Code:

clc
clear all
close all
warning off
x=cumsum(randn(1,10000));
plot(x);
title('Original Noisy Signal');
g=fspecial('gaussian',[1 100],10);
figure;
plot(g);
title('Gaussian Low pass Filter');
y=conv(x,g);
figure;
plot(x,'b');
hold on;
plot(y,'r','linewidth',2);
legend('Noisy Signal','Signal after noise removal');

You can refer this video to understand the effect of changing standard deviation of Gaussian Filter in removing noise--
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