EEE301 SIGNALS AND SYSTEMS I
| Course Code: | 3560301 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 5.0 |
| Department: | Electrical and Electronics Engineering |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Assoc.Prof.Dr. CEM DİREKOĞLU |
| Offered Semester: | Fall Semesters. |
Course Objectives
Students will be able to:
1. Comprehend basic signal and system properties.
2. Apply Fourier analysis to periodic and aperiodic signals.
3. Apply transform techniques to signals and systems.
4. Analyze LTI systems by transform techniques.
5. Analyze engineering problems by using properties of transform techniques.
Course Content
Continuous and discrete time signals and systems classification and properties. Linear time-invariant systems: impulse response, convolution. Functions of a complex variable, complex series and integrals. Transform methods: Continuous-time Fourier series and transform, discrete-time Fourier series and transform. Frequency response. Sampling theory. Laplace and z-transforms, system functions.
Course Learning Outcomes
Having successfully completed this course, the student will be able to:
1. Identify a system and basic discrete and continuous time signals, perform scaling, addition, multiplication, and time shifting on signals.
2. Inspect a system and determine whether it is stable, memoryless, casual, invertible time invariant and linear or not. Identify series and parallel interconnections of systems to obtain the relationships between the input and the output functions.
3. Identity the Linear Time-Invariant (LTI) systems and their properties. Evaluate convolution sum and integral to obtain the output of a system given the input and the impulse response.
4. Understand the Fourier series representation of continuous-time and discrete-time periodic signals. Identify the properties of Fourier series such as time-shift, differentiation, multiplication etc.
5. Understand the continuous-time Fourier transform (CTFT) and discrete- time Fourier transform (DTFT) of aperiodic signals. Develop an understanding of properties of these transforms such as convolution, multiplication, Parseval’s relation etc.
6. Formulate impulse and frequency responses of a system described by linear constant coefficient differential and difference equations using the properties and pairs of CTFT and DTFT.
7. Identify the conditions on the sampling rate guaranteeing a bandlimited signal to be reconstructed from its samples, and formulate the reconstruction of a bandlimited continuous time signal form its samples.