Sökning: "Hilbert transform"
Visar resultat 1 - 5 av 11 uppsatser innehållade orden Hilbert transform.
1. Investigation of soliton equations with integral operators and their dynamics
Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)Sammanfattning : We present Lax pairs and functions called Lax functions corresponding to Calogero- Moser-Sutherland (CMS) systems. We present the Benjamin-Ono (BO) equation and a pole ansatz to the BO equation, constructed from a specific type of Lax function called a special Lax function corresponding to Rational and Trigonometric CMS systems. LÄS MER
2. Gravity water waves over constant vorticity flows: from laminar flows to touching waves
Master-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/MatematikcentrumSammanfattning : In a recent paper, Hur and Wheeler proved the existence of periodic steady water waves over an infinitely deep, two-dimensional and constant vorticity flow and subject to gravity whose profile overhangs, among which, waves whose surface touches at a point, enclosing a bubble of air. We take this further, proving the existence of a continuous curve of water waves from a laminar flow up to a touching wave for fixed non-zero gravity. LÄS MER
3. An operator theoretic approach to the Riemann Hypothesis
Master-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/MatematikcentrumSammanfattning : In 2023 an operator theoretic approach to the Prime Number Theorem was introduced by Olsen. In this thesis this approach is examined and applied to give a new, operator theoretic, proof of a different version of the Prime Number Theorem and of the Prime Number Theorem for arithmetic progressions. LÄS MER
4. Study of neural correlates of attention in mice with spectro-spatio-temporal approaches
Uppsats för yrkesexamina på avancerad nivå, KTH/Skolan för datavetenskap och kommunikation (CSC)Sammanfattning : While signatures of attention can be observed in widespread areas within and outside of cortex, the control of attention is thought to be regulated by higher cognitive brain areas, such as the prefrontal cortex. In their recent study on mice Kim et al. LÄS MER
5. Hilbert Transform : Mathematical Theory and Applications to Signal processing
Master-uppsats, Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakultetenSammanfattning : The Hilbert transform is a widely used transform in signal processing. In this thesis we explore its use for three different applications: electrocardiography, the Hilbert-Huang transform and modulation. For electrocardiography, we examine how and why the Hilbert transform can be used for QRS complex detection. LÄS MER