參數(shù)資料
型號(hào)： AN2407
廠商： 飛思卡爾半導(dǎo)體(中國(guó))有限公司
英文描述： Reed Solomon Encoder/Decoder on the StarCore SC140/SC1400 Cores, With Extended Examples
中文描述： 里德所羅門編碼器/的StarCore SC140/SC1400核心解碼器，以擴(kuò)展實(shí)例
文件頁(yè)數(shù)： 2/48頁(yè)
文件大小： 306K
代理商： AN2407
Reed Solomon Encoder/Decoder on the StarCore SC140/SC1400 Cores, With Extended Examples, Rev. 1
2
Freescale Semiconductor
Basics of Forward Error Correction (FEC)
1
Basics of Forward Error Correction (FEC)
In an ideal communication scheme, the information received is identical to the source transmission. However, in a
typical real communication scheme, the information passes through a noisy communication channel to the receiver.
The information received at the destination is likely to contain errors due to the channel noise. The acceptable level
of transmitted signal corruption (error level) depends on the application. Voice communication, for example, is
relatively error tolerant. However, the prospect of occasionally losing a digit in communications of financial data
highlights the need for error-control mechanisms.
In 1948, C.E. Shannon proved in his classic paper [1] that a communications channel can be made arbitrarily
reliable by encoding the information so that a fixed fraction of the channel is used for redundant information. In the
years that followed, there was a rapid development in designing FEC schemes. Today, a variety of effective coding
algorithms are widely used. FEC offers a number of benefits:
Data integrity is critical in the design of most digital communication systems and all storage devices.
Along with the design trend toward increasing bandwidths and data volumes, there is a drive to
decrease the allowed error rates. FEC enables a system to achieve high data reliability.
FEC yields low error rates and performance gains for systems in which other options, such as
increasing the transmitted power or installing noise-limiting components, are too expensive or
impractical.
System costs may be reduced by eliminating an expensive or sensitive component and compensating
for the lost performance by a suitable FEC scheme.
For an overview of FEC schemes, consult [2] and [3].
FEC adds carefully designed information to the transmitted data and uses this redundant information to reconstruct
the potentially corrupted data.
Figure 1
depicts a typical communications scheme.
Figure 1.
FEC Communications System
The two main type of error-control codes used in communications systems are as follows:
Convolutional codes
. Each bit depends on the current bit as well as on a number of previous bits. In
this sense, the convolutional code has a memory. The most common scheme for decoding
convolutional codes is the Viterbi algorithm.
Block codes
. A bitstream is divided into message blocks of fixed length called frames. The valid code-
word block is formed from the message bitstream by adding a proper redundant part. Each code word
is independent of the previous one, so the code is memory-less.
Source Encoder
FEC Encoder
Modulation
Demodulation
FEC Decoder
Source Decoder
Destination
Input Source
Channel
Noise
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