Nowadays any field of human activity requires the support of electronics: communication
systems, multimedia services, control of industrial processes, energy management,
automotive, medicine, etc.
There are just a few examples of the use of electronics that
demonstrate their transversal nature. From the microchips to the motors of the trains, the
electronics are everywhere wherever you look. In addition, the current tendency to produce
electricity as a net source of energy makes electronics even more current than ever.
This degree aims to train graduates to meet the needs of companies and institutions in the
diverse sectors of highly qualified personnel in design and technological development in the
field of electronics. The degree provides a solid foundation in both physical and electronic
principles and mathematicians that requires discipline with a future that goes beyond what we
can now imagine. Electronics since its inception is a constantly evolving technology where
research and technology transfer are key factors. Read less
What types of work electronic engineers develop?
Professional outings are all those that are related to the design, implementation and
management of electronic systems in all fields and sectors where electronic technology is
Examples include consumer electronics, telecommunications, micro and nano
technologies, the automobile industry, robotics, multimedia image and sound systems, energy,
medicine, bioengineering, photonics, industry aeronautics and aerospace, and research
centers in all these areas.
This university degree also allows you to develop project management tasks and is associated
with content with high labor demand as shown by its high employment index.
In addition, the degree in Electronic Engineering enables the regulated profession of
Telecommunications Technical Engineer.
What is different from other degrees of the ETSETB?
At the moment the ETSETB provides the Degrees of Engineering of Technologies and Services
of Telecommunication, the degree of Physical Engineering, the Degree of Science and
Engineering of Data and this degree of Electronic Engineering. Read more
All these degrees represent current technologies that are constantly growing. Since the birth of
electronics in the early 20th century, this has always been closely related to communications
and data processing. For a time, only one degree, such as Telecommunication Engineering, was
sufficient for this field. At the moment the technology has evolved and it has integrated in
many new dominions. Like in any mature technology, you need to specialize to work on the
Within this field, Physical Engineering is the degree that is closer to the physical principles. Its
challenge is to develop new technologies based on the intimate knowledge of the subject at its
lowest level. Telecommunication engineering develops highly complex systems and advanced
telematic services. Data processing, in itself, is also an expanding discipline and requires a
specific degree. This degree in Electronic Engineering, although it has common elements with
Telecommunication, focuses on the technology that supports its most intimate level and
provides highly transversal knowledge applicable to many other areas. Read less
One degree with demand
The Degree in Electronic Engineering is associated with content with a high labor demand.
AQU Report on Labor Insertion 2014: Electronic Engineering second in the occupational quality index.
(Ing. Organización Industrial 1º, Ing. Telecomunicación 4º, Ing. Informática 7º).
Survey INE of Labor Insertion of University Graduates of 2015: Electronic Engineering in the first place.
(Eng. In Automation and Industrial Electronics in third place, Eng. Telecomunicación is number eight).
Access to the degree
The most common way of accessing is to complete the university pre-enrollment
(https://accesnet.gencat.cat) and pass the University entrance examinations (PAU). It is highly
recommended to have done the Science and Technology modality in previous studies.
The curriculum consists of 240 ECTS credits distributed in 8 semesters. In the technological
studies the laboratory experience is crucial; therefore, 30% of the credits of the compulsory
subjects correspond to laboratory activities. The plan has 18 elective credits that allow it to be
adapted to the student's concerns. Additionally, a total of 30 credits can be taken at
institutions or companies outside the university, which provides a valuable experience for the
The learning is continuous and with a strong applied and practical character, 30% of the credits
of the degree are developed in laboratories. The school has always prioritized maintaining and
improving the technological quality of the 36 laboratories with which it has. The main objective
is to ensure that the student achieves the practical knowledge required by the company at the
time of finishing the degree.
In addition, the practices are done in small groups to enhance the interaction with the
teaching staff. Some of the practices are developed in multidisciplinary projects that bring the
student closer to the reality of professional engineering work.
The engineering is based on applied calculations, for this reason the first courses are the
mathematical contents necessary to develop current and future technologies.
