Finding frequency and duration of an audio signal

What is the frequency (not the sampling rate) and duration of this audio?

>> fs=24000.0; % Sampling rate 
>> t=0:1/fs:1; % One sample each Ts=1/fs 
>> x=cos(2∗pi∗1000∗t);
>> sound(x,fs);

I'm trying to learn signal processing ... and I can't find the answer to this question anywhere.

Thanks in advance.

Answer 1

[Star Strider]

You specified it to be 1 kHz, and 1 second duration, so it is just that:

fs=24000.0; % Sampling rate 
t=0:1/fs:1; % One sample each Ts=1/fs 
x=cos(2*pi*1000*t);
sound(x,fs);

L = numel(t);
fn = fs/2;
FTx = fft(x)/L;
Fv = linspace(0, 1, fix(L/2)+1)*fn;
Iv = 1:numel(Fv);

figure
plot(Fv, abs(FTx(Iv))*2)
grid
xlim([0 2000])

The Fourier transform plot demonstrates it.

[Ban Coder]

Thank you so much!

[Star Strider]

As always, my pleasure!