annotate toolboxes/FullBNT-1.0.7/netlab3.3/gsamp.m @ 0:cc4b1211e677 tip

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function x = gsamp(mu, covar, nsamp)
%GSAMP	Sample from a Gaussian distribution.
%
%	Description
%
%	X = GSAMP(MU, COVAR, NSAMP) generates a sample of size NSAMP from a
%	D-dimensional Gaussian distribution. The Gaussian density has mean
%	vector MU and covariance matrix COVAR, and the matrix X has NSAMP
%	rows in which each row represents a D-dimensional sample vector.
%
%	See also
%	GAUSS, DEMGAUSS
%

%	Copyright (c) Ian T Nabney (1996-2001)

d = size(covar, 1);

mu = reshape(mu, 1, d);   % Ensure that mu is a row vector

[evec, eval] = eig(covar);

deig=diag(eval);

if (~isreal(deig)) | any(deig<0), 
  warning('Covariance Matrix is not OK, redefined to be positive definite');
  eval=abs(eval);
end

coeffs = randn(nsamp, d)*sqrt(eval);

x = ones(nsamp, 1)*mu + coeffs*evec';