How to generate a noise which sums up as zero?

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ANANTA BIJOY BHADRA 2023-8-1

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https://ww2.mathworks.cn/matlabcentral/answers/2003362-how-to-generate-a-noise-which-sums-up-as-zero

编辑： David Goodmanson 2023-8-1

I have a sinusoidal downsampled signal. the size of the singal is 1*64. I need to add noise to that signal where sum of noise would be zero. How can I do that? The varience would be 0.001. I am new in this and don't have idea about this. I tried with randn command but I could get that? I tried the follwoing noise:

noise=randn(1,64)*sqrt(0.001)*240.

240 is the peak value of the singal and it has to be there.

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Answer 1

David Goodmanson 2023-8-1

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https://ww2.mathworks.cn/matlabcentral/answers/2003362-how-to-generate-a-noise-which-sums-up-as-zero#answer_1282027

编辑：David Goodmanson 2023-8-1

在 MATLAB Online 中打开

Hi Ananta,

noise=randn(1,64)*sqrt(0.001)*240
noise = noise - mean(noise);

if you subtract off the mean, then the new sum of the noise = 0.

Ordinarily you would add noise (variance=.001 in this case) to the signal. If you multiply the noise by 240, now its variance is up around 58 which may or may not be what you want.