The degree is comparable to other degrees in Electrical Engineering as those provided by other international institutions:
EPFL Lausanne (Switzerland), Imperial College London (UK), TU Delft (Netherlands), Politecnico di Milano (Italy),
TU Belin (Germany), MIT, Standford and Georgia Tech University (USA).
High qualification and experience of the teaching staff
The faculty that teaches the degree is highly qualified and has a high level of experience both at the teaching and
research level. This is reflected in the various awards and recognitions that he has received both nationally and
High level of experimentality
The practical credits reach about 30% of the compulsory contents and the theory groups are split to carry out the
practices. The ETSETB has 36 teaching laboratories. Maintaining and improving the technological quality of these
laboratories has always been a priority for the school's management teams. The current value of the set of
equipment exceeds 2,000,000 Euros, with an average annual investment for renovations and new acquisitions of around
80,000 Euros. The main objective is to guarantee that the student will have the practical knowledge required by
any company at the time of finishing the degree.
Wide optional offer
Within the plan, 18 credits correspond to elective subjects. In this way the student can guide its knowledge towards
the profiles that are more of their interest.
Great selection of mobility offers
The ETSETB has mobility agreements with prestigious foreign universities, both at European level: École Polytéchnique
de Paris, Telecom Paris, RWTH Aachen, TU Darmstadt, KTH Stockholm, Politecnico di Torino in Italy, etc .; as in
the United States of America: MIT, Purdue University, Georgia Tech, University of Southern California, Northeastern
University, etc .; in Canada: École Polytechnique de Montréal, École de Technologie Supérieure; or in Japan: National
Institute of Informatics.
Connected with companies in the sector
The student will have a wide range of paid internship agreements with companies in the sector. Many of these projects
are carried out in companies of great international relevance such as Alcatel-Lucent in France, Bell-Labs in the
United States, Technicolor in Germany, France and the United States, Intel in the United States, Philips in the
Netherlands and France, Nokia in Finland, the CERN or the German Aerospace Center.
Companies in the sector also participate in subjects such as Systems Integration, where groups of students develop projects
proposed by companies and institutions. In the Final Degree Thesis, students also have the possibility of developing
an individual work within a company acquiring valuable experience for the practice of the profession.
Once the degree is completed, a wide variety of possibilities for the future is opened
At a professional level, the degree qualifies for the exercise of the profession of Technical Telecommunications
Engineer with specialization in electronic systems technology. A wide range of professional opportunities
is opened upon completion of the degree given the ubiquity of electronics in virtually all fields of
At the end of the degree it is possible to continue the academic training by taking a master course both
within the school and in the wide national and international offer available.
Master's degree in Electronic Engineering (MEE)
Completed the degree, and after having passed 60 graduate credits, it is possible to research in leading
research fields associated with doctoral programs. Among them, the one offered by the Department of
The ETSETB and the Department of Electronic Engineering, through its board of trustees,
guarantees that the studies are suitable for companies in the sector. Additionally, the ETSETB
has multiple agreements for the realization of practices in local and foreign enterprises.
Lear Corporation is ranked #151 on the Fortune 500 with world-class products designed, engineered and manufactured
by a diverse team of talented employees. As a leading supplier of automotive seating and electrical, Lear serves
its customers with global capabilities while maintaining individual commitment. With headquarters in Southfield,
Michigan, Lear maintains 257 locations in 38 countries around the globe and employs approximately 156,000 employees.
Applus + Laboratories (LGAI Technological Center S.A.) is a specialist in the development of technical solutions
to improve the competitiveness of products and encourage innovation. Our experience in testing and our leading
and recognized laboratories allow us to intervene in the entire value chain of products through testing services,
product development, quality control and certification.
At HP we believe in reinvention. We believe that technology makes everyone's life, anywhere, better. This
vision guides everything we do, how we do it and why we do it. You can start this journey of your reinvention
at HP Barcelona. Our center was founded in 1985 and has become the most important R & D Center of HP outside
the USA. Our success is based on the perfect combination of the best and most diverse talent, the best technology,
the great knowledge of the market and our ability to adapt.
