📄 gngauss.m
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%******************************************************
% gngauss.m
% Generate additive white gausian noise(P47/p119)
% Programmed by Liu Dejian
% Dtat:2008-3-8
%******************************************************
function[gsrv1,gsrv2]=gngauss(m,sgma)
% [gsrv1,gsrv2]=gngauss(m,sgma)
% [gsrv1,gsrv2]=gngauss(sgma)
% [gsrv1,gsrv2]=gngauss
% GNGAUSS generates two independent Gaussian random variables with mean
% m and standard deviation sgma. If one of the input arguments is missing,
% it takes the mean as 0.
% If neither the mean nor the variance is given, it generates two standard
% Gaussian random variables.
if nargin==0,
m=0;sgma=1;
elseif nargin==1,
sgma=m;m=0;
end;
u=rand; % a uniform random variable in (0,1)
z=sgma*(sqrt(2*log(1/(1-u)))); % a Rayleigh distributed random variable
u=rand; % another uniform random variable in (0,1)
gsrv1=m+z*cos(2*pi*u);
gsrv2=m+z*sin(2*pi*u);
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