Howtosignalprocessing
- What is power spectrum of white noise?
- What is power spectral density of white noise?
- What is uniform white noise?
- Is white noise a power signal?
What is power spectrum of white noise?
White noise vector
The power spectrum P of a random vector w can be defined as the expected value of the squared modulus of each coefficient of its Fourier transform W, that is, Pi = E(|Wi|2). Under that definition, a Gaussian white noise vector will have a perfectly flat power spectrum, with Pi = σ2 for all i.
What is power spectral density of white noise?
The power spectral density of white noise is given by: S X ( f ) = η 2 for all frequency 'f', i.e. Now auto-correlation is inverse Fourier transform (IFT) of power spectral density function.
What is uniform white noise?
For uniform white noise, the PDF of the amplitudes of the time domain samples is uniform within the specified maximum and minimum levels. In other words, all amplitude values between some limits are equally likely or probable. Thermal noise produced in active components tends to be uniform white in distribution.
Is white noise a power signal?
White noise is a CT stochastic process whose PSD is constant. Signal power is the integral of PSD over all frequency space. Therefore the power of white noise is infinite. No real physical process may have infinite signal power.
