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Tagged with white-noise dirac-delta-impulse
3 questions
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Why use white noise over an impulse signal (or vice versa) to understand how a system would behave?
An impulse signal and white noise both have a flat spectrum. When they are passed into a system, the response will indicate how each frequency component will be modified by the system. Is there any ...
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Rigorous derivation of autocorrelation of white noise
It is said that the autocorrelation of white noise is the dirac delta function $\delta(\tau)$, but I don't know how to derive that...
Since white noise is a function with constant power spectral ...
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Why is white noise uncorrelated for any two different samples?
Consider white noise with spectrum density $N_0/2$, it is known that the autocorrelation is given by:
$$R(\tau) = \frac{N_0}{2}\delta(\tau)$$
Meanwhile the definition of delta function in the ...
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