Course: 2024/2025

Systems and Circuits

(15369)

Requirements (Subjects that are assumed to be known)

Calculus I, Linear Algebra, Physics

The objectives of the course are 1) to introduce the basic concepts of signals and systems, and 2) as an application of the above, to introduce the basic concepts of electric circuit analysis.
1.- Specific objectives:
- Signal concepts
- Signal representation of physical magnitudes
- Classification of signals: continuous and discrete time
- Time operations: time reversal, scaling, time-shift
- Signal operations: integration, differentiation
- Special signals: unit impulse and step; exponentials.
- Signal Synthesis as linear spaces composition.
- System concepts
- Interconnection: series, parallel, feedback
- Properties: memory, causality, time invariance, stability, linearity
- Impulse response
- Signal Processing
- Convolution, Filtering
- Application to Electric Circuit Analysis
- Kirchhoff Laws
- Sinusoidal steady-state analysis.
1.2.- Instrumental
- Programming
- Signal and Systems simulation
- Analysis of basic electric circuits.
- Using lab. equipment to monitor the circuit implementations

Skills and learning outcomes

Description of contents: programme

Topic 1. Signals
Properties of signals
Operations with signals
Topic 2. Systems
Properties of systems
Interconnection of systems
Linear and Time Invariant Systems (LIT)
Topic 3. Resistive circuits
Resolution of circuits by nodes and meshes
Source transformation: Thèvenin and Norton
Topic 4. Sinusoidal steady state
Passive elements in the sinusoidal steady state: phasors and impedance
Kirchhoff's laws in the phasor domain. Circuit analysis
Topic 5. Linear circuits as linear and time invariant systems.
Passive circuit elements
First order analogue filters

Learning activities and methodology

The course consists of the following elements: lectures, exercises, and laboratories:
LECTURES (2.5 ECTS)
The lectures provide the students with explanation of the core material in the course. Numerous examples of signals and systems, their properties and behavior will be given using backboard and audiovisual support (slides, video, ...). In the second part of the course, the analysis and design of simple electric circuits will be discussed as a practical example to understand the application of the mathematics for lineal systems.
EXERCISES (2.5 ECTS)
Students will be encouraged to solve the exercises and to organize themselves forming small groups that will have to solve some basic problems given in advance.
LABORATORIES (1 ECTS)
The laboratories provide the students with hands-on experience to understand the fundamentals of signals, systems and circuits. Some basic signals processing demos and simple electric circuits will be analyzed. Students will also learn how to use of Matlab for signal processing and circuit analysis. Students must come prepared for the laboratory sessions.

Assessment System

- % end-of-term-examination 50
- % of continuous assessment (assigments, laboratory, practicals...) 50

Calendar of Continuous assessment

Extraordinary call: regulations

Basic Bibliography

- Alan V. Oppenheim, Alan S. Willsky, with S. Hamid. Signals and Systems. Prentice Hall; 2 edition (August 16, 1996).
- Allan H. Robbins Wilhelm Miller (Wilhelm C.). Circuit analysis: theory and practice. Cengage Learning Editores. 2012

Additional Bibliography

- Jesús Fraile Mora. Circuitos Eléctricos. Pearson. 2012

The course syllabus may change due academic events or other reasons.