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Elaborazione di Dati e Segnali Biomedici
Biomedical Signal and Data Processing
Laura Burattini

Seat Ingegneria
A.A. 2015/2016
Credits 9
Hours 72
Period I
Language ENG

Prerequisites
None

Learning outcomes
Know and understand the main theoretical and practical tools for data acquisition and numerical processing of data and one-dimensional biomedical signals. Case studies will cover the development of the electrocardiographic signal (ECG) and electromyogram (EMG).

Program
Monodimensional digital signals. Z transform and its properties. Input-output relationships: transfer functions and difference equations. Sampling of continuous-time signals. Nyquist's theorem. Discrete-time Fourier transform and its properties. Discrete Fourier transform and its properties. FFT algorithm. Definition of FIR and IIR filters, and relative design techniques. Stochastic variables and their properties. Probability density functions. Joint and conditional probability density. Estimators definitions. Stationarity, correlation, cross-correlation and covariance functions. Spectral characteristics of stochastic processes. Power spectrum density. Noise definition. Optimum linear systems. Minimization of the signal to noise ratio. Applications to biomedical signals (ECG,EMG).

Development of the examination
LEARNING EVALUATION METHODS
The assessment of student learning level consists of two parts: I) a written test, which is compulsory, lasting three hours, during which the students have to solve 4 exercises, write a small program in Matlab, and answer two theoretical questions related to scientific articles. II) an optional oral examination, consisting in the discussion of 2 or 3 topics covered in the course, which can be accessed only if the written test is taken at least 18. The optional oral test must be supported in the same appeal of the written test.

LEARNING EVALUATION CRITERIA
In order to pass the written exam, the student must demonstrate that they have acquired a knowledge of the theoretical principles of the subject and learned how to use them in solving practical problems solvable by hand (exercises) or through the use of the computer (programs). The written test will be considered to be positive if and only if the exercise on the filter design and Matlab program will be both carried out (at least partially). The practical part of the exam (and exercise program) will have an independent evaluation from 0 to 30. Only if you reach 18 the theoretical questions will be corrected, the discussion of which the student must demonstrate themselves to be able to read and understand scientific papers relating to the matter. The theoretical answers as a whole will have an independent assessment, from -3 to +3. This assessment will be added (with sign) the evaluation of the practical part.

LEARNING MEASUREMENT CRITERIA
Attribution of the final mark out of thirty

FINAL MARK ALLOCATION CRITERIA
The final grade will coincide with that of the written test in case the student chooses not to take the oral exam, or making an average of the oral and written grades.. The honors will be given to students who, having passed highest rating (30/30) have demonstrated full mastery of the subject.

Recommended reading
1)Jackson LB. ”Digital filters and signal processing”, Kluwer Academic Publishers, Boston, 1993. 2) Oppenheim A, Schafer R. ”Discrete-Time signal processing”, Prentice Hall, Englewood Cliffs, NJ, 1989. 3) Peebles PZ. ”Probability, random variables, and r

Courses

• Ingegneria Elettronica (Corso di Laurea Magistrale (DM 270/04))