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It requires that the shape of the noise amplitude spectrum be approximately known.
We also demonstrate that when the shape of the noise spectrum is known exactly, the matched-phase filter can reveal signals at a signal-to-noise ratio (SNR) of less than -100 dB and increase the SNR to order 0 dB.
The more flat the PDF shape of the noise source, the more sensitive DM is to additive noise.
The model is most sensitive to the shape of the noise profile at low noise amplitudes.
Population structure and dynamics were most sensitive to the shape of the noise profile at low noise amplitudes.
While the fit can be improved further by adding a small background to the noise, we emphasize that Eq (16) correctly captures the non trivial shape of the noise curve with only two parameters.
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The temporal shape of the noise-like pulse exhibits substantial variation while evolving over round-trips showing the stochastic nature of the generation regime.
Due to sequence read sampling, the frequency distribution (1) is considered as scale-dependent and skewed functions [ 20, 32], i.e. when the sample size, M, increasing, the shapes of the noise and specific frequency distribution functions are changed correspondently with library size.
Three optimum conditions for the tuning of NMR probes are compared: the conventional tuning optimum, which is based on radio-frequency pulse efficiency, the spin noise tuning optimum based on the line shape of the spin noise signal, and the newly introduced frequency shift tuning optimum, which minimizes the frequency pushing effect on strong signals.
Additional knowledge is gained concerning the effects of the pads on both the air and flexural wave components of the acceleration noise, their effects on the contact duration, and their influence on the shape of the impact noise field.
We note that this deviation is the direct consequence of the shape of the electrical noise spectra shown in Figure 4 a, specifically caused by the 1/ f flicker noise.
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