Question about magnitude

[Noisecontrol]

corrected_fft = fft_sine / N * 2 / mean_window * V_ref / ADC_factor;

 What is fft_sin and N and mean_window and v_ref and adc factor?

fft_sin is magnituid in per bin?
N is samples for example 128?
mean_window what is it and how calculated?
V_ref is 5 or 3.3 volt?
Adc factor how calculated?

[PieterP]

They're defined above.

fft_sine is the result of the FFT, either as complex number, or the modulus of that complex number.
N is the number of bins (or the number of samples).
mean_window is the average value of the window function you're using.
V_ref is the ADC reference voltage, it depends on what Arduino you're using and how it's configured.
ADC_factor = 2^10 = 1024 if you're using the internal 10-bit ADC.

[Noisecontrol]

For calculate mean window i must get avarage Vreal of window function ?

[PieterP]

The window function is real by definition. But yes.

[Noisecontrol]

Please explain about fft_sin
Is fft _sin complex number like A+jB?

[PieterP]

It's more efficient if you calculate the modulus first, but from a mathematical standpoint it doesn't matter, because |r(a+bi)| = r|a+bi|.

It is the result of the FFT, and you want the magnitude, so you take the modulus. Then you multiply that modulus by the aforementioned correction factors.

[Noisecontrol]

I didnt understand
My english is not good please say simple to do it
Sin_fft is equal to magnitude or not?
If not how can i calculate sin_fft

[PieterP]

It is the magnitude of the results of the FFT.

[Noisecontrol]

Then magnitude per bin is equal  to sin_fft

[PieterP]

Yes.

[Noisecontrol]

About ADC reference voltage, 
I use arduino uno and i want to use 5 volt pin
How much is v_ref?

[PieterP]

Then V_ref is 5V.

[Noisecontrol]

After calculating correct_fft, the value of correct_fft will be in terms of voltage in per bin?

[PieterP]

Yes. But because of windowing and discretization, you'll get non-zero values in neighboring bins.

[Noisecontrol]

Yes. But because of windowing and discretization, you'll get non-zero values in neighboring bins.

I didnt understand you