Reed-Solomon碼在CT2中的應(yīng)用仿真

摘要
Reed—Solomon碼是根據(jù)這種碼的兩個發(fā)明入的名字Reed和Solomon命名的,它是一種具有很強(qiáng)糾錯能力的多進(jìn)制BCH碼，簡稱RS碼。對于一個M進(jìn)制RS碼，它的輸入信號和輸出信號的取值范圍都等于[0，M-1]，其中M＝2*m。RS碼的碼字長度n等于n＝M-1＝2*m—1，如果信息位的長度等于k，則監(jiān)督位的長度r＝n－k。另外，RS碼具有很強(qiáng)的糾錯能力，假設(shè)它能夠糾正t個錯，則RS碼的監(jiān)督位長度r和t之間應(yīng)該滿足關(guān)系r＝n－k＝2t，因此，RS碼的碼字長度與信息位長度之間的差值應(yīng)該是一個偶數(shù)，同時，貼的最小碼元距離d＝r十1＝2t＋l。
本文將結(jié)合CT2介紹了RS碼的應(yīng)用及其性能，同時通過RS碼在CT2中的應(yīng)用這個實(shí)例來詳細(xì)介紹MATLAB中的建模仿真工具Simulink的功能、特點(diǎn)和建模方法及其在通信仿真方面的應(yīng)用。
CT2仿真系統(tǒng)由信源、信道、信宿三個模塊組成，信源模塊有隨機(jī)整數(shù)產(chǎn)生器、RS編碼器、填充模塊、幀狀態(tài)轉(zhuǎn)換模塊以及MATLAB函數(shù)模塊組成；信道模塊采用二進(jìn)制對稱信道；信宿模塊有MATLAB函數(shù)調(diào)用模塊、幀狀態(tài)轉(zhuǎn)換模塊、填充模塊、RS解碼器模塊以及誤比特率統(tǒng)計(jì)模塊組成。

關(guān)鍵詞：RS碼；參數(shù)設(shè)置；第二代無繩電話系統(tǒng)


ABSTRACT
Reed-Solomon codes are based on the code of two inventions into naming names Reed and Solomon, which is a very strong correction of errors add more capacity BCH codes, as RS codes. M RS code for a pilot, it signals the import and export of signals Quzhi scope to [0,M-1] which M=2*m. RS code length n is the numeral n=M-1=2*m-1, if k is the length information spaces, the length of supervision spaces r=n-k. In addition, RS code is highly rectification capacity, assuming it can correct a wrong t, RS codes supervision spaces length r and t should satisfy relations between r=n-k=2t, RS code word length of the code and information spaces between the length of the margin should be an even-numbered, and with the smallest distance codes million = r+1＝2t＋l.
The RS codes will be introduced in conjunction with CT2 applications and their performance, and through the RS code in the application of the CT2 examples to detail the modelling simulation tools MATLAB Simulink functions, features and modelling methods and their applications in the communications revolution.
CT2 simulation system by the letter sources, routes, letter places three modules, letter random integer generated by a source module, RS coding devices, filling module, conversion modules, as well as pictures of MATLAB function modules; Access module using binary system symmetrical corridors; MATLAB function modules are available places letter modules, pictures of conversion modules, filling module, RS decoder modules and mistakenly spaces rate statistics modules.

Key Words:
RS codes; Parameters set；Second generation cordless telephone system

參考文獻(xiàn)
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2 吳大正等. MATLAB及在電子信息課程中的應(yīng)用.北京：電子工業(yè)出版社，2003.
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