Howtosignalprocessing
- How does the sample rate affect the spectrum?
- How do you calculate power spectral density using FFT?
- How is power spectral density calculated?
- What is the relation between the power spectral density and the autocorrelation function?
How does the sample rate affect the spectrum?
That is, the highest-frequency range in the spectrum has lower amplitude when higher sample rates are employed, and this artifact likely protrudes gradually into lower frequencies as sample rate further increases.
How do you calculate power spectral density using FFT?
A PSD is computed by multiplying each frequency bin in an FFT by its complex conjugate which results in the real only spectrum of amplitude in g2.
How is power spectral density calculated?
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.
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...(
