convolute gaussian with delta function in matlab

main.m
% Create a vector representing the Gaussian function
mu = 0; % mean
sigma = 1; % standard deviation
x = -10:0.1:10; % range of values
gaussian = exp(-(x-mu).^2/(2*sigma^2))/(sigma*sqrt(2*pi));

% Create a vector representing the delta function
delta = zeros(size(x));
delta(x == 0) = 1;

% Convolve the Gaussian function with the delta function
convolution = conv(gaussian, delta, 'same');

% Plot the results
figure;
subplot(3,1,1);
plot(x, gaussian);
title('Gaussian Function');
xlabel('x');
ylabel('Amplitude');
grid on;

subplot(3,1,2);
plot(x, delta);
title('Delta Function');
xlabel('x');
ylabel('Amplitude');
grid on;

subplot(3,1,3);
plot(x, convolution);
title('Convolution of Gaussian and Delta');
xlabel('x');
ylabel('Amplitude');
grid on;
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