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1、Binary-InputRSEncoderTheBinary-InputRSEncoderblockcreatesaReed-SolomoncodewithmessagelengthKandcodewordlengthN.YouspecifybothNandKdirectlyinthedialogbox.ThesymbolsforthecodearebinarysequencesoflengthM,correspondingtoelementsoftheGaloisfieldGF(2M),wherethefirstbitineachsequenceisthemostsignificant
2、bit.RestrictionsonMandNaregiveninthesectionRestrictionsontheMandtheCodewordLengthNbelow.ThedifferenceN-Kmustbeaneveninteger.Theinputandoutputarebinary-valuedsignalsthatrepresentmessagesandcodewords,respectively.Theinputmustbeaframe-basedcolumnvectorwhoselengthisanintegermultipleofM*K.Formoreinfor
3、mationonrepresentingdataforReed-Solomoncodes,seethesectionIntegerFormat(Reed-Solomononly)."ThedefaultvalueofMisthesmallestintegerthatisgreaterthanorequaltolog2(N+1),thatis,ceil(log2(N+1)).IfNislessthan2M-1,theblockusesashortenedReed-Solomoncode.EachM*KinputbitsrepresentKintegersbetween0and2M-1.Si
4、milarly,eachM*NoutputbitsrepresentNintegersbetween0and2M-1.TheseintegersinturnrepresentelementsoftheGaloisfieldGF(2M).An(N,K)Reed-Solomoncodecancorrectuptofloor((N-K)/2)symbolerrors(notbiterrors)ineachcodeword.SpecifyingthePrimitivePolynomialYoucanspecifytheprimitivepolynomialthatdefinesthefinite
5、fieldGF(2M),correspondingtotheintegersthatformmessagesandcodewords.Todoso,firstselecttheboxnexttoSpecifyprimitivepolynomial.Then,inthePrimitivepolynomialfield,enterabinaryrowvectorthatrepresentsaprimitivepolynomialoverGF(2)ofdegreeM,indescendingorderofpowers.Forexample,tospecifythepolynomial,ente
6、rthevector[1011].IfyoudonotselecttheboxnexttoSpecifyprimitivepolynomial,theblockusesthedefaultprimitivepolynomialofdegreeM=ceil(log2(N+1)).Youcandisplaythedefaultpolynomialbyenteringprimpoly(ceil(log2(N+1)))attheMATLABprompt.RestrictionsontheMandtheCodewordLengthNTherestrictionsonthedegreeMofthep
7、rimitivepolynomialandthecodewordlengthNareasfollows:IfyoudonotselecttheboxnexttoSpecifyprimitivepolynomial,Nmustlieintherangemustlieintherange.IfyoudoselecttheboxnexttoSpecifyprimitivepolynomial,NmustlieintherangeandMm
