Learning objectives
1) Knowledge and understanding
This module aims at providing students with basic knowledge and
understanding of:
- analysis techniques for first- and second-order systems in the frequency
domain
- transfer functions and frequency response functions
- characteristics and behavior of feedback systems
- methods for evaluating the stability of linear systems
2) Applying knowledge and understanding
Students will be able to:
- analyze the behavior of linear systems, and in particular of first- and
second-oder systems, by frequency domain analysis
- analyze behavior and stability of feedback systems
Prerequisites
Students must be familiar with the concepts and methods treated in the
mathematics and physics courses of the first two years of the degree
(Analisi matematica 1, Analisi matematica 2, Fisica generale 1, Fisica
generale 2).
Course unit content
The course aims to provide the students with the general criteria to analyze the behavior basic electronic circuits for signal processing. Therefore, the contents proposed during the course include the following topics:
1) Mathematical models of mechanical, electrical, and electro-mechanical linear systems
2) Frequency domain analysis of linear systems
3) Systems with feed-back
Full programme
1) Mathematical models of mechanical, electrical, and electro-mechanical linear systems
Examples of mathematical models of mechanical, electrical, and electro-mechanical linear systems. Linearity and linearization. Dynamic response of 1st and 2nd order systems. Under-damped 2nd order systems: parameters of the step response.
2) Frequency domain analysis of linear systems
Fourier and Laplace transform: examples and rules. Transfer functions. Step response of 1st and 2nd order systems. Series-connected systems. Feedback loops. Stability and the poles of the transfer function. Periodic regime: phasors and frequency response function. Bode plots. Bode stability criterion.
Bibliography
The student can study the topics discussed during the course reading the following textbook:
A. Hambley, “Electrical Engineering: Principles and Applications”, 6th ed., Prentice Hall, ISBN-10: 027379325X
The notes of the lectures and exercises will be available to students and shared on the Elly web site.
Teaching methods
The module 2 of the course counts 3 CFUs (one CFU, University Credits equals one ECTS credit and represents the workload of a student during educational activities aimed at passing the exams), which corresponds to 24 hours of lectures. The educational activities include lectures and exercises. During lectures, the course topics are proposed from the theoretical and design point of view in order to promote a deep understanding of the issues and to bring out by the students any previous knowledge on the subjects in question.The slides and notes used to support the lessons will be uploaded to the Elly Platform. Notes, slides, spreadsheets, tables, and all shared material are part of the educational material. For non-attending students, it is important to stay up-to-date on the course through the Elly platform, the only communication tool used for direct teacher/student contact. On this platform, the topics discussed in the lesson will be pointed out and registered, providing the students with an index of the contents for the final exam.
Assessment methods and criteria
Written exam. There is a single exam for the two modules making up the
integrated course. About Elementi di Elettronica, students will have to demonstrate knowledge of the techniques for the frequency-domain analysis of linear systems treated in the lectures, and the ability to apply them. They are also expected to be
able to analyze the behavior of simple circuits. It is considered important that students be able to solve simple quantitative exercises by hand calculation.
Other information
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2030 agenda goals for sustainable development
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