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It is demonstrated that the total coherence depends merely on the factor matrix with the largest coherence coefficient for a Kronecker dictionary [39, 40].
When the dictionary possesses Kronecker structure, i.e., D=D N ⊗D N−1⊗…⊗D 1, the coherence coefficient should be μ(D = max{μ 1,μ 2,…,μ N }, with μ n =μ(D n ), n=1,2,…,N.
where (mu left (boldsymbol {D}right)=underset {ineq j}{max }left |left langle boldsymbol {d}_{i},boldsymbol {d}_{j}right rangle right |), representing the coherence coefficient of dictionary D; here, 〈d i,d j 〉 denotes the inner product of d i and d j.
The coherence coefficient is not considered.
To determine the significance of orientation modulation contained in the differential time course, a fast Fourier analysis was applied and the coherence coefficient (cc) was estimated for each voxel.
Similar(55)
Similar traces are mapped with high coherence coefficients and discontinuities, such as faults and fluvial channels, and subtle stratigraphic features have low coefficients.
Even if thermo coherence correlations coefficients to the convergence criteria are rather moderate until low, there is face validity that thermal comfort influence not only quality of life and a feeling of coherence [ 15].
This method aims to reduce the computed wavelet coherence (localized correlation coefficient in time-frequency space) values for a given channel pair over non-overlapping 5 s and frequency bands after decomposing the channels into sub-bands.
This GC test in the frequency domain relies on a modified version of the coefficient of coherence, which they estimate in a nonparametric fashion and for which they derive the distributional properties.
A new function, a weighted correlation coefficient with coherence constraints (73), was thus introduced to replace linear, nonweighted cross-correlation, and implemented in the refinement program FREALIGN (74).
The Magnitude Squared Coherence between the (internal) coefficients from the FTMM and the TDS-1 reference model for all frequencies (top) and for periods greater than two days (bottom).
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