标签: numbers

RSLogix500programtosortupto255numbersfromsmallest

蓝牙开发必备"bluetoothassingednumb...,bluetoothassignednumbers(全）……

DSPapplicationsareusuallyprogrammedinthesamelanguagesasotherscienceandengineeringtasks,suchas:C,BASICandassembly.ThepowerandversatilityofCmakesitthelanguageofchoiceforcomputerscientistsandotherprofessionalprogrammers.Ontheotherhand,thesimplicityofBASICmakesitidealforscientistsandengineerswhoonlyoccasionallyvisittheprogrammingworld.Regardlessofthelanguageyouuse,mostoftheimportantDSPsoftwareissuesareburiedfarbelowintherealmofwhirlingonesandzeros.Thisincludessuchtopicsas:hownumbersarerepresentedbybitpatterns,round-offerrorincomputerarithmetic,thecomputationalspeedofdifferenttypesofprocessors,etc.Thischapterisaboutthethingsyoucandoatthehighleveltoavoidbeingtrampledbythelowlevelinternalworkingsofyourcomputer.CHAPTERDSPSoftware4DSPapplicationsareusuallyprogrammedinthesamelanguagesasotherscienceandengineeringtasks,suchas:C,BASICandassembly.ThepowerandversatilityofCmakesitthelanguageofchoiceforcomputerscientistsandotherprofessionalprogrammers.Ontheotherhand,thesimplicityofBASICmakesitidealforscientistsandengineerswhoonlyoccasionallyvisittheprogrammingworld.Regardlessofthelanguageyouuse,mostoftheimportantDSPsoftwareissuesareburiedfarbelowintherealmofwhirlingonesandzeros.Thisincludessuchtopicsas:hownumbersarerepresentedbybitpatterns,round-offerrorincomputerarithmetic,thecomputationalspeedofdifferenttypesofprocessors,etc.Thischapteri……

Complexnumbersareanextensionoftheordinarynumbersusedineverydaymath.Theyhavetheuniquepropertyofrepresentingandmanipulatingtwovariablesasasinglequantity.ThisfitsverynaturallywithFourieranalysis,wherethefrequencydomainiscomposedoftwosignals,therealandtheimaginaryparts.ComplexnumbersshortentheequationsusedinDSP,andenabletechniquesthataredifficultorimpossiblewithrealnumbersalone.Forinstance,theFastFourierTransformisbasedoncomplexnumbers.Unfortunately,complextechniquesareverymathematical,anditrequiresagreatdealofstudyandpracticetousethemeffectively.ManyscientistsandengineersregardcomplextechniquesasthedividinglinebetweenDSPasatool,andDSPasacareer.Inthischapter,welookatthemathematicsofcomplexnumbers,andelementarywaysofusingtheminscienceandengineering.Thefollowingthreechaptersdiscussimportanttechniquesbasedoncomplexnumbers:thecomplexFouriertransform,theLaplacetransform,andthez-transform.ThesecomplextransformsaretheheartoftheoreticalDSP.Getready,herecomesthemath!CHAPTERComplexNumbers30Complexnumbersareanextensionoftheordinarynumbersusedineverydaymath.Theyhavetheuniquepropertyofrepresentingandmanipulatingtwovariablesasasinglequantity.ThisfitsverynaturallywithFourieranalysis,wherethefrequencydomainiscomposedoftwosignals,therealandtheimaginaryparts.ComplexnumbersshortentheequationsusedinDSP,andenabletechniquesthataredifficultorimpossiblewithrealnumbersalone.Forinstance,theFastFourierTransformisbasedoncomplexnumbers.Unfortunately,complextechniquesareverymathematical,anditrequiresagreatdealofstudyandpracticetousethemeffectively.Manyscientistsandengineersregardcomplextechniquesasthedividinglineb……

Abstract:SeveralapplicationsusetheMaximSHAiButton®tokensforeCash,vending,farecollection,anduserauthentication.Theyrequiretheuseofsecretstorecognizeauthentictokensandtosecuredataandmonetaryvaluesagainsttampering.Thesecurityofanentirecryptographicsystemrestswithitsabilitytoproperlygenerateandprotectitssecretsandchallenges.Thisapplicationnotedescribesmethodstogenerateworld-classcryptographicsecretsandchallenges.Italsodescribesthedevicesthatcanholdthosevalueswheretheyaresafefromattack,anddescribesschemeswheresecretsneverleavetheprotectedsiliconenvironmentatanytimeandareneversubjecttocompromise.Maxim>AppNotes>1-WireDevicesiButtonSecurityandAuthenticationKeywords:SHAiButton,SHA-1,secret,MAC,challenge,authentication,ecash,entropy,randomnumbers,cryptography,digitalsignatureMar08,2002APPLICATIONNOTE152SHAiButtonSecretsandChallengesAbstract:SeveralapplicationsusetheMaximSHAiButtontokensforeCash,vending,farecollection,anduserauthentication.Theyrequiretheuseofsecretstorecognizeauthentictokensandtosecuredataandmonetaryvaluesagainsttampering.Thesecurityofanentirecryptographicsystemrestswithitsabilitytoproperlygenerateandprotectitssecretsandchallenges.Thisapplicationnotedescribesmethodstogenerateworld-classcryptographicsecretsandchallenges.Italsodescribesthedevicesthatcan……

Abstract:ThisdocumentshowshowMaxim'sDS1963SSHAiButton®canbeusedwithsmallmicrocontrollerstoprovidestrongencryptionandauthenticationofcontrolandstatusmessages,telemetry,orsensitiveprocesscontrolinformation.Forlowcostandlowoverhead,itprovidesnonvolatilememory,securesecretstorage,secretsharingandrotation,fastSHA-1padgeneration,andagloballyuniqueserialnumber.Asimplemicrocontrollerneedsonlyprovideasingleportpinandafewdozenlinesofcodetoattainqualitycryptographicsecurity.Maxim>AppNotes>1-WireDevicesiButtonSecurityandAuthenticationKeywords:cryptography,encryption,SHA,SHA-1,microcontroller,smallmessage,MAC,hash,one-way,authentication,security,randomFeb04,2002number,randomnumbers,pad,secret,coprocessor,rotation,DS1963S,DS1961S,DS2432APPLICATIONNOTE150SmallMessageEncryptionusingSHADevicesAbstract:ThisdocumentshowshowMaxim'sDS1963SSHAiButtoncanbeusedwithsmallmicrocontrollerstoprovidestrongencryptionandauthenticationofcontrolandstatusmessages,telemetry,orsensitiveprocesscontrolinformation.Forlowcostandlowoverhead,itprovidesnonvolatilememory,securesecretstorage,secretsharingandrotation,fastSHA-1padgeneration,andagloballyuniqueserialnumber.Asimplemic……