In telecommunication and information theory, the code rate (or information rate) of a forward error correction code is the proportion of the data-stream that is useful (non-redundant). That is, if the code rate is k/n, for every k bits of useful information, the coder generates totally n bits of data, of which n-k are redundant.
If R is the gross bitrate or data signalling rate (inclusive of redundant error coding), the net bitrate (the useful bit rate exclusive of error-correction codes) is ≤ R•k/n.
For example: The code rate of a convolutional code may typically be 1/2, 2/3, 3/4, 5/6, 7/8, etc, corresponding to that one redundant bit is inserted after every single, second, third, etc, bit. The code rate of the Reed Solomon block code denoted RS(204,188) is 188/204, corresponding to that 204 - 188 = 16 redundant bytes are added to each block of 188 byte of useful information.
A few error correction codes do not have a fixed code rate -- rateless erasure codes.
Note that bit/s is a more widespread unit of measurement for the information rate, implying that it is synonymous to net bit rate or useful bit rate exclusive of error-correction codes.
Famous quotes containing the words code and/or rate:
“...I had grown up in a world that was dominated by immature age. Not by vigorous immaturity, but by immaturity that was old and tired and prudent, that loved ritual and rubric, and was utterly wanting in curiosity about the new and the strange. Its era has passed away, and the world it made has crumbled around us. Its finest creation, a code of manners, has been ridiculed and discarded.”
—Ellen Glasgow (18731945)
“Whoever thinks his friend more important than his country, I rate him nowhere.”
—Sophocles (497406/5 B.C.)