At the end of this course, the students; 1) Learn z-transform, Laplace transform and Fourier analysis issues. 2) Learn digital filter design. 3) Learn power spectral estimation methods. 4) Applying course units in homeworks on MATLAB or similar programs.
MODE OF DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
No
COURSE DEFINITION
Reminder of the basic concepts in signals and systems analysis and teaching the advanced topic. To consolidate the theoretical knowledge with practice in biomedical engineering.
COURSE CONTENTS
WEEK
TOPICS
1st Week
Fourier transform-continuous and discrete time, Discrete Fourier Transform
2nd Week
Sampling theorem, analysis of linear time invariant systems.
3rd Week
z- transform and Laplace transform: poles and zeros, stability and causality.
Random processes: Auto- and cross-correlation functions, Power density spectra, Energy spectra.
7th Week
Digital filter design: FIR and IIR filters designs.
8th Week
Digital filter design: FIR and IIR filters designs.
9th Week
Linear prediction :and Optimum Linear Filters : Forward and backward linear prediction, properties of linear prediction-error filter.
10th Week
Linear prediction :and Optimum Linear Filters : Forward and backward linear prediction, properties of linear prediction-error filter.
11th Week
Power Spectrum Estimation Methods: parametric and non-parametric methods.
12th Week
Power Spectrum Estimation Methods: parametric and non-parametric methods.
13th Week
Applications in biomedical signals.
14th Week
Applications in biomedical signals.
RECOMENDED OR REQUIRED READING
Digital Signal Processing, Principles, Algorithms and Applications, 4th Ed. J.G.Proakis, D.G. Manolakis. Pearson Education, Prentice Hall. Biomedical Signal Analysis: A Case Study Approach by Rangaraj M. Rangayyan, Wiley Interscience, 2001.