Last Modified : Tue, 10 Jan 12

- Instructor: Jont Allen (NetID: jontalle); ECE 403 Websites: 2010, 2009; 2008; Time-table: UIUC-ECE403; Text:
*Electroacoustics*(Buy, TOC, Preface,Preface1, djvu); Office hours: 2-3 Friday (following class) - Topics: acoustic wave phenomena; acoustics of rooms and auditoriums; artificial reverberation and sound localization/spatialization; Transducer design (2-port networks, loudspeakers, microphones); Topics in digital audio.
- Goals: As in 2009; Syllabus: 2009; Assignments: See {$\sqrt{-Daily Schedule}$} below;

L
| W
| D
| Date
| TOPIC |

0 | 3 | M | 1/18 | MLK Day; no class |

Part I: Linear Acoustics Systems Theory (12 lectures) | ||||

1 | W | 1/20 | Introduction; Review Fourier Trans. {$\cal F$} and the Laplace Trans. {$\cal L$};A detailed comparison of the step function {$u(t)$} for each transform: Why {${\cal F} u(t) =\pi \delta(\omega)+1/j\omega$} and {${\cal L} u(t)=1/s$} are not the same. The strange case of {$\log(-1)$},{$j^j$}, {$(-1)^t$} and {$j^t$} | |

2 | F | 1/22 | 1. Applications of the Laplace transform {$h(t) \leftrightarrow H(s)$} where {$t$} is time and {$s=\sigma+j\omega$} is frequency2. Convolution of vectors {$\leftrightarrow$} product of polynomials: {$a \star b \leftrightarrow A(z)\cdot B(z)$}, where {$a \equiv [a_0,a_1,a_2, \cdots]^T$}, {$b \equiv [b_0,b_1, \cdots]^T$} and {$A(z)\equiv(a_0+a_1z+a_2z^2 \cdots)$}, {$B(z)\equiv(b_0+b_1z+ \cdots)$} 3. Functions of a complex variable: The calculus of Analytic functions {$dH(s)/ds$}, {$\int_C H(s) ds$}. | |

3 | 4 | M | 1/25 | 1. Solving differential equations: The characteristic polynomial {$H(s)$}2. Properties of {$H(s)=N(s)/D(s)$}: Roots of {$D(s)$} in LHP. 3. Definition of the Inverse Laplace transform {${\cal L}^{-1}$}: {$f(t)u(t) = \int_{\sigma_0-j\infty}^{\sigma_0+j\infty} F(s)e^{st}\frac{ds}{2 \pi j}$}3. Definition of an Analytic function F(s): Must satisfy the Cauchy-Riemann conditions, assuring that {$dF/ds$} and {$\int_C F(s) ds$} (e.g. {${\cal L}^{-1}$}) are defined.4. Using the Cauchy Integral Theorm to compute {${\cal L}^{-1}$} 5. Special classes of impulse responses: Minimum phase (MP), positive real (PR), all-pole (Strictly-IIR), all-zero (Strictly-FIR) and allpass (AP) functions |

4 | W | 1/27 |
6. Detailed example using of a 1{$^{st}$}-order lowpass filter: the FT {$\equiv\cal F$}, zT, Laplace Transform {$\equiv \cal L$}, DFT, Bilinear-z, etc.; HW-1 (due 2/10/2010) | |

5 | F | 1/29 |
Class discussion of HW-1 Come prepared to discuss and ask about the the problems you don't understand. | |

6 | 5 | M | 2/1 | Review of the Fourier Transform [e.g.: {$\delta(t) \leftrightarrow 1$}, {$\delta(t-T) \leftrightarrow e^{-j\omega T}$}; {$1\leftrightarrow 2\pi\delta(\omega)$}, etc.] Periodic Functions: {$f((t))_R \equiv \sum_n f(t-nR)$} with {$n \in \mathbb{Z}$} and their Fourier Series {$f((t))_R = \sum_k f_k e^{jt 2 \pi k/R}$}; Sampling and the Poisson Sum formula {$\sum_n \delta(t-nR) \leftrightarrow \frac{2\pi}{R}\sum_k \delta(\omega- k\frac{2\pi}{R})$} or in a a more compact form: {$ \delta((t))_R \leftrightarrow \frac{2\pi}{R} \delta((\omega))_{2\pi/R} $} |

7 | W | 2/3 |
Class canceled and Replaced by: iOptics seminar (12-1) 1000 MNTL (Abstract Δ) free Pizza! | |

8 | F | 2/5 |
Short-time Fourier Transform (STFT) Analysis-Synthesis: Let {$w(t)$} be | |

9 | 6 | M | 2/8 | More on Fourier Transform analysis; Hilbert Transform and Cepstral analysis as applications of {$u(t) \leftrightarrow \pi\delta(\omega)+{1 \over j\omega}$} and its Dual {$\delta(t) +\frac{j}{\pi t} \leftrightarrow 2 u(\omega)$} |

10 | W | 2/10 | Review of Basic Acoustics (Pressure and Volume velocity, dB-SPL, etc.); HW-2 (due 2/24/2010); Example of LaTeX (Hint: Try doing your HW using LaTeX!) | |

11 | F | 2/12 |
Class discussion of HW-2
FT; STFT; Acoustics | |

12 | 7 | M | 2/15 | Wave equations and Newton's Principia (July, 1687); d'Alembert solutions in 1 and 3 dimensions of the wave equation; Radiation (wave) impedance of a sphere; Acoustic Horns; |

13 | W | 2/17 | Intensity, Energy, Power conservation, Parseval's Thm., Bode plots; Spectral Analysis and random variables: Resistor thermal noise | |

