Using odd harmonics creat a sine wave (square) for 1khz

Using MATLAB

Answer 1

[Bhavya Chopra]

Please note, Frequency of square wave is same as the fundamental frequency (F0), we initialize F0 as 1000. The Sampling Frequency (samplingRate) and time for which the sound is produced (secs) can also be adjusted. A square wave for 1kHz can be created in MATLAB using odd harmonics as follows:

samplingRate = 48000;                         % Sampling Frequency
F0 = 1000;                                    % Fundamental Frequency
secs = 10;                                    % Time for which the sound will play
 
t  = linspace(0, secs, samplingRate*secs);    % Create time vector
w = 2*pi*F0;                                  % Radian value to create tone with Frequency F0
s = sin(w*t) + sin(3*w*t)/3 + ...             % Create Square Wave using odd harmonics
    sin(5*w*t)/5 + sin(7*w*t)/7;                                   
sound(s, samplingRate)                        % Producing sound

The square wave can also be plotted as follows:

plot(t(1:100), s(1:100));                     % Plotting the square wave for 100 samples
title("Square Wave Plot");
xlabel("Time");
ylabel("Amplitude");

Generated plot:

[Stephen23]

+1 neat answer