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 Part I: 1port Network Theory (5 Lectures: L14,6; 1 Labs: L5)

1
 3
 M
 1/14
 *Introduction to what you will learn this semester: You will understand how a loudspeaker works by learning the basic theory along with handson lab experiments. *Everyone will work in a small group (ideally 4 students per group). *Theory will be taught on Monday and Wed, while the Labs will be on Friday. *Review of ECE210: Fourier {$\cal F$} and Laplace {$\cal L$} Transforms; Impedance {$Z(s)$} and other complex functions of complex frequency {$s$} *The Curious Case of {$\log(1)$},{$j^j$}, {$(1)^t$} and {$j^t$}

2

 W
 1/16
 *Applications of the Laplace transform {$h(t) \leftrightarrow H(s)$} where {$t$} is time and {$s=\sigma+j\omega$} is complexfrequency *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. *Impedance; Analytic functions; *Functions of a complex variable: The calculus of Analytic functions {$dH(s)/ds$}, {$\int_C H(s) ds$}. *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

 F
 1/18
 *Solving differential equations: The characteristic polynomial {$H(s)$} *Properties of {$H(s)=N(s)/D(s)$}: Roots of {$D(s)$} in LHP. *Definition of the Inverse Laplace transform [{${\mathcal L}$}] {${ \cal L}}^{1} $}: {$f(t)u(t) = \int_{\sigma_0j\infty}^{\sigma_0+j\infty} F(s)e^{st}\frac{ds}{2 \pi j}$} *Homework 1: HWa (due 1/28/2010)

0
 4
 M
 1/21
 MLK Day; no class

4

 W
 1/23
 *Definition of an impedance as an Analytic function {$Z(s)$}: Must satisfy the CauchyRiemann conditions, assuring that {$dZ/ds$} and {$\int_C Z(s) ds$} (e.g. {${\cal L}^{1}$}) are defined. *By using the Residue Thm, and the Cauchy Integral Theorm, one may compute {${\cal L}^{1}$}

5

 F
 1/25
 First Lab: 251EL (your iCard should get you into the lab) *Set up groups; learn about hardware

6
 5
 M
 1/28
 *Special classes of impedance functions as: Minimum phase (MP), positive real (PR), and transfer functions as: allpole (StrictlyIIR), allzero (StrictlyFIR) and allpass (AP) functions *Detailed example using of a {$1^{st}$}order lowpass filter via the Laplace Transform {$\equiv \cal L$} In the future, move HWb (Lab Exercise) here, or swap HWc with HWb




 2port Linear System Theory (4 lectures: L7,912, 2 Labs: L8,L11)

7

 W
 1/30
 *2Port networks; Definition of T [Pipes (53)] matrix and conversion method between Z and T matrix [Van Valkenburg (65)] (pdf, djvu)

8

 F
 2/1
 Second lab (251EL) *Setup of hardware; Learn how to make impedance measurements: Circuit Schematic Δ *Calibration of hardware

9
 6
 M
 2/4
 *Terminology (How do you know if you have learned something? Can you explain a complex concept, given a defining word?) *Hunt's 2port impedance model of the loudspeaker *Carlin 5+1 network postulates (pdf, djvu) *Homework 2 (Lab exercise) HWb (due: Wed, Feb 13, 2016)

10

 W
 2/6
 *2port networks: Transformer, Gyrator and transmission lines *Moving coil Loudspeaker I; 2port equations with f = Bl i, E = Bl u

11

 F
 2/8
 No class due to lab *Measurement of 2port RC example + demo of stimresp *Homework 3: HWc (due Mon Feb 20, 2016) *Example of LaTeX (Hint: Try doing your HW using LaTeX!)

12
 7
 M
 2/11
 *2port transducers: motional impedance (Hunt Chap. 2); Read Kim and Allen (2016) pdf *The Maxwell Faraday Law in differential and integral form




 Exam I should appear in Week 12, following Lecture 7




 Acoustic Transmission Line Theory (5 lectures L13,1516,1819; 2 Labs: L14,17; Exam I: L20)

13

 W
 2/13
 *Uniform Transmission line; reflections at junctions *Forward, backward and reflected traveling waves *Reciprocal and reversible 2port networks (T and Z forms)

14

 F
 2/15
 *No class due to lab *First measurement of a loudspeaker input impedance

15
 8
 M
 2/18
 *Review of Acoustic Basic Acoustics (Pressure and Volume velocity, dBSPL, etc.)

