The impulse response of a 1-D LTI system is . (a) Plot h...

The impulse response of a 1-D LTI system is

.

(a) Plot h(t) with labeled axes. Is the system stable? Is it causal?

(b) Find and plot the response of the system to a constant signal f (t) = c.

(c) Find and plot the response of the system to a unit step signal

(d) Compute the Fourier transform of h(t).

(e) Plot the magnitude spectrum |H(u)| for T = 0.25, T = 0.1, and T =0.05.

(f) What kind of filter is this LTI system?