ECEN 3300 - Linear Systems
Required - 5 credit hours
On-Line Course Materials
Prerequisites: ECEN 2260, Circuits/Electronics 2 and APPM 2360, Linear Algebra and Differential Equations
Course Objectives: ECEN 3300 introduces the student to signals and linear systems in the time and frequency domains. The concepts of impulse response and convolution, frequency response, and transfer functions are discussed. Both continuous and discrete time systems are covered using linear differential and difference equations. Transform methods include Laplace Transforms, Z Transforms, Fourier Series, Fourier Transforms, and Discrete-Time Fourier Transforms. Laboratory experiments reinforce these concepts and explore applications of these concepts to filter design and control and communication systems. The lab experiments also assist in the development of problem-solving abilities, including physical thinking, approximation techniques, and design-oriented analysis.
Textbook: Alan V. Oppenheim, Alan S. Willsky, with S. Hamid Nawab, Signals & Systems , Second Edition, Prentice Hall, 1997.
Topics
- Continuous time (CT) signals
- CT linear and time-invariant (LTI) systems
- Linearity, time-invariance, memory, causality
- Block diagrams
- Time domain analysis of CT LTI systems
- Differential equations
- Unit impulse/step response
- Convolution
- Frequency domain analysis of CT LTI systems
- Laplace transform, pole/zero plots
- Fourier transform, Fourier series
- System function and frequency response
- Discrete time (DT) signals
- DT linear and time-invariant (LTI) systems
- Linearity, time-invariance, memory, causality
- Block diagrams
- Time domain analysis of DT LTI systems
- Difference equations
- Unit impulse/step response
- Convolution
- Frequency domain analysis of DT LTI systems
- z-transform, pole/zero plots
- DT Fourier transform, discrete Fourier series
- System function and frequency response
- Relationship between CT and DT signals and systems
- Lab experiments give an opportunity for the students to test and apply their understanding of linear systems concepts using techniques, tools, and viewpoints different from the ones used in class.
- Students can look at time and frequency domain graphs of signals and listen to the same signals before and after processing by a linear system. Parameters can be changed according to individual "what if" questions and the effect of these changes can be studied immediately in sight and sound.
- Labs develop students' ability to critically ask what outcomes can be expected from an experiment. Students learn to distinguish wrong outcomes from correct ones and to debug circuits, software, and their understanding of linear systems, to work towards obtaining consistent and correct outcomes.
- Working on a project with stated goals that can be achieved in a number of different ways promote creativity and "engineering thinking".
- Labs are used to introduce state-of-the-art industry-standard software tools such as Matlab and Simulink.
Contribution of course to meeting the professional component: Contributes 5 semester hours to criterion 4(b) “one and one-half years of engineering topics, consisting of engineering sciences and engineering design appropriate to the student's field of study.”
Relationship of course to program outcomes:
| 3a | 3b | 3c | 3d | 3e | 3f | 3g1 | 3g2 | 3h | 3i | 3j | 3k |
| H | H | M | M | H | M | H |
Prepared by: John Hauser, Peter Mathys (Chair) Dave Meyer,
Tom Mullis, Lucy Pao, and by V. Heuring.
June 1, 2005.
