Teaching code

4S009872

Credits

9

Coordinator

Not yet assigned

Language

Italian

Scientific Disciplinary Sector (SSD)

ING-INF/06 - ELECTRONIC AND INFORMATICS BIOENGINEERING

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 Mathematical Analysis 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.

Bibliography

Didactic methods

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, and practical exercises at the computer in the laboratory.

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

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.
Concerning the composition of the final grade, this will be given by the sum of the evaluations of the theory part (2/3) and of the laboratory part (1/3). The exam is considered passed if in each of the two parts a score greater than or equal to 18 is achieved. Each evaluation remains valid for the entire current academic year.

Criteria for the composition of the final grade

The final grade will be given by the sum of the evaluations of the theory part (2/3) and the laboratory part (1/3). The exam is considered passed if in each of the two parts a score greater than or equal to 18 is achieved. Each evaluation remains valid for the entire current academic year

Exam language

Italiano

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