Estudia
- Artes y humanidades
- Ciencias
- Ciencias de la salud
- Ciencias sociales y jurídicas
-
Ingeniería y arquitectura
- Doble Grado en Ingeniería Civil e Ingeniería de los Recursos Mineros y Energéticos
- Doble Grado en Ingeniería en Tecnologías y Servicios de Telecomunicación / Grado en Ciencia e Ingeniería de Datos
- Doble Grado en Ingeniería Informática del Software / Grado en Matemáticas
- Doble Grado en Ingeniería Informática en Tecnologías de la Información / Grado en Ciencia e Ingeniería de Datos
- Grado en Ciencia e Ingeniería de Datos
- Grado en Ingeniería Civil
- Grado en Ingeniería de los Recursos Mineros y Energéticos
- Grado en Ingeniería de Organización Industrial
- Grado en Ingeniería de Tecnologías Industriales
- Grado en Ingeniería de Tecnologías Mineras
- Grado en Ingeniería Eléctrica
- Bachelor´s Degree in Industrial Electronics and Automatics Engineering
- Grado en Ingeniería en Geomática
- Grado en Ingeniería en Tecnologías y Servicios de Telecomunicación
- Grado en Ingeniería Forestal y del Medio Natural
- Grado en Ingeniería Forestal y del Medio Natural (En extinción)
- Grado en Ingeniería Informática del Software
- Grado en Ingeniería Informática en Tecnologías de la Información
- Grado en Ingeniería Mecánica
- Grado en Ingeniería Química
- Grado en Ingeniería Química Industrial
- Grado en Marina
- Grado en Náutica y Transporte Marítimo
- Información, acceso y becas
Señales y Sistemas
- Tutorías Grupales (2 Hours)
- Prácticas de Aula/Semina (14 Hours)
- Clases Expositivas (28 Hours)
- Prácticas de Laboratorio (14 Hours)
The course “Signals and systems” belongs to the set of subjects labelled as “Basic Engineering Knowledge”, in particular to a sub-set called “Signals and Systems” as well. In fact, it is the only course of the aforementioned sub-set. The course has a theoretical character and it stands out in the Telecommunication Engineering Degree due to : i) building the mathematical basis on which other courses of the degree rely on, and ii) serving as an example of many abstract mathematical concepts, which are studied in previous courses. In this sense, it can be stated that the contents of the course are used and particularized by a large number of courses. Thus, students are expected to acquire the competencies detailed in Section 4 through the learning results described in that section, being especially noteworthy those related to understanding and being able to apply the theory of signals and systems for continuous and discrete variable in order to perform different physics studies of highlighted interest for the degree: communications and systems of communications, transmission media and wave propagation, design and implementation of circuits, signal processing an discrete analysis of continuous systems, etc.
There are not previous requirements. However, the understanding of the course will be eased by solid knowledge of: (i) finite-dimensional algebra, (iii) real and complex variable calculus, and (iii) functional analysis (i.e., operations with real and complex variable functions)
Common skill sets
CG.3 | Knowledge of basic topics and technologies, enabling the learning of new one methods and technologies as well as providing versatility to adapt to new situations. |
CG.4 | Ability to solve problems with initiative, to take decisions, creativity, and to communicate and transmit knowledge and skills, understanding the ethic and professional responsibility of the activity of a graduated in Telecommunication Engineering. |
CG.9 | Ability to work in a multidisciplinary group and in a multilingual environment and to communicate through written and oral language, knowledge, procedures, results and ideas related to the telecommunications and electronics. |
Specific skills:
CB.4 | Understanding and command of basic concepts of linear systems and functions and transforms related to functions and its application to solve engineering problems. |
Learning outcomes:
RA-6.1 | To relate signal and system theory with the algebraic theory of signal and operator spaces. | CB.4 CG.3 | |
RA-6.2 | To apply the general theory to the conventional analysis of systems as well as to the mathematical modelling of physics problems | CB.4 CG.3 | |
RA-6.3 | To be able to use the general framework of signal transformation as well as to place the particular transforms described in the course in this general framework | CB.4 CG.3 | |
RA-6.4 | To relate, in terms of similarities and differences, the space signals for the continuous- and discrete-variable together with their (most usual) associated algebra, as well as to work with the signal parameters associated to each signal space | CB.4 CG.3 | |
RA-6.5 | To understand the particularization of the general algebraic analysis to the case of signals and systems of continuous variable, understanding the need of introducing mathematical concepts related to those spaces such as distribution theory or generalized functions. | CB.4 CG.3 | |
RA-6.6 | To understand, apply and operate the signal and system theory in continuous -variable: distribution theory, Fourier series, Fourier transform and Laplace transform understood as particular cases of the general definition of transform, as well as the spectral analysis of systems associated to those transforms, including simple examples of circuit analysis, modulations, filtering, etc. | CB.4 CG.3 CG.9 | |
RA-6.7 | To understand, apply and operate the signal and system theory in discrete-variable: Fourier series, Fourier Transform and z-transform understood as particular cases of the general definition of transform, including simple examples of discrete-variable systems | CB.4 CG.3 | |
