ECSE 3004-001 (CRN 553) - Fall 2006 Signals and Systems 2 McGill University Department of Electrical and Computer Engineering

Instructor:

Prof. Richard Rose Office: McConnell Engineering Building, Room 755 Phone: (514) 398-1749 Email: rose@ece.mcgill.ca

Office Hours: TuTh  1:30 – 3:00pm Or By Appointment

Teaching Assistants:

Abeer Al-Azzawi	abeeral_azzawi@hotmail.com
Parya Momayyez	parya.momayyezsiahkal@mail.mcgill.ca
Aarthi Reddy	aarthi.reddy@mail.mcgill.ca

Lectures and Tutorials:

Lectures:	TuTh	11:35 – 12:55	ENGTR1080
Tutorials:	M	10:35 – 12:25	ENGTR2120
	T	4:05 – 5:55	ENGTR1090
First Lecture: Tues, September 5                  Last Lecture: Tues, December 5
First Tutorial Session: Mon, September 11
Thanksgiving Week: No lecture on Tuesday, October 10 (Monday schedule)

Course Description:

Application of transforms to the analysis of LTI single-loop feedback systems, the discrete-time Fourier series, the discrete-time Fourier transform, the Z transform, time and frequency analysis of discrete-time LTI systems, sampling systems, application of continuous and discrete-time signal theory to communication systems, state models of continuous and discrete-time LTI systems.  (Prerequisites: ECSE-303 Signals and Systems 1)

Textbooks:

Required Text:

A. V.  Oppenheim, A. S. Willsky, and S. H. Nawab, Signals and Systems, 2^nd Eddition. Prentice Hall, New Jersey, 1997.

Suggested Texts:

B.Boulet, Fundamentals of Signals and Systems, Da Vinci Engineering Press, Charles River Media, 2006.

B. P. Lathi, Linear Systems and Signals, Oxford University Press, New York, 2002.

J. G. Proakis and D. M. Manolakis, Digital Signal Processing: Principles, Algorithms, and Applications, 3^rd Edition. Prentice Hall, New Jersey, 1996.

Course Website:

All course materials will be available through the ECSE304 webCT Vista website.  This includes this course outline, external references and tutorials, lecture slides, problem assignments, and any other data or reference material.   Lecture slides should be posted the day before the lecture.  If you need to contact me, please use the webCT email system.  I will try and respond within 24 hours during the week and within 48 hours on the week-end.

Academic Integrity:

Senate on January 29, 2003 approved a resolution on academic integrity, which requires that the following reminder to students be printed on every course outline:

McGill University values academic integrity.  Therefore, all students must understand the meaning and consequences of cheating, plagiarism, and other academic offenses under the code of student conduct and disciplinary procedures (see http://www.mcgill.ca/integrity for more information)

Homework and Evaluation:

Grading:

Assignments	MatLab Projects Regular Problems	20%
Midterm #1	Weds., Oct. 11 (6:35 - 8:25 pm)	20%
Midterm #2	Weds., Nov. 15  (6:35 – 8:25 pm)	20%
Final	Examination Period (Dec. 7 – Dec. 22)	40%

Problem Sets:

· There will be six problem sets that will be posted on the ECSE304 WebCT site along with due dates and instructions.  The MATLAB programming language will be used for exercises involving implementation and visualization of some of the signals and systems topics covered in the course.   A portion of each of the assignments will involve the use of MATLAB.  Source code, plots, and results must be submitted with the assignment for all MATLAB exercises.

· Problem Sets can be worked in Groups of 2. A cover sheet, which is found at the bottom of the Assignments page in the ECSE304 webCT site, should be handed in with each problem set.

· An assignment box will be reserved for the course in the Trottier Building.

Midterm Examinations:

· There will be two midterm examinations, 1 hour 50 minutes each in duration, and held in the evenings at the times and dates listed above.

· These will be closed book exams.  You will be allowed one 8.5” x 11” crib sheet (hand-written only, both sides) and the use of the faculty standard calculator.

