Problems: 1. An LTI system whose response to the signal x(t) below is the signal y(t) below. Determine and sketch carefully the response of the system to the inputs xa(t) and xb(t) below using LTI properties.
2. Convolve the following digital signals
3. Let
x(n) = δ(n) + δ(n - 1) + δ(n -2)
h(n) = δ (n) + δ(n - 1) + δ(n - 2) + δ (n - 3)
(a) Compute and plot
yla(n) = x(n)*h(n)
(b) Compute and plot
ylb(n) = x(n + 2)*h(n)
Remember to show your work.
4. a) Using unit step notation, write the equation for x(t) and h(t) below
b) Calculate the convolution y(t) = x(t)*h(t) for the signals in (a).