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| Aug 25 | 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 28 |
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 |
| Aug 30 |
signal properties; common signals |
complex exponentials; (angular)
frequency; fundamental period |
Ex: 1.4, 1.5;
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HW 1 Solution |
| Sep 1 |
difference between CT and DT complex
exponentials |
harmonically related complex
exponentials |
38-43 Practice 1 |
HW 2 due |
| Sep 4 |
QUIZ 1 system properties |
unit impulse and unit step signals; sifting property; memoryless systems; invertibility | 44-56 Quiz 1 |
HW 2 Solution |
| Sep 6 |
system properties | causality; stability; time invariance; linearity; LTI systems | 44-56 |
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| Sep 8 |
DT convolution | impulse response; convolution sum |
74-90;
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HW 3 due |
| Sep 11 |
CT convolution; system properties expressed by the impulse response |
convolution integral |
90-111; Java applet |
HW 3 Solution HW 3 (1.41) Solution |
| Sep 13 |
QUIZ 2 differential and difference equations |
homogeneous and
particular solutions; natural response and forced response |
112-116 Ex: 2.2, 2.5; Quiz 2 LTI systems |
Joy of convolution |
| Sep 15 |
differential and difference
equations |
infinite impulse response (IIR)
and finite impulse response (FIR) systems; recursive system; feedback;
feedforward |
116-127 |
HW 4 due |
| Sep 18 |
QUIZ 3 Fourier series representation |
eigenfunction, eigenvalue;
Laplace transform; z-transform; Fourier series representation; first
and second harmonic components |
177-186 Quiz 3 Music signals |
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| Sep 20 |
determination of Fourier series |
analysis equation,
synthesis equation; Fourier series coefficient; spectral coefficient |
186-195; 211-220; Ex: 3.1; Java applet |
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| Sep 22 |
properties of Fourier series |
Gibbs phenomenon |
195-211; 221-226 demo2.m |
HW 5
due Quiz 4 practice |
| Sep 25 |
QUIZ 4
properties of CT and DT FS |
Parseval's relationship |
226-231;
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Practice exam |
| Sep 27 |
discussion of practice exam |
FS practice |
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| Sep 28 |
EXAM 1 8:00-9:15am, DBRT 129 |
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| Sep 29 |
(no class) |
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| Oct 2 |
Fourier series and LTI systems | system function; frequency response | ||
| Oct 4 |
discussion of midterm exam |
-- |
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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 9 |
filters described by differential and difference equations | moving-average filter |
HW 6 due | |
| Oct 11 |
QUIZ 5 introduction to the CT Fourier transform |
CT Fourier transform (CT FT) | 284-290; Ex: 4.1 Quiz 5 |
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| Oct 13 |
Fourier transform of periodic signals; FT properties | 290-308 |
HW 7 due |
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| FALL
BREAK |
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| Oct 23 |
FT properties |
duality | 308-330 | HW 7 solution |
| Oct 25 |
FT properties and examples; proof of integration property |
sign function | 330-333 |
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| Oct 27 |
FT transform properties and
examples |
Practice 6 demo3.m |
HW 8 due |
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| Oct 30 |
QUIZ 6 systems characterized by differential equations; introduction to the DT Fourier transform |
358-372; 908-916 (Appendix A) Quiz 6 |
HW 8 solution | |
| Nov 1 |
DT FT of periodic signals; properties of the DT FT | 372-396 |
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| Nov 3 |
(no class) |
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| Nov 6 |
DT FT properties; examples | HW 9 due | ||
| Nov 8 |
systems characterized by
difference equations |
396-400 | HW 9 solution | |
| Nov 10 |
QUIZ 7 DT FT properties; examples |
allpass filter |
Quiz 7 Practice exam |
HW 10 due |
| Nov 13 |
discussion of practice exam |
Problem 5.50 |
Problem 3 |
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| Nov 14 |
EXAM 2 8:00-9:15am, DBRT 129 |
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| Nov 15 |
discussion of exam 2; introduction to the Laplace transform |
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| Nov 17 |
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 20 |
properties of the ROC | 670-682 | ||
| Nov 22 |
(no class) |
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| THANKSGIVING | ||||
| Nov 27 | inverse Laplace transform; geometric evaluation of the FT | system function, transfer function | 683-698 | HW 11 due |
| Nov 29 |
QUIZ 8 properties of the Laplace transform |
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698-713 Quiz 8 |
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| Dec 1 |
Characterization of LTI systems using the Laplace transform; LTI systems characterized by linear constant-coefficient differential equations | initial- and final-value theorems | 714-720 | |
| Dec 4 |
QUIZ 9 unilateral Laplace transform |
unilateral Laplace
transform |
Quiz 9 |
HW 12 due |
| Dec 6 |
first- and second-order CT
systems;
Bode plots |
zero-state response, zero-input response; break point | 448-460 HW 13 solution |
HW
13 Practice Final |
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| Dec 10 |
discussion of practice exam 5:00-7:00pm 356 Fitzpatrick |
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| Dec 11 |
FINAL
EXAM 8:00-10:00am, DBRT 213 |