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lab_7.m
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lab_7.m
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clear all;
clc;
T = 1; % Duration of Signal
N = 4;
l = [1,2,4,21];
t = linspace(0, T, 1000); %%sampling frequency
f1 = 1 / 5; %% period off sampling
x = square(2*pi*5*t); %% square wave
a0 = mean(x); % DC
fourier_series = a0/2;
for k = 1:N
fourier_series = fourier_series + (sin(2*pi*(2*k-1)*t/f1)/(2*k-1));
end
fourier_series = (fourier_series * 4 ) / pi;
% Squarewave vs FourierSeries
figure;
plot(t, x, 'LineWidth', 2);
title('Square Wave');
xlabel('Time');
ylabel('Amplitude');
figure
plot(t, fourier_series, 'r', 'LineWidth', 2);
title('Fourier Series');
xlabel('Time');
ylabel("Amplitude");
%%
clear all;
clc;
T = 1; % Duration of Signal
N = 4;
t = linspace(0, T, 1000); %%sampling frequency
f1 = 1 / 5; %% period off sampling
x = square(2*pi*5*t); %% square wave
a0 = mean(x); % DC
fourier_series = a0/2;
mse = a0/2;
for k = 1:N
fourier_series = fourier_series + (sin(2*pi*(2*k-1)*t/f1)/(2*k-1));
end
fourier_series = (fourier_series * 4 ) / pi;
for l = 1:N
mse = (mse - fourier_series).*(mse-fourier_series);
end
mse = mse/N;
% Squarewave vs FourierSeries
figure;
plot(t, x, 'LineWidth', 2);
title('Square Wave');
xlabel('Time');
ylabel('Amplitude');
figure
plot(t, fourier_series, 'r', 'LineWidth', 2);
title('Fourier Series');
xlabel('Time');
ylabel("Amplitude");
figure
plot(t,mse,'b');