Monolithic Power Systems
As a leading international semiconductor company, Monolithic Power Systems (MPS) creates cutting-edge solutions
to improve the quality of life with green, easy-to- use products. We make power design fun! With our innovative
proprietary technology processes, we thrive on re-imagining and re-defining the possibilities of high-performance
power solutions in industrial applications, telecom infrastructures, cloud computing, automotive, and consumer
IDNEO provides services for the development, validation and manufacture of technological products to global clients.
Its multidisciplinary teams specialized in automotive, medical devices, consumer electronics and industrial
products have a profoundly technological knowledge that allows them to face complex challenges, guarantee reliability
and quality with a flexible approach that adapts to the needs of their clients.
You will study at a school where research is the main axis of development and innovation. In
the last 25 years, its professors and researchers, within its research groups, have published
more than 5,000 articles in international journals, have developed more than 1,700 R & D
projects, more than 700 theses have been read PhDs and have registered more than 220
The degree is taught at the ETSETB within the Campus Nord of the UPC. Students have a wide
range of services both in the teaching and leisure fields.
We are surrounded by electronic circuits that help us in a multitude of tasks and we are so accustomed to them that
we do not even realize that they exist and they are so useful to us. From appliances we have at home that are connected
to the network or work with batteries, and that make life easier by controlling the temperature of the rooms or the
food we want to heat or cool; to those we find in a movie theatre, in an operating room, in a subway station, at
an airport, in a room with video games ... all of them are based on electronic circuits that exchange electrons,
We talk about the "cloud" where we have stored our photos, videos, lessons ... we are stuck to the multiple possibilities
that our smartphone allows us ... we are fascinated with the possibilities of the Internet of things, the concepts
of smart-city, smart-mobility, ehealth, elearning, ... we admire the increasingly advanced capabilities of cars and
motorcycles ... we want the energy to be distributed more efficiently and transform it with less contamination...
... all these concepts and realities are based on electronic circuits.
The basic concepts of circuits and how to analyze them are explained so that in more advanced courses we can design
them. We will learn the concepts of circuit variables (current and voltage) and what relation they have in different
circuit elements (resistance, condenser, coil, diode (and LED), transistor, solar cell, amplifier, etc.). We will
present the basic equations that relates the circuit variables and based on all these knowledge we will analyze different
types of circuits and we will see its advantages and disadvantages for different uses.
Summary of content:
Concept of circuit. Variables. Elements. Laws of interconnection, Kirchoff Laws.
Analysis of linear resistive circuits. Simplification techniques. Equivalent circuit. Series and parallel resistors. Association
Systematic methods. Nodes and mesh.Modelling of active circuits. Dependent sources.
Theorems of linear circuits. Thevenin, Norton. Charging effects and maximum power transfer.
Nonlinear circuits. Large signal model: Diode, LED, Solar cell, BJT. Numerical analysis, graph (load line) and rectilinear
Operational amplifier. Linear and nonlinear work. Virtual short circuit. Basic stages.
Algorithms and Programming
The course presents concepts of basic algorithms to solve calculus problems of small and medium complexity. The student
is introduced in the computers world, as well as in the programming world by means of the Python language, introducing
its syntax, data structures, functions and modules. Students will achieve problem solving ability, thinking solutions
in a creative way, while expressing it in a clear and concrete manner.
Brief list of topics:
Structured data types: lists, tuples, dictionaries
Algorithms of structured types
It must be boring to be God, and have nothing to discover. Stephen Hawking
The art of observation cannot be done when it is controlled by the dogma. Paradoxically, General physics is often presented
as a rules set to be learned and correctly applied. Completely different conception is involved here where theoretical
formulations are presented as tools to be used in the predictive and scientific observation and discarded if they
are not useful for such purposes. Simultaneously, approaching to subjects involved in physical electronics will be
performed. Initially, a classical point of view is introduced thought a review of a single particle physics which
basics concepts will be applied in a many particle system scenario. Introduction of statistics in a many particle
system problem will able us the definition of macroscopic averaged variables thus leading us to thermodynamics. Finally,
unsolved problems will be analysed introducing modern physics of great importance in electronic engineering.
