How to window the signal x = 10sin2pi64t + sin2pi250t + 20sin2pi256t + 3sin2pi260t + 10sin2pi512t in matlab with certain window length and window type Give me the codes
To window the signal, we can use the hamming function in MATLAB. Here's an example code to window the signal:
% Define the signal
fs = 1000; % Sampling frequency
t = 0:1/fs:1-1/fs; % Time vector
x = 10*sin(2*pi*64*t) + sin(2*pi*250*t) + 20*sin(2*pi*256*t) + 3*sin(2*pi*260*t) + 10*sin(2*pi*512*t);
% Define the window length and type
win_len = 256; % Window length
win_type = 'hamming'; % Window type
% Create the window
win = hamming(win_len);
% Apply the window to the signal
x_win = x .* win';
% Plot the original and windowed signals
figure;
subplot(2,1,1);
plot(t, x);
title('Original Signal');
xlabel('Time (s)');
ylabel('Amplitude');
subplot(2,1,2);
plot(t, x_win);
title('Windowed Signal');
xlabel('Time (s)');
ylabel('Amplitude');
In this code, we first define the signal x as before. We then define the window length win_len and window type win_type. We use the hamming function to create the window win. We then apply the window to the signal x using element-wise multiplication and store the result in x_win. Finally, we plot the original and windowed signals using the subplot function
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