Normalize cols
From QETLAB
normalize_cols | |
Scales the columns of a matrix to have norm 1 | |
Other toolboxes required | none |
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Function category | Helper functions |
This is a helper function that only exists to aid other functions in QETLAB. If you are an end-user of QETLAB, you likely will never have a reason to use this function. |
normalize_cols is a function that scales each column of a matrix so that it has norm 1. That is, each column of the matrix is divided by its norm.
Syntax
- Y = normalize_cols(X)
Argument descriptions
- X: A matrix to have its columns normalized.
Examples
>> X = [1 0 1;0 2 1i;0 0 -1;0 0 -1i] X = 1.0000 0 1.0000 0 2.0000 0 + 1.0000i 0 0 -1.0000 0 0 0 - 1.0000i >> normalize_cols(X) ans = 1.0000 0 0.5000 0 1.0000 0 + 0.5000i 0 0 -0.5000 0 0 0 - 0.5000i
Source code
Click on "expand" to the right to view the MATLAB source code for this function.
%% NORMALIZE_COLS Scales the columns of a matrix to have norm 1
% This function has one required argument:
% X: a matrix
%
% Y = normalize_cols(X) is the same as X, except each of its columns has
% been divided by its length.
%
% URL: http://www.qetlab.com/normalize_cols
% requires: nothing
% author: Nathaniel Johnston (nathaniel@njohnston.ca)
% package: QETLAB
% last updated: January 2, 2013
function Y = normalize_cols(X)
Y = X./repmat(sqrt(sum(abs(X).^2,1)),size(X,1),1);