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  • $\begingroup$ It goes by definition of the DFT Basically, for each bin of the DFT you correlate your signal with a cosine to get the real part and with a sine to get the imaginary part. Assuming your sine wave has the same frequency as the DFT bin, your sine will be perfectly correlated with the imaginary sine of the DFT while the correlation of your sine wave with the cosine will give 0. Since the output for this frequency bin is imaginary and positive, your will phase will be 90 degrees. en.wikipedia.org/wiki/Discrete_Fourier_transform $\endgroup$ Commented May 4, 2021 at 13:54
  • $\begingroup$ Thanks Ben. Your answer is clear to me. I need to subtract all phase values ? and can you please provide any resource on correlation specifically on DFT things? $\endgroup$ Commented May 4, 2021 at 14:49