Purdue University
School of Electrical and Computer Engineering

EE301 Signals and Systems
Spring 2009
Prof. Michael D. Zoltowski

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Last Updated: Thursday, 4/30/09, 10:30 AM.

VIP: I will NOT have the Exam 3's graded in time to hand out in class today. My apologies. They can be picked up tomorrow (Friday) from Bonnie or Sherry in MSEE 330 during their normal working hours. ALSO, my office hours this morning (Thursday) are moved due to tomorrow. We'll discuss in class today.

Final Exam scheduled for Monday, May 4, from 10:20 am to 12:20 pnm in CL50 224. Final class on Thursday, April 30, will be review session for Final Exam. Coverage is comprehensive. Same rules as previous exams. See old Final Exams below (note: solutions for final exams are not posted.)

Pictures from conference in Taipei: ICASSP 2009 Pictures

Pictures from Taipei: ICASSP 2009 Banquet

Pictures from Taipei: Taipei Scenery Pictures

Pictures from Taipei: Taipei Airport Pictures

I was at a conference in Taiwan during the entire week of April 20-24. ICASSP 2009 Conference Web Site

Exam 3: Exam 3 and Solution to Exam 3. Exam 3 ran Thursday, April 23 in-class.

Exam 3 ran Thursday, April 23 in-class. 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. Working through my old exam 3's without looking at the solution will help prepare you for our Exam 3 this semester.

*VIP* Homework 9 on Chap. 5 material (DTFT) was due Thurs., April 16: Homework 9 and Hwmk 9 Solution

VIP "Big Picture" notes tying together Chapters 4, 5, 7, and 10: Relationship between DT and CT Fourier Transform

Exam 2: Exam 2 and Block Diagrams and Solution to Exam 2. and Exam 2 Histogram

Exam 2 ran Thursday, April 2 in-class.

*VIP* Please see email sent to everyone today (4/1) for some clarifications regarding Exam 2. Only a single handwritten two-sided crib sheet is allowed for this exam, in addition to the textbook. 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.

Coverage: Primarily Text Chapter 4, Homeworks 6-7. The primary topic covered is the Fourier Transform, properties and pairs. Working through my old exam 2's without looking at the solution will help prepare you for our Exam 2 this semester.

*VIP* Homework 8 on Chap. 7 material (sampling theory) due Tues., March 31: Homework 8 and Solution to Homework 8.

*VIP* Homework 7 was due Thurs., March 12: Homework 7 and Solution to Homework 7.

*UPDATED* Revised Table 4.1 of Fourier Transform Properties : Notation-Revised Table 4.1 plus Additional Properties

Additional Table of Fourier Transform Pairs : Fourier Transform Pairs

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

Prof. Zoltowski's weekly Office Hours are Tues/Thurs before class from 11:30 am to 1 pm in MSEE 356.

Exam 1 from Spring 2009: Exam 1 and Solution to Exam 1. Mean=73.6, Std dev=16, Median=76

Exam 1 Histogram

*VIP* First Exam is Tuesday, Feb. 24 in-class: open book plus one loose 8 1/2 x 11 handwritten sheet of paper.

Coverage: Text Chaps 1-3, Homeworks 1-5. Fourier Series will be included on the exam as in my old Exam 1's posted below along with solutions. You should try the old exams without looking at the solution. (The 2008 exam did not include Fourier Series.)

VIP Course Information Including Office Hours (PDF File).

Catalog Course Description

Course Outline

Mini-Tutorial on Complex Numbers: Complex Number Overview

WEEKLY HELP SESSIONS: *VIP* weekly Tues at 7 pm in EE117 (1st help session tonight, 1/20, in EE115)

TA OFFICE HOURS: Daniel Aguiar in MSEE 386H: MW 2:00-4:00 pm and TTh 4:00-6:00 pm.

INSTRUCTOR OFFICE HOURS: Prof Zoltowski in MSEE 356: T Th 11:30 am - 1 pm

Matlab code: rectangle function.

Matlab code to solve Prob. 1.21

Homework 1 on Signals. Due Thurs, Jan 22 in class.

Homework 1 Solution

Homework 2 on Systems. Due Thurs, Jan 29 in class.

Homework 2 Solutions

Homework 3 on Continous Time Convolution. Due Thurs, Feb. 5 in class.

Homework 3 Solutions

Convolution of Rectangle with Triangle

Homework 4 on Discrete-Time Convolution. Due Thurs, Feb. 12 in class.

Homework 4 Solutions

Homework 5 on Fourier Series. Does NOT have to be turned in. Solutions will be posted on Thurs, Feb. 19.

Matlab code: Fourier Series Coeffs for Prob. 3.22

Homework 5 Solutions

VIP Supplement to Homework 5 Solutions

Homework 6 on Fourier Transform (Chap 4).

Solution to Hmwk 6 using Tables: 4.1, 4.2, 4.4, 4.21

Solution to Hmwk 6 via Brute Force Integral

Homework 7 on Fourier Transform Theory (Chap 4). Thurs., Mar. 12.

