Calculate autocorrelation of a sinus

1. How is autocorrelation calculated?
2. How do you calculate autocorrelation from power spectral density?
3. What is autocorrelation of sine wave?

How is autocorrelation calculated?

The number of autocorrelations calculated is equal to the effective length of the time series divided by 2, where the effective length of a time series is the number of data points in the series without the pre-data gaps. The number of autocorrelations calculated ranges between a minimum of 2 and a maximum of 400.

How do you calculate autocorrelation from power spectral density?

According to this, the power spectral density of s(t) can be obtained from the Fourier Transform of the autocorrelation of s(t), \mathfrakR_S(\tau) derived above, according to: where P(f) is the Fourier Transform of the waveform p(t). Moreover, the signal was assumed to be real.

What is autocorrelation of sine wave?

The autocorrelation of a sine wave is a cosine waveshape [REF10]. This means when looking for a periodic sinusoid signal in random noise the autocorrelation function will show a cosine waveshape mixed with the autocorrelation function of the random noise.