h37041 s 00005/00000/00119 d D 1.23 24/10/23 00:03:41 bevans 23 22 c Updated e s 00001/00000/00118 d D 1.22 24/10/17 13:18:14 bevans 22 21 c Updated e s 00001/00001/00117 d D 1.21 24/10/17 12:46:43 bevans 21 20 c Updated e s 00007/00000/00111 d D 1.20 24/10/17 12:42:44 bevans 20 19 c Updated e s 00030/00013/00081 d D 1.19 24/10/16 00:14:32 bevans 19 18 c Updated e s 00004/00002/00090 d D 1.18 23/10/12 19:50:41 bevans 18 17 c Updated e s 00006/00005/00086 d D 1.17 23/10/10 14:10:37 bevans 17 16 c Update e s 00001/00001/00090 d D 1.16 23/10/10 13:06:08 bevans 16 15 c Updated e s 00021/00002/00070 d D 1.15 23/10/10 12:59:12 bevans 15 14 c Update e s 00010/00005/00062 d D 1.14 23/10/08 12:52:20 bevans 14 13 c Updated e s 00005/00003/00062 d D 1.13 23/10/08 12:50:09 bevans 13 12 c Updated e s 00001/00001/00064 d D 1.12 21/11/17 08:20:49 bevans 12 11 c Updaated e s 00002/00000/00063 d D 1.11 21/10/21 18:29:01 bevans 11 10 c Updated e s 00004/00000/00059 d D 1.10 21/10/14 21:29:15 bevans 10 9 c Updated e s 00005/00001/00054 d D 1.9 21/10/12 15:42:02 bevans 9 8 c Updated e s 00002/00003/00053 d D 1.8 21/10/12 10:40:40 bevans 8 7 c Updated e s 00002/00001/00054 d D 1.7 21/05/28 15:24:37 bevans 7 6 c Updted e s 00001/00000/00054 d D 1.6 18/10/25 22:58:35 bevans 6 5 c Updated e s 00003/00001/00051 d D 1.5 18/10/18 12:02:18 bevans 5 4 c Updated e s 00001/00001/00051 d D 1.4 18/10/15 23:00:17 bevans 4 3 c Updated e s 00001/00001/00051 d D 1.3 18/06/05 20:14:25 bevans 3 2 c Updated e s 00001/00001/00051 d D 1.2 17/10/10 01:28:25 bevans 2 1 c Updated e s 00052/00000/00000 d D 1.1 17/10/10 01:25:25 bevans 1 0 c date and time created 17/10/10 01:25:25 by bevans e u U f i f e 0 t T I 1 Lecture 8: Convolution and FIR Filters

EE 313 Linear Systems and Signals - Lecture 8

Lecture by Prof. Brian L. Evans

Before Lecture

TBA E 5 I 5 D 8
Next semester's course schedule has been release E 8 I 8 D 13
Spring 2022 course schedule will be released on Wednesday, Oct. 13th E 13 I 13 D 19
Spring 2024 courses E 19 I 19
Spring 2025 courses
- Machine Learning and Communication Systems
- Speech and Audio Processing
E 19 E 13 E 8 E 5

Announcements

Homework #4 is due on Friday, Oct. 13, 2017, by 12:30pm E 2 I 2 D 3
Homework #4 is due on Friday, Oct. 13, 2017, by 12:30pm E 3 I 3 D 4
Homework #4 is due on Friday, Oct. 12, 2018, by 5:00pm E 4 I 4 D 7
Homework #5 is due on Friday, Oct. 19, 2018, by 5:00pm E 7 I 7 D 8
Homework #4 is due on Friday, Oct. 8, 2021, by 5:00pm
Homework #5 is due on Friday, Oct. 15, 2021, by 5:00pm E 8 I 8 D 13
Homework #5 is due on Friday, Oct. 15, 2021, by 11:59pm E 13 I 13 D 19
Homework #5 is due on Friday, Oct. 13, 2023, by 11:59pm E 19 I 19
Homework #5 is due on Friday, Oct. 18, 2023, by 11:59pm E 19 E 13 E 8 E 7 E 4 E 3 E 2

Lecture

Lecture slides on Discrete-Time Convolution in PowerPoint format. I 15
- Fall 2023 Part 1: E 19 I 19
- Fall 2024, Part 1
  - Review of FIR Filters
  - Squaring Block, Not Linear D 21
  - Idealy Delay, Homogeneity Property E 21 I 21
  - Ideal Delay, Homogeneity Property E 21 Part I and
  - Part II
  I 20
- Fall 2024, Part 2
  - Review of LTI Properties: Part I and Part II
  - FIR Filters and Role of Initial Conditions on LTI Properties I 22
  - Decomposing a Discrete-Time Signal into Weighted Sum of Impulses E 22
  I 23
- Fall 2024, Part 3
  - Demo. Signal Processing First Discrete-Time Convolution
  - Demo. Demo two-point averaging filter
  E 23 E 20
Fall 2018: Lecture notes by Mr. Houshang Salimian (TA): Part 1 and Part 2

Supplemental

Fall 2023

Part 1: E 19
- Time Invariance
- Linearity.jpg E 17 I 17
- Time invariance system property
- Linearity system property E 17
- Linearity under observation
- FIR filter initial conditions D 16
- Time Invariance Under Observations -- E 16 I 16 D 17
- Time Invariance Under Observations -- E 16 iniial conditions being zero is a necessary but not sufficient condition for time invariance to hold when observing signals for n ≥ 0 E 17 I 17 for linearity and time invariance to hold
- Time Invariance Under Observation -- when observing signals for n ≥ 0, initial conditions must be zero as a necessary but not sufficient condition for time invariance to hold E 17
D 19
Fall 2023 Part 2: E 19 I 19
Part 2: E 19
- Review of LTI properties
- Discrete-Time convolution formula
- Demo: SP First Discrete-time Convolution E 18
- Handout: Convolution of two rectangular pulses (the discrete-time example is after the continuous-time example) D 18
- Demo: SP First Discrete-time Convolution E 18

E 15 I 13 D 19

D 14

Spring 2021 marker board pictures E 14 I 14 D 15

E 15

Fall 2018: Lecture notes by Mr. Houshang Salimian (TA): D 15 Part 1 E 15 I 15 Part 1 and E 15 Part 2 E 19 D 19

Supplemental

E 19 I 19 Fall 2021 E 19 D 19

Fall 2021 marker board pictures E 19 E 14 E 13 I 5 D 9
Lecture notes taken by Mr. Houshang Salimian (TA): E 9 I 9
- Linearity and shift-invariance properties I 10
- Unit delay system properties when observing for n ≥ 0: homogeneity and D 12 addivity E 12 I 12 additivity E 12
- Initial conditions for LTI FIR properties to hold I 11
- Derivation of discrete-time convolution
- Highest discrete-time frequency E 11 E 10
D 14
D 13
Fall 2018: Lecture notes by Mr. Houshang Salimian (TA): E 13 I 13
Fall 2018: Lecture notes by Mr. Houshang Salimian (TA): E 13 E 9 Part 1 I 6 Part 2 E 14 E 6 E 5 D 19

E 19 I 19 E 19

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