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EE-210: Signals and Systems


Dr Abubakr Muhammad, Assistant Professor of Electrical Engineering

Email: abubakr [at]

Office: Room L310, 3rd Floor, SSE Bldg

Office Hours: Mon, Wed: 11am-12pm. Tue, Thurs: 9:30am-12pm

Dr Syed Aun Abbas, Visiting Faculty in Electrical Engineering

Email: aun [at]

Office: 4th Floor, Library Bldg (CS Dept)

Office Hours: Tues, Thur: 9:30 - 11.00 am

Abdullah Nauroze, Teaching Fellow

Email: abdullah.nauroze [at]

Office: Room L313, 3rd Floor, SSE Bldg

Office Hours: Tue, Wed, Thurs: 5pm-6pm. Fri: 12pm-1pm.

Lab Assistants

  • Kashif Rahim, Room L313, SSE Bldg
  • Suleman Sami Qazi, Room L314, SSE Bldg
  • Mazammal Baig, Room L314, SSE Bldg

Course Details

Year: 2009-10

Semester: Spring

Category: Undergrad (EE core)

Credits: 4

Core course for electrical engineering majors

Course Website:

Course Description

This course introduces mathematical modeling techniques used in the study of signals and systems. Topics include sinusoids and periodic signals, spectrum of signals, sampling, frequency response, convolution and filtering, Fourier, Laplace and Z-transforms, state space models and finite state machines. Integrated computer based laboratory exercises.


Enforced: MATH 102. Calculus II (Calculus III in quarter system)

Recommended: MATH 210. Intro to differential equations

Text book

Signals and Systems (2nd Edition) by Alan V. Oppenheim, Alan S. Willsky with S. Hamid.

References and Other Helpful Material

  • Linear Systems and Signals by B. P. Lathi. An excellent text for exercise problems and self reading. Another standard text on this subject.
  • Getting started with MATLAB.

Grading Scheme

Homeworks : 7.5%

Quiz : 7.5%

Lab : 15%

Midterm 1 : 15%

Midterm 2 : 15%

Final : 40%

Policies and Guidelines

  • Quizzes will be announced. There will be no makeup quiz.
  • Homework will be due at the beginning of the class on the due date. Late homework will not be accepted.
  • You are allowed to collaborate on homework. However, copying solutions is absolutely not permitted. Offenders will be reported for disciplinary action as per university rules.
  • Any appeals on grading of homeworks, quiz or midterm scores must be resolved within one week of the return of graded material.
  • Attendance is in lectures and tutorials strongly recommended but not mandatory. However, you are responsible for catching the announcements made in the class.
  • Attendance in lab exercises is compulsory.

Course Delivery Method

Lectures. Tues, Thurs: 8:00am-9:15am. 10-401. SSE Bldg.

Labs.. On alternative weeks. EE Lab 2. Duration: 1:45hrs. 3rd Floor, SSE Bldg.

Tutorials. On alternative weeks. Duration: 1:45hrs. EE Lab 2. 3rd Floor, SSE Bldg.

Note. Separate reciation/tutorial hours have been canceled.


Week 1. January 25 Jan 25. Classes begin.

Lecturer. Dr Abubakr Introduction to signals and systems; continuous- and discrete-time signals; power and energy; even and odd signals; complex exponentials; impulse and unit step function. Ref. Ch1.

Homework. Problem set #1. Solutions.

History. Paul Dirac. Oliver Heaviside. Leopold Kronecker.

Week 2. February 1 Feb 1. Add/drop with full refund; Feb 5. Kashmir Day. Lab 1. Lecturer. Dr Abubakr

Complex exponentials; intro to systems theory; systems interconnections; types of systems; memoryless, invertible, causal, time invariant, stable, linear, incrementally linear systems. Ref. Ch1.

Lab. Lab exercise #1. Solutions.

History. Aleksandr Lyapunov. A short history of the idea of stability in motion

Week 3. February 8 Feb 10. Second payment deadline Hw#1 due. Quiz #1. Lecturer. Dr Aun

Homework. Problem set #2. Solutions.

Week 4. February 15 Lab 2. Lecturer. Dr Aun

Lab. Lab exercise #2. Solutions. WAV File

Week 5. February 22 Feb 27. Eid Milad-un-Nabi Hw#2 due. Quiz #2. Lecturer. Dr Abubakr

Fourier series; analysis and synthesis equations; real signals; Fourier series convergence; Dirichlet's conditions; computational examples; Ref. Ch3.

Homework. Problem set #3. Solutions.

History. Joseph Fourier. Albert Michelson. Gibbs. Gibb's phenomenon

Week 6. March 1 March 1. Drop with penalty Lab 3.

March 4. Midterm 1.

Lecturer. Dr Abubakr

Properties of Fourier series; Parseval's identity;

Lab. Lab exercise #3. Solutions.

Midterm 1. Solutions.

Week 7. March 8 March 9th. Hw#3 due. Quiz #3. Lecturer. Dr Abubakr

Discrete-time Fourier series; Examples; Properties of DT Fourier Series; Why there is no Gibb's phenomenon in DT-signals; Ref. Ch3.

Demo. Fourier series roll over demo.

Lecturer. Dr Aun

Homework. Problem set #4. Solutions.

Week 8. March 15 Midterm exams Lecturer. Dr Aun
Week 9. March 22 Mid semester break
Week 10. March 29 Lab 4. Lecturer. Dr Aun

Lab. Lab exercise #4. Simulink MDL files. Slides on Simulink.

Week 11. April 5 Hw#4 due. Quiz #4. Lecturer. Dr Aun

Homework. Problem set #5. Solutions.

Week 12. April 12 No Labs. Extra lecture scheduled. Lecturer. Dr Abubakr

Discrete time fourier transform (DTFT); convergence issues in DTFT; properties of DTFT; duality between Fourier series and DTFT; Filtering using DTFT; Discrete Fourier Transform (DFT); Fast Fourier Transform (FFT). Ref. Ch5.

History. FFT algorithm. James Cooley. John Tukey.

Week 13. April 19 Hw#5 due. Quiz #5. Lecturer. Dr Abubakr

Sampling; Nyquest's theorem; zero-order hold and inerpolation; discrete-time processing of continous-time signals; decimation and interpolation in discrete time. Ref. Ch7.

Homework. Problem set #6. Solutions.

Week 14. April 26 Lab 5;

April 27. Midterm 2

Lab. Lab exercise #5. Solutions. WAV File

Week 15. May 3

Homework. Problem set #7. Solutions.

Week 16. May 10 May 10. Last day of classes; May 11-13. Reading and Reviewing period; May 14-21. Final Exams.
Week 17. May 17 May 14-21. Final Exams
Week 18. May 24 May 24-30. Semester break; May 31. Final grades submission .

On a lighter note...

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