14 | F | 2/19 |
Review for Exam I | |

15 | 8 | M | 2/22 |
No class due to Exam I; Exam I 7-9PM Room 245EL Monday Feb 22, 2010 |

16 | W | 2/24 |
Review Exam solution; | |

17 | F | 2/26 | Transmission line Theory; Forward, backward and reflected traveling waves; Room acoustics I: 1 wall = 1 image, 2 walls = {$\infty$} images | |

18 | 9 | M | 3/1 | Room Acoustics II: 6 walls and arrays of images; simulation methods pdf Is a room minimum phase and thus invertable? djvu |

19 | W | 3/3 | 2-port networks and transmission lines;HW-3 (due 3/17/2010) Acoustic transmission lines | |

20 | F | 3/5 | Discussion of HW-3 | |

21 | 10 | M | 3/8 | Gaines Hall, guest lecture on Concert Hall (NPI) acoustics. |

22 | W | 3/10 | 2-Port networks; Definition and conversion between Z and T matrix; Examples, applications and meaning Carlin 5+1 postulates 5+1 Postulates,T and Z 2-ports | |

23 | F | 3/12 | No class - Engineering Open House | |

24 | 11 | M | 3/15 | Acoustic horns: Tube acoustics where the per-unit-length impedance {${\cal Z}(x,s)\equiv s \rho_0/A(x)$} and admittance {${\cal Y}(x,s)\equiv s A(x)/\eta_0 P_0$} depend on space {$x$} Radiation impedance pdf Δ; Transmission Line discussion |

25 | W | 3/17 | History of Acoustics, Part I;History of acoustics (Hunt Ch. 1)Newton's speed of sound; Lagrange & Laplace+adiabatic history Review material for Exam II; Discussion of final project on Loudspeaker measurements: pdf | |

11 | Th | 3/18 | Exam II, Thur @ 7 PM in 260 EL | |

26 | F | 3/19 | No class (Exam II) | |

- | 12 | M | 3/22 | Spring Break |

- | W | 3/24 | Spring Break | |

- | F | 3/26 | Spring Break | |

27 | 13 | M | 3/29 | Transmission line Theory; reflections at junctions |

28 | W | 3/31 | Middle ear as a delay line Starter files for middle ear simulation: [Attach:ece403_txline.m Δ] [Attach:ece403_gamma.m Δ] | |

29 | F | 4/2 | 2-Port networks: Transmission line and RC network; T and Z forms | |

30 | 14 | M | 4/5 | Measurement of 2-port RC example + demo of stimresp |

31 | W | 4/7 | 2-port reciprocal and reversible networks (T and Z forms); HW-4 (due 4/14/2010) Measurement Circuit Schematic Δ | |

32 | F | 4/9 | Throat and Radiation impedance of horn | |

33 | 15 | M | 4/12 | 2-port transducers and motional impedance (Hunt Chap. 2); Read Weece and Allen (2010) pdf |

34 | W | 4/14 | Loudspeakers: lumped parameter models, waves on diaphragm | |

35 | F | 4/16 | Moving coil Loudspeaker I; 2-port equations with f = Bl i, E = Bl u | |

36 | M | 4/19 | No class due to lab | |

37 | W | 4/21 | No class due to lab | |

38 | F | 4/23 | Guest Lecture: Lorr Kramer on Audio in Film | |

39 | 17 | M | 4/26 | No class due to lab |

40 | W | 4/28 | Hand in early version of final paper on loudspeaker analysis | |

41 | F | 4/30 | Guest Lecture: Malay Gupta (RIM): DSP Signal processing on the RIM platform | |

42 | 18 | M | 5/3 | How a guitar works |

43 | W | 5/5 | Last day of class; Review of what we learned; discussion of how loudspeakers work (what you found) | |

Tr | 5/6 | Reading Day; Final project due by midnight: Please give me both a paper and pdf copy. NO DOC files | ||

- | F | 5/7 | Final Exams begin | |

Not proofed beyond here |

- The textbook is
**Electroacoustics: The Analysis of Transduction, and Its Historical Background**by Frederick V. Hunt. ISBN 0-88318-401-X. - Chapters 2 and 3 of the textbook are available here.
- You will need the DjVu viewer to read/print it. This can be found at:

viewer.

there are two versions, and either should work fine: the traditional version and the open source version djview4 (recommended).

- Spring 2008
- 2008 Final grades: 100-90->A+; 89-79->A; 78-71->A-; 70-66->B+; 65-60->B
- The final grads were computed as follows: Each homework counted for 5 points. The two exams were each worth 25 points, for a total of 50 points. The final was broken down into 33 topics each worth 30/33 points, for a total of 30 points. This all adds to 100 points. Example: Score = 0.2*mean(HW)+.5*mean(Exams)+Final (within 1 point due to rounding and normalization).

- HP scattering-matrix application notes pdf Δ, link
- A Vinyl record grove magnified 1000 times jpg Δ image
- Stiff piano strings by Richard Feynman djvu Δ
- Audio projects that failed
- Neural Audio White papers
- Holosonics Nonlinear-Ultrasonic Loudspeaker
- Passive Radiator speaker
- Conversion tables for 2-ports (page 1) and ABCD tables from Pipes (pages 2-3): djvu
- You can use SYSRES (windows zip, linux-bin) to take frequency response measurements at home.
- Network Theory Postulates
- Nonlinear acoustics: Bernoulli's Equation and conservation laws Navier-Stokes
- 3D Middle ear and cochlea view
- AAC+ encoding Slate article
- All-pass filters: a helpful explanation
- Prof. Beauchamp's ECE 403 Class Notes from Spring 2007
- Prof. Haken's Continuum Fingerboard

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