EE321/EE521--Linear System I

Kefu Xue, Ph. D.

Department of EE, WSU

Office: 425 Russ Center (phone: 775-5063)

http://www.cs.wright.edu/~kxue/

Textbook: Signal Processing and Linear Systems, B. P. Lathi, Oxford University Press, ISBN: 0-19-521917-1

Prerequisites: EE 301 (with a grade "D" or better).

Objective: Linear System I is intended to provide students with an introductory, yet comprehensive, treatment of continuous time linear systems and signals. It teaches

Visualization and representation of a variety of commonly used signals
Modeling and Analysis of linear systems in terms of differential equations, transfer functions, impulse responses, step responses, sinusoidal responses, zero input and zero state responses and frequency responses
Applying Laplace transform, Fourier series and Fourier transform to signal and system analysis and evaluation

The course focuses on fundamental linear system theory with some hands-on computer home works using MATLAB to enhance the understanding of new concepts and the ability of solving problems. Students will acquire familiarity and competence in solving both signal and system analysis problems.

Course Schedule:

1^st Week: Introduction to the intuition and mathematical representations of signals and systems (Chapter 1); Key concepts: Signals (energy variation), energy signals, power signals, typical signal models, signal sampling and signal scaling; Systems (signal modification), time invariant, linearity, dimensionality, causality and input-output relationships. First Home Work (Due 2^nd class of 2^nd week).

2^nd - 3^rd (1/2) Week: Linear system representations: input/output Relationships, differential equations, linear convolution, transfer functions (Chapter 2). Key concepts: ordinary differential equation, understand the concepts of zero-state response, impulse response and convolution integral. Second Home Work (Due 2^nd class of 3^rd week).

First Exam: approx. date: 1^st Class of the 4th week

3^rd (1/2) - 5^th Week: Laplace Transform (Chapter 6). Key concepts: Laplace transform and properties, solving differential equation using Laplace transform. Third Home Work (Due 1^st class of 6^th week).

6^th Week: Frequency response (Chapter 7). Key concepts: sinusoidal excitation, sinusoidal steady state response, amplitude frequency response, phase frequency response and Bode plots. Forth Home Work (Due 1^st class of 7^th week).

Second Exam: approx. date: 2^nd Class of the 7th week

7^th (1/2) - 8^th Week: Fourier Series (FS) representations of signals (Chapter 3). Key concepts: component of a signal, orthogonality, Gibbs phenomenon, Fourier spectrum, bandwidth of a signal, Parseval’s theorem and harmonic distortion. Fifth Home Work (Due 2^nd class of 8^th week).

9^th - 10^th Week: Fourier Transform (FT) (Chapter 4). Key concepts: Fourier transform and properties, signal energy and spectrum. Sixth Home Work (Due 1^st class of 10^th week).

Third Exam: approx. date: 2^nd Class of the 10th week

Grading policy: Three Exams: 30% each; Homework: 10%. *A=90%; B=80%; C=70%; D=60%; If the total score is less than 50%, the final grade will be F. *

** No make-up examination will be given unless the student has received permission from the instructor prior to the examination or experienced some emergency beyond his/her control. Students are permitted to use a self-prepared (no Xerox copy) study guide during the exams (one 11" by 8.5" sheet both sides for the examinations).

*** Homework will be graded regularly and the solutions will be available at the front desk of EE Department office. Every student is expected to work out all the assignments independently and turn in his/her works as scheduled. Office hours have been set in the following table and the students are encouraged to make use of those to have their academic difficulties resolved. If you can not meet me at the scheduled office hour, you can set up an appointment with me. The instructor is responsible to provide only the first midterm exam grade before the 5^th week drop date.

	Monday	Wednesday
Office hours	2:00 PM - 4:00 PM	2:00 PM - 4:00 PM
Or	By appointment	By appointment

Calendar:

Week	1st	2nd	3rd	4th	5th	6th	7th	8th	9th	10th
1^st class Mon.	6/16	6/23	6/30	7/7	7/14	7/21	7/28	8/4	8/11	8/18
2^nd class Wed.	6/18	6/25	7/2	7/9	7/16	7/23	7/30	8/6	8/13	8/20