ECE 320

Signals and Systems II.

Spring 2005

Tuesday and Thursday, 12.00 – 1.15

West Building, Room 258

Instructor: Prof. Janos Gertler, # 259 S&T II, jgertler@gmu.edu; Th. 2.00-4.00

Teaching Assistant:  TBA

Textbooks:

1. Oppenheim and Willsky: Signals and Systems, Second Edition, Prentice Hall.

2. Buck, Daniel and Singer: Computer Explorations in Signals and Systems Using MATLAB, Second Edition, Prentice Hall.    

Course description. The  course  is  a  continuation of ECE 220. In addition to reinforcing the basic understanding obtained in the first course, 320 is concentrating on the frequency characterization of signals and systems and introduces the discrete-time counterparts of the continuous-time concepts. 

Subjects:

1. Fundamentals of signals and systems

2. Linear time-invariant systems    

            3. Fourier series

            4. Continuous-time Fourier transform

            5. Discrete-time Fourier transform

            6. Time and frequency characterization of signals and systems

            7. Sampling and reconstruction

            8. z-transformation

Work requirements:       

Paper and pencil homework will be assigned every week

There will be 2 MATLAB projects, to be performed in groups

There will be three exams (midterm and final), all in-class, closed book.

Course grade:

3 exams 20% each

projects 15% each

homework 10% total

During the final exam period, the first or second exam may be re-taken. The score will be multiplied by 0.85 and, if higher than the original score, will replace it.

Week-by-week schedule

Part I.

Jan. 25 and 27. Signal energy and power. Signal manipulations. Exponential and periodic signals. Unit impulse.

Feb. 1 and 3. Basic system properties. Convolution in discrete time.

Feb. 8 and 10. Convolution in continuous time.

Feb. 15 and 17. Difference equation and shift operator description of discrete-time systems.

Part II.

Feb. 22 and 24. Fourier series in continuous time.

March 1: First exam covering Part I. March 3. Fourier series in discrete time.

March 8 and 10. Frequency response in continuous and discrete time.

March 22 and 24. Fourier transform of continuous-time signals.

March 29 and 31. Convolution and multiplication property in continuous time. Differential equation to Fourier transform.

Part III.

April 5 and 7. Fourier transform of discrete-time signals. Discrete-time convolution property and filters.

April 12: Second exam covering Part II. April 14. Discrete-time multiplication property and windowing.

April 19 and 21. Sampling and reconstruction.

April 26 and 28. Z-transformation.

May 3 and 5. Discrete transfer function, poles and zeros, stability.

Final Exam: May 17, 10.30 – 1.15

            Exam III covering Part III.

            Exam I and II retake.