A. SINGLE PARTICLE PHYSICS:
Review of one dimensional Newton’s laws expanding them to 2D and 3D. Correcting of misunderstood concepts. Invariants.
Angular speed and kinetic moment. Work and particle energy.
B. PHYSICS OF A MULTIPLE PARTICLE SYSTEM
Application of the conservativity theorems introduced above in a many particle system by using the Centre of Mass.
Discrete and continuus modelization: density definitions. Rigid solid basics.
C. PHYSICS OF A MANY PARTICLE SYSTEM
Definition of macroscopic variables from microscopio modelization. Thermodynamic postulates. Heat conduction problem.
What does kT mean?.
D. INTRODUCCTIÓN INTO MODERN PHYSICS
Basic wave properties. Differences between waves and particles. Checking the ideas and contradictions of old physics:
Introduction into modern physics.
Differential and integral calculus of one variable. Analysis of functions.
Brief list of topics:
Limits and continuity
Derivation. Taylor polynomials
Integration. Improper integrals
Numerical series and power series
Matrices and vectors. Vector spaces and linear transformations. Euclidean spaces and scalar products.
Brief list of topics:
Matrices and determinants
Linear mappings and diagonalization
In the subject Circuit Analysis, we will re-learn the knowledge of the Component and Circuits subject, and we will
add the variations of signals over time. We will analyze circuits with condensers and coils in the temporal domain,
and we will also learn to do so in what we call Laplace's transformed domain, that will allow us to find the
circuit’s dynamics by solving simple algebraic equations. We will see how circuit responses vary according to the
initial conditions, and what means forced response from a system. In fact, since we are interested in knowing how
the circuits modify the signals according to the frequencies that compose them, we will learn to perform and interpret
diagrams of Bode. All this knowledge will help us to understand how circuits work for different signals as audio,
video, radio frequency communications, etc ...
Analysis in the temporary domain. Capacitors and Inductors.
Laplace transformed Circuit. Transformation of variables, elements and interconnections. Initial conditions. Impedance and
Temporary response. Free and forced response.
Network function. Response associated with poles.
Frequent response. RPS. Amplification.
Series and Fourier transform. Continuous and discontinuous spectra. Filter concept.
Fasorial transformed circuit. Poles and zeros diagrams. Bode’sDiagrams. Filter design.
Feedback. Stabilit.y Analysis with state variables.
Power. Tellegen theorem. Impedance Adaptation.
Programming and Data Structures
The C programming language arises nowadays as a widely adopted solution for the programming of embedded systems based
on microprocessor, where code efficiency becomes paramount given their limited computational capabilities. The present
subject aims to introduce the student to this programming language, presenting its syntax, sentences and data structures,
putting special emphasis on the dynamic memory management. The ultimate goal is to prepare the student to successfully
face subsequent subjects of the degree requiring the programming of embedded systems.
Brief list of topics:
Introduction to the C programming language
Programming functions in C
Dynamic memory management
Dynamic data structures
Bitwise operations in C
The main two goals of the course are to understand the principles and fundamental laws of Electromagnetism, and to
acquiere the skills needed to solve practical problems related with these laws, either in the vacuum or in material
media. For this purpose the fundamental laws, both in integral and differential form (Maxwell equations) will be
formulated. In addition, it is intended that the student reaches the level of knowledge needed to follow successfully
higher level courses.
The course is split in three chapters.
1.- Time independent electric and magnetic fields in the vacuum.
First of all the concepts of electric field generated by static distributions of charge, electric potential, electric
energy, and electric potential energy, are introduced, for systems of either discrete or continuous charges. The
calculation of the electric field is studied by applying the superposition principle and Gauss's law. The electric
potential is calculated as the circulation of the electric field or by applying the superposition principle. The
electrostatics of conductors in equilibrium and capacitors is studied. Then the concept of electric current, mainly
focusing on the properties of ohmic conductors, is introduced.
