EPISODE · Jan 10, 2025 · 1 MIN
Wave Lab
from Amy_ciN · host Amy_ciN
\displaystyle M_{\mathrm{heal}}(t), for t in [0, T] with T\approx 10 s. \[ \begin{aligned} M_{\mathrm{heal}}(t) &= E(t)\,\Bigl[ M_{\mathrm{sub}}(t) \;+\; M_{\mathrm{mid}}(t) \;+\; N_{\mathrm{lfo}}(t) \Bigr], \\[6pt] M_{\mathrm{sub}}(t) &= A_{\mathrm{sub}}\;\cos\bigl(2\pi f_{\mathrm{sub}}\,t + \phi_{\mathrm{sub}}(t)\bigr), \\[4pt] M_{\mathrm{mid}}(t) &= A_{\mathrm{mid}}\;\cos\bigl(2\pi f_{\mathrm{mid}}\,t + \phi_{\mathrm{mid}}(t)\bigr), \\[4pt] N_{\mathrm{lfo}}(t) &= \alpha\,\mathrm{Noise}_{\mathrm{color}}(t)\;\times\;\mathrm{LFO}(t). \end{aligned} \]
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