## Purdue University

School of Electrical and Computer Engineering

# EE301 Signals and Systems

Spring 2021

##

## Final Exam: Thurs, May 6, 10:30 am-12:30 pm online through
Brightspace. BUT we will open up final exam at 9 am. How long
remain active? Two-hour final.

## Finals Week: May 3-8 Coverage: Chaps 1,2,3,4,7,5 + Chap 10.

## Exam 3: Thurs, Apr 22. Coverage: Primarily Text Chapters 7,5;
Homeworks 8-9. The primary topics covered are Sampling Theory and
the Discrete-Time Fourier Transform, properties and pairs. Your
Executive Summary is my version of Tables 5.1 and 5.2 which you
should print out in advance and have with you when you take the
exam. Online through Brightspace.

## Multiple-choice online through Brightspace. The exam will be
open for a 3-hour window starting at 4:30 pm. The exam runs for 90
mins which should be plenty of time to allow for any internet
hiccups. Bring blanks sheets of paper to do some workout on. You
can also have the Executive Summary (link below) during the exam.
Otherwise, closed-book and no notes. Any violation of the Purdue
Honors Pledge will result in severe penalties.

##

## Main TA: Jiaqi Guo. email: guo498@purdue.edu Jiaqi Zoom mtg
link below

## Jiaqi office hours: Wednesday (afternoon), Thursday (whole
day), Friday (whole day).

## Secondary TA: Jia Zhang email: zhan2030@purdue.edu Jia Webex
mtg link below

## Regular Class Time: T Th : 4:30-5:45 PM in PHYS 114.

## INSTRUCTOR OFFICE HOURS: Prof Zoltowski in MSEE 318: TBD

## INSTRUCTOR EMAIL: michael.zoltowski@gmail.com (preferred) or
mikedz@purdue.edu

##

# HOMEWORKS:

## A video-recording covering the Hmwk 3 Help files below has been
posted as Lecture 7a under Content at Brightspace

## Homework 5 canceled

## SCANNED-IN HMWK PROBLEMS FROM TEXT

## TEXT SCANS PLUS SUPPLEMENTARY INSTRUCTOR NOTES:

## Order that chapters will be covered: 1, 2, 3, 4, 7, 5, 10 (6, 8,
9 not covered).

# CHAPTER 1: SIGNALS

## The notes below will be covered on Jan.19
and are helpful for Hmwk 1:

## The notes below were covered on Jan.
21 and are helpful for Hmwk 1:

# CHAPTER 1: SYSTEMS

## The notes below were covered on Jan.
26 and are helpful for Hmwk 2:

## The notes below were covered on Jan.
28 and are helpful for Hmwk 2:

# CHAPTER 2: LTI SYSTEMS: IMPULSE RESPONSE AND CONVOLUTION

## The notes below were covered on Feb.
2 on CT convolution. (Sects. 2.2 and 2.3)

## The notes below were covered on Feb.
4 and are helpful for Homework 3 (Sect. 2.5):

## VIP *Basic Convolution
Results* Most of the short note-sets directly below are
contained in this set of notes

## The notes below will be covered on Feb.
9 on DT convolution (Sect. 2.1)

## The notes below will be covered on Feb.
11 and are helpful for Homework 4:

## The notes below were covered on Feb.
16 and are helpful for Exam 1:

## The notes below were covered on Feb.18
and are helpful for Exam 1:

# CHAPTER 3: FOURIER SERIES FOR PERIODIC SIGNALS

## The notes below will be covered on Feb.17
covering key points of CT Fourier Series:

## The notes below will be covered on Feb.
23 covering key points of DT Fourier Series:

# CHAPTER 4: FOURIER TRANSFORM

## The notes below will be covered on Feb.
24-26 on Basic Fourier Transform Theory.

## The notes below will be covered on Mar.2
on Basic Fourier Transform Theory.

## The notes below on Fourier Transform Examples will be covered
on Mar.
4 and are helpful for Hmwk. 6.

## The notes below on Fourier Transform Examples will be covered
on Mar.9

## VIP Handout for Exam 2 on Sinc Function Products: Sinc Function Products

## The notes below on Fourier Transform Examples will be covered
on Mar.
11

## The FT notes below on Multiplying a Signal by a Sinewave and
Removing Negative Frequency Content to be covered on Mar.
16

