Gaussian noise

A white Gaussian noise w(t) with zero mean and power spectral density $\frac{N_0}{2}$, when applied to a first-order RC low pass filter produces an output n(t). At a particular tim...

Consider a communication scheme where the binary valued signal X satisfies P{X = + 1} = 0.75 and P {X = - 1} = 0.25. The received signal Y = X + Z, where Z is a Gaussian random var...

Consider a discrete-time channel Y = X + Z, where the additive noise Z is signal- dependent. In particular, given the trasmitted symbol $$X\, \in \,\{ \, - \,a,\,\, + \,a\} $$ at a...

The probability density function of the envelope of narrow band Gaussian noise is

Zero mean Gaussian noise of variance N is applied to a half wave rectifier. The mean squared value of the rectifier output will be:

White Gaussian noise is passed through a linear narrow band filter. The probability density function of the envelope of the noise at the filter output is: