Coding theory

Binary symmetric channel

A binary symmetric channel (or BSCp) is a common communications channel model used in coding theory and information theory. In this model, a transmitter wishes to send a bit (a zero or a one), and the receiver will receive a bit. The bit will be "flipped" with a "crossover probability" of p, and otherwise is received correctly. This model can be applied to varied communication channels such as telephone lines or disk drive storage. The noisy-channel coding theorem applies to BSCp, saying that information can be transmitted at any rate up to the channel capacity with arbitrarily low error. The channel capacity is bits, where is the binary entropy function. Codes including Forney's code have been designed to transmit information efficiently across the channel. (Wikipedia).

Binary symmetric channel
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Related pages

DNA | Hamming distance | Channel capacity | Coding theory | Noisy-channel coding theorem | Mutual information | Probability | Binary entropy function | Linear code | Decoding methods | Chernoff bound | Binary erasure channel | Information theory | Code | Markov's inequality | Conditional probability | Bit | Random variable | Expected value | Probabilistic method | Reduction (complexity) | Conditional entropy | Z-channel (information theory)