Hwo to normalize a Matrix ?

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RT Student
RT Student 2021년 8월 15일
편집: Image Analyst 2022년 1월 25일
what is the code to normalize a random complex matrix H according to the following formula:

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Fabio Freschi
Fabio Freschi 2021년 8월 16일
편집: Fabio Freschi 2021년 8월 16일
Following the formula of the OT the normalization has to be done according to the max and min of each row. Note that the matrix in the comment is actually a real matrix. The solution should be:
% random 4x3 matrix
H = abs(sqrt(1/2)*(randn(16,4)+1j*randn(16,4)));
% min/max along the rows
hMin = min(H,[],2);
hMax = max(H,[],2);
% normalization (binary singleton expansion is implicit since Matlab 2016b)
H = (H-hMin)./(hMax-hMin);
In this way, each element in a row is in the range [0 1]
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영우 오
영우 오 2022년 1월 25일
Thank you!!

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추가 답변(2개)

Image Analyst
Image Analyst 2021년 8월 15일
편집: Image Analyst 2022년 1월 25일
Well I don't know about complex numbers, but for a normal, real valued matrix, you can use the rescale() function, introduced in r2017b:
h = rescale(h, 0, 1);
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Image Analyst
Image Analyst 2021년 8월 16일
@RT Student the code you gave worked just fine. No error at all. Even when I correct rescale(H, 1, 0) to what I had, rescale(H, 0, 1) it still works.
However Fabio is right - the formula normalizes on a row-by-row basis, not globally like my solution did.
His answer is good and more closely follows your formula. Thanks for accepting it. If you wanted to use the built-in rescale(), you'd have to do it on a row-by-row basis:
% Create data. Note, because of abs() it is all real valued.
H = abs(sqrt(1/2)*(randn(16,4)+1j*randn(16,4)))
% Rescales to global min and max.
%H = rescale(H, 0, 1)
% Rescales min and max to 0-1 on a row-by-row basis.
for row = 1 : size(H, 1)
H(row, :) = rescale(H(row, :), 0, 1);
end

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Steven Lord
Steven Lord 2021년 8월 16일
Take a look at the normalize function.

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