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The variance of the phase noise equals.
Recently, statistical properties including the bias and variance of the phase estimators such as Fourier, Hilbert, and wavelet-based techniques have been discussed in [29].
The term Δ φ 1[ i] indicates the variance of the phase change, which is associated with the variation of the velocity of the target.
It was proved that the dynamic pressure demodulation is correlated with the average pressure, and the parametric excitement phenomenon will not lead to the variance of the phase difference between the input pressure and the frequency output.
The optimal shift is achieved when the variance of the phase difference between two OCT signals is minimal.
In addition, the variance of the phase angle was smaller in the mutant mice (wild-type, 1504; heterozygote, 5299; and mutant mice, 680).
Similar(51)
For small error conditions such that c ̂ is sufficiently close to c, we follow Appendix 1 (see [9] for the first-order perturbation analysis) to compute the variance of the phase-difference estimate.
Volume fraction is found from the shift in phase of waves of fixed frequency traversing a path of fixed length through the dispersion and drop size is deduced from the variance of this phase shift.
To make the variance of phases of CE-OFDM signals ( {sigma}_{varphi}^2={left(2pi hright)}^2 ), C norm should be set as ( sqrt{2/left(N{sigma}_{PAM}^2right)} ), where ( {sigma}_{PAM}^2=left {M}^2-1right)/3 ) is the variance of the independent and identically distributed M-PAM symbols.
The variance of the differential phase errors of all the simulated targets is 0.0919°.
From (33), it follows that the variance of the Wiener phase noise increases linearly with the time index, which indicates that the process is nonstationary.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com