3- Intended Learning Outcome :-
a- Knowledge and Understanding :-
Students who complete the course will have the ability to :-
a1- Understand the differenc between Fourier Analysis and Wavelets.
a2- Understand and implement Fast Fourier Transform.
a3- Understand scaling functions, wavelets and filters.
a4- Understand multiresolution analysis.
a5- Understand principles of wavelet design.
b. Intellectual Skills :-
Students who complete the course will have the ability to :-
b1- Apply wavelets to real problems.
b2- Compute function decomposition and reconstruction.
b3- Compute orthogonal projections.
b4- Compute Fourier series and transforms.
c-Professional Skills :-
Knowledge of the concepts and material presented in this course will provide the students with practical know-how to :-
c1- describe mathematical ideas of harmonic analysis in computational theory of wavelets and signal processing.
c2- explain the idea of filter banks and their relation with sampling processes of signals.
c3- carry out multi-resolution analysis to aid wavelet construction.
c4- explain the concepts of orthogonal bases and compactly supported distributions in wavelet theory.
c5- perform the cascade algorithm in constructing wavelets from the two-scale equation.
d-General Skills :-
Knowledge of the concepts and material presented in this course will provide the students with the capability to :-
d1- Write clear & concise records.
d2- Read critically and write fluently for a range of audiences.
d3- Participate effectively in group discussion or debate.
d4- Present clearly & effectively a scientific topic.
d5- Give accurate & clear oral summaries.