Definition
A Z-channel (or a binary asymmetric channel) is a channel with binary input and binary output where the crossover 1 → 0 occurs with nonnegative probability p whereas the crossover 0 ← 1 never occurs. In other words, if X and Y are the random variables describing the probability distributions of the input and the output of the channel, respectively, then the crossovers of the channel are characterized by the conditional probabilities
- Prob{Y = 0 | X = 0} = 1
- Prob{Y = 0 | X = 1} = p
- Prob{Y = 1 | X = 0} = 0
- Prob{Y = 1 | X = 1} = 1−p
Read more about this topic: Z-channel (information Theory)
Famous quotes containing the word definition:
“Perhaps the best definition of progress would be the continuing efforts of men and women to narrow the gap between the convenience of the powers that be and the unwritten charter.”
—Nadine Gordimer (b. 1923)
“I’m beginning to think that the proper definition of “Man” is “an animal that writes letters.””
—Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)
“One definition of man is “an intelligence served by organs.””
—Ralph Waldo Emerson (1803–1882)