Search for dissertations about: "Niklas Grip"

Found 2 swedish dissertations containing the words Niklas Grip.

  1. 1. Hilbert space frames and bases a comparison of Gabor and wavelet frames and applications to multicarrier digital communications

    University dissertation from Luleå : Luleå tekniska universitet

    Author : Niklas Grip; [2000]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    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. 2. Wavelet and gabor frames and bases approximation, sampling and applications

    University dissertation from Luleå : Luleå tekniska universitet

    Author : Niklas Grip; [2002]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    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