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9 results for “Fourier Analysis”
Figure 3 in Interpopulation differences in shell forms of the pearl oyster, Pinctada imbricata radiata (Bivalvia: Pterioida), in the northern Persian Gulf inferred from principal component analysis and elliptic Fourier analysis
Figure 3. The first and second principal components scores of P. imbricata radiata from Hendourabi () and Lavan (▲) islands generated by PCA.
Figure 5 in Interpopulation differences in shell forms of the pearl oyster, Pinctada imbricata radiata (Bivalvia: Pterioida), in the northern Persian Gulf inferred from principal component analysis and elliptic Fourier analysis
Figure 5. Shape variation of EFA analysis in P. imbricata radiata from Lavan and Hendourabi islands.
Figure 4 in Interpopulation differences in shell forms of the pearl oyster, Pinctada imbricata radiata (Bivalvia: Pterioida), in the northern Persian Gulf inferred from principal component analysis and elliptic Fourier analysis
Figure 4. The first and second principal components scores of P. imbricata radiata from Hendourabi () and Lavan (▲) islands calculated by PCA performed on the normalized EFDs.
Figure 2 in Interpopulation differences in shell forms of the pearl oyster, Pinctada imbricata radiata (Bivalvia: Pterioida), in the northern Persian Gulf inferred from principal component analysis and elliptic Fourier analysis
Figure 2. Morphological measurements of the shell in P. imbricata radiata that were used in PCA.
Theoretical analysis and simulations of two-dimensional Fourier transform spectroscopy performed on exciton-polaritons of a quantum-well microcavity system
<p>Dataset of the publication “Theoretical analysis and simulations of two-dimensional Fourier transform spectroscopy performed on exciton-polaritons of a quantum-well microcavity system“, H. Rose, J. Paul, J. K. Wahlstrand, A. Bristow, and T. Meier, Proceedings of the SPIE 11684, 1168414 (2021) ( <a href="https://doi.org/10.1117/12.2576696">https://doi.org/10.1117/12.2576696</a> ). The zip file includes the data on which the plots shown in figure 2 are based.</p>
Data from: Novel Fourier quadrature transforms and analytic signal representations for nonlinear and non-stationary time series analysis
The Hilbert transform (HT) and associated Gabor analytic signal (GAS) representation are well-known and widely used mathematical formulations for modeling and analysis of signals in various applications. In this study, like the HT, to obtain quadrature component of a signal, we propose novel discrete Fourier cosine quadrature transforms (FCQTs) and discrete Fourier sine quadrature transforms (FSQTs), designated as Fourier quadrature transforms (FQTs). Using these FQTs, we propose sixteen Fourier quadrature analytic signal (FQAS) representations with following properties: (1) real part of eight FQAS representations is the original signal and imaginary part of each representation is FCQT of real part, (2) imaginary part of eight FQAS representations is the original signal and real part of each representation is FSQT of imaginary part, (3) like the GAS, Fourier spectrum of the all FQAS representations has only positive frequencies, however unlike the GAS, real and imaginary parts of FQAS representations are not orthogonal. The Fourier decomposition method (FDM) is an adaptive data analysis approach to decompose a signal into a set Fourier intrinsic band functions. This study also proposes new formulations of the FDM using discrete cosine transform with GAS and FQAS representations, and demonstrate its efficacy for improved time-frequency-energy representation and analysis of many real-life nonlinear and non-stationary signals.
Data from: Novel Fourier quadrature transforms and analytic signal representations for nonlinear and non-stationary time series analysis
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Figure 1 in Interpopulation differences in shell forms of the pearl oyster, Pinctada imbricata radiata (Bivalvia: Pterioida), in the northern Persian Gulf inferred from principal component analysis and elliptic Fourier analysis
Figure 1. Map of the study area showing the fishing grounds.
Non-invasive Measurement of Retinal Blood Flow Based on Vessel Analysis and Fourier Domain Optical Coherence Tomography in Patients With Hypertensive Retinopathy
ClinicalTrials.gov study NCT01753648. IPD Sharing: Not stated. Countries: 1. Publications: 0.
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