The impulse response of an ideal low-pass filter is h(t) = sin(t)/t.

(a) Given that the impulse response is the response of the system to an input x(t) = δ(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 bounded-input bounded-output stable? Use MATLAB to check if the impulse response satisfies the condition for BIBO stability.