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參數(shù)資料
| 型號： | AN2407 |
| 廠商： | 飛思卡爾半導(dǎo)體(中國)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，以擴展實例 |
| 文件頁數(shù)： | 1/48頁 |
| 文件大?。?/td> | 306K |
| 代理商： | AN2407 |
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Freescale Semiconductor
Application Note
AN2407
Rev. 1, 12/2004
Freescale Semiconductor, Inc., 2003, 2004. All rights reserved.
This application note describes the implementation of the Reed-
Solomon error-control codes on the StarCore SC140 DSP
core. Reed-Solomon codes are the preferred error-control
coding procedures in a wide range of applications, such as
ADSL, digital cellular phones, storage devices, and deep-space
communications. Their popularity originates from their strong
capability to correct both random and burst errors.
The current trend for improving DSP-processing speed is to
place multiple processor units on a single chip with an
architecture that supports parallel execution. The StarCore
SC140 family of DSPs exemplifies this trend. It has four data-
arithmetic units (DALUs) and two address-generation units
(AGUs). Code implementation for these processors should
capitalize on their capabilities. This document describes the
implementation of the Reed-Solomon encoder and decoder on
the SC140 core. The document begins with a basic theoretical
background on the Reed-Solomon algorithm and then discusses
the implementation of the encoder and decoder. Little or no
background on the subject is required.
CONTENTS
1
2
2.1
2.2
2.3
Basics of Forward Error Correction (FEC) .............2
Theory..................................................................... 3
Galois Fields ........................................................... 3
Reed-Solomon Codes ..............................................6
Error-Correcting Performance of
Reed-Solomon Codes ..............................................9
SC140 Core Overview ..........................................10
Implementation on the SC140 Core.......................12
Polynomial Evaluation Over GF(256).................. 13
MAC Instructions Over Galois Fields ..................14
Look-up Tables .....................................................14
Lowest Cycle Count Limit for Polynomial
Evaluation .............................................................15
Cycle Count of the Reed-Solomon Routines ........16
Results................................................................... 17
Summary............................................................... 19
References .............................................................19
3
4
4.1
4.2
4.3
4.4
4.5
5
6
7
Reed Solomon Encoder/Decoder on
the StarCore SC140/SC1400 Cores,
With Extended Examples
By Jasmin Oz and Assaf Naor
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