In information theory

Information theory

Information theory is a branch of applied mathematics and electrical engineering involving the quantification of information. Information theory was developed by Claude E. Shannon to find fundamental limits on signal processing operations such as compressing data and on reliably storing and...

, turbo codes (originally in French Turbocodes) are a class of high-performance forward error correction

Forward error correction

In telecommunication, information theory, and coding theory, forward error correction or channel coding is a technique used for controlling errors in data transmission over unreliable or noisy communication channels....

 (FEC) codes developed in 1993, which were the first practical codes to closely approach the channel capacity

Shannon–Hartley theorem

In information theory, the Shannon–Hartley theorem tells the maximum rate at which information can be transmitted over a communications channel of a specified bandwidth in the presence of noise. It is an application of the noisy channel coding theorem to the archetypal case of a continuous-time...

, a theoretical maximum for the code rate

Code rate

In telecommunication and information theory, the code rate of a forward error correction code is the proportion of the data-stream that is useful...

  at which reliable communication is still possible given a specific noise level. Turbo codes are finding use in (deep space

Deep Space

- Star Trek :* Battle of Deep Space Nine, the first major battle of the Dominion War* Deep Space Nine , space station in the fictional Star Trek universe* Deep Space Nine relaunch, number of novels released since 2000...

) satellite

Satellite

In the context of spaceflight, a satellite is an object which has been placed into orbit by human endeavour. Such objects are sometimes called artificial satellites to distinguish them from natural satellites such as the Moon....

 communications

Telecommunication

Telecommunication is the transmission of information over significant distances to communicate. In earlier times, telecommunications involved the use of visual signals, such as beacons, smoke signals, semaphore telegraphs, signal flags, and optical heliographs, or audio messages via coded...

 and other applications where designers seek to achieve reliable information transfer over bandwidth- or latency-constrained communication links in the presence of data-corrupting noise.