The BRADLEY DEPARTMENT of ELECTRICAL and COMPUTER ENGINEERING

# ECE 2714 Signals and Systems | ECE | Virginia Tech

### Course Information

#### Description

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.

#### Why take this course?

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.

### Learning Objectives

• 1. Describe a given system using a block-level description and identify the input/output signals.
• 2. Mathematically model continuous and discrete linear, time-invariant systems using differential and difference equations respectively.
• 3. Analyze the use of filters and their interpretation in the time and frequency domains and implement standard filters in hardware and/or software.
• 4. Apply computations of the four fundamental Fourier transforms to the analysis and design of linear systems.
• 5. Communicate solutions to problems and document projects within the domain of signals and systems through formal written documents.

### Course Topics

#### 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%