#### EE341: LINEAR SYSTEMS AND CONTROL THEORY

Fall 1999 Schedule: MWF 9:00am-9:50am in Cramer 103

Instructor: Kevin Wedeward, Office: Workman 221, Phone: (505)835-5708, email: wedeward@ee.nmt.edu, homepage: www.ee.nmt.edu/~wedeward/

Help Session: T 07:00pm-09:00pm in Workman 113

Office Hours: TTh 10:00am-11:00am

Course Objectives:

• Develop an understanding of
• continuous-time signal representation and analysis via frequency-domain techniques
• continuous-time system analysis via the Laplace transform.
• These topics of study will be the basis for later courses in control theory and digital signal processing.

Course Prerequisites:

Topic Prerequisites:

1. RLC circuit modeling and responses.
2. Introduction to Laplace Transforms.
3. Matrix algebra.

Required Text: Signal Processing and Linear Systems by B.P. Lathi

Topics: The following chapters and topics in the text will be covered:

• Chpt. B: Background (as needed throughout semester)
• Chpt. 1: Introduction to Signals and Systems
• Chpt. 2: Time-Domain Analysis of Continuous-Time Systems
• Chpt. 3: Signal Representation by Fourier Series
• Chpt. 4: Continuous-Time Signal Analysis using Fourier Transform
• Chpt. 6: Continuous-Time System Analysis using Laplace Transform
• Chpt. 7: Frequency Response and Analog Filters (as time permits)

1. Sections B.1, 1.1-1.4
2. Sections 1.5-1.9
3. Sections 2.1-2.4
4. Sections 2.5-2.9
5. Chapter 3
6. Sections 4.1, 4.2
7. Sections 4.3-4.10
8. Sections 6.1, 6.2
9. Sections B.5, 6.3
10. Sections 6.4, 6.5

Homework: Homework will be assigned, collected, and graded on a weekly basis. You are encouraged to work with other students as long as the written work turned in is your own.

1. Problem Set 1 (PS1) (as pdf file) due BOC W 09/01/99
2. PS2 due BOC F 09/10/99: E1.1, E1.2, E1.5, E1.6 (do plots in matlab), P1.1-3 (note signals don't repeat beyond what's shown), P1.1-4, P1.1-6a,e, P1.3-3
3. PS3 (as pdf file) due BOC F 09/17/99
4. PS4 due BOC F 09/24/99: P1.7-7, P1.8-1, P1.8-2, P2.2-1, P2.2-2, P2.2-4, P2.2-5
5. PS5 due BOC W 09/29/99: E2.4, P2.3-1
6. PS6 due BOC F 10/08/99: E2.9, E2.13, P2.4-7, P2.4-13, P2.4-14, P2.4-16c,d,h, use matlab to plot outputs where sketches are asked for in problems
7. PS7 due BOC M 10/18/99: P3.5-1a,c,d,f (use matlab to plot resulting Fourier Series for n = -1,0,1; n = -5,...,0,...,5; and n = -10,...,0,...10; and plot the specta for n = -4,...,0,...,4), P3.5-2, P3.5-3
8. PS8 due BOC M 10/25/99: P3.5-5a, P3.5-6a
9. PS9 due BOC M 11/01/99: P4.1-1, P4.1-2, P4.1-5, P4.1-7, P4.2-1a,c,e,f, P4.2-2, P4.2-3, P4.2-4
10. PS10 due BOC F 11/12/99: Hand Written Handout
11. PS11 due BOC M 11/22/99: P6.1-1a,b,c,d, P6.1-2b, P6.2-1, P6.2-2b
12. PS12 due BOC W 12/01/99: P6.1-3a,b,c,d,i, P6.2-3a,b, P6.3-1
13. PS13 (as pdf file) due BOC F 12/10/99

Exams: Three exams during regular class periods and one final exam will be given.

1. Exam 1 on W 09/29/99: covers sect. B.1, chpt. 1, sect. 2.1-2.3
2. Exam 2 on W 11/03/99: covers sect. 2.4, chpt. 3, sect. 4.1, 4.2
3. Exam 3 on W 12/08/99: covers sect. 4.3-4.10, 6.1-6.4
4. Final Exam on W 12/15/99 at 9:00am in Cramer 103

• Homework: 20%
• Three Exams: 50%
• Final Exam: 30%

Handouts and Example M-Files:

• Companion Software developed by the textbook author is available and includes matlab m-files used in textbook examples.
• Example 1: Matlab example of interactive plotting.
• Example 2: Matlab example of interactive matrix operations.
• Example 3: Matlab example of m-file use and complex number operations.
• Example 4: Matlab example of plotting combination signals.
• Example 5: Matlab example of plotting truncated Fourier Series and Fourier Series spectra.
• Example 6: Matlab example of plotting truncated Fourier Series and Fourier Series spectra.
• Example 7: Matlab example of plotting system gain and phase as well as its output for a periodic input.
• Example 8: Matlab example demonstrating some of matlab's system analysis funtions.
• Example 9: Matlab example for viewing DC motor frequency response.