MATLAB: Why does the sound with different sampling frequency sounds the same

audioMATLAB

Dear people,
I am trying to write an audio with the following lines. However, every after I write an audio into a file and play it, they sound the same no matter what the sampling frequency is.
clear all
clc
FrequencySampling = 2500;                                     % 2500 for safe 10000 for shock
duration =17;
repeats=1;
t  = linspace(0, duration, FrequencySampling*duration+1);      % Time Vector + 1 sample
t(end) = [];                                                   % remove extra sample
w = 2*pi*1000;                                                 % Radian Value To Create 1kHz Tone                              
                                                              
for i=1:repeats
        s = sin(w*t);
        sound(s,FrequencySampling);
        pause(5)                                               %ITI 60 sec 
end
audiowrite('shock.wav',s,FrequencySampling);
Please recommend me any possible reasons or let me know if I have done sth wrong.

Best Answer

That's the basic of the 'Sampling theorem'. As long as frequency component of the signal is less than Nyquist frequency ( = sampling frequency * 0.5), the original signal can be re-generated.
Looking at your code, the signal frequency is 1 [kHz] and both sampling frequencies (2.5 [kHz] and 10 [kHz]) satisfy the Nyquist condition. So the regeneratd signal sounds the same.
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