Reconstructing Signals from Astronomical Observations
A.A. Bacha (TU Delft - Electrical Engineering, Mathematics and Computer Science)
E. van den Burg (TU Delft - Electrical Engineering, Mathematics and Computer Science)
S.A. Brackenhoff – Mentor (TU Delft - Electrical Engineering, Mathematics and Computer Science)
A. Endo – Mentor (TU Delft - Electrical Engineering, Mathematics and Computer Science)
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Abstract
This thesis addresses the challenge of astronomical signal recovery by developing and testing a reconstruction algorithm for the signals emitted by Dusty Star-Forming Galaxies using simulated data from the spectrometer DESHIMA 2.0. To achieve this, first, a noise estimation was constructed in the frequency domain using Weighted Least Squares. Then, a reconstruction method in the time domain using a Generalized Least Squares framework was developed. For the reconstruction, two different modes are evaluated: (1) Continuously Staring and (2) Position Switching.
Furthermore, an analysis of the noise model and performance of the reconstruction algorithm is done. For the noise model, the estimated values are compared to the actual values that were simulated. Here, it is demonstrated that a good estimation was made.
Of the algorithm itself, first the noise levels present are analysed. Furthermore, the reconstruction algorithm was evaluated across varying percentages of input data, both of which resulted in favourable results for position switching mode. It was found that the system performed well; even when utilizing only 4% of the dataset (representing ∼2 minutes of data), the signal could be reconstructed with an RMSE of 0.0016 K, for a galaxy with continuum emission ranging between ∼0.001 and 0.01 K.