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Figure 4
Flow diagram of the modified Papoulis–Gerchberg reconstruction algorithm. The input data consist of the incomplete signal, together with the information regarding the gap position as a mask (G), the cut-off frequency [k_{\rm c}] and the stop criterion as an ε value, which is used as a threshold to compare changes in two successive steps. The gap is filled with the AR model (1) and the lower envelope is estimated (2). The modified Papoulis–Gerchberg iterative procedure is then performed (3–5) while the difference between two successive reconstructed signals is above the threshold ε (6). The obtained signal is taken as the reconstructed result when the threshold is reached.

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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