Why/How a Gaussian Channel is both band-limited and Power limited?

1. What is the channel capacity of Gaussian?
2. Can a signal be band limited and time limited?
3. What is a Gaussian channel?
4. What is AWGN channel and why it is used?

What is the channel capacity of Gaussian?

The capacity of a Gaussian channel is C = 1/2 log(1 + P/N ).

Can a signal be band limited and time limited?

Mathematically, a signal can never be truly band-limited. A law of Fourier transformations says that if a signal is finite in time, its spectrum extends to infinite frequency, and if its bandwidth is finite, its duration is infinite in time.

What is a Gaussian channel?

Definition. A Gaussian channel is a time-discrete channel with output Yi, input Xi. and noise Zi at time i such that. Yi = Xi +Zi, Zi∼ N (0,N) where Zi is i.i.d and independent of Xi. The Gaussian channel is the most important continuous alphabet channel, modeling a wide range of communication channels.

What is AWGN channel and why it is used?

An AWGN channel adds white Gaussian noise to the signal that passes through it. You can create an AWGN channel in a model using the comm. AWGNChannel System object™, the AWGN Channel block, or the awgn function.