### MA6003 THEORY OF WAVELETS

#### Course Details

Review of Fourier series, Fourier transform of square-integrable functions, Orthonormal bases generated by a single function: the Balian-Low theorem, The Gabor transform, Short-time Fourier transform and the Uncertainty Principle, The integral wavelet transform, Dyadic wavelets and inversions, Frames, Wavelet Series, Multiresolution analysis, Construction of wavelets from a multiresolution analysis, The construction of compactly supported wavelets, Applications of wavelets to signal processing.

#### Course References:

Books:

1. C.K. Chui , An introduction to wavelets, Academic Press.

2. I. Daubechis , Ten Lectures on wavelets, SIAM.

3. S. Mallat, A wavelet tour of signal processing, Elsevier.