TY  - JOUR
AU  - Jochum, J. K.
AU  - Spitz, L.
AU  - Franz, C.
AU  - Wendl, A.
AU  - Leiner, J. C.
AU  - Pfleiderer, C.
AU  - Soltwedel, O.
TI  - Optimized signal deduction procedure for the MIEZE spectroscopy technique
JO  - Journal of applied crystallography
VL  - 55
IS  - 1
SN  - 0021-8898
CY  - [S.l.]
PB  - Wiley-Blackwell
M1  - FZJ-2022-02191
SP  - 14 - 20
PY  - 2022
AB  - A method is reported to determine the phase and amplitude of sinusoidally modulated event rates, binned into four bins per oscillation, based on data generated at the resonant neutron spin-echo spectrometer RESEDA at FRM-II. The presented algorithm relies on a reconstruction of the unknown parameters. It omits a calculation-intensive fitting procedure and avoids contrast reduction due to averaging effects. It allows the current data acquisition bottleneck at RESEDA to be relaxed by a factor of four and thus increases the potential time resolution of the detector by the same factor. The approach is explained in detail and compared with the established fitting procedures of time series having four and 16 time bins per oscillation. In addition the empirical estimates of the errors of the three methods are presented and compared with each other. The reconstruction is shown to be unbiased, asymptotic and efficient for estimating the phase. Reconstructing the contrast increases the error bars by roughly 10% as compared with fitting 16 time-binned oscillations. Finally, the paper gives heuristic, analytical equations to estimate the error for phase and contrast as a function of their initial values and counting statistics.
LB  - PUB:(DE-HGF)16
C6  - 35145354
UR  - <Go to ISI:>//WOS:000749998900002
DO  - DOI:10.1107/S1600576721011936
UR  - https://juser.fz-juelich.de/record/907749
ER  -