Eigenfunction construction for the Koopman operator: Application of subspace methods and the construction of derived bilinear models

<br/>We expand on the framework by Korda and Mezic (2020) to construct eigenfunctions directly from data by exploiting the eigenfunction PDE, guaranteeing closure and eliminating the need for a prior data dictionary. <br/>The constructed models are extended to forced systems through the multi-step prediction error of a linear state-space model....

Array Processing in Atrial Fibrillation: Application of different signal models and LAT estimation techniques

Atrial fibrillation (AF) is the most commonly occurring arrhythmia in clinical practice and can have a significant impact on the current and future wellbeing of the patient. By placing an unipolar sensor array directly on the epicardium during an open-heart surgery to measure the electrical activity of the atrium, more insight about this disease...

Spectral estimation for Hamiltonians: A comparison between classical imaginary-time evolution and quantum real-time evolution

We consider the task of spectral estimation of local quantum Hamiltonians. The spectral estimation is performed by estimating the oscillation frequencies or decay rates of signals representing the time evolution of states. We present a classical Monte Carlo (MC) scheme which efficiently estimates an imaginary-time, decaying signal for...

A Comparison of Angle-of-Arrival algorithms for space based geolocation

Geolocation of Radio Frequency (RF) emitters, is finding the geographical location of said emitter. This thesis explores the concepts of geolocation, specifically, Space-Based geolocation of earth-surface emitters by means of measuring the Angle-of-Arrival using a Uniform-Rectangular Antenna Array. Initially the literature is explored, the...