Direct Form 2 Biquad, Interpolated
Delay-Line Read, Interpolated Delay-Line Write = Transpose of
Read
[14:35]

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