clear; close all; clc;

N = 128;
n = 0:N-1;
w1 = 2*pi*0.1;
w2 = 2*pi*0.15;
x = cos(w1*n) + cos(w2*n);

% a)

X = fft(x);
magX = abs(X);

figure;
stem(n, magX, 'filled');
xlabel('n');
ylabel('|X[n]|');
title('Magnitude Spectrum of x[n]');
grid on;

% b)

y = hamming(N)' .* x;

Y = fft(y);
magY = abs(Y);

figure;
stem(n, magY, 'filled');
xlabel('n');
ylabel('|Y[n]|');
title('Magnitude Spectrum of y[n]');
grid on;