Question

Using table method, find y(n) for the following system and graph your answer versus n using MATLAB

x(n) = {0,2,4,3,2,0} h₁(n) = (n) [u(n+1)−u(n−3)]
↑
h₂(n) = {0,1,2,3,1,0} h₃(n) = (n+1) [u(n+1)−u(n−4)]
↑

Answer 1

To find y(n) using the table method, we need to convolve the given input signal x(n) with each of the three impulse response signals h₁(n), h₂(n), and h₃(n). Once we have y(n), we can plot it versus n using MATLAB to visualize the output signal.

Step-by-step explanation:

To find y(n) using the table method, we need to convolve the given input signal x(n) with each of the three impulse response signals h₁(n), h₂(n), and h₃(n).

Here are the steps to do it:

Convolve x(n) with h₁(n) to get y₁(n).

Convolve x(n) with h₂(n) to get y₂(n).

Convolve x(n) with h₃(n) to get y₃(n).

Add y₁(n), y₂(n), and y₃(n) to get the final output y(n).

Once we have y(n), we can plot it versus n using MATLAB to visualize the output signal.