Guia docente 2012_13
E. S. de Ingeniería Informática
Máster Universitario en Sistemas Software Intelixentes e Adaptables
 Subjects
  Transformadas
   Contents
Topic Sub-topic
Part I: Introduction and Motivation 1.1 Problems involving transforms in artificial intelligence.
1.2 Motivation for using Fourier and Wavelet transforms
1.3 Programming tools: Matlab/Octave
Part II: Mathematics of Vector Spaces 2.1 Mathematical foundations of abstract vector spaces,
2.2 Theory of functions,
2.3 Hilbert spaces and the theory of orthogonality and biortogonalidad;
2.4 Temporal signal processing
Part III: Fourier Analysis 3.1 The theory and application of the Fourier transform
3.2 Analytical Solutions;
3.3 Numerical solutions with FFT
3.4 SFFT and Filters
Part IV: Wavelet Analysis 4.1 Wavelets-scale space.
4.2 Multiresolution Analysis
4.3 Separable multiresolution. Wavelets in two dimensions.
4.4 Applications of Wavelets to image processing.
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