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Aug 27 | signal classes |
continuous-time (CT) and discrete-time
(DT) signals; signal energy and power |
1-14; 71 Ex: 1.1 |
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Aug 30 | signal transformations |
time shift, reversal, and scaling;
periodic signals; even and odd signals |
15-38; Ex: 1.2, 1.3 Unit circle Quiz 0 |
HW 1 due |
Sep 1 |
signal properties; common signals |
complex exponentials; (angular)
frequency; fundamental period; |
Ex: 1.4, 1.5;
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Sep 3 | difference between CT and DT complex exponentials |
harmonically related complex exponentials |
38-56 Practice 1 |
HW 2 due HW 1 solution |
Sep 6 |
QUIZ 1 system properties |
unit impulse and unit
step signals; sifting property; memoryless systems; invertibility |
Quiz 1 |
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Sep 8 |
system properties |
causality; stability; time invariance;
linearity; LTI system |
74-90 |
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Sep 10 |
DT convolution |
impulse response; convolution
sum |
90-102; Java applet |
HW 3 due |
Sep 13 |
CT convolution; system properties expressed by the impulse response |
convolution integral |
103-111; Java applet |
Joy of convolution |
Sep 15 |
QUIZ 2 differential and difference equations |
homogeneous and particular
solutions; natural response and forces response |
112-116 Ex: 2.2, 2.5; Quiz 2 LTI systems |
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Sep 17 |
differential and difference equations |
infinite impulse response (IIR) and
finite impulse response (FIR) systems; recursive system; feedback; feedforward |
116-127 |
HW 4 due |
Sep 20 |
QUIZ 3 Fourier series representation |
eigenfunction, eigenvalue; Laplace
transform; z-transform; Fourier series representation; first and second harmonic
components |
177-186 Quiz 3 |
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Sep 22 |
determination of Fourier series |
analysis equation, synthesis
equation; Fourier series coefficient; spectral coefficient |
186-195; 211-220; Ex: 3.1; Java applet |
Practice exam |
Sep 24 |
properties of Fourier series |
Gibbs phenomenon |
195-211; 221-226 |
HW 5 due conv. practice |
Sep 27 |
QUIZ 4 Fourier series and LTI systems (Daniele Puccinelli) |
system function; frequency
response |
226-231; Ex: 3.2 Quiz 4 |
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Sep 29 |
discussion of practice exam (Daniele Puccinelli) |
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Sep 30 |
EXAM 1 8:00-9:15am, DBRT 129 |
Solution |
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Oct 1 |
(no class) |
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Oct 4 |
properties of CT and DT FS |
Parseval's relationship |
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Oct 6 |
filters described by differential
and difference equations |
lowpass (LP) filter, highpass (HP) filter, bandpass (BP) filter | 231-250 |
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Oct 8 |
filters described by differential and difference equations | CT Fourier transform
(CT FT) |
HW 6 due |
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Oct 11 |
introduction to the CT Fourier transform | 284-290; Ex: 4.1 |
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Oct 13 |
QUIZ 5 Fourier transform of periodic signals; FT properties |
290-308 Quiz 5 |
HW 7 due |
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Oct 15 |
(no class) |
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FALL BREAK |
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Oct 25 |
FT properties (Daniele Puccinelli) |
duality | 308-330 | |
Oct 27 |
FT properties and examples; proof of integration property (Daniele Puccinelli) |
sign function | 330-333 |
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Oct 29 |
FT transform properties and examples |
Practice 6 |
HW 8 due |
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Nov 1 |
QUIZ 6 systems characterized by differential equations; introduction to the DT Fourier transform |
358-372; 908-916 (Appendix A) Quiz 6 |
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Nov 3 |
DT FT of periodic signals; properties of the DT FT | 372-396 | ||
Nov 5 |
properties of the DT FT | --- |
HW 9 due |
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Nov 8 |
systems characterized by difference equations | 396-400 |
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Nov 10 |
QUIZ 7 DT FT properties; examples |
Quiz 7 |
HW 10 due | |
Nov 12 |
DT FT properties; examples |
allpass filter |
Practice exam |
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Nov 15 |
discussion of practice exam |
Problem 5.50 |
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Nov 16 |
EXAM 2 8:00-9:15am, DBRT 129 |
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Nov 17 |
discussion of exam 2; introduction to the Laplace transform |
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Nov 19 |
introduction to the Laplace transform | bilateral Laplace transform, region of convergence (ROC), pole-zero plot | 654-670; Ex: 9.1 |
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Nov 22 |
properties of the ROC | 670-682 | HW 11 due | |
Nov 24 |
(no class) |
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THANKSGIVING | ||||
Nov 29 | inverse Laplace transform; geometric evaluation of the FT | 683-698 | ||
Dec 1 |
QUIZ 8 properties of the Laplace transform |
system function, transfer function | 698-713 Quiz 8 |
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Dec 3 |
characterization of LTI systems using the Laplace transform; LTI systems characterized by linear constant-coefficient differential equations | initial- and final-value theorems | 714-720 | HW 12 due |
Dec 6 |
QUIZ 9 unilateral Laplace transform |
unilateral Laplace transform |
Quiz 9 |
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Dec 8 |
first- and second-order CT systems;
Bode plots |
zero-state response, zero-input response; break point | 448-460 |
HW
13 Practice Final |
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Dec 13 |
discussion of practice exam 6:00-7:30pm 118 DBRT |
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Dec 16 |
FINAL EXAM 8:00-10:00am, 120 DBRT |