## HSA-IMF: Synthetic Example 1

STFTM (left) and HSA-IMF(right) for a component with slow-varying IA and fast-varying IF. The real signal is given by $$x(t) =\Re\left\{ a(t) \exp\left[j\left(6000\pi t + \int\limits_{-\infty}^{t} m(\tau) d\tau \right)\right] \right\}$$ where the IA is $$a(t) = e^{-(t-0.5)^2/25}$$ and the FM message is $$m(t) = 250\sin(140\pi t)+2000[\exp(-4t)-1].$$