Universitat Internacional de Catalunya - Barcelona

Signals and Systems Theory

• code 12489
• course 2
• term Semester 2
• type OB
• credits 6

Module: TECHNOLOGY TRAINING

Matter: TECHNOLOGY

Main language of instruction: Spanish

Other languages of instruction: Catalan, English

Head instructor

Lc. Ruben MILLAN - rmillan@uic.es

The course of Signal Theory is focused on signals and systems both analog and discrete in the domain of time and frequency. This subject defines elemental signals as functions of a temporary variable, it deals with the characterization and properties of the systems that process them, with particular emphasis on linear and invariant systems. The Fourier Transform, studies the characterization of signals and systems in the domain of frequency. The Fourier transform and its fundamental properties are studied. The concept of filter is introduced and the sampling of analog signals is also treated. In the section of the filters, the four classic analog filter design techniques are presented, starting with the case of pass-low filters and then generating the pass-high filters, bandpass and band-stop filters. The design of a filter is done at the level of transfer function, without entering into the technological implementation of the filter.

Algebra, calculus, the basics and elecronics systems

The specific objectives are that the student:

* Know and understand how to classify the signals according to their nature

* Have the ability to manipulate the signals by means of filters in a discrete time

* Understand the relationships of the temporal and frequency domain, and be able to extract relevant information from the biomedical signals in both domains.

* Design simple filters and apply the basic techniques for the reduction of devices present in biomedical signals and for the detection of biological events of interest

• CB2 - Students must know how to apply their knowledge to their work or vocation in a professional way and have the competences that are demonstrated through the creation and defence of arguments and the resolution of problems within their field of study.
• CB4 - Students can transmit information, ideas, problems and solutions to specialist and non-specialist audiences.
• CE1 - To solve the maths problems that arise in the field of Bioengineering. The ability to apply knowledge of geometry, calculate integrals, use numerical methods and achieve optimisation.
• CE12 - To undertake a professional project in the field of Bioengineering-specific technologies in which knowledge acquired through teaching is synthesised and incorporated.
• CE15 - The ability to undertake a project through the use of data sources, the application of methodologies, research techniques and tools specific to Bioengineering, give a presentation and publicly defend it to a specialist audience in a way that demonstrates the acquisition of the competences and knowledge that are specific to this degree programme.
• CE16 - To apply specific Bioengineering terminology both verbally and in writing in a foreign language.
• CE17 - To be able to identify the engineering concepts that can be applied in the fields of biology and health.
• CG4 - To resolve problems based on initiative, be good at decision-making, creativity, critical reasoning and communication, as well as the transmission of knowledge, skills and prowess in the field of Bioengineering
• CT3 - To know how to communicate learning results to other people both verbally and in writing, and well as thought processes and decision-making; to participate in debates in each particular specialist areas.

Students at the end of the course may:

• Understand basic signals from biological systems
• Understand the basic principles of signal processing
• Perform basic operations with the signals
• To be able to operate easily with them through tools such as the Fourier Transform

Lesson 1: Introduction

Signals, systems and signal processing
Classification of the signals
Concept of frequency (continuous time and discrete time)
Examples of biomedical signals

Lesson 2: Signals and Systems in the temporary domain

Continuous and discreet signals.
Transformations of the independent variable.
Exponential and sinodal signals.
Unit impulsion function and unitary step.
Continuous and discrete systems. Basic properties of systems. Linear systems invariant in time (LTI). Convolution.

Lesson 3: Signals and Systems in the freqüencial domain. Fourier transform

Frequency analysis of continuous time signals (TF) (periodic and periodic)
Frequency Analysis of Discrete Time Signals (DTFT) (Periodicals and Periodicals)
Properties of the Fourier Transform of discrete time signals
Discrete Fourier Transform (DFT)
Frequency analysis of signals using the DFT. temporary windows

Lesson 4: Sampling

Continuous sampling theorem.
Reconstruction of a signal. Effects of submostreig.
Sampling of discreet signals.
Interpolation and decimation.

Lesson 5: Introduction to filtering. transformed Z

Transformed Z.
Filter design. Template of specifications Design tools
Line phase filters (FIR, IIR)
Causal and stable filters
 

Lesson 6: Issues and examples of biomedical signal processing

Noise reduction and elimination of artefacts.
Detection of events of interest in biomedical signals

- Theoretical classes
- Computer practices
- Final course assignment

1st evaluation:

NF = 0,2*practical work + 0,2*Final Work + max(0.2*Partial Exam + 0.4*Final Examl ;  0.6*Final Exam) 

2d evaluation:

NF= 0,2*practical work + 0.2*Final Work+ 0,6*  Final Exam

Important considerations:

1. Plagiarism, copying or any other action that may be considered cheating will be zero in that evaluation section. Besides, plagiarism during exams will mean the immediate failing of the whole subject.
2. Changes of the calendar, exam dates or the evaluation system will not be accepted.
3. Exchange students (Erasmus and others) or repeaters will be subjected to the same conditions as the rest of the students.

Basic

Proakis, John G ; Manolakis, Dimitris G. Tratamiento digital de señales. 4ª ed. Madrid: Prentice-Hall, 2007. ISBN 9788483223475.

Bruce, Eugene N. Biomedical signal processing and signal modeling. New York: John Wiley & Sons, 2001. ISBN 0471345407.

Alan V. Oppenheim / Alan S. Willsky. Señales y Sistemas. PRENTICE HALL. 2da Edición. 1997

M. J. Roberts. Señales y Sistemas. MC-GRAW HILL. 1ra. Edición. 2004

Haykin Van Been – Señales y Sistemas. EDITIORIAL LIMOSA. 1ra. Edición. 2001

Murray R.Spegel, John Liu, Lorenzo Abellana. Fórmulas y tablas de Matemática aplicada. Shaum 4ª Edición 

Complementary:

Sörnmo, Leif ; Laguna, Pablo. Bioelectrical signal processing in cardiac and neurological applications [en línea]. Burlington: Elsevier Academic Press, cop. 2005 [Consulta: 10/09/2014]. Disponible a: ISBN 0124375529.

Bronzino, Joseph D. The Biomedical Engineering Handbook. Section VI. 3rd ed. Boca Raton: CRC Press, 2006. ISBN 0849321220.

Momoh, James A. Electric power system applications of optimization. 2nd ed. Boca Raton, FL, [etc.]: CRC Press, cop. 2009. ISBN 9781439870334.

Kyndiah, A., Leonardi, F., Tarantino, C., Cramer, T., Millan-Solsona, R., Garreta, E., Montserrat, N., Mas-Torrent, M., Gomila, G., (2019). Bioelectronic recordings of cardiomyocytes with accumulation mode electrolyte gated organic field effect transistors Biosensors and Bioelectronics Available online 

Other resources:

Base de datos de artículos de revistas y congresos científicos de la Editorial Elsevier

www.sciencedirect.com

Base de datos de artículos y revistas científicas en el campo de la Ingeniería Biomédica y la Medicina: www.pubmed.com

Base de datos de artículos de revistas y congresos científicos de la Sociedad IEEE: http://ieeexplore.ieee.org/

E: exam date | R: revision date | 1: first session | 2: second session:

• E1 20/05/2020 10:00h
• E2 17/06/2020 08:00h