Figure 5 | Scientific Reports

Figure 5

From: Real-time estimation of phase and amplitude with application to neural data

Figure 5

Resonance curves for amplitude (left) and phase shift (right) for the linear oscillator with frequency \(\omega =5\). Blue and red curves correspond to the weakly (\(\alpha =0.2\)) and strongly (\(\alpha =6\)) damped oscillator, used for the phase and amplitude measurement, respectively (these parameters were used to process the artificial data). The domains where \(b/a\approx \text {const}\) (for the red curve) and \(\beta \approx 0\) (for the blue curve) are marked by red and blue arrows, respectively. These are intervals of signal frequency \(\nu \) where the algorithm’s performance is good. We see that \(\omega \approx 5\nu \) is a reasonable choice.

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