DMC is a #communication channel having two alphabets (source): input \(X\) and output \(Y\) which has the following characteristics:
- \(x\) and \(y\) are random variables
- \(y\) is a noisy version of \(x\)
- in each signalling interval the channel accepts \(x\) from \(X\) as input, and emits \(y\) from \(Y\) as output
- both \(X\) and \(Y\) have finite sizes since it is discrete#
- the current output only depends on current input since it is memoryless#
- \(X\) and \(Y\) don’t necessarily have the same size
It can be represented using Channel Matrix#.
There are some special cases of DMC