Question

State and prove any three properties of Narrow band Noise processes.

Answer 1

1. Gaussian and Uniform White Noise:
2. Power Spectral Density
3. Strictly and weakly defined White noise:

Answer 2

Answer:

Narrow- band noise is a small bandwidth of frequencies produced by filtering 1/3 octave range from a broad-band noise.  

The three properties are:

1. Narrow-band noise is represented as in terms of its envelope and phase.

2. Narrow-band Gaussian noise is used as a noise model in communication system.

3. The assumption of Gaussian and WSS (wide-sense- stationary) behavior are easy to understand.