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The auto-correction function of white noise is represented as
- a)uniform
- b)delta
- c)gaussian
- d)non-uniform
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The auto-correction function of white noise is represented asa)uniform...
White noise is that signal whose frequency spectrum is uniform i.e. it has flat spectral density.
The power spectral density (PSD) of white noise is uniform throughout the frequency spectrum as shown:
The spectral density of white noise is Uniform and the autocorrelation function of White noise is the Delta function.
Derivation:
The power spectral density is basically the Fourier transform of the autocorrelation function of the power signal, i.e.
Also, the inverse Fourier transform of a constant function is a unit impulse.
Now, the auto-correlation is the inverse Fourier transform (IFT) of power spectral density function.
The inverse Fourier transform of the power spectrum of white noise will be an impulse as shown:
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The auto-correction function of white noise is represented asa)uniformb)deltac)gaussiand)non-uniformCorrect answer is option 'B'. Can you explain this answer?
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