SOFTWARE: MATLAB (topic: intro to convolution)

PLEASE ANSWER ALL QUESTION i,ii,iii,iv in detail and correctly for thumbs up. I appreciate your work

given,

h(t) = 2 for 0 t 3 and x(t) = 1 for 3 t 3

(i) PLEASE COMMENT WHAT EACH CODE DOES. Also, comment on this graph(u will get this graph when you copy-paste the code above on Matlab. I just want you to explain how the code works) below.

(ii) Perform manual calculation of this convolution

(iii)What is a circular shift and why it is used here? (line 11 of above code)

iv)Explain why this numerical integration needs to be performed repeatedly inside the for loop.

clear all step_tau=0.01; tau=-10:step-tau:10; x_tau=(-30)&(tau-3)); t_vector=[]; xconvh=[]; for t=-3:0.05:6 delay_samples-round(t/(step_tau)); h_tau_mirror_shift-circshift (h_tau_mirror', delay_samples)'; sconvh_at_t=sum (x_tau.*h_tau_mirror_shift)*step_tau; t_vector=[t_vector t]; xconvh=[xconvh xconvh_at_t]; end figure plot (t_vector, xconvh); grid on Figure 1 - File Edit View Insert Tools Desktop Window Help 6 07 4 3 2 1 0 -3 -2 - 1 0 1 2 3 4 5 6 clear all step_tau=0.01; tau=-10:step-tau:10; x_tau=(-30)&(tau-3)); t_vector=[]; xconvh=[]; for t=-3:0.05:6 delay_samples-round(t/(step_tau)); h_tau_mirror_shift-circshift (h_tau_mirror', delay_samples)'; sconvh_at_t=sum (x_tau.*h_tau_mirror_shift)*step_tau; t_vector=[t_vector t]; xconvh=[xconvh xconvh_at_t]; end figure plot (t_vector, xconvh); grid on Figure 1 - File Edit View Insert Tools Desktop Window Help 6 07 4 3 2 1 0 -3 -2 - 1 0 1 2 3 4 5 6