Integral Transforms and Spectral Analysis

The lectures give us the general insight into the theory of integral transforms in terms of functional analysis. They contain orthogonal systems of functions, Fourier series, Fourier, Window Fourier and Wavelet transforms in continuous and discrete form, and Z-transform as the special case of discrete Laplace transform. Importance is focused to the applications of their usage for the signal processing, especially time-frequency analysis, compression and their denoising. The cources are extended by exercises and Matlab's examples of efficient algorithms implementations.