(Solved):
The impulse response of a linear system is defined by the Gaussian function \[ h(t)=\exp \left(-\f ...
The impulse response of a linear system is defined by the Gaussian function \[ h(t)=\exp \left(-\frac{t^{2}}{2 \tau^{2}}\right) \] where the parameter \( \tau \) is used to adjust duration of the impulse response. Determine the frequency response of the system.