If one normalized vector is subtracted from another normalized vector, is it necessary to normalize the result?

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NASRIN AKTER 2022-5-15

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回答： Matt J 2022-5-16

Hello

I was following the example:

https://www.mathworks.com/help/signal/ug/ocular-artifact-removal-from-electroencephalogram-signals-using-deep-learning-regression.html

I don't understand after prediction why the denoised signal is normalized.

Also, if I assume the noise was additive and subtract the normalized denoised signal from the normalized noisy signal to get the noise, do I need to normalize the noise signal?

Thanks in advance.

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Answer 1

Matt J 2022-5-16

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https://ww2.mathworks.cn/matlabcentral/answers/1719945-if-one-normalized-vector-is-subtracted-from-another-normalized-vector-is-it-necessary-to-normalize#answer_964585

在 MATLAB Online 中打开

If

, it does not necessarily follows that

. Example:

a=rand(1,5); a=a/norm(a);
b=rand(1,5); b=b/norm(b);
norm(a-b)
ans = 0.5268

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If one normalized vector is subtracted from another normalized vector, is it necessary to normalize the result?

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If one normalized vector is subtracted from another normalized vector, is it necessary to normalize the result?

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