MATLAB: Normalize matrix by standard deviation

eofmatrixnormalize

I am preparing a data matrix of a data series of images to perform an EOF. It's a MxN matrix where M are the pixel values (rows) and N are the images. Is it possible to normalize the entire matrix by the standard deviation? If so, how can do this? Or do I have to normalize each image (column)?

Best Answer

If A is your MxN matrix and is of type 'double', do this:

   A = bsxfun(@rdivide,A,std(A));

(This assumes you want unbiased standard deviation.)

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MATLAB: Mean of Matrix Rows

The row means would be calculated as the mean of dimension 2.

Try this:

A = rand(5);
Anew = A - mean(A,2);
Check = mean(Anew,2)                    % Confirm: Mean = 0

MATLAB: Standard Deviation

numdev = floor((mean(S)-min(S))./std(S));

Determining the position of each standard deviation and plotting is left as a homework exercise.

Though possibly you want

numdev = floor((mean(S,2)-min(S,[],2))./std(S,[],2));

Best Answer

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MATLAB: Mean of Matrix Rows

MATLAB: Standard Deviation

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