Solution to Homework 7.

Hmwk 8 on Chap. 7 Sampling Theory: Homework 8 and Solution to Homework 8.

Hmwk 9 on Chap. 5 DTFT: Homework 9 and Hwmk 9 Solution


Outline for Course Textbook.

Wk 1: Text Notes on Basic Signals.

Wk 2: Text Notes on System Properties.

Supplemental Notes on System Properties.

Wk 2: Text Notes on Convolution.

Wk 3: Text Notes on LTI System Properties.

Supplemental Notes on Properties of Dirac Delta Function.

Convolution of Two Rectangular Pulses.

Convolution of Rectangle with Triangle

Properties of LTI Systems Based on Impulse Response.

Wk 4: Text Notes on CT Fourier Series.

Wk 4: Text Notes on DT Fourier Series.

Key summary points for Fourier Series

Matlab "Demo" on Fourier Series.

Add'l Matlab "Demo" on Fourier Series.

Chap. 3: Text Notes on Frequency Selective Filters.

Chap. 4, Part I: Text Notes on CT Fourier Transform.

Chap. 4, Part II: Text Notes on Convolution Property of Fourier Transform.

NOTATION CHANGE: Notation-Revised Table 4.1 of Fourier Transform Properties : Notation-Revised Table 4.1 . I removed the j factor notation in how the Fourier Transform is written in the text. The authors attempt to draw upon what you learned in ECE202, viewing the Fourier Transform as the Laplace Transform X(s) evaluated along the imaginary axis s=j w . As we'll discuss in class, this can be confusing. I will attach the revised table to each exam.

Supplemental Notes on Fourier Transform Properties.

More Notes on Fourier Transform Properties.

Proof of Duality Property of Fourier Transform.

Some Fourier Transform results involving two sinc functions.

Notes on Response of LTI system to sinewaves.

Chap. 7 Text Notes on Sampling Theory.

VIP "Big Picture" notes tying together Chapters 4, 5, 7, and 10: Relationship between DT and CT Fourier Transform

Notes on Relationship of DTFT to CTFT.

CTFT-DTFT Relationship for a Sampled Sinewave.

CTFT-DTFT Relationship Plus Example for Exam 3.

Chap. 5: Text Notes on DT Fourier Transform.

Chap. 5: Text Notes on DT Fourier Transform -- Second Half..

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

Chap. 10: Text Notes on Z-Transform -- First Half.

Chap. 10: Text Notes on Z-Transform -- Second Half.


Text Chap 1 Prob. Statements - Part 1.

Text Chap 1 Prob. Statements - Part 2.

Text Chap 2 Problem Statements.

Text Chap 3 Problem Statements.

Text Chap 4 Problem Statements.

Text Chap 5 Problem Statements.


OLD EXAM 1's:

Exam 1 from Spring 2009: Exam 1 and Solution to Exam 1.

Exam 1 from Spring 2008: Exam 1 and Solution to Exam 1.

Exam 1 from Spring 2007: Exam 1 and Solution to Exam 1.

Exam 1 from Spring 2005: Exam 1 and Solution to Exam 1.

Exam 1 from Spring 2004: Spring 2004 Exam 1 and Solutions

Fall 2003 Exam 1. Solutions

Fall 2002 Exam 1. Solutions

Fall 1998 Exam 1. Solutions

Spring 1999 Exam 1. Solutions

OLD EXAM 2's :

Exam 2 from Spring 2009: Exam 2 SP 2009 and Solution to 2009 Exam 2.

Exam 2 from Spring 2008: Exam 2 SP 2008 and Solution to 2008 Exam 2.

Exam 2 from Spring 2007: Exam 2 SP 2007 and Solution to 2007 Exam 2.

Exam 2 from Spring 2005: Exam 2 SP 2005 and Solution to 2005 Exam 2.

Exam 2 from Spring 2004: Exam 2 SP 2004 and Solution to 2004 Exam 2.

OLD EXAM 3's:

Exam 3 from Spring 2009: Exam 3 SP 2009 and Solution to 2009 Exam 3.

Exam 3 from Spring 2008: Exam 3 SP 2008 and Solution to 2008 Exam 3.

Exam 3 from Spring 2007: Exam 3 SP 2007 and Solution to 2007 Exam 3.

Exam 3 from Spring 2005: Exam 3 SP 2005 and Solution to 2005 Exam 3.

Exam 3 from Spring 2004: Exam 3 SP 2004 and Solution to 2004 Exam 3.

OLD FINAL EXAMs:

Final Exam from Spring 2008: Final Exam SP 2008 .

Final Exam from Spring 2007: Final Exam SP 2007 .

Final Exam from Spring 2005: Final Exam SP 2005 .

Final Exam from Spring 2004: Final Exam SP 2004 .


Supplementary reading materials:

Reference: Prof Bouman's Lecture Notes.

Previous Class Offering (inc. Exams and Hmwks plus solutions.)

Supplementary Notes on Fourier Series and Linear Algebra.

Ken Fischer's Web Supplements (CT convolution; DT convolution).