h59357 s 00017/00013/00078 d D 1.31 24/09/25 01:45:49 bevans 31 30 c Updat4ed e s 00001/00003/00090 d D 1.30 24/09/17 10:43:48 bevans 30 29 c Updated e s 00003/00000/00090 d D 1.29 23/09/24 13:12:34 bevans 29 28 c Updated e s 00002/00002/00088 d D 1.28 23/09/20 22:11:34 bevans 28 27 c Updated e s 00006/00003/00084 d D 1.27 23/09/19 12:47:43 bevans 27 26 c Updatede e s 00001/00001/00086 d D 1.26 23/09/19 10:48:01 bevans 26 25 c Updated e s 00023/00017/00064 d D 1.25 23/09/19 10:47:17 bevans 25 24 c Updated e s 00002/00002/00079 d D 1.24 23/09/14 10:57:40 bevans 24 23 c e s 00001/00001/00080 d D 1.23 21/09/23 23:04:06 bevans 23 22 c Updated e s 00002/00000/00079 d D 1.22 21/09/23 22:48:32 bevans 22 21 c Update e s 00004/00000/00075 d D 1.21 21/09/23 22:44:03 bevans 21 20 c Updated e s 00001/00001/00074 d D 1.20 21/09/23 10:31:11 bevans 20 19 c Updated e s 00001/00000/00074 d D 1.19 21/09/23 10:29:09 bevans 19 18 c Update e s 00002/00000/00072 d D 1.18 21/09/23 10:21:41 bevans 18 17 c Updated e s 00004/00005/00068 d D 1.17 21/09/23 10:17:33 bevans 17 16 c Updated e s 00008/00004/00065 d D 1.16 21/09/22 23:08:43 bevans 16 15 c Udpated e s 00005/00000/00064 d D 1.15 21/09/17 21:26:15 bevans 15 14 c Updated e s 00002/00007/00062 d D 1.14 21/09/16 10:48:03 bevans 14 13 c Updated e s 00003/00005/00066 d D 1.13 21/05/28 15:17:36 bevans 13 12 c Updated e s 00005/00002/00066 d D 1.12 18/09/30 11:50:20 bevans 12 11 c Updated e s 00003/00002/00065 d D 1.11 18/09/27 17:04:52 bevans 11 10 c Updated e s 00007/00003/00060 d D 1.10 18/09/23 17:46:42 bevans 10 9 c Updated e s 00003/00000/00060 d D 1.9 18/09/20 21:25:27 bevans 9 8 c Updated e s 00006/00004/00054 d D 1.8 18/09/20 11:12:48 bevans 8 7 c Updated e s 00005/00009/00053 d D 1.7 18/06/05 20:10:44 bevans 7 6 c Updated e s 00002/00000/00060 d D 1.6 17/10/04 22:23:41 bevans 6 5 c Updated e s 00002/00005/00058 d D 1.5 17/09/26 22:05:16 bevans 5 4 c Updated e s 00000/00006/00063 d D 1.4 17/09/26 12:17:54 bevans 4 3 c Updated e s 00014/00001/00055 d D 1.3 17/09/26 12:17:08 bevans 3 2 c Updated e s 00004/00000/00052 d D 1.2 17/09/23 23:26:27 bevans 2 1 c Updated e s 00052/00000/00000 d D 1.1 17/09/21 20:09:56 bevans 1 0 c date and time created 17/09/21 20:09:56 by bevans e u U f i f e 0 t T I 1 Lecture 5: Sampling and Aliasing

EE 313 Linear Systems and Signals - Lecture 5

Lecture by Prof. Brian L. Evans

D 4

Before Lecture

E 4

Announcements

Mini-Project #1 is due by 12:30pm on Friday, Sept. 22, 2017 E 3 I 3 D 7
Mini-Project #1 grades:
- Max: 99
- Median: 88
- Min: 0
- Average: 70.4
- Std Dev: 32.8 E 5 I 5
- Max: 99, Median: 88, Min: 0
- Average: 70.4, Std Dev: 32.8 E 5
Please first meet with Ms. Ghosh regarding any concerns E 7 I 7 D 8
Mini-Project #1 grades: TBA. Please first meet with Mr. Salimian regarding any concerns E 7 about the grading.
E 8 I 8 D 10
Mini-Project #1 is due on Friday, September 21, 2018, by 5 pm. E 10 I 10 D 13
Mini-Project #1 was initially due on Friday, September 21, 2018, by 5 pm, and the deadline was extended to Sunday, September 23, 2018, by 5 pm. E 13 I 13 D 14
Mini-Project #1 is due on Tuesday, Sep. 21, by 5 pm. E 14 I 14 D 17
Mini-Project #1 is due on Tuesday, Sep. 21, by 11:59 pm. E 17 I 17 D 24
Mini-Project #1 is due on Wednesday, Sep. 22nd, by 11:59 pm. E 24 I 24 D 25
Mini-Project #1 is due on Tuesday, Sep. 19 by 11:59 pm. E 24 E 17 E 14 E 13 E 10
E 25 I 25 D 30
Mini-Project #1 is due on Wednesday, Sep. 20, by 11:59 pm. E 25 D 14
Once the Mini-Projects have been graded, please first meet Mr. Salimian regarding any concerns about the grading. E 8 Then, I'd be glad to meet with you for any concerns that couldn't be resolved.
E 14 D 7
Homework #3 is due by 12:30pm on Friday, Sept. 29, 2017 E 7 I 7 D 8
Homework #3 is due by 5:00pm on Friday, Sept. 28, 2018 E 8 I 8 D 10
Homework #3 will be assigned on Friday, September 21st, and due by 5:00pm on Friday, Sept. 28, 2018 E 10 I 10 D 13
Due to the work required for the mini-project, homework #3 will have two problems instead of four problems, and it is due by 5:00pm on Friday, Sept. 28, 2018. E 13 I 13 D 17
Homework #3 will have two problems instead of four D 14 problems, and it is due by 5:00pm on Friday, Sep. 24, 2021. E 14 I 14 problems, and it will be due by 11:59pm on Friday, Sep. 24, 2021. E 17 I 17
Homework #3 will have two problems instead of four problems, and D 24 it will be due by 11:59pm on Friday, Sep. 24, 2021. E 24 I 24 it will be due by 11:59pm on Friday, Sep. 22, 2023. E 30 I 30 D 31
Mini-Project #1 is due on Friday, Sep. 20, by 11:59 pm. E 31 I 31
Mini-project #1 is due on Tuesday, Sep. 24, by 11:59 pm. E 31 E 30 E 24 E 17 I 15 D 25
E 25
"Justice - Helix", Daniel En Test Remix. D 17 Suggested by a Spring 2015 EE 445S student**. E 17 I 17 D 25 Suggested by a student in the Spring 2015 EE 445S Real-Time DSP Lab course I 18
E 25 I 25 Suggested by a student in the Fall 2023 EE 313 course. E 25 D 31
Camera shutter speed and frame rate match helicopter`s rotor I 19 D 20 by Chris Fay, March 3, 2017 E 20 I 20 by Chris Fay, March 3, 2017, to show aliasing effects E 31 I 25
"History of Electronic Music", StomperYoshi, 2013. Song list. E 25 E 20 E 19 E 18 E 17 E 15 E 14 E 13 E 10 E 8 E 7 E 3

I 15 D 17 ** EE 445S is the Real-Time Digital Signal Processing Laboratory course E 17 E 15

Lecture

Lecture slides on Sampling and Aliasing in PowerPoint format. I 2
- Audio recording D 7 of the presentation on Sept. 21, 2017, of slides 5-1 to 5-12 in MP3 format E 7 I 7 of the Fall 2017 presentation on Sept. 21, 2017, of slides 5-1 to 5-12 in MP3 format E 7 I 6
- Audio recording D 7 of the presentation on Sept. 26, 2017, of slides 5-13 to 6-2 in MP3 format E 7 I 7 of the Fall 2017 presentation on Sept. 26, 2017, of slides 5-13 to 6-2 in MP3 format E 16 I 16 D 25
- Fall 2021 Part 1: lowpass filters, sampling period , discrete-time frequencies, and aliasing I 21
- Fall 2021 Part 2: review of sampling and aliasing; and Fourier analysis methods I 22
- "Amazing Water & Sound Experiment #2" and E 25 I 25 D 31
- Fall 2023 Part 1: Interpolation E 31
- Demo. I 31 Camera shutter speed and frame rate match helicopter`s rotor by Chris Fay, March 3, 2017, to show aliasing effects
- Demo. E 31 "Amazing Water & Sound Experiment #2" and E 25 analysis for frame rate equal to hose oscillation rate I 27 D 31
- Fall 2023 Part 2: Sampling theorem and aliasing examples I 29
- Fall 2023 Part 3: Discrete-time frequency domain is periodic and interpolation of data E 31 I 31
- Fall 2024 Part 1: Analog RC Lowpass Filter and Sampling and discrete-time and continuous-time frequencies captured
- Fall 2024 Part 2: Review of sampling and discrete-time and continuous-time frequencies captured E 31 E 29
- Fall 2018 lecture notes taken by Mr. Houshang Salimian (TA): Part 1 - D 28 Part 2 E 28 I 28 Part 2 - Part 3 E 28 E 27 E 22 E 21
- Fall 2017 audio recordings: slides 5-1 to 5-12 and slides 5-13 to 6-2 E 16 E 7 E 6
I 9 D 31
E 31 I 10 D 12
Appendix D Discrete-Time Periodicity E 12 I 12
Handout D Discrete-Time Periodicity E 12 D 31
E 31 I 12
Handout N Fourier Series Derviation D 25
E 25 I 25 D 28 Part 3 E 28

Supplemental Material

Fall 2023 Part 1: Interpolation
Fall 2023 Part 2: Sampling theorem and aliasing examples
Fall 2023 Part 3: Discrete-time frequency domain is periodic and interpolation of data E 31
Fall 2021 Part 1: lowpass filters, sampling period , discrete-time frequencies, and aliasing
Fall 2021 Part 2: review of sampling and aliasing; and Fourier analysis methods E 25 E 12 E 10 D 11
Lecture notes taken by Mr. Houshang Salimian (TA) on Sept. 20, 2018. E 11 I 11 D 23
Lecture notes taken by Mr. Houshang Salimian (TA): E 23 I 23 D 27
Fall 2018 lecture notes taken by Mr. Houshang Salimian (TA): E 23 Part 1 - D 12 Part 2 E 12 I 12 D 26 Part 2 - E 26 I 26 Part 2 E 27 E 26 D 25 Part 3 E 25 E 12 E 11 E 9 E 2

Last updated %G%. Send comments to Prof. Evans at bevans@ece.utexas.edu E 1