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Lecture 1: Introduction
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Lecture 2: Periodic Signals
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EE 313 Linear Systems and Signals - Lecture 1
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EE 313 Linear Systems and Signals - Lecture 2
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Lecture by Prof. Brian L. Evans
Before Lecture
Announcements
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- Homework #1 is due by 12:30pm on Friday, Sept. 8, 2017
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- Homework #1 is due by 5:00pm on Friday, Sept. 7, 2018, by electronic submission on Canvas
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- Homework #1 is due by 5:00pm on Friday, Sept. 2, 2021, by electronic submission on Canvas
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- Homework #1 is due by 11:59pm on Friday, Sept. 2, 2021, by electronic submission on Canvas
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- Virtual
ECE Bonanza Career Fair, Wednesday, Sep. 1, 2021, 4:30-7:00pm
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- UT Austin Job Expos
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- UT Austin Job Expos open to all UT Austin students and alumni
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- Engineering Expo,
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Tuesday & Wednesday, Sept. 12-13, 2017, 10am-4pm, Erwin Center
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Tuesday & Wednesday, Sep. 11-12, 2018, 10am-4pm, Erwin Center, open to all UT Austin students and alumni
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- Technology & Science Career Fair,
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Thursday, Sept. 14, 2017, 1pm-5pm, Erwin Center
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Thursday, Sep. 20, 2018, 1pm-5pm, Erwin Center, open to all UT Austin students and alumni
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- Bioscience and Biotechnology Career Fair,
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Wednesday, Oct. 18, 2017, Texas Union Building
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Wednesday, Oct. 31, 2018, Texas Union Ballroom
(UNB 3.202)
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Tuesday, Sep. 11, 2018, 11am-5pm, and Wednesday, Sep. 12, 2018, 10am-4pm,
Erwin Center, open to all UT Austin students and alumni
- Technology & Science Career Fair,
Thursday, Sep. 20, 2018, 1pm-5pm,
Erwin Center, open to all UT Austin students and alumni
- Bioscience and Biotechnology Career Fair,
Wednesday, Oct. 31, 2018, 1pm-5pm,
Texas Union Ballroom (UNB 3.202)
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- Virtual Engineering Expo (RSVP required)
Wednesday, Sep. 8, 2021, and Thursday, Sep. 9, 2021, 10am-5pm
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- Technology & Science Career Fair (RSVP required) TBA
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- Virtual Technology & Science Career Fair (RSVP required) Wednesday, Sep. 15, 2021, 11am-5pm
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- Virtual Bioscience & Biotechnology Career Fair
Wednesday, Oct. 27, 2021.
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- Virtual Technology & Science Career Fair (RSVP required) Wednesday, Sep. 15, 2021, 11am-5pm
- Virtual Bioscience & Biotechnology Career Fair (RSVP required) Wednesday, Oct. 27, 2021, times TBA.
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- Homework #1 is due by 11:59pm on Friday, Sept. l, 2023, by electronic submission via Gradescope.
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- Homework #1 is due by 11:59pm on Friday, Sept. 6, 2024, by electronic submission via Gradescope.
- Career Fairs. UT Austin Job Expos open to all UT Austin students and alumni
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- ECE Bonanza,
5:30-8:00pm on Wednesday, Sep. 4, 2024, Engineering Education and Research (EER) Building, Lower Level Atrium.
RSVP here.
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- Engineering Expo:
10am-4pm on Tuesday, Sep. 10, 2024 and Wednesday, Sep. 11, 2024, Recreational Sports Center
- Technology & Science Career Fair: 12-4pm on Thursday, Sep. 12, 2024, Recreational Sports Center.
Of particular interest for those interested in machine learning and software engineering.
- Bioscience & Biotechnology Career Fair:
12-4pm on Wednesday, Oct. 23, 2024, Virtual Event
There's also a virtual seminar on Tuesday, Sept. 3, 5-6pm,
on how to prepare for the Technology & Science Career Fair.
- Job sites.
It's also helpful to post your resume at the
Engineering Career Assistance Center,
have a LinkedIn page and enable the OpenToWork flag, and
search for jobs on LinkedIn.com, Indeed.com, GlassDoor.com, etc.
- Graduate Studies.
I have put together
suggestions for prospective and current graduate students
that I hope are helpful to you.
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- Additional Resources.
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- Lecture slides on Periodic Signals in
PowerPoint format.
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- Fall 2024, Part 1
- Review. The Sampling Theorem says choose the sampling rate
fs so that
fs > 2 fmax
where so that frequencies up to and including the
frequency of interest, fmax, are captured.
- Review. Interpreting the Sampling Theorem.
We can divide both sides of the inequality
fs > 2 fmax
to obtain
fmax < (1/2) fs.
That is, sampling at a sampling rate of fs
captures frequencies up to, but not including, (1/2) fs.
- Slide 1-20. Zero frequency means a constant signal.
Consider x(t) = cos(2 pi f0 t).
Let f0 = 0, v(t) = cos(2 pi (0 Hz) t) = 1, which is a constant.
A constant value (DC value) has a frequency of 0 Hz.
- Slide 1-20. The playback of the sinusoid at 440 Hz was much quieter
than the sinusoid of 440 Hz squared which has a DC component and a component
at 880 Hz. Part of the explanation is that the human auditory system
has a much stronger response to 880 Hz than 440 Hz. See the
A-weighted human hearing curves.
- Slide 2-4. Phase shift. A phase shift of pi/4 looks the same as a phase shift
of 2 pi + pi/4.
- Slide 2-6. The sampling rate fs is 1 / Ts.
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- Fall 2024, Part 2
- Slide 2-8. Inverse Euler's formulas. Convert sinusoidal signals in
expressions to complex sinusoids to aid in simplifying the expression.
- ej theta + e-j theta = 2 cos(theta)
- ej theta - e-j theta = 2 j sin(theta)
- Slide 2-9.
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Even and Odd Symmetry
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Even and odd symmetry
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- Slide 2-10.
x(t) = cos(2 pi 440 t) which takes values on [-1, 1].
For x(t),
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A0 = 0,
A1 = 1, f1 = 440, phi1 = 0.
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A0 = 0
A1 = 1, f1 = 440, phi1 = 0
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Input x(t) into a squaring block to produce output
y(t) = x2(t) = cos2(2 pi 440 t) which takes values on [0, 1].
y(t) = (1/2) + (1/2) cos(2 pi (880) t) by using the trigonometric identity for
cos2(theta) = (1/2) + (1/2) cos(2 theta).
For y(t),
A0 = 1/2
A1 = 0, f1 = 440, phi1 = 0
A2 = 1/2, f2 = 880, phi2 = 0
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Last updated %G%.
Send comments to Prof. Evans at
bevans@ece.utexas.edu
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