## Scan of Chapter 8 of O&W Textbook on Communication Theory:
O&W Textbook Chap. 8.

## Hmwk 7 Help: add'l FT Examples
Homework 7 Help

## The notes below on Gaussian Signals will be covered on Mar.23

## The notes below on Further Insights into the Fourier Transform
will be covered on Mar.
25 and are helpful for Exam 2.

## Exam 2 Help: add'l FT Example: Text Prob 4.25 Text Prob. 4.25

## Fourier Transform Tables where units for frequency variable is
Hertz: Fourier Transform
Tables

# CHAPTER 7: SAMPLING THEORY

##

## The notes below on Basic Sampling Theory will be covered on Apr.
1and use figures from the beginning of Chapter 7 in the
text.

## The notes below on the Discrete-Time Fourier Transform (DTFT)
were covered on Apr.
6 and also relate the Discrete-Time Fourier Transform
defined in Chap. 5 to the CT Fourier Transform:

## Discrete-Time Fourier Transform (DTFT)Basics DTFT Basics

## Ideal Reconstruction of Bandlimited Signal from its Samples Ideal Signal
Reconstruction

## The notes below on Basic Sampling Theory will be covered on Apr
8 related to Sampling Theory.

## The notes below related to Sampling Theory will be covered on Apr.10

## Below is VIP information on the Benefits of Digital over Analog
in terms of Storage, Transmission, and Flexibility/Programmability

## Digital Upsampling for Practical D/A Conversion Apr.
10

## Matlab example of LDPC code: 1 bit per symbol ldpceg.m ; Matlab example of LDPC code: 2
bits per symbol ldpcQAMeg.m

## Matlab example of Digital Upsampling and Zero-Order-Hold DAC ZOHeg2.m

##

# CHAPTER 5: DISCRETE-TIME FOURIER TRANSFORM

##

## The notes below on the Discrete-Time Fourier Transform (DTFT)
were covered on Apr.15
and also relate the DTFT to the CT Fourier Transform:

## Discrete-Time Fourier Transform (DTFT)Basics DTFT Basics

## The notes below related to the DTFT and helpful for Hmwk 9 will
be covered on Apr.15

## Revised Table 5.1 of DT Fourier Transform Properties : Notation-Revised Table 5.1

## Supplemental notes on Chap.5 related to frequency response of
LTI systems described by difference equations. Chap. 5 Supplement

##

# CHAPTER 10: Z-TRANSFORM

##

## The notes below related to the Z-Transform and will be covered
on Apr.
27-29

## The notes below related to the Z-Transform and will be covered
on Apr.
29

## Supplemental notes on All-Pass Filters. All-Pass Filters

## Reference for CAT Scan Theory, and 2-D Fourier Transform: Section_6.4 ; Supplementary
Notes: Theory of CT Scans

##

## OLD EXAM 1's:

##

## Exam 1 from Spring 2016: Exam 1
; Exam 1 Soln: Exam 1 Soln ;
; Exam 1 Stats: Exam 1 Stats ;

## Exam 1: Thurs., Feb. 25, in ME 1061 4:30-5:45 pm. Exam 1 ;; Condensed Exam 1

##

and Solution to Exam 1.
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## OLD EXAM 2's :

##

### Exam 2 Coverage: Primarily Text Chapter 4, Homeworks 6-7. The
primary topic covered is the Fourier Transform, properties and
pairs. Only a single handwritten two-sided crib sheet is allowed
for this exam, in addition to the textbook (open book) No
calculators. A table of Fourier Transform properties will be
attached to the exam, with the j notation removed and some
additions (e.g. Duality property) relative to Table 4.1 in the
textbook.

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## OLD EXAM 3's:

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### Exam 3 Coverage: Primarily Text Chapters 7 and 5, Homeworks
8-9. Primary coverage topics: Sampling Theory and Discrete-Time
Fourier Transform, properties and pairs. Also, relationship
between DTFT and Fourier Transform when the DT signal was obtained
by sampling a CT (analog) signal. Also, frequency response of DT
LTI systems described by difference equations.

##

## Exam 3 from Spring 2015: Solution:
Exam 3 Solution ; Exam 3 Statistics: Exam 3 Stats

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## OLD FINAL EXAMs:

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Supplementary reading materials: