Bonn 2025 – wissenschaftliches Programm
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AKjDPG: Arbeitskreis junge DPG
AKjDPG 6: Hacky Hour (joint session AGI/AKjDPG)
AKjDPG 6.1: Vortrag
Mittwoch, 12. März 2025, 11:00–11:45, HS ROT
DFT Tone-extraction made easy: A toolbox to extract all important parameters from a Fourier-Transformed Time-Series — •Timon Damböck and Ilja Gerhardt — light and matter group, Institute for Solid State Physics, Leibniz University of Hannover, Appelstrasse 2, 30167 Hannover
When measuring with a quantum sensor, e.g. a magnetometer, the sensing information is contained in a time–series. The parameters of this ’tone’–response from the sensor is limited to the response of it in the measurement bandwidth. While those parameters can be obtained via a fit in the time–domain, this extraction is both slow and prone to systematical errors due to mis– or overestimation of those parameter. To circumvent this, a Discrete–Fourier–Transform (DFT) is used for the extraction of the parameters. It reveals the amplitude and the noise content in a specific bandwidth – if done correctly. Although conventional fitting methods can be used to reconstruct the amplitude and frequency below their internal resolution in the frequency domain, the use of wrong response functions in frequency space can lead to biases when comparing results with others. To overcome all this, we implemented a toolbox, which relies on estimating the parameters solely from the transformation into frequency domain – without the need for fitting. Hereby we aim to reduce the influence of systematical errors, while being fast and resource–efficient enough to assure real–time extraction and tracking of parameters in the lab.
Keywords: Sensing; Magnetometers; Tone-extraction; Fourier-Transform