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Aug 26 | 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 29 |
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 31 |
signal properties; common signals |
complex exponentials; (angular)
frequency; fundamental period |
Ex: 1.4, 1.5;
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HW 1 Solution |
Sep 2 |
difference between CT and DT complex
exponentials |
harmonically related complex
exponentials |
38-43 Practice 1 |
HW 2 due |
Sep 5 |
(no class) |
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Sep 7 |
QUIZ 1 system properties |
unit impulse and unit step signals; sifting property; memoryless systems; invertibility | 44-56 Quiz 1 |
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Sep 9 |
system properties | causality; stability; time invariance; linearity; LTI systems | 44-56 |
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Sep 12 |
DT convolution | impulse response; convolution sum |
74-90;
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HW 3 due |
Sep 14 |
CT convolution; system properties expressed by the impulse response |
convolution integral |
90-111; Java applet |
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Sep 16 |
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 19 |
differential and difference
equations |
infinite impulse response (IIR)
and finite impulse response (FIR) systems; recursive system; feedback;
feedforward |
116-127 |
HW 4 due |
Sep 21 |
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 23 |
determination of Fourier series |
analysis equation,
synthesis equation; Fourier series coefficient; spectral coefficient |
186-195; 211-220; Ex: 3.1; Java applet |
Practice
exam HW 5 due |
Sep 26 |
QUIZ 4 properties of Fourier series |
Gibbs phenomenon |
195-211; 221-226 Quiz 4 demo2.m |
conv. practice Quiz 4 practice |
Sep 28 |
discussion of practice exam |
FS practice |
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Sep 29 |
EXAM 1 8:00-9:15am, DBRT 138 |
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Sep 30 |
(no class) |
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Oct 3 |
Fourier
series and LTI systems |
system function; frequency response |
226-231;
Ex: 3.2
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Oct 5 |
properties of CT and DT FS |
Parseval's relationship |
-- |
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Oct 7 |
filters described by differential
and difference equations |
lowpass (LP) filter, highpass (HP) filter, bandpass (BP) filter | 231-250 |
HW 6 due |
Oct 10 |
filters described by differential and difference equations | moving-average filter |
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Oct 12 |
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 14 |
Fourier transform of periodic signals; FT properties | 290-308 |
HW 7 due |
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FALL
BREAK |
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Oct 24 |
FT properties |
duality | 308-330 | |
Oct 26 |
FT properties and examples; proof of integration property |
sign function | 330-333 |
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Oct 28 |
FT transform properties and
examples |
Practice 6 |
HW 8 due |
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Oct 31 |
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 2 |
DT FT of periodic signals; properties of the DT FT | 372-396 demo3.m |
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Nov 4 |
properties of the DT FT | --- |
HW 9 due |
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Nov 7 |
systems characterized by difference equations | 396-400 |
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Nov 9 |
QUIZ 7 DT FT properties; examples |
Quiz 7 |
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Nov 11 |
DT FT properties; examples |
allpass filter |
HW 10 due Practice exam |
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Nov 14 |
discussion of practice exam |
Problem 5.50 |
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Nov 15 |
EXAM 2 8:00-9:15am, DBRT 138 |
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Nov 16 |
discussion of exam 2; introduction to the Laplace transform |
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Nov 18 |
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 21 |
properties of the ROC | 670-682 | ||
Nov 23 |
QUIZ 8 inverse Laplace transform; geometric evaluation of the FT |
system function, transfer function | 683-698 Quiz 8 |
HW 11 due |
THANKSGIVING | ||||
Nov 28 | properties of the Laplace transform | 698-713 | ||
Nov 30 |
(no class) |
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Dec 2 |
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 5 |
QUIZ 9 unilateral Laplace transform |
unilateral Laplace
transform |
Quiz 9 |
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Dec 7 |
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 DBRT 215 |
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Dec 16 |
FINAL
EXAM 8:00-10:00am, DBRT 215 |