# Systems and Circuits

## Course Description

• ### Course Name

Systems and Circuits

• ### Area of Study

Electrical Engineering, Systems Engineering

• ### Language Level

Taught In English

• ### Prerequisites

STUDENTS ARE EXPECTED TO HAVE COMPLETED:

Calculus I, Linear Algebra, Physics

• ### Course Level Recommendations

Lower

ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

### Hours & Credits

• ECTS Credits

6
• Recommended U.S. Semester Credits
3
• Recommended U.S. Quarter Units
4
• ### Overview

Systems and Circuits (214 - 13323)
Study: Bachelor in Audiovisual System Engineering
Semester 2/Spring Semester
1st Year Course/Lower Division

Students are Expected to have completed:
Calculus I, Linear Algebra, Physics

Compentences and Skills that will be Acquired and Learning Results:

The objectives of the course are 1) to introduce the basic concepts of signals and systems with an emphasis on their use in communication, and 2) as particularization of the above, to introduce the basic concepts of electric circuit analysis.

To achieve these goals, the student must acquire the following ABET program outcomes:
a, b, e, k.
Related to the following competences:
1.- General competences
- Analysis and synthesis (PO: b)
- Problem solving (PO: a, e, k)
- Ability to apply theoretical concepts (PO: a, b, e, k)
- Ability to integrate knowledge (PO: a, b)

2.- Specific competences
2.1.- cognitive (PO: a, b, e, k)
- 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
- Basic signals: unit impulse and step; exponentials.
- Signal Synthesis.
- System concepts
- Interconnection: series, parallel, feedback
- Properties: memory, causality, time invariance, BIBO stability, linearity
- Impulse and step response
- Signal Processing
- Convolution, Filtering
- Electric Circuit Analysis
- Kirchhoff Laws
- Node-voltage and mesh current methods
- Resistive circuits
- First-order filters.
2.2.- Instrumental (PO: b, e, k)
- Programming with signal processing software (Matlab)
- Signal and Systems simulation
- Analysis and synthetisis of basic electric circuits.
- Using lab. equipment to monitor the circuit implementations
2.3 Attitude (PO: e, k)
- Individual and team work
- Decision making
- Abstraction ability.

Description of Contents: Course Description

1. Signals
1.1 Properties of the signals: regularity, symmetry
1.2 Characterization of signals: energy and average power. RMS value
1.3 Basic operations with signals: time reversal, scaling, shifting
1.4 Basic signals.
1.5 Vectorial interpretation of signals
1.6 Introduction to the Fourier Series

2. Systems
2.1 Introduction
2.2 Interconnection of systems: series, parallel and feedback systems
2.3 Properties of the systems: causality, stability, time invariance, linearity
2.4 Linear Time-Invariant Systems (LTI)
2.5 Convolution
2.6 Properties of the SLIT
2.7 Unit Step response
2.8 Interconnection of the SLIT

3. Resistive Circuits
3.1 The electrical case: passive and active circuit elements
3.2 Resolution of circuits by means of Kirchhoff Laws
3.3 Node-Voltage and Mesh-current analysis
3.4 Source Transformations
3.5 Thèvènin and Norton Equivalent Circuits

4. Filters: Time behavior
4.1 Analysis in the time domain of filters
4.2 Auxiliary and Initial conditions
4.3 Properties: Linearity and Time-Invariace of the filters
4.4 Analysis of First-order Filters
4.5 Analysis of Second-order Filters

5.1 Phasor
5.2 Impedance
5.3 Kircchoff Laws in the phasor domain
5.4 Circuit Analysis in the phasor domain
5.5 Power

Learning Activities and Methodology:

The course consists of the following elements: lectures, exercises, tutorials, and laboratories:

LECTURES (2.5 ECTS) (PO: a, k)
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 audiovisual support (slides, video, ...). In the second part of the course, the analysis and design of simple electric circuits will be discussed. In both parts, the basic objective is that students understand basic fundamentals in a qualitatively way.

EXERCISES (2.5 ECTS) (PO: a, k)
In these sessions, students will be encouraged to organize themselves forming small groups that will have to solve some basic problems given in advance.

LABORATORIES (1 ECTS) (PO: a, b, k)
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:

Assessment includes:
- Laboratory Exercises (10 %) (PO: b, k)
- Mid-term exam(s) (30 %) (PO: a, e)
- Final exam (60 %) (PO: a, e)
- The final examination is a standard closed-book written examination. The examination will test knowledge and understanding of all major aspects covered in the course. To pass the course the students will need to score at least 40% of the mark of the final exam.

Basic Bibliography:

Alan V. Oppenheim, Alan S. Willsky, with S. Hamid. Signals and Systems. Prentice Hall; 2 edition (August 16, 1996). 1996
James W. Nilsson, Susan Riedel. Electric Circuits. Prentice Hall; 9 edition (January 13, 2010). 2010

### Course Disclaimer

Courses and course hours of instruction are subject to change.

ECTS (European Credit Transfer and Accumulation System) credits are converted to semester credits/quarter units differently among U.S. universities. Students should confirm the conversion scale used at their home university when determining credit transfer.

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