How to creat noisy copies of vector?

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I should generate values of a linear function f(x) = ax + b for the x variable taking on values from the interval <-4,10> with step 0.1.
x = -4:0.1:10 ; % i did it
and to create two noisy copies: Y1, and Y2 by adding pseudo-random noise from normal distribution: one with a variance v1 = 0.1, the other with v2 = 1. How can I do that?

Accepted Answer

Bora Eryilmaz
Bora Eryilmaz on 7 Dec 2022
Edited: Bora Eryilmaz on 7 Dec 2022
x = -4:0.1:10;
v1 = 0.1;
r1 = sqrt(v1).*randn(size(x));
Y1 = x + r1;
var(r1) % Should be approximately 0.1
ans = 0.0992
v2 = 1;
r2 = sqrt(v2).*randn(size(x));
Y2 = x + r2;
var(r2) % Should be approximately 1.0
ans = 1.0422
plot(x)
hold on
plot(Y1)
plot(Y2)

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