## HSA-IMF: Synthetic Example 2

STFTM (left) and HSA-IMF(right) for a component with fast-varying IA and slow-varying IF. The real signal is given by $$x(t) = \Re\left\{ a(t) \exp\left[j\left( 1000\pi t + \int\limits_{-\infty}^{t} m(\tau) d\tau\right)\right] \right\}$$ where the IA is $$a(t) = \dfrac{1}{2} + \dfrac{1}{3}\sin(100\pi t) + \dfrac{1}{5}\sin(200\pi t)$$ and the FM message is $$m(t) = 150\sin(2\pi t).$$