RA-6.8 | To be able to operate in continuous- and discrete-variable signal spaces, understanding the relation between both signal spaces. | CB.4 CG.3 CG.4 | |
RA-6.9 | To be able to apply the concepts of ideal sampling to relate continuous-variable signals and systems with the corresponding discrete-variable signals in the real and transforms domains, as well as to design basic continuous-variable systems in terms of discrete-variable systems. | CB.4 CG.3 CG.4 |
Part I: Introduction and General Analysis
Chapter 1: Introduction to the course 1.1 Relation between the algebra/calculus and the signal and system theory 1.2 General overview of the course |
Chapter 2: Function (signal) spaces 2.1. Definition of signal 2.2 Review of vector spaces and connection to signal spaces 2.3 Classification of signals 2.4 Basic parameters for signal characterization 2.4. Basic operations with signals |
Chapter 3: Operator spaces (systems) 3.1. Summary of signal mappings 3.2 Operators (systems) on space signals 3.3 Properties of the systems 3.4 Convolution operation 3.5. Correlation of deterministic signals |
Part II: Continuous-variable Signals and Systems
Chapter 4: Relevant starting signals 4.1. Periodic signals 4.2. Aperiodic signals 4.3. Complex exponential function |
Chapter 5: Introduction to distribution theory 5.1 Introduction and general definition 5.2 Definition of the Dirac delta distribution and physical meaning 5.3 Relationship with the unit step function 5.4 Operations on distributions (derivative, product, convolution, system solving) 5.5 Summary of properties |
Chapter 6: Periodic signals: the Fourier series (FS) representation 6.1 Definition 6.2 Convergence 6.3 Properties 6.4 Examples 6.5 Connection with linear and shift-invariant systems |
Chapter 7: Aperiodic signals: The Fourier transform (FT) 7.1 Definition 7.2 Convergence 7.3 Properties 7.4 Examples 7.5 Connection with linear and shift-invariant systems 7.3 Energy and power spectral density 7.4 Bandwidth |
Part III: Discrete-variable Signals and Systems
Chapter 8: Relevant starting signals 8.1. Periodic signals 8.2. Aperiodic signals |
Chapter 9: Periodic signals: Fourier series (FS) representation of discrete-variable signals 9.1 Definition 9.2 Convergence 9.3 Properties 9.4 Examples 9.5 Connection with linear and shift-invariant systems |
Chapter 10: Aperiodic signals: the Fourier transform (FT) of discrete-variable signals 10.1 Definition 10.2 Convergence 10.3 Properties 10.4 Examples 10.5 Connection with linear and shift-invariant systems 10.6 The Discrete Fourier Transform (DFT) |
Part IV: Relation between continuous- and discrete-variable signals/systems
Chapter 11: Discrete- and Continuous-variable signals/systems 11.1. Sampling and reconstruction of continuous-variable signals 11.2. Modelling a continuous-variable linear and invariant system by means of a discrete-variable linear and invariant system |
Appendixes: Complex-Variable Transforms
Appendix 1: Continuous variable: the Laplace transform Appendix 2: Discrete variable: the z-transform |
Theoretical classes will be structured into lectures and problem-solving sessions, which will make use of the blackboard complemented by slides and/or other digital resources to ease the understanding of the course concepts.
The laboratory classes are structured into two parts. The first part is related to some relevant analysis of signals whereas the second part is focused on signal and system theory with a special emphasis on practical aspects, which will be further elaborated on subsequent courses. Thus, this structure aims to relate the contents of lectures with other courses remarking the basic nature of this course. For this purpose, software tools (MATLAB) will be used to provide a practical point of view of the presented concepts.
In addition, two group-tutoring sessions are scheduled to revise the doubts and concerns from students as well as to finish any remaining work from laboratory sessions. For these sessions, students are arranged in small groups with a distribution similar to that one for laboratory sessions.
According to the verification memory, the teaching structure of this course is shown in the following tables:
ON-SITE WORK | OFF-SITE WORK | ||||||||
Chapters | Total Hours | Lectures | Class practice / Seminars / Workshops | Laboratory practice / field / computer / language | Group tutoring | Total | Group work | Autonomous work | Total |
Chapter 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | |
Chapter 2 | 18 | 3 | 2 | 2 | 7 | 2 | 9 | 11 | |
Chapter 3 | 18 | 3 | 2 | 2 | 7 | 2 | 9 | 11 | |
Chapter 4 | 3 | 1 | 0 | 0 | 1 | 0 | 2 | 2 | |
Chapter 5 | 10 | 3 | 1 | 0 | 4 | 0 | 6 | 6 | |
Chapter 6 | 22 | 4 | 2 | 4 | 1 | 11 | 3 | 8 | 11 |
Chapter 7 | 20 | 4 | 1 | 4 | 9 | 3 | 8 | 11 | |
Chapter 8 | 4 | 1 | 1 | 0 | 2 | 0 | 2 | 2 | |
Chapter 9 | 11 | 2 | 1 | 0 | 3 | 0 | 8 | 8 | |
Chapter 10 | 11 | 2 | 1 | 0 | 3 | 0 | 8 | 8 | |
Chapter 11 | 14 | 1 | 1 | 2 | 4 | 2 | 8 | 10 | |
Annex A | 10 | 2 | 1 | 0 | 1 | 4 | 0 | 6 | 6 |
Annex B | 8 | 2 | 0 | 0 | 2 | 0 | 6 | 6 | |
Total | 150 | 28 | 14 | 14 | 58 | 12 | 80 | 92 |
MODES | Hours | % | Total | |
On-site | Lectures | 28 | 18,7 | 58 |
Problem-solving sessions / Seminars / Workshops | 14 | 9,3 | ||
Laboratory sessions/ field / computer / language | 14 | 9,3 | ||
Clinical practice | 0 | 0 | ||
Group tutoring | 2 | 1,3 | ||
Internships | 0 | 0 | ||
Evaluation sessions | 0 | 0 | ||
Off-site | Group work | 12 | 8 | 92 |
Autonomous work | 80 | 53,3 | ||
Total | 150 |
Exceptionally, if sanitary conditions require it, non-classroom activities may be included. In this case, students will be informed of the subsequent changes.