Final Examination:

· There will be a final examination, 3 hours in duration, with the date and time of the exam to be announced by the Faculty. 

· This will be closed book exam.  You will be allowed two 8.5” x 11” crib sheets (hand-written only, both sides) and the use of the faculty standard calculator.

· The final exam will cover all the material included in the class notes and/or seen in the class during the term.

Marking Policy (Assignments and Midterms):

· No assignment will be accepted after the assignments have been collected from the assignment box.

· Any requests for re-evaluation of an assignment must be made within one week of it being returned to the student by contacting Amirali Tavallaee.

· Marked assignments not picked up within two weeks may be discarded.

· There will not be any make-up examinations for students who miss a midterm examination.

· Students who miss a midterm exam due to illness should notify the instructor within a week of the examination and provide him with an adequate medical certificate stating the date and nature of the illness.

· Only after presentation of a proper medical certificate will the mark for the missed examination be computed from mark obtained from the final examination.

· Students who miss the midterm exam for unjustified reasons will automatically receive a mark of 0 for the exam.

· Any request for reevaluation of a midterm exam must be made by the end of the class where it is returned to the students by contacting the instructor.

· Marked midterm exams that not been picked up after two weeks may be discarded.

List of Topics:

Review of ECSE-303  (Week 1)

· Elementary C-T and D-T Signals and Systems

· LTI Systems

· Fourier Series Representations of C-T Periodic Signals

· C-T Fourier Transform

References:

· C-T and D-T Signals and Systems: O and W, Chapters 1 and 2

· LTI Systems: O and W, Chapters 1 and 2

· Fourier Series Representation: O and W, Sections 3.2 - 3.5

· C-T Fourier Transform: O and W, Chapter 4

Discrete-time (DT)  Fourier Series and DT Fourier Transform (Weeks 2-3)

· Motivation and introduction to discrete time linear time invariant (LTI) systems

· Discrete Time Fourier Series (DTFS)

· Discrete Time Fourier transform (DTFT)

References:

· DTFS: O and W, Sections 3.6 and 3.7

· DTFT: O and W, Sections 5.1 through 5.7

The Z-Transform (Weeks 3-4)

· Z-Transform definition, region of convergence for DT signals, and properties

· Inverse Z-transform

· The Z-Transform and LTI systems

· The Unilateral  Z-Transform

References:

· Z-Transform: O and W, Sections 10.1,10.2, and 10.5

· Inverse Z-Transform: O and W, Section 10.3

· Unilateral Z-Transform: O and W, Section 10.4

Time and Frequency Analysis of DT Signals and Systems (Week 5)

· Z-domain analysis of DT LTI systems

· Finite impulse response (FIR) and Infinite Impulse Response (IIR) filters

References:

· Analysis of DT LTI systems: O and W, Section 10.9

· D-T Filters: Class Notes

Sampling Systems (Weeks 6-7)

· Sampling of continuous-time signals and the sampling theorem

· DT processing of CT signals

· Sampling of DT signals and DT decimation and interpolation

References:

· The Sampling Theorem: O and W, Sections 7.1 to 7.3

· DT Processing of CT Signals: O and W, Section 7.4

· Sampling of DT Signals: O and W, Section 7.5

Application to Communications Systems (Weeks 7-8)

· Amplitude modulation (AM) and demodulation

· Single side band (SSB) modulation and Pulse Amplitude Modulation (PAM)

· Frequency modulation (FM), phase modulation (PM), and Time Division Multiplexing (TDM)

References:

· Amplitude Modulation: O and W, Sections 8.1 and 8.2

· SSB and PAM: O and W, Sections 8.4 to 8.6

· FM, PM, and TDM: O and W, Sections 8.6 to 8.7

State Models of Continuous Time and Discrete Time LTI Systems (Weeks 9-10)

· State Variables and State Equations

· Solutions to State Equations

References:

· Class Notes

Linear Feedback Systems (Weeks 10-11)

· Root-locus techniques: Stability of closed loop systems

· Nyquist criterion

· Relative stability: gain and phase margins

References:

· Class Notes