An Ideal Low Pass Filter: The impulse response of an ideal low-pass filter is
h(t) = sin(t)/t
(or the sinc signal).
(a) Given that the impulse response is the response of the system to an input x(t) = f(t)with zero initial conditions, can an ideal low pass filter be used for real-time processing? Explain.
(b) Is the ideal low-pass filtering BIBO stable? Use MATLAB to check if the impulse response satisfies the condition for BIBO stability.