- 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: How to analyize a loudspeaker; 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: 2012; Assignments: See failed to render LaTeX below;
Spring 2012 failed to render LaTeX
L W D Date TOPIC
0 3 M 1/16 MLK Day; no class
Part I: Linear Acoustics Systems (Theory) (12 lectures)
1 W 1/18 Introduction to what we will learn this semester. We will learn how a loudspeaker works, along with the basic theory needed to model this interesting and fun system.
Review of ECE-210: Fourier failed to render LaTeX and Laplace failed to render LaTeX Transforms; Impedance failed to render LaTeX and other complex functions of
complex frequency failed to render LaTeX
A detailed comparison of the step function failed to render LaTeX for each transform: Why failed to render LaTeX and failed to render LaTeX are not the same.
The strange case of failed to render LaTeX , failed to render LaTeX , failed to render LaTeX and failed to render LaTeX
2 F 1/20 1. Applications of the Laplace transform failed to render LaTeX where failed to render LaTeX is time and failed to render LaTeX is complex-frequency
2. Convolution of vectors failed to render LaTeX product of polynomials: failed to render LaTeX , where
failed to render LaTeX , failed to render LaTeX and failed to render LaTeX , failed to render LaTeX
3. Functions of a complex variable: The calculus of Analytic functions failed to render LaTeX , failed to render LaTeX .
3 4 M 1/23 1. Solving differential equations: The
characteristic polynomial failed to render LaTeX
2. Properties of failed to render LaTeX : Roots of failed to render LaTeX in LHP.
3. Definition of the
Inverse Laplace transform failed to render LaTeX : failed to render LaTeX
4 W 1/25
3. Definition of an impedance as an Analytic function Z(s): Must satisfy the Cauchy-Riemann conditions, assuring that failed to render LaTeX and failed to render LaTeX (e.g. failed to render LaTeX ) are defined.
4. Using the Cauchy Integral Theorm to compute failed to render LaTeX
5 F 1/27
5. Special classes of impedance functions as: Minimum phase (MP), positive real (PR), and transfer functions as: all-pole (Strictly-IIR), all-zero (Strictly-FIR) and allpass (AP) functions
6. Detailed example using of a 1 failed to render LaTeX -order lowpass filter: the FT failed to render LaTeX and Laplace Transform failed to render LaTeX
Homework 1: HW-1 Ver. 1.20 (due 2/10/2010) Come prepared to discuss and ask about the the problems you don't understand.
6 5 M 1/30 Allen out of town on business.
7 W 2/1 Review of the Fourier Transform [e.g.: failed to render LaTeX , failed to render LaTeX ; failed to render LaTeX , etc.]
Periodic Functions: failed to render LaTeX with failed to render LaTeX and their Fourier Series failed to render LaTeX ;
Sampling and the Poisson Sum formula failed to render LaTeX or in a a more compact form: failed to render LaTeX
8 F 2/3
Short-time Fourier Transform (STFT) Analysis-Synthesis: Let failed to render LaTeX be low-pass with failed to render LaTeX , normalize such that: failed to render LaTeX . Then failed to render LaTeX ( pdf Δ)
9 6 M 2/6 More on Fourier Transform analysis; Hilbert Transform and Cepstral analysis as applications of failed to render LaTeX and its
Dual failed to render LaTeX
Homework 2:
HW-2 (Ver 1.01) (due Mon 2/20/2010)
Example of LaTeX (Hint: Try doing your HW using LaTeX!)
10 W 2/8 Review of Basic
Acoustics (Pressure and Volume velocity, dB-SPL, etc.)
11 F 2/10 Class discussion of HW-2;
FT; Acoustic wave equation.
12 7 M 2/13 Radiation (wave) impedance of a sphere; Acoustic Horns (
pdf);
Notes on the Laplace failed to render LaTeX
function (i.e., failed to render LaTeX it a function? (
pdf)
13 W 2/15
Intensity, Energy, Power conservation, Parseval's Thm., Bode plots; Spectral Analysis and random variables: Resistor thermal noise (4kT).
14 F 2/17 Wave equations and Newton's
Principia (July, 1687);
d'Alembert solutions in 1 and 3 dimensions of the
wave equation
15 8 M 2/20 HW2 Due; Review HW2; Review for Exam I;
16 W 2/22 No class due to: Exam I, 7-9PM Room: EVRT 245, Wed Feb 22, 2012
17 F 2/24 Review Exam solution; Transmission line Theory; Forward, backward and reflected traveling waves
18 9 M 2/27 2-port networks: Transformer, Gyrator and transmission lines
(
HW-3,
HW-3-solution)
(due 3/14/2010)
Acoustic transmission lines
19 W 2/29 ; Room acoustics: 1 wall = 1 image, 2 walls = failed to render LaTeX images;
6 walls and arrays of images; simulation methods
pdf
Is a room
minimum phase and thus invertable?
djvu
20 F 3/2 Hunt 2-port impedance model of loudspeaker; Discussion of HW-3
21 10 M 3/5 Start Lab work on loudspeakers
22 W 3/7 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 3/9
No class - Engineering (
Open House,
UIUC Calendar)
23 F 3/9 Allen at AAS, Phonix AZ
24 11 M 3/12 Acoustic horns: Tube acoustics where the per-unit-length impedance failed to render LaTeX and admittance failed to render LaTeX depend on space failed to render LaTeX
Radiation impedance
pdf Δ; Transmission Line
discussion
25 W 3/14
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 3/15
Exam II, Thur @ 7 PM in 168 EL
26 F 3/16 No class (Exam II)
- 12 Sa 3/17
Spring Break Begins
- M 3/19
Spring Break
- W 3/21
Spring Break
- F 3/23
Spring Break
27 13 M 3/26 Transmission line Theory; reflections at junctions
28 W 3/28 Middle ear as a delay line
Starter files for middle ear simulation: [
Attach:ece403_txline.m Δ] [
Attach:ece403_gamma.m Δ]
29 F 3/30 2-Port networks: Transmission line and RC network; T and Z forms
30 14 M 4/2 Measurement of 2-port RC example + demo of
stimresp
31 W 4/4 2-port reciprocal and reversible networks (T and Z forms);
HW-4 (due 4/14/2010)
Measurement Circuit Schematic Δ
32 F 4/6 Throat and Radiation impedance of horn
33 15 M 4/9 2-port transducers and motional impedance (Hunt Chap. 2); Read Weece and Allen (2010)
pdf
34 W 4/11 Loudspeakers: lumped parameter models, waves on diaphragm
35 F 4/13 Moving coil Loudspeaker I; 2-port equations with f = Bl i, E = Bl u
36 16 M 4/16 No class due to lab
37 4/18 No class due to lab
38 F 4/20 Guest Lecture: Lorr Kramer on Audio in Film
39 17 M 4/23 No class due to lab
40 W 4/25 Hand in early version of final paper on loudspeaker analysis
41 F 4/27 Guest Lecture: Malay Gupta (RIM): DSP Signal processing on the RIM platform
42 18 M 4/30 How a guitar works
43 W 5/2 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 5/4 Final Exams begin
Not proofed beyond here
Textbook
- 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 DjVu versions. Either should work fine: traditional version and the open source version djview4 (recommended).
Final grade distribution:
- 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).
Notes and References
