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FEC(Forwarding Error Correction)

2015年3月11日 / 264次阅读

In telecommunication, information theory, and coding theory, forward error correction (FEC) or channel coding is a technique used for controlling errors in data transmission over unreliable or noisy communication channels. The central idea is the sender encodes his message in a redundant way by using an error-correcting code (ECC). The American mathematician Richard Hamming pioneered this field in the 1940s and invented the first error-correcting code in 1950: the Hamming (7,4) code.

在通信,信息理论和编码理论,FEC是一种特别的编码技术,用于在不可靠,或者噪音大的通道上控制传输数据的差错。核心思想很简单,就是发送端进行一种冗余的编码,最早的FEC在20世纪40年代就被发明出来了。

The redundancy allows the receiver to detect a limited number of errors that may occur anywhere in the message, and often to correct these errors without retransmission. FEC gives the receiver the ability to correct errors without needing a reverse channel to request retransmission of data, but at the cost of a fixed, higher forward channel bandwidth. FEC is therefore applied in situations where retransmissions are costly or impossible, such as one-way communication links and when transmitting to multiple receivers in multicast. FEC information is usually added to mass storage devices to enable recovery of corrupted data, and is widely used in modems.

冗余的编码信息可以让接收端检测有线数量的数据传输错误,并且可以在不需要重传的情况下,修正这些粗无。FEC让接收端不需要请求重发数据就可以修正传输错误,但是付出的代价是固定的,更高的带宽占用(在编码中增加一些冗余的bit)。因此,FEC被用于数据重传很占资源,或者几乎不可能的场景,例如单向通信链接,组播场景。FEC信息常常加入存储设备中,这样可以恢复丢失的数据;FEC被广泛的应用在调制解调器中。

下面举个FEC的例子

A simplistic example of FEC is to transmit each data bit 3 times, which is known as a (3,1) repetition code. Through a noisy channel, a receiver might see 8 versions of the output, see table below.

一个简单的FEC例子,将每个bit传输3次,叫做(3,1)重复码。在通过一个有噪声的通道之后,接收端可能会收到8中不同的编码,见下表:

fec的一个简单的例子

fec的一个简单的例子

 

看,还是很简单的,出现点错误也不怕!

本文链接:https://www.maixj.net/ict/fec-forwarding-error-correction-3197

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