How to add noise in [0 2] interval to an elements of an array randomly?

I have an array that is called 'r1' and i need a white noise to add to elements of the array. Every noise that is gonna to be added to elements should be different (like randomly) in [0,2] interval.

a = 0;
b = 360;
rng('shuffle');
ncycles = 10;
npoints = 500000;
r1 = sort((b-a)*rand(npoints/ncycles,ncycles)+a,1,'ascend');
r1 = r1(:);

[Rik]

Does it have to specifically be white noise? Also, if you're limiting it to [0,2], then (to my limited knowledge) it wouldn't actually be white noise.

What have you tried so far? There is probably already code you could find online that would generate different colors of noise.

[Ayberk Ay]

Actually it doesn't. Any noise could be fine.

[Ayberk Ay]

I've tried something but not sure it is exact true.

sigmas = 2;

randomNoise = randn(length(r1), 1)*sigmas+a;

r11 = r1 + randomNoise;

Answer 1

[Image Analyst]

I'd do it like this

noiseSignal = 2 * rand(size(r1));
r1WithNoise = r1 + noiseSignal;

If you want + or - 1 instead of adding noise, which will bias the signal upwards you can do:

noiseSignal = 2 * rand(size(r1)) - 1;
r1WithNoise = r1 + noiseSignal;

Answer 2

[Christopher McCausland]

Hi Ayberk,

Have you tried awgn(r1)?

r1Gaus = awgn(r1);

Kind regards,

Christopher

[Ayberk Ay]

I tried it but i don't have 'Communications System Toolbox', so it didn't work unfortunately.

[Christopher McCausland]

Hi Ayberk,

If you are using an instatutional licesne you might be able to get the Communications System toolbox from the addon manager.

If not, you can always use randn() to generate a noise patterns and add it to the signal.

Christopher

[Ayberk Ay]

I've tried something but not sure it is exact true.

sigmas = 2;

randomNoise = randn(length(r1), 1)*sigmas+a;

r11 = r1 + randomNoise;

[Christopher McCausland]

Hi Ayberk,

This is good work.

Ploting the input vs output gives you this, your output (red) follows the input (yellow) with a potential deviation of 4. Is this what you were looking for? I am not sure if you are only looking this over the first 2 seconds or for a max min of two?

I have shown from x = 0 => x = 1.

Christopher

[Ayberk Ay]

Yes, that's what i was looking for. Thanks for the answer.

[Christopher McCausland]

No worries,

I am glad to be of help! If you could accept this answer that would be fantastic!

Christopher