How to normalize / denormalize a vector to range [-1;1]

matlab normalization denormalization
neverMind picture neverMind · Jan 13, 2011 · Viewed 37.4k times · Source

How can I normalize a vector to the range [-1;1]

I would like to use function norm, because it will be faster.

Also let me know how I can denormalize that vector after normalization?

Answer

Jonas picture Jonas · Jan 13, 2011

norm normalizes a vector so that its sum of squares are 1.

If you want to normalize the vector so that all its elements are between 0 and 1, you need to use the minimum and maximum value, which you can then use to denormalize again.

%# generate some vector
vec = randn(10,1);

%# get max and min
maxVec = max(vec);
minVec = min(vec);

%# normalize to -1...1
vecN = ((vec-minVec)./(maxVec-minVec) - 0.5 ) *2;

%# to "de-normalize", apply the calculations in reverse
vecD = (vecN./2+0.5) * (maxVec-minVec) + minVec

Related questions

How to normalize a histogram in MATLAB?

How to normalize a histogram such that the area under the probability density function is equal to 1?

Read More
Normalization in variable range [ x , y ] in Matlab

I wanna create basic matlab program that normalizes given array of integer in the given range. Inputs are an array [ a1 , a2 , a3 , a4 , a5 , a6 , a7... ], and the range [ x , y ] Output is normalized array. But in everywhere, i …

Read More
Fast technique for normalizing a matrix in MATLAB

I want to normalise each column of a matrix in Matlab. I have tried two implementations: Option A: mx=max(x); mn=min(x); mmd=mx-mn; for i=1:size(x,1) xn(i,:)=((x(i,:)-mn+(mmd==0))./(mmd+(mmd==0)*2))*2-1; end …

Read More