SIGNALS and SYSTEMS

AIM

At the end of this course, students will be able to: 1. Analyse continuous time and discrete time signals and systems. 2. Understand the systems in general and perform time domain signal processing operations on both continuous time and discrete time signals for linear time invariant (LTI) systems. 3. Perform signal operation for LTI systems via convolution operation. 4. Understand Fourier Series and Transforms 5. Understand Laplace Transform and use it in system analysis 6. For discrete time signals, understand Z Transform and use it in system analysis The students will also learn how to use Matlab for problems related to systems and signals in general.

CONTENT

This course contains; Course Intro and Introduction to Signals,Elementary Signals,Continuous Time Systems,Convolution,Fourier Series - Continuous Time,Fourier Transform : Continuous Time,Laplace Transform ,Application of Fourier Transformation on Signals and Systems,Application of LaplaceTransformation on Signals and Systems,Discrete Time Signals,Discrete Time Systems,Fourier Series and Transform : Discrete Time,Discrete Time Fourier Transform,Z-Transform.

1. 1

   1. Analyse continuous time and discrete time signals and systems.

   Taught by: Problem Solving Method, Experimental Technique, Simulation Technique, Lecture Method · Assessed by: Traditional Written Exam, Homework, Quiz

2. 2

   2. Understand the systems in general and perform time domain signal processing operations on both continuous time and discrete time signals for linear time invariant (LTI) systems.

   Taught by: Problem Solving Method, Experimental Technique, Simulation Technique, Lecture Method · Assessed by: Traditional Written Exam, Homework, Quiz

3. 3

   3. Perform signal operation for LTI systems via convolution operation.

   Taught by: Problem Solving Method, Experimental Technique, Simulation Technique, Lecture Method · Assessed by: Traditional Written Exam, Homework, Quiz

4. 4

   4. Understand Fourier Series and Transforms and use them appropriately.

   Taught by: Problem Solving Method, Experimental Technique, Simulation Technique, Lecture Method · Assessed by: Traditional Written Exam, Homework, Quiz

5. 5

   5. Understand Laplace Transform and use it in system analysis.

   Taught by: Problem Solving Method, Experimental Technique, Simulation Technique, Lecture Method · Assessed by: Traditional Written Exam, Homework, Quiz

6. 6

   6. For discrete time signals, understand Z Transform and its use for systems analysis.

   Taught by: Lecture Method · Assessed by: Quiz

WEEKLY PLAN

1. WEEK 1

   Course Intro and Introduction to Signals

   Preparation: Lectures Slides 1 and 2, Textbook Chapters 1 & 2

2. WEEK 2

   Elementary Signals

   Preparation: Lectures Slides 3, Textbook Chapter 1 and 2

3. WEEK 3

   Continuous Time Systems

   Preparation: Lectures Slides 4, Textbook Chapter 3

4. WEEK 4

   Convolution

   Preparation: Lectures Slides 5, Textbook Chapter 3

5. WEEK 5

   Fourier Series - Continuous Time

   Preparation: Lectures Slides 6, Textbook Chapter 4

6. WEEK 6

   Fourier Transform : Continuous Time

   Preparation: Lectures Slides 7, Textbook Chapter 4

7. WEEK 7

   Laplace Transform

   Preparation: Lectures Slides 8, Textbook Chapter 9

8. WEEK 8

   Application of Fourier Transformation on Signals and Systems

   Preparation: Lectures Slides 9, Textbook Chapter 4-6

9. WEEK 9

   Application of LaplaceTransformation on Signals and Systems

   Preparation: Lectures Slides 10, Textbook Chapter 4-6

10. WEEK 10

    Discrete Time Signals

    Preparation: Lectures Slides 11, Textbook Chapter 8

11. WEEK 11

    Discrete Time Systems

    Preparation: Lectures Slides 11, Textbook Chapter 9

12. WEEK 12

    Fourier Series and Transform : Discrete Time

    Preparation: Lectures Slides 12, Textbook Chapter 10

13. WEEK 13

    Discrete Time Fourier Transform

    Preparation: Lectures Slides 13, Textbook Chapter 11

14. WEEK 14

    Z-Transform

    Preparation: Lectures Slides 14, Textbook Chapter 12

ASSESSMENT

• Rate of Midterm Exam to Success30%
• Rate of Final Exam to Success70%

WORKLOAD

READING

• A. V. Oppenheim, A. S. Willsky, with S. H. Nawab, Signals and Systems, Prentice Hall, 2nd Edition, 1997.
• Other Signals and Systems textbooks. MIT Signals and Systems website. https://ocw.mit.edu/resources/res-6-007-signals-and-systems-spring-2011/

TEACHING STAFF

• Prof.Dr. Mehmet Kemal ÖZDEMİRCOORDINATOR
• Assist.Prof. Zafer İŞCAN