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AN2407

更新时间： 2024-11-29 03:18:47

品牌	Logo	应用领域
飞思卡尔 - FREESCALE		解码器编码器
页数	文件大小	规格书
48页	371K
描述
Reed Solomon Encoder/Decoder on the StarCore SC140/SC1400 Cores, With Extended Examples

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AN2407 数据手册

AN2407

Rev. 1, 12/2004

Freescale Semiconductor

Application Note

Reed Solomon Encoder/Decoder on

the StarCore™ SC140/SC1400 Cores,

With Extended Examples

By Jasmin Oz and Assaf Naor

CONTENTS

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.

Basics of Forward Error Correction (FEC) .............2

Theory ..................................................................... 3

2.1 Galois Fields ........................................................... 3

2.2 Reed-Solomon Codes ..............................................6

2.3 Error-Correcting Performance of

Reed-Solomon Codes ..............................................9

SC140 Core Overview ..........................................10

Implementation on the SC140 Core.......................12

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.

4.1 Polynomial Evaluation Over GF(256) .................. 13

4.2 MAC Instructions Over Galois Fields ..................14

4.3 Look-up Tables .....................................................14

4.4 Lowest Cycle Count Limit for Polynomial

Evaluation .............................................................15

4.5 Cycle Count of the Reed-Solomon Routines ........16

Results................................................................... 17

Summary ............................................................... 19

References .............................................................19

12 3 4 5 6 7...48

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与AN2407相关器件

型号	品牌	获取价格	描述	数据表
AN2407FHP	PANASONIC	获取价格	Consumer Circuit, BICMOS, PQFP80, 12 X 12 MM, PLASTIC, QFH-80
AN240P	PANASONIC	获取价格	Consumer Circuit, PDIP14, DIL-14
AN241	SILICON	获取价格	2.4 GHZ ZIGBEE⑩NETWORK APPLICATION INTERFACE
AN2410S	ETC	获取价格	Video Camera Circuit
AN-242	NSC	获取价格	Applying a New Precision Op Amp
AN2441S	ETC	获取价格	Color Encoder Circuit
AN2450000707051B	ETC	获取价格	2.45 GHz ISM-band antenna for Bluetooth and WLAN IEEE 802.11b
AN2450000707051F	ETC	获取价格	2.45 GHz ISM-band antenna for Bluetooth and WLAN IEEE 802.11b
AN2450000707051K	ETC	获取价格	2.45 GHz ISM-band antenna for Bluetooth and WLAN IEEE 802.11b
AN2450000707054B	ETC	获取价格	2.45 GHz ISM-band antenna for Bluetooth and WLAN IEEE 802.11b

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