Howtosignalprocessing
- What is the variance of white Gaussian noise?
- What is mean and variance in Gaussian noise?
- What is the standard deviation of Gaussian noise?
- What is the formula for white Gaussian noise?
What is the variance of white Gaussian noise?
White noise has infinite power; therefore, samples of a white noise process would require infinite variance. Alternatively, white noise has infinite bandwidth, so the Nyquist rate for recovering white noise from its samples would be infinite.
What is mean and variance in Gaussian noise?
A Gaussian noise is a random variable N that has a normal distribution, denoted as N~ N (µ, σ2), where µ the mean and σ2 is the variance. If µ=0 and σ2 =1, then the values that N can take are concentrated in the interval (-3.5, 3.5). The random-valued impulse noise is a certain pulse that can have random values.
What is the standard deviation of Gaussian noise?
Despite its weaker privacy guarantees, the Gaussian distribution is much flatter. Its standard deviation is over 3.4, while Laplace's is less than 1.3. Thus, much more noise will need to be added, and analysts care a lot about minimizing the noise.
What is the formula for white Gaussian noise?
The random process X(t) is called a white Gaussian noise process if X(t) is a stationary Gaussian random process with zero mean, μX=0, and flat power spectral density, SX(f)=N02, for all f. This again confirms that white noise has infinite power, E[X(t)2]=RX(0).