In a second part the concept of magnetic field, and how to apply Biot-Savart's and Ampère's laws, is introduced.
The effects of the magnetic field (forces and torques) on steady currents are also studied. Finally, the magnetic
energy is defined and Gauss's law formulated.
2. - Time dependent electric and magnetic fields in the vacuum
In this chapter the generation of electric and magnetic fields due to either changes of the fluxes of the magnetic
and electric fields with time or to changes of the own fields with time are studied. To fulfill this purpose, Faraday-Lenz's
and Ampère-Maxwell's integral laws are formulated, and some applications of the electromagnetic induction phenomena
are commented. The conservation of the electromagnetic energy by introducing the Poynting vector is also studied.
Finally, Maxwell's equations are obtained by applying Gauss's and Stokes's theorems to the four fundamental
laws in integral form.
3.- Electromagnetic fields in matter.
The fundamental laws of the electromagnetic field, both in integral and differential form, are generalized for dielectric
and magnetic materials in the third chapter. The boundary conditions at interfaces are also obtained by introducing
the electric displacement, D, and magnetic, H, vectors. Microscopic models to understand physically the polarization
and magnetization phenomena are described.
The applied training of the student is complemented with some laboratory experiments.
A cyclotron is a particle accelerator. An electric field accelerates charged particles up to high energies (500 MeV), and
a tranverse magnetic field bends their path into a semi-circle. At the exit the charged particle beam is used, for
instance, in nuclear medicine to bombard atoms to produce radiactive substances employed in the diagnosis and treatment
Differential and integral calculus of several variables.
Brief list of topics:
Topology of the real space n-dimensional
Functions of several variables
Derivation and local extremes
Curves and surfaces
Line and surface integrals
Differential Equations and Transforms
Ordinary and partial derivatives differential equations. Transformation techniques (Laplace and Fourier).
Brief list of topics:
Ordinary differential equations.
Electron devices based on semiconductors revolutionized electronics more than 50 years ago and they continue to be
a fundamental part of it. Although not always we are aware of it, these devices are very common to our lives. The
theory of semiconductors is behind the design of the new devices that make us day to day easier, such as flat and/or
touch displays, optical disk readers or USB memories. In this subject, the physical fundamentals of the electrical
characteristics of these materials will be taught in order to be used in the analysis of the operation of diodes
and transistors BJT and MOS-FET. In addition, basic circuit applications of these devices will be reviewed. Finally,
the acquired knowledge will be applied to the description of mechanisms for more advanced devices (such as LED's,
lasers, floating gate transistors, etc.).
Fonaments de teoria de semiconductors
The P/N junction. The diode
Circuits with diodes
Bipolar junction transistor (BJT)
Basic circuit stages with BJT
The MOS-FET field effect transistor
Basic circuit stages with MOS-FET
Basic analysis and design of digital circuits and systems, focusing on tools such as hardware description languages
and programmable logic devices, which allow fast implementation and test of complex digital systems. CMOS technology,
which supports most of the digital market components, is also introduced.
Brief list of topics:
Technologies and methodologies for digital design.
VHDL, a hardware description language.
Analysis and design of combinational and sequential systems.
Performance: delays, power consumptions...
Lab work with programmable logic devices(FPGAs).
Applied Electromagnetism and Photonics
In this subject, the main applications of electromagnetic waves are introduced in the context of electronic engineering.
The basic concepts about the general laws of waves and electromagnetism and the propagation of waves in the media are
The syllabus also includes the propagation of light waves based on laser and optical fiber.
Dynamic solutions of Maxwell's equations: basic types of waves.
Power and electromagnetic energy.
Propagation in perfect dielectric media and in media with conductivity.
Reflection, refraction or dispersion.
Propagation in fibers, dielectric guides and conductive guide guides.
Introduction to photonics: LASER, photodetectors and electro-optical media.
