Title: SIGNALS AND SYSTEMS
Catalog Description: Time and frequency domain analysis of signals and systems. Periodic signals. Fourier transforms. DFT. Convolution integral. Filters. Transmission of information by orthogonal functions. Analysis of discrete time signals and systems.
Coordinator: Burak Acar, Assistant Professor of Electrical & Electroncis Engineering
Goals: The course is designed to familiarize junior students with the techniques for analyzing and synthesizing continuous-time as well as discrete-time systems. Time domain and frequency domain signal analysis tools are studied, and the subjects of filtering are introduced as signal processing techniques both in continuous-time and discrete-time.
At the end of this course, students will be able to:
1. Analyze continuous time and discrete time signals and systems.
2. Perform time domain signal processing operations on both continuous time and discrete time signals.
3. Analyze singals and systems in the frequency domain.
4. Design in the frequency domain various types of filters.
5. Design digital filters using z-transform techniques.
Textbook: A. V. Oppenheim, A. S. Willsky, with S. H. Nawab, Signals and Systems, Prentice Hall, 2nd Edition, 1997.
Prerequisites by Topic:
1. Differential and Integral Calculus
2. Experience with complex numbers
3. Differential Equations
4. Familiarity with Laplace Transforms
5. Circuit Analysis
1. Basics of continuous-time and discrete-time signals and systems. (4 class hours)
2. Linear time-invariant systems; Convolution. (6 class hours)
3. Fourier Series representation of continuous-time and discrete-time Periodic signals; properties of Fourier series; filtering concepts. (6 class hours)
4. The continuous time Fourier transform and its properties
The Fourier transform for periodic signals. (6 class hours)
5. Sampling and discretization of continuous-time signals. (5 class hours)
6. The z-transform and its properties
Analysis of discrete-time systems using z-transform (6 class hours)
7. The discrete-time Fourier transform and its properties (6 class hours)
8. Time and frequency characteristics of signals and systems; polar plots; Log magnitude and Bode plots (5 class hours)
9. Communication systems and modulation (6 class hours)
10. Three quizzes and one midterm exam (5 class hours)
Course Structure: The class meets for two lectures a week, each consisting of two 50-minute sessions and a Problem session of 50-minute duration. 5-6 sets of homework problems are assigned per semester. Homework is not collected but similar problems are asked in quizzes. There are in-class pop quizzes, two mid-term exams and a final exam.
Computer Resources: Students are encouraged to use MATLAB to solve their homework problems
Laboratory Resources: None.
1. Quizzes (15%)
2. Midterm exams (25% each)
3. Final exam (35%)
(a) Apply math, science and engineering knowledge. This course deals with continuous time dynamic systems described by ordinary differential equations and discrete time systems described by ARMA type difference equations. Different tools from mathematics like differential equations, complex variables, and Laplace and /or Fourier or z-transforms are used in the presentation of the lectures, and are applied in the homework sets.
(c) Design a system, component or process to meet desired needs. Emphasis is placed on design issues both in the time domain and complex frequency domain for the realization of systems meeting given specifications. In particular, frequency domain design of continuous time filters and z-domain design of discrete time filters was covered, and was elaborated in homework exercises.
(e) Identify, formulate, and solve engineering problems. These topics are extensively covered through the truly rich problems listed at the end of each chapter of the text used in the course.
(i) Recognize the need for, and have the ability to engage in life-long learning. This basic course will provide ability for life-long training and education. In the field of signal and system analysis as well as signal processing, the need for such life-long and continuous search of the related literature was clearly and openly communicated to the students.
Prepared By: Assistant Professor Burak Acar