Question

y = 0.5*δ(t+9) + 0.25*δ(t+3) + 0.25*δ (t-3) + 0.25*δ(t-9)

how to you plot y function in MATLAB? δ is a delta function i tried to use dirac function in MATLAB i am just keep getting errors could you give me a code for the y function in MATLAB? thank you

Answer 1

While using dirac function for generating impulse signal, then for t=0 or t+a=0 or t-a=0 it will give infinite value (Inf).

Then we should find the positions where the value is infinite and there we need to replace with finite coefficient value.

If coefficient is 1 then replace with 1 (it will give unit impulse at that point).

MATLAB code:

clc;clear all;
t=-15:1:15;
y = 0.5*dirac(t+9) + 0.25*dirac(t+3) + 0.25*dirac(t-3) + 0.25*dirac(t-9);
idt = y == Inf; % find Inf
y(idt) = 1*[0.5;0.25;0.25;0.25]; % set Inf to finite coefficient value
stem(t,y)
xlabel('Time t')
ylabel('amplitude of y')

MATLAB result (plot):