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EE330, Signals and Systems, introduces the
Fourier and Laplace transforms as methods to model and analyze
continuous-time linear systems (primarily first and second-order circuits)
in the frequency domain. Parallels between the time and frequency domains
are discussed, and sampling and filter design issues are developed. The
course makes extensive use of Matlab as a computational and visualization
tool. Labs reinforce theory and develop hardware skills.
Prerequisites: EE 223 and MA311. (3 lecture hours)
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Syllabus
Link
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Lecture Schedule
In the following
table, the readings and homework are assigned on the day listed and due on
the following lesson. The readings are taken from Johnson & Johnson
unless otherwise noted.
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| # |
Date |
Title |
Read |
Homework |
| 1 |
13 Jan |
Phasor
review, introduction to Laplace |
12.1 |
SP Sheet 1 |
| 2 |
15 Jan |
Laplace
transform by integral definition |
12.2 |
P12.1ab,
P12.13a, P12.15b, P12.20ab, P12.21a |
| 3 |
22 Jan |
Laplace
transform properties & tables |
12.3 |
SP
Sheet 2 |
| 4 |
27 Jan |
Partial
fraction expansion I |
12.4 |
SP Sheet 3 |
| 5 |
29 Jan |
Partial
fraction expansion II |
12.4 |
E12.4.1,
P12.31ab, P12.36ab. Do each problem by hand and using matlab;
attach neat matlab printout |
| 6 |
3 Feb |
Modeling and
using Laplace transforms to solve differential equations |
12.5 |
P12.41a,
P12.43 (solve for v(t), not i(t)), P12.44a, P13.1, P13.4 (answer last two as a polynomial
ratio). |
| 7 |
5 Feb |
Laplace
phasor circuit analysis |
13.1, 13.2 |
E13.2.1,
P13.2, P13.14a, P13.21 all in polynomial ratio form |
| 8 |
10 Feb |
Transfer
functions |
13.3, 13.4 |
P13.27,
P13.28, P13.31, P13.33 (hint: J&J solution wrong) |
| 9 |
12 Feb |
S-plane,
Initial/Final Value Theorem |
13.4, 13.5 |
SP
Sheet 4 |
| 10 |
17 Feb |
Convolution |
13.6 |
SP Sheet 5 |
| 11 |
19 Feb |
Review for
Exam 1 |
12.1-13.6 |
Review for
Exam I |
| 12 |
24 Feb |
Exam 1 |
12.1-13.6 |
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| 13 |
26 Feb |
System
frequency response |
14.1, 14.2 |
P14.1 (all,
let w=10rad/s), P14.2, P14.3, P14.4 (use Matlab) |
| 14 |
3 Mar |
Bode plots |
14.2-14.4 |
SP
Sheet 6 |
| 15 |
5 Mar |
Filters |
14.6 |
Prepare for
Lab 1 |
| 16 |
10 Mar |
Lab:
Filter design: Remove vocals |
Lab 1 |
Lab checkoff
by CAD, 13 Mar. Lab reports due 13 Mar |
| 17 |
12 Mar |
Lab:
Filter design: Remove vocals |
Lab 1 |
Lab checkoff
by CAD, 13 Mar. Lab reports due 13 Mar |
| 18 |
24 Mar |
Fourier
Analysis: Overview |
17.1 |
SP
Sheet 7 |
| 19 |
26 Mar |
Trigonometric Fourier series I: mathematics |
17.2 |
P17.13, find
a0, a1, a2, b1, b2 only
P17.16 a) find a0, a1, a2, b1, b2 only |
| 20 |
31 Mar |
Trigonometric Fourier series II: intuition |
17.2 |
SP Sheet 8 |
| 21 |
2 Apr |
Complex
exponential Fourier series |
17.3 |
TBD |
| 22 |
9 Apr |
Circuit
response to a periodic input |
17.4 |
SP Sheet 9 |
| 23 |
14 Apr |
Review for
Exam II |
14, 17 |
Review for
Exam II |
| 24 |
16 Apr |
Exam II |
14, 17 |
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| 25 |
21 Apr |
Discrete
spectral plots |
17.5 |
SP Sheet 10 |
| 26 |
23 Apr |
Fourier
transform (aperiodic) |
17.6 |
E17.6.1,
E17.6.5, P17.45a, P17.46, P17.48 |
| 27 |
28 Apr |
Final exam
review I & control example |
12-13 |
Prepare for
final examination |
| 28 |
30 Apr |
Final exam
review II & communication ex. |
14, filters |
Prepare for
final examination |
| 29 |
TBA |
Final
Examination |
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Other
Transform Tables
Active Filter Design
for Matlab: Can design and
analyze active filters up to 8th order, and can show their effect upon a
user-provided waveform
Active Filter Design Manual, for above program
Filter Free
Can design passive, active, digital, and transmission line
filters, but limited to 3rd order
Complex
S-plane System Transfer Function Explorer (drag around
poles and zeros to create any system and observe its time and
frequency response)
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