ORDINARY CALL
The standard assessment of this course for the ordinary call is composed of the following items:
- WRITTEN EXAM: it has a weight of 70% in the final mark. It consists of a written test, without additional bibliographic material, with questions/exercises about the theoretical lectures and problem-solving classes according to the course syllabus.
- CONTINUOUS ASSESSMENT: it has a weight of 30% in the final mark. This assessment is performed by means of the problem-solving and laboratory sessions:
- The continuous assessment of the solving-problem sessions has a weight of a 10% in the final mark and it is carried out by means of a written test, which will take place on a date to be set at the begininning of the course.
- The continuous assessment of the laboratory sessions has a weight of 20% in the final mark. The lab sessions are grouped in two blocks. the first block corresponds to a 7% of the PL mark and the second block to a 13% so that the sum corresponds to the aforementioned 20% of the overall mark. Several tests will be acccomplished to obtain that mark. At least one test, focused on the first block contents, will be held during the third laboratory session and another test test will be held in the penultimate laboratory sessions according to the official schedule of the Engineering school for each laboratory group. Additional testes could be done at each PL session.
EXTRAORDINARY CALLS
The standard assessment of the course for the extraordinary call is composed of the following items:
- WRITTEN EXAM: this test has a weight of a 80% in the final mark and it consists of two parts:
- MAIN PART: it has a weight of a 70% in the final mark. It consists of a written test, without additional bibliographic material, with questions/exercises about the theoretical lectures and problem-solving classes according to the course syllabus.
- PROBLEM-SOLVING SESSION RETAKE: it has a weight of 10% in the final mark. The student can choose to keep the mark achieved in the continuous assessment or to carry out this test. Retaking implicitly entails waiving the mark achieved in the continuous assessment.
- LABORATORY SESSION ASSESSMENT: it has a weight of 20% in the final mark. It consists of a theoretical-practical test, without bibliographic material, with a focus on practical problems. The student can choose to keep the mark achieved in the continuous assessment or to carry out this test. Retaking implicitly entails waiving the mark achieved in the continuous assessment.
IMPORTANT REMARK:
The aforementioned assessment is only valid during the corresponding academic year:
- None of the partial marks obtained during the current academic year will be saved for next years.
- None of the partial marks obtained in the previous years will be considered during the current academic year.
Next, the basic and complementary bibliography is detailed. In addition, other resources used in the laboratory sessions and lectures are also enumerated:
Basic bibliography:
- E. Gago-Ribas. Señales y Sistemas Escalares Unidimensionales de Variable Real. Vol. ST-I. Preliminary version in notes format. GR Editores, S.L. (discontinued), 2002. (Campus Virtual)
- E. Gago-Ribas. Señales y Sistemas Escalares Unidimensionales de Variable Real. Ejercicios Resueltos. Vol. ST-II. GR Editores, S.L., León, 2009. http://www.greditores.com
- A. V. Oppenheim, A. S. Willsky, I. T. Young. Signals and Systems (2nd. Ed.), Prentice-Hall International, 1997.
- Samir S. Soliman, Mandyam D. Srinath, Continuous and Discrete Signals and Systems, Prentice-Hall International, second edition, 1992.
Supplementary bibliography:
- S. S. Haykin, B. Van Veen, Signals and systems, John Wiley and Sons, 2001.
- C. Gasquet y P. Witomski, Fourier analysis and applications, Springer, 1999.
- A. V. Oppenheim, R. W. Schafer, Digital Signal Processing, Pearson, 1975.
- A. D. Poularikas, S. Seeley. Signals and Systems. PWS Publishers, 1985.
Other resources:
- Digital material in the “Campus Virtual” of the Universidad de Oviedo.
- Software MATLAB.
- Mathematical tables and handbooks:
- M. Abramowitz & I. A. Stegun. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Dover Publications, Inc., 1972.
- Seymour Lipschutz , Murray Spiegel, John Liu . Schaum's Outline of Mathematical Handbook of Formulas and Tables. McGraw-Hill. (Fifth edition), 2018.