Signals and Systems
In this subject, the basic tools for the analysis and treatment of signals are worked on, both in the temporal domain and
in the frequency domain. These tools are studied both from the analog and the digital point of view. The relationship
between both worlds is emphasized in such a way that it can better understand how the digital tools currently used
allow the analysis of analog signals. It is based on the mathematical knowledge of previous subjects; it allows to
give a very applied approach. Thus, examples of audio signals, or signals used in communications, among others, are
Brief list of topics:
Introduction. Analog and digital signals (also multidimensional).
Systems.Properties. Characterization of linear and invariant systems. Convolution.
Characterization of signals and systems in the frequency domain. Applications: filtering, modulation and multiplexing, windowing.
Periodicity. Analysis of time periodic signals. Sampling. Other aspects of A/D conversion: aliasing, quantization. Reconstruction/interpolation
Discrete Fourier Transform.
Probability and Stochastic Processes
Theory of probability and applications. Statistical analysis of data. Stochastic processes.
Brief list of topics:
Basic theory of probability
One-dimensional random variables
Multidimensional random variables
The measurement of the major part of physical quantities, such as sound, light or temperature, results in an analog
electrical signal. In this course, the electronic circuits to condition and process this type of signals are studied
and implemented. These circuits are based both in discrete devices and integrated circuits and their most usual applications
are also explained. In addition, the circuits ADC converting an analog signal to a digital signal, and DAC converting
in the opposite direction, are introduced.
Electrical signal amplification and amplifier integrated circuits
Fundamentals of feedback theory and stability
Analog electronic functions
Electrical signal generators
ADC and DAC conversion
Other analog circuits: switches and multiplexers, multipliers, PLL’s.
Analysis, design and programming of microprocessor based systems. Special emphasis is made on microcontrollers that
include, in one chip, microprocessor, memory and peripherals. They are the core of most devices we frequently use:
television, microwave oven, freezer, car, and so on... They all usually use microprocessors although it is not always
evident from the exterior.
Brief list of topics:
Voltage and current electrical compatibility
The memory subsystem
Laboratory sessions working on a microcontroller
Introduction to High Frequency Circuits
This subject introduces high-frequency circuits. Specifically, the structures that allow the transmission of high frequency
signals with different physical supports are explained. The calculations associated with the transmission of spherical
waves through antennas are also explained.
Transmission in waveguide and optical fiber guides.
Radiation: Spherical waves, antenna parameters in reception and transmission, transmission equation and applications.
This subject is deepened in the treatment of the signal previously introduced. Specifically, the implementation of the signal
processing in physical devices and the implementation problems that can be given are explained.
The syllabus includes advanced processing techniques such as those associated with compression and transmission of
The subject is completed with specific examples of sensor signal processing.
Processing signals and high speed devices FPGAs, DSPs, ASIC.
Digital filters. Soft and hard implementation techniques. The problem of numerical noise and stability.
Bank of filters and fundamental transformations (DFT, DCT, KL, STFA, Wavelets): Advanced audio and video compression techniques,
OFDM high-speed digital communications. Development of software models near its hardware implementation and review
of critical technological aspects.
Advanced Applications in Depth Sensors (Kinetic) and Optimized Filtering (Wiener)
Business and Project Management
This course provides a solid knowledge on the organization and operation of a business or company as well as on the institutional
and regulatory framework that affect them, while providing at the same time the basis for management based on projects,
current practice within the new ‘industry 4.0’.This knowledge will be provided within the application framework of
a practical design case, analyzing its sustainability in environment, social and economic terms. This background
shall facilitate achieving a correct performance in Entrepreneurship techniques in semester 3B.
Business and financing comprehension
Introduction to sensor principles, design and implementation of conditioning circuits and overview of the most usual
instrumentation systems for test and measuring applications. Measuring systems are necessary for quantifying physical
and chemical variables. Generally, they have a first stage where the quantities are transduced to an electrical signal
by means of sensors. Later, these signals are properly conditioned for, finally, presenting the measurement results
or using them to actuate other systems. Measuring systems are ubiquitous and they can be found both in simple implementations
such as a digital scale, an activity sensor in your smartphone, or a weather station, and in more complex measuring
systems such as a magnetic resonance imaging equipment or a gravitational waves observatory. This course stresses
the different sensing alternatives, the most suitable electronic design considering its application to have an accurate
quantification, and the instrumentation systems that allow testing and validating of the characteristics of a practical
Introduction to measuring systems, sensors and actuators
Types of sensors and conditioning circuits
Acquisition, sampling & subsampling, multiplexers and AD & DA converters
Interferences: types, disturbing sources and their reduction
Noise: origin, model and reduction techniques.