16

 W
 2/20
 *Acoustic Intensity, Energy, Power conservation, Parseval's Thm., Bode plots; *Spectral Analysis and random variables: Resistor thermal noise (4kT). HWc Due Today. *Move HWd here in the future

17

 F
 2/22
 No class due to lab

18
 9
 M
 2/25
 Review for Exam I, Lectures 112

19

 W
 2/27
 No class due to: Exam I, 79PM Room: EVRT 241, Wed Feb 27, 2016

20

 F
 3/1
 *Lab




 Part II: Waves and Horns (3 lectures L22,2526,28; 2 Labs: L2324; Exam II: L27)

21
 10
 M
 3/4
 *Acoustic wave equation. *Acoustic horns: Tube acoustics where the perunitlength 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 {$x$} (Horns); HWd: Transmission Lines (due Mon, Mar 11, 2016)

22

 W
 3/6
 *Spherical wave off of a sphere *Radiation (wave) impedance of a sphere *Wave equations and Newton's Principia (July, 1687); d'Alembert solutions in 1 and 3 dimensions of the wave equation

23

 FS
 3/89
 Regular Lab 251EL; Engineering (Open House, UIUC Calendar)

24
 11
 M
 3/11
 *Radiation impedance of a Horn pdf Δ *Transmission Line discussion *Loudspeakers: lumped parameter models, waves on diaphragm *Throat and Radiation impedance of horn *In the future, HWd should be assigned here

25

 W
 3/13
 *Guest speaker Jack Buser; Senior Director, PlayStation Digital Platforms
Sony Computer Entertainment America *jack_buser@playstation.sony.com

26

 Th
 3/14
 Exam II, Thur @ 7 PM in EVRT 241


 F
 3/15
 No class (Exam II)

 12
 MF
 3/1822
 Spring Break

27
 13
 M
 3/25
 *Lecture: How does the middle ear work? *HWe due April 8, 2016; Starter files for middle ear simulation (txline.m Δ,gamma.m Δ); Similar to HW3 of ECE537




 Part III: Signal Processing (3 lectures L27,2930; 2 Labs: L28,31;)

28

 W
 3/27
 Review of the Fourier Transform [e.g.: {$\delta(t) \leftrightarrow 1$}, {$\delta(tT) \leftrightarrow e^{j\omega T}$}; {$1\leftrightarrow 2\pi\delta(\omega)$}, etc.] *Notes on the Laplace {$\delta(t)$} function (i.e., {$u(t) \equiv \int_{\infty}^t\delta(t)dt$} it a function? pdf)

29

 F
 3/29
 No class due to lab

30
 14
 M
 4/1
 *Periodic Functions: {$f((t))_R \equiv \sum_n f(tnR)$} 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 {$\sum_n \delta(tnR) \leftrightarrow \frac{2\pi}{R}\sum_k \delta(\omega k\frac{2\pi}{R})$} or in a a more compact form: {$ \delta((t))_R \leftrightarrow \frac{2\pi}{R} \delta((\omega))_{2\pi/R} $}

31
 Marcelo
 W
 4/3
 *Onesided FTs: Hilbert Transform {$u(t) \leftrightarrow \pi\delta(\omega)+{1 \over j\omega}$} and its Dual {$\delta(t) +\frac{j}{\pi t} \leftrightarrow 2 u(\omega)$} * Cepstral analysis and its applications to Speech processing

32

 F
 4/5
 No class due to lab




 Part III: Hearing and Hearing Aids (5 lectures L27,2930,3233; 2 Labs: L28,31,34;)

33
 15
 M
 4/8
 * Lecture: Middle ear as a delay line *Read Rosowski, Carney, Peak (1988) The radiation impedance of the external ear of cat: Measurements and applications (pdf) HWe due

34

 W
 4/10
 *The intensity JND and Loudness: Weber's, Fechner's and Steven's Laws; Brain Image

35

 F
 4/12
 Final lab

36
 16
 M
 4/15
 *How does a microphone work?; SigmaDelta 24 bit oversampled with noise shaping analog to digital converters: A lightweight overview.

37

 W
 4/17
 *Noori Kim Lecture: Modeling a hearing aid (ear bud) receiver

38

 F
 4/19
 *Guest Lecture: Lorr Kramer on Audio in Film




 Part IV: Selected Topics (5 lectures L3840,4243, 1 Lab: 41)

39
 17
 M
 4/22
 *History of Acoustics, Part II;History of acoustics History & (Hunt Ch. 1) *Newton's speed of sound; Lagrange & Laplace+adiabatic history *Discussion of your final project on Loudspeaker measurements: Content, format, style, grading (ECE403 project)

40

 W
 4/24
 *Lecture Final summary of how a loudspeaker work

41

 F
 4/26
 Ryan group presentation

42
 18
 M
 4/29
 *Austin group presentation *Steven group presentation *Hand in preliminary version of final paper on loudspeaker analysis

43

 W
 5/1
 *Group 4 presentation (Marcelo) *Room acoustics: 1 wall = 1 image, 2 walls = {$\infty$} images; 6 walls and arrays of images; simulation methods pdf; Is a room minimum phase and thus invertable? djvu


 Tr
 5/2
 Reading Day; Final project due by midnight: Please give me both a paper and pdf copy. NO DOC files



 F
 5/3
 Final Exams begin (Our final is the Lab project paper on loudspeakers)




 Not fully proofed beyond here
