Mathematical methods for the analysis and design of continuous and discrete linear, time-invariant systems. Representation of signals using time-domain and frequency-domain methods and the application of Fourier transforms to linear system design and analysis. Descriptions of systems as signal transformations using block diagrams, differential equations, difference equations, convolution, and transfer functions. Applications to signal filtering, measurement, and control of the physical devices. Formal project documentation adhering to professional practices.
Signals and systems concepts arise in a wide variety of science and engineering fields. The ability to apply linear systems theory is essential to the disciplines of electrical and computer engineering and is the foundation of many upper level courses. This course introduces the mathematical analysis tools needed for the study of signals, signal processing, system description, and system response. These tools include Fourier methods and frequency response concepts that constitute the fundamental analysis methods in all of engineering. Course concepts are illustrated and integrated by means of hands-on projects.
Percentage of Course
|1. Continuous and discrete signal representation and properties||10%|
|2. Linear time-invariant system representations||15%|
|3. Fourier series||5%|
|4. Continuous time Fourier transform||15%|
|5. Discrete time Fourier transform||15%|
|6. Frequency characterization of signals and systems||10%|
|7. Filtering in continuous and discrete domains||10%|
|8. Transformation to/from discrete and continuous signals||5%|
|9. Applications to electrical and computer systems||10%|
|10. Professional communication through formal documents||5%|