Laboratory: Measurement automation. Characterization of measuring systems using automated instrumentation systems.
Configurable Digital Systems
The course is oriented to the robust digital design of digital modules using configurable systems (FPGAs, PSoCs ...). Emphasizing
the style of synchronous design, essential techniques and design tools are introduced and applied to subsystems of
timing, signal processing and communication.
Brief list of topics:
Practical aspects of digital design. Synchronization and synchronous design. Synthesis Algorithmic design.
Design of subsystems of timing and signal synthesis. Timers PWMs. Clock signals. TDC. DDS.
Design of data processing modules. Multipliers. Dividers. ALUs.
On-Chip communication (AXI). Off-chip communications I2C and CAN protocols. LVDS.
High Frequency Circuits
In this subject, the design of high frequency circuits is explained taking into account the characteristics of the active
and passive devices. The "S" parameters that determine the behavior of active circuits at high frequency
are described and the main design tools specific to these circuits are explained.The course is completed with the
use of integrated circuit technologies and the procedures for measuring these types of circuits.
High frequency passive circuits.
High frequency devices, parameters S.
Design of high frequency circuits, design tools.
Integrated high frequency.
Measure high frequency circuits.
Materials Science and Engineering
In this subject we study the materials used in devices and electronic equipment. They explain the main physical properties
that relate to electronics and with these properties allow them to be exploited for the creation of devices.
Classification of materials: Metallic, ceramic, semiconductors, polymers, composites ...
Plastic and elastic mechanical properties. Hardness, fatigue and fracture.
Thermal properties: heat capacity, conductivity and thermal expansion.
Magnetic properties: Diamagnetism, paramagnetism, ferromagnetism ...
Materials for Electronics. Batteries.
Control systems allow a stable response to disturbances present in a system. They are, therefore, fundamental in any interaction
with physical means such as robots. This subject describes the principles associated to the control both at a classical
level in continuous time and at a digital level in discrete time.
Introduction to the control: Reference, control and disturbances. Targets. Classification: linear, nonlinear, invariant and
variant over time.
Control in continuous time in the temporary domain. Stationary errors Temporary specifications. Design of drivers through
LGA: 1st and 2nd order and PID.
Continuous control in the freestyle domain: stability and bandwidth margins. Compensations in progress and phase delay.
Control in discrete time. Bilinear transformations. Drivers. Aspects of implementation.
Internet of Things
Study of the technologies and communication protocols most used today. Development of applications and communications
services over heterogeneous networks with short and long- range interfaces, integrating electronic devices with different
types of sensors and actuators.
Brief list of topics:
Network classification, architecture and protocol hierarchies. Introduction to IoT
Short-range (Bluetooth, RFID / NFC, ...), local area networks (Ethernet, WiFi) and long-range technologies (LoRa, Sigfox,
Internet Protocols: IPv4, IPv6, UDP, TCP
Intranets, NAT and firewalls
IoT protocol architecture: 6LoWPAN, RPL, CoAP
Development of communication applications for sensing and actuating on remote equipment
Analysis, design and programming of multitasking systems that have to work in real time. That is, they have to meet
limited response times between their inputs and outputs. The programming of task-based systems, the allocation of
time between tasks, the communication mechanisms between tasks and the methods that guarantee a limited response
time will be described.
