Degree in Health Engineering La Salle Campus Barcelona

Bachelor in Health Engineering

Lead the technological advances that will define the medicine of the future.

Signals and systems analysis

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Description
The Signal and Systems Analysis subject represents, for the student, an introduction to the methods of processing analog and digital information in one dimension, contextualized in the acquisition and processing of signals from the human body. The objective of the subject is to provide an introductory and fundamental view of the mathematical tools that allow the analysis of analog and digital signals, the conversion from the analog world to the digital, and the modeling and representation of signal processing systems, whether in their digital or analog version. Thus, the student will be able to learn how to process analog and digital signals using linear and time-invariant systems, and the processing is shown using techniques in the time domain and the frequency domain, both at an analytical and numerical level. It also offers a view of the Z transform, another very useful tool when designing filters and analyzing the behavior of digital systems. Finally, a brief introduction is given to the main methods for the design of different filters used in the processing of linear and time-invariant systems. Despite being a subject with a strong mathematical component, the concepts studied have clear real and practical application in the field of Health Engineering. To make this clear, from a practical point of view, some of the concepts studied will be applied to the processing of biomedical signals acquired with a BIOPAC system.
Type Subject
Tercer - Obligatoria
Semester
First
Course
2
Credits
6.00

Titular Professors

Xavier Sevillano Domínguez
Professor
Previous Knowledge

Single variable integral and differential calculus.

Objectives

Students acquire the knowledge and develop the skills indicated below:

1. They know the basic signals from biological systems
2. They acquire quality biomedical signals
3. They understand the basic principles of biomedical signal processing
4. They acquire general knowledge of signal processing and transmission

Contents

Unit 1: Introduction to signals
Unit 2: Introduction to systems
Unit 3: Convolution and correlation
Unit 4: Fourier transform
Unit 5: Z transform and filter design

Methodology

The subject is taught in 5 weekly teaching sessions of 50 minutes each.

The usual dynamics of each class will consist of a combination of theoretical explanations always followed by the performance of exercises that exemplify what has just been explained. Applied methodologies: lecture, recorded class, problem class and exercises.

Finally, and with the aim of achieving an applied vision of the concepts presented in class, practical sessions will be held using the BIOPAC signal acquisition systems and the Matlab software. Applied methodology: laboratory practices.

Evaluation

The assessment elements of the subject are:
- exams: control point, final (ordinary and extraordinary calls)
- continuous assessment exercises carried out in class
- laboratory sessions

Evaluation Criteria

In order to pass the subject, a final grade of five or higher is required (ordinary or retake). Otherwise, the subject will be failed.

The final grade for the subject is obtained from the exam grade and the continuous assessment grade.

Each of these grades is calculated as follows:

1) Exam grade: is calculated from the midterm exam grade and the final exam grade:

1.1) If the midterm exam has a grade greater than or equal to 5:

1.1.1) Exam grade = 50% midterm grade + 50% final exam grade (provided that the final exam grade is equal or higher than 3.5; if it is not, this part of the course is failed and pending recovery)
1.1.2) The contents evaluated at the midterm exam is released until the end of the course. Therefore, the final exam covers the syllabus seen from the midterm exam to the end of the course
1.2) If the midterm exam has a grade <5:
1.2.1) Exam grade = 100% Final exam grade
1.2.2) The final exam covers the entire syllabus of the subject

2) Continuous assessment grade: it is the arithmetic average of the grades of the continuous assessment exercises carried out throughout the course.

3) The evaluation of the contents worked on in the practical laboratory sessions will be carried out individually through questions in the midterm and final exams. As a guide, these questions will represent between 15% and 25% of the total grade of the corresponding exam.

The final grade for the subject will be calculated based on the exam grade and the continuous assessment grade, weighting the exam grade by 80% and the continuous assessment grade by 20%, provided that the exam grade is equal to or greater than 4 points. If, after applying the weighting, the final grade is lower than the exam grade, the final grade will be equal to the exam grade. If the exam grade is < 4 points, the final grade will be directly the exam grade. This procedure will be applied equally to both the ordinary and retake exams.

Basic Bibliography

- K. Najarian, R. Splinter, Biomedical signal and image processing, CRC Press
- T.K. Rawat, Signals and systems, Oxford University Press
- A.V. Oppenheim, A.S. Willsky, Señales y sistemas, Prentice Hall
- A.V. Oppehheim, R.W Schafer, Discrete-time signal processing, Prentice Hall

Additional Material

The essential documentation for following the subject is the material that the teachers will make available to the students through eStudy:
- Class slides
- Recorded classes
- Collection of solved problems
- Practice documentation