Teaching code

4S012384

Credits

9

Coordinator

Riccardo Muradore

Language

Italian

Also offered in courses:

• Introduction to system and signal analysis with laboratory of the course Bachelor's degree in Human Centered Medical System Engineering
• Introduction to system and signal analysis with laboratory - Laboratorio of the course Bachelor's degree in Human Centered Medical System Engineering
• Introduction to system and signal analysis with laboratory - Teoria of the course Bachelor's degree in Human Centered Medical System Engineering
• Introduction to system and signal analysis with laboratory - Laboratorio of the course Bachelor's degree in Applied Mathematics
• Introduction to system and signal analysis with laboratory - Teoria of the course Bachelor's degree in Applied Mathematics
• Introduction to system and signal analysis with laboratory - Laboratorio of the course Bachelor's degree in Applied Mathematics
• Introduction to system and signal analysis with laboratory - Teoria of the course Bachelor's degree in Applied Mathematics

Scientific Disciplinary Sector (SSD)

ING-INF/04 - SYSTEMS AND CONTROL ENGINEERING

Courses Single

Authorized

Moodle Seminars 0

The teaching is organized as follows:

Learning objectives

The course aims to provide the skills to create mathematical models of linear time invariant systems and to analyze the fundamental properties of such systems and their input and output signals, in the time and frequency domain. At the end of the course the student will have to demonstrate knowledge and understanding of the computation of the main properties of linear time invariant systems and their output signals; have the ability to apply the acquired knowledge and understanding to develop mathematical models of linear time invariant systems suitable for a given application; knowing how to develop the necessary skills to autonomously continue studies in the field of systems and signals analysis.

Prerequisites and basic notions

The course requires knowledge in Calculus I and II, Physics I and II, Linear Algebra and Geometry, Fundamentals of Computer Science. Notions of Programming are also required (e.g., Java, C / C ++, Python).

Program

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UL: Teoria
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Program - THEORY
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1. Introduction to the world of systems and signals.
2. Review of complex numbers, functions of complex variables, complex power series, convergence, Euler's formula.
3. Continuous time signals. Time domain: definitions, energy and power, fundamental signals.
4. Continuous-time systems: description using differential equations. Main properties: stability.
5. Linear time-invariant systems: impulse response, frequency response. Convolution. Bode diagrams.
6. The Laplace transform, the transfer function and the analysis of systems in s.
7. Frequency domain: Fourier series, Fourier transform.
8. Sampling theorem.
9. Discrete time signals. Study over time: definitions, fundamental signals.
10. Discrete time systems. Fundamental systems and definitions. Convolution. Filters: impulse response, forced response. ARMA model.
11. Frequency domain: Fourier transform and zeta transform. 12. Generalization to multidimensional signals.
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UL: Laboratorio
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During the laboratory sessions, some of the methodologies introduced during the theory lessons will be explored in depth and different problems will be solved using MATLAB (mainly). The software will be appropriately introduced and used to represent/analyse continuous and discrete signals and systems, creating specific scripts and functions. Finally, system analysis will be addressed using the Simulink environment.

Didactic methods

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UL: Teoria
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The course will consist of lectures in the classroom, along with shared slides, notes and possible additional material that could be useful to deepen the topics.
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UL: Laboratorio
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Computer programming (MATLAB/Simulink) supported by slides and codes to complete/develop. Exercises related to the topics covered in the theory lessons, both for the signals and systems part.

Learning assessment procedures

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UL: Teoria
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The exam consists of two parts, theory and laboratory. The theory (written) part consists of theoretical questions regarding the topics covered during the course together with some exercises, all aimed at evaluating both the level of learning and understanding of the theoretical foundations studied during the course and the ability to critically apply them for solving engineering problems.
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UL: Laboratorio
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The laboratory test will be carried out in computer rooms and will allow to evaluate the ability to use MATLAB in the field of systems and signals, by implementing short codes for the resolution of specific questions related to the topics covered.

Evaluation criteria

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UL: Teoria
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At the end of the course the student will have to demonstrate that:
1. they have fully understood the main topics inherent to systems and signals, both in continuous and discrete context, and of the related terminology;
2. have a critical view of the topics addressed during the course and of the results derived from the application of specific methods;
3. knowing how to apply the knowledge acquired to critically solve given engineering problems with varying degrees of complexity;
4. have achieved a good degree of competence in the use of IT tools for the analysis of systems and signals, especially the MATLAB software.
Both parts (theory and laboratory) will be carefully evaluated, thus giving equal importance to the correctness and effectiveness of the solutions adopted in the phase of solving concrete problems, as well as to the understanding of the theoretical concepts relating to systems and signals.
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UL: Laboratorio
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In order to positively pass the Laboratory exam, students have to demonstrate that:
- they have understood the basics of MATLAB and are able to develop MATLAB code that should be run without errors;
- they are able to implement MATLAB scripts and functions to solve problems related to the analysis of signals and systems, both continuous-time and discrete-time.

Criteria for the composition of the final grade

The final grade will be the sum of the scores from the theory part (2/3) and the laboratory part (1/3). The theory part consists of theoretical questions (THEORY)) and exercises (EXERCISES). The exam is passed if each of the three sections (THEORY, EXERCISES, LAB) achieves a score greater than or equal to 18.
The final grade will be calculated according to the formula
(2/3)*((8/30)*THEORY + (22/30)*EXERCISES) + (1/3)*LAB.
The theory part (THEORY + EXERCISES, accounting for two-thirds of the final grade) consists of a single written exam, and not in two separate tests taken at different times.
Each grade remains valid for the entire current academic year.

Exam language

Italiano

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