EE310 Signals and Systems

Spring 2019

Department of Electrical Engineering
Syed Babar Ali School of Science and Engineering
Lahore University of Management Sciences.



Announcements

  • (Apr. 18) Assignment 05 has been released (Due on April 29).

  • (Apr. 05) Assignment 04 has been released (Due on April 15).

  • (Mar. 28) Mid-Exam venue is A3: NIB Auditorium in Academic Block (exam starts at 11 am)

  • (Mar. 15) Assignment 03 is due after the mid-break.

  • (Feb. 24) Assignment 02 is due tomorrow.

  • (Jan. 24) Assignments 01, 02 and 03 have been released.

Administrative Details

  • Course Outline (Click to download)

  • Textbook: Signals and Systems by Alan V. Oppenheim, Alan S. Willsky with S. Hamid Nawab

  • Office Hours and Contact Information

    • Instructor Momin Uppal (momin.uppal@lums.edu.pk): Wednesday, 11 am - 1 pm (9-246A)

    • Instructor Zubair Khalid (zubair.khalid@lums.edu.pk): Tuesay and Thursday, 11 am - 12 pm (9-251)

    • TA Hamza Athar (20100003@lums.edu.pk): Wednesday, 6-8 pm (Student Lounge Maxwell Wing)

    • TA Muhammad Usman (20100190@lums.edu.pk): Thursday, 1-3 pm (Student Lounge Maxwell Wing)

    • TA Danyal Hamid (19100028@lums.edu.pk): Friday, 11am-1 pm (Student Lounge Maxwell Wing)

Grading Distribution

  • Assignments, 10 %

  • Quizzes, 15 %

  • Mid-Exam, 30 %

  • Final Exam, 45 %

Tutorial Notes and Exams

Tutorial notes, past exams and reading assignmnets will be posted here.

Assignments

Assignment Due Date Solutions
Assignment 01 Feb. 08 Solutions
Assignment 02 Feb. 25 Solutions
Assignment 03 Mar. 15 Solutions
Assignment 04 Apr. 15 Solutions
Assignment 05 Apr. 29 Solutions
Assignment 06 May. 03 Solutions

Quizzes

Number Quiz Solutions
Quiz 01 pdf Solutions
Quiz 02 pdf Solutions
Quiz 03 pdf Solutions
Quiz 04 pdf Solutions
Quiz 05 pdf Solutions
Quiz 06 pdf Solutions
Quiz 07 pdf Solutions
Quiz 08 pdf Solutions
Quiz 09 pdf Solutions

Lecture Plan

  • Lecture 01

    • Course Introduction

    • Signals and Systems overview

    • CT Signals under transformation of indepenent variables

  • Lecture 02

    • Transformations (contd.), DT, example(s)

    • Classification of signals (Periodic, Aperiodic; Even, Odd)

    • Complex numbers overview

  • Lecture 03

    • Energy, Power Signals

    • CT complex exponentials

  • Lecture 04

    • CT Complex exponentials - Revisit Periodicty

    • Matlab Demo (download)

    • DT complex exponentials

    • Matlab Demo (download)

  • Lecture 05

    • Unit step and impulse signals

    • CT and DT Systems Overview

    • Proporties of Systems (Linearity, Time Invariance, Memory, Stability, Invertibility, Causality)

  • Lecture 06

    • Proporties of Systems (Linearity, Time Invariance, Stability, Causality)

    • Examples

    • Quiz 01

  • Lecture 07

    • Proporties of Systems (Memory, Invertibility)

    • Interconnection of Systems

    • Introduction of LTI Systems (Impulse Response)

    • DT Convolution

  • Lecture 08

    • DT Convolution Examples

    • CT Convolution

    • Quiz 02

  • Lecture 09

    • CT Convolution Examples

    • Demo

  • Lecture 10

    • Propoerties of LTI Systems

  • Lecture 11 (Notes)

    • Step Response

    • Chapter 2 - Review problems (download)

    • Complex exponentials: eigenfunctions of LTI Systems

  • Lecture 12 (Notes)

    • Introduction to CT Fourier Series

    • Analysis Equation

  • Lecture 13 (Notes)

    • CT Fourier Series - Examples

    • Properties of Fourier Series

  • Lecture 14

    • Properties of Fourier Series

    • Examples

    • Convergence of Fourier series

  • Lecture 15 (Notes)

    • DT Fourier Series - Formulation

    • Concept of Periodicity in harmonic domain

    • DT Fourier Series - Examples

  • Lecture 16

    • Properties of DT Fourier Series

    • Examples

    • Notion of Filtering

  • Lecture 17

    • Notion of Filtering (contd)

    • Review of the course

    • CT Fourier Transform (CTFT) - Introduction

  • Lecture 18

    • Mid-Exam

  • Lecture 19 (Notes on CTFT)

    • CTFT- Formulation

    • Examples

  • Lecture 20

    • Properties CTFT: linearity, time and frequency shift, scaling, derivative, convolution

    • Implications of convolution property: System characterization

  • Lecture 21

    • Properties CTFT: intgeration, multiplication, duality

    • Examples

  • Lecture 22

    • CTFT and LTI Systems

    • LCC differential equations

  • Lecture 23 (Notes on DTFT)

    • DT Fourier Transform (DTFT)

    • DTFT Examples

  • Lecture 24

    • DTFT Properties and Examples

  • Lecture 25

    • DTFT and LTI Systems

    • LCC Differential Equation

    • Ideal Sampling (Time permitting, included in Assignment 05)

  • Lecture 26-27

    • Laplace Transform

  • Lecture 28

    • z-Transform