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Figure 3
Iterative process. Starting from the AR-filled signal, the modified Papoulis–Gerchberg algorithm is applied. The algorithm is iterative in nature, and it can be seen that, as more iterations are performed, the reconstructed signal is approached. After cutting the spectrum in the signal's Fourier transform, the known experimental points are reimposed in the inverse transform data, and the next step starts. The iteration can be stopped when two successive steps do not significantly change the reconstructed signal. The reconstructed signal can be seen in the figure after 10, 50, 100, 500 and 1000 iterations. No significant changes were perceived after 1000 steps.

Journal logoJOURNAL OF
APPLIED
CRYSTALLOGRAPHY
ISSN: 1600-5767
Volume 58| Part 6| December 2025| Pages 2090-2104
https://doi.org/10.1107/S1600576725010003
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