A DT signal x[n]=2ⁿ(u[n]−u[n−5]) is applied to an LTI system with impulse response

h[n]=2δ[n]+3δ[n−1]+δ[n−2]

(a) Determine the output of the LTI system yL[n] using linear convolution.
(b) Determine the circular convolution of x[n] and h[n], denoted as yc[n], for 0≤ n≤4.

Suppose we want to compute linear convolution using FFT and IFFT.
(c) How many zeros should be padded to x[n] and h[n] before performing FFT?
(d) Draw the implementation block diagram of the entire process.