Description of systems in real time
Mechanisms of communication and synchronization between tasks
CPU allocation in tasks
Verification of compliance with temporary dimensions
Electric Power Processing
The processing of electrical energy is a fundamental branch of electronics. Today, even more so since more and more elements
use electricity as a source of energy. In this subject the fundamentals of the processing of electrical energy are
described. Also, the circuits that allow conversion of voltage with high efficiency using switch mode converters
Brief list of topics:
Electric Power Processing. Definitions Conversion chain Example of photovoltaic system. Characteristics of sources, loads
and storage systems.
Elements of power processing. Performance and power control. Elements. Rules of interconnection. DC-DC, DC-AC, AC-DC conversion
types. Basic circuits: DC-DC reducer, inverter and rectifier in bridge.
DC-DC conversion. Linear regulator Converter Converters Stationary operation Regulation.
DC-AC and AD-DC conversion ...
This subject describes the technologies used in the manufacture of electronic circuits. This includes the design and manufacture
of printed circuits and the assembly technologies of the components. In addition, the design of magnetic components
and the thermal management of electronic systems are included.
The subject is completed with concepts of operation at the system level including connectors, wiring, interference,
regulations and recommendations.
Phases from design to final product.
Design and manufacture of printed circuits.
Component assembly technologies.
Interfaces, connectors and wiring.
Regulations associated to electronic systems.
Techniques for Entrepreneurship
TThis course deepens into the topic of project management connecting it to the development of a new business model
or a start-up creation. This knowledge is the starting point for the technical part of the course System Integration
to be developed by work teams in the following semester (4A). Each student will join a team to carry out a project
clearly oriented towards product or service innovation according to proposals defined by external entities, usually
Introduction. Business models
Introduction to Business Model Canvas
Customer segmentation and relationships
Key factors: alliances, activities and resources
Project management [in seminars during the course]
Information and communication technologies, that continuously enable the creation of new products and applications,
are based on the spectacular evolution experienced by the microelectronic technology in which these systems are implemented.
This course introduce the design process of the physical layout of CMOS circuits for its fabrication in a microelectronic
technology, through both theoretical explanations and practical sessions. In addition, we study basic circuits with
MOS transistors, with emphasis on amplification stages: how are they, how are designed, which are their limitations
and how they can be evaluated. Last, the focus is placed in the circuit operation at high frequencies, in particular
the design of circuits to be used in radio-communications.
Micro- and nano-electronic technologies for integrated circuits
Layout of a CMOS integrated circuit
Basic amplification stages based on MOS transistors
Current mirrors. Active loads
Degradation of the signal quality produced by noise and non-linearity
High-frequency operation. Amplifiers for communication circuits
High Performance Digital Systems
The trend to integrate maximum functionality in a single chip has led to highly configurable systems that combine circuits
and processors. The course deals with the physical design of complex signal processing and subsystem communication
algorithms, with application to the development of intelligent systems.
Brief list of topics:
Signal processing subsystems. Precision and advanced formats, filters, converters, CORDIC, segmentation.
Communications subsystems. Implementation of interfaces, protocols, coding, modulation.
Introduction to the physical design of intelligent systems.
In this course the technical and business part of the project defined in the course Techniques for entrepreneurship
are developed. This development is carried out by teams of students under the supervision of professors as well as
people from the external entity proposing the project. The syllabus is centered on the business development:
Principles of Business analytics
Business model definition
Legislation and Regulations
The end-of- degree project consists of the preparation of a professional project in which the competences acquired
in the degree are synthesized.
It is possible to choose from a wide range of projects proposed by professors, companies or even based on the motivation
of the student.
All work is supervised by a teacher at the school.
The project, once completed, is publicly defended.
The elective subjects allow the student to choose some aspects in which to specialize their training. By default it
is 4 subjects of 6 credits each to be chosen within a broad set.
The student has the option of taking 12 of the credits doing internships within a company or a research center in
the field of electronics. In this case there will be a tutorial from a school teacher.
Some examples of elective subjects are:
Electronic Products Conformity
Remote Systems Control
Design of DSP Systems in Real Time with FPGAs
Optoelectronic Devices and 3D Vision
Introduction to Photovoltaic Solar Energy
Sensors, Actuators and Microcontrollers in Mobile Robots