Advanced search
Found 2 swedish dissertations matching the above criteria.
-
1. Hilbert space frames and bases : a comparison of Gabor and wavelet frames and applications to multicarrier digital communications
Abstract : Several signal processing applications today are based on the use of different transforms. The signals under consideration are written as a linear combination (or series) of some predefined set of functions. Traditionally, orthogonal bases have been used for this purpose, for example, in the discrete Fourier transform. READ MORE
-
2. Wavelet and gabor frames and bases : approximation, sampling and applications
Abstract : This thesis is devoted to both theoretical and practical aspects of applied mathematics. It consists of three main parts: Part I consists of an application-oriented introduction to the theory of frames and bases for separable Hilbert spaces, as well as an introduction to the main tools used in the remaining Chapters: Time-frequency analysis, Gabor frames and wavelet frames. READ MORE