Questions about the power spectral density for a simple sinusoid

1. What is the relation between the power spectral density and the autocorrelation function?
2. What is the significance of power spectral density?
3. What are the factors on which power spectral density of digital data depend?
4. How do you calculate power spectral density?

What is the relation between the power spectral density and the autocorrelation function?

The power spectral density function S(ω) and the autocorrelation function R(τ)of a power signal form a Fourier transform pair, i.e., R(τ)FT↔S(ω) Proof - The autocorrelation function of a power signal x(t) in terms of exponential Fourier series coefficients is given by, R(τ)=∞∑n=−∞CnC−nejnω0τ...(

What is the significance of power spectral density?

Power spectral density specifies the power levels of the frequency components present in a signal. It is denoted as PSD inshort. The PSD specifies the power of various frequencies present in the signal and we can determine the range of power over which the signal frequencies are operating at.

What are the factors on which power spectral density of digital data depend?

Estimation of PSD by Welch's method depends on three parameters, 1) window length – win, 2) percentage of window overlap – noverlap and 3) number of FFT points – N.

How do you calculate power spectral density?

A signal consisting of many similar subcarriers will have a constant power spectral density (PSD) over its bandwidth and the total signal power can then be found as P = PSD · BW.