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The study of the microstructure was realized by transmission electron microscopy, high-resolution technique transmission electron microscopy (HR-TEM), and Fourier processing using the software Digital Micrograph for the determination of the crystalline structure of the HR-TEM images of the nanocrystals; chemical composition was determined using the energy-dispersive X-ray spectroscopy.
After temporal Fourier processing (described below), outputs for all five products were mosaicked and georeferenced (parameters in Table S1).
FMLR can be used to analyze any NMR experiment in which the frequency domain response can be adequately modeled by Fourier processing of an analytical time-domain model.
The method involves construction of a "Data Ensemble" consisting of three distinct spectra: Data spectrum: The data spectrum is calculated from conventional Fourier processing of the acquired FID.
A simplified approach, omitting Fourier processing, was presented by Ascione et al. [ 78] who measured the absolute time duration that basal septal and lateral wall were out of phase (one shortened and the other stretched).
FMLR constructs the simplest time-domain model (e.g., the model with the fewest number of signals and parameters) whose frequency spectrum matches the visible regions of the spectrum obtained from identical Fourier processing of the acquired data.
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Power spectra of HRV were calculated from 1024 points (204.8 s) of the interpolated interval sequences using fast Fourier transformation processing.
After analyzing the relationship between the general echo model in frequency domain and the existing model in time domain, a compressive sensing (CS) matrix is constructed from random partial Fourier matrices for processing the range CS SAR imaging.
Next, following a Fourier transform processing, only few spectral parameters are stored.
For most real-life analytes with limited signal decay over acquisition time, the method achieves a 2-fold increase of resolving power relative to the traditional Fourier transform processing method.
The resulting volume was limited to 4 nm resolution, which was determined from gold standard Fourier Shell Correlation FSCC) processing using the FSC = 0.143 offset.
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