Instrumentação Biomédica
Transcrição
Instrumentação Biomédica
Instrumentação Biomédica Sensores e Transdutores Sensor: conversor de energia •! Princípios de Funcionamento de Sensores e Transdutores Transdutor: converte um sinal de uma forma física para um sinal correspondente de outra forma física. -! conversor de energia -! as quantidades de entrada e saída não são do mesmo tipo •!Exemplos •! Eletromiografia LabVIEW estímulo transdutor sinal (energia) entrada resposta sinal (energia) saída Profa. Léia Bernardi Bagesteiro (CECS) E-mail: [email protected] Princípios Físicos dos Transdutores Princípios Físicos dos Transdutores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xemplos de Transdutores (aceleração – vibração) *%&+,-./'( ,'$( 01-23)45'1( " 8+35#$-()#(6'3+,+'2-$#25'()#(9-2,'3()#(*45'$:;#+3( Emissor t Objeto Receptor Eco d t t1 Receptor d! ct 1 2 !"#$%&'"()*+,-.$*"/,)01-%2" Pulso !"#$%&'(")$%*+',-(.-)$%),-(-#( /-#"."-)',-+%#(%(#%)#-+%#( /-$%)."-&0$+".-#(,%(/-#"12-(/'+'('#($+3#( ,"+%14%#(,%('56#$%(,'(/-7$+-)'( ;<( !"# !"#$%&'(#"()'*+,"( -'*(./0"12$'3"0*$4( !"#$%&'"()*+,-.$*"/,)01-%2" !"#$%&'"()*+,-.$*"/,)01-%2" Exemplos de Sensores e Transdutores - Extensiometria <=( !"# !"#$%&'"()*+,-.$*"/,)01-%2" Emissor !"#$%&'"()*+,-.$*"/,)01-%2" d !"# 2 Exemplos de Sensores e Transdutores !"#$%&'()*#)+%&,-./0#()) ) !)12,3-4%,')!"5#3(,'$652,-') ! 72.3(*85'2)*#)+-#./9') " :#*#;(#).)<'2/.)#"#2-,*.)('=2#)8$.)$.((.)>8.3*').-#.*.) !"#$%&'"()*+,-.$*"/,)01-%2" " !"#$%&'"()*+,-.$*"/,)01-%2" ! Cânula nasal-oral # Acelerômetro na região abdominal Condicionamento do Sinal Conversor A/D PC Tratamento e apresentação do sinal no LabVIEW !"# ?@) Variáveis de Medida Referências Bibliográficas 1.! Espaciais 2.! Tempo e Freqüência 3.! Mecânicas: Sólidos * Instrumentação e Fundamentos de Medidas. V.1 (e V. 2). Balbinot e Brusamarello. LTC. 2006 e 2007. 4.! Mecânicas: Fluidos 5.! Mecânicas: Térmicas 6.! Eletromagnéticas 7.! Óticas •! Measurement, Instrumentation and Sensors Handbook. J.G.Webster (Ed.) - CRC Press. 2000. 8.! Radiação 9.! Químicas 10.!Biomédicas Modalidades Sensoriais Fundamentos sobre Receptores e Sensores Humanos •! Sentidos Principais –! –! –! –! –! olhos (visão) língua (paladar) ouvidos (audição) nariz (olfato) e pele (tato) •! Somatosensorial (estímulo dentro ou na superficie do corpo) –! –! –! –! –! Toque Pressão Dor Temperatura Posição & Movimento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letromiografia (EMG) Características de sinais do CH 039&51! '()! 87/5<8! -34! .%3.73/,-/78! %3! <,-./0.-1! C578/0%38! -34! 8%15L !"#$%&'(')*+,-./+0-1'234'0/50 6778$'9-:.-;"-+<=/>*?-&'7)$8 /0($%90#:(%@AB /0%38D 2/!08!8/,%391;!,7.%::73474!/%!8/54;!/=7!8.073/0&0.!<5E10.-/0%38!-34!/7B/E%%F8!,71-/74!/%!-!.7,/-03!/%<0.D!?=08 E%%F17/!.-33%/!,7&17./!/=7!N-,07/;!%&!40&&7,73/!N07A8K!%<030%38!-34!8/,-/79078!/=-/!=-N7!/%!E7!.%38047,74!&%,!•! monitoramento da atividade elétrica muscular $-45%"4)63-*4()-"#).)(*'4-*%.*789: •! estudo da função muscular através do exame dos sinais elétricos musculares .(/*0*%*"0$"/$123 (Basmajian and De Luca 1985) @73-(#$%2;%1$/50;! G'()M!informações 08! -3! 7B<7,0:73/-1! /7.=30C57! .%3.7,374! A0/=! /=7! 47N71%<:73/K! ,7.%,4039! -34 •! fornece relevantes sobre: -3-1;808! %&! :;%717./,0.! 8093-18D! (;%717./,0.! 8093-18! -,7! &%,:74! E;! <=;80%1%90.-1! 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uído - Interferência no sinal ?4(2()'3* 5(2)'3 <,%<7,! 5'#$3()2* 64-7%-)89H! 23! %,47,! /%! -..5,-/71; W/,-381-/7X!/=7!.%:<17/7!&,7Y573.;!8<7./,5:!%&!-!8093-1B /=7! 8-:<1039! ,-/7! -/!Sinal Z=0.=!de /=7!EMG: "EF! @%-,4! 47/7,:0378 ')'3"2 •! Sinais de EMG são muito pequenos (baixa amplitude) •! Ruído Externo /=7!C%1/-97!%&!/=7!03<5/!8093-1!:58/!@7!-/!17-8/!/Z0.7!-8 10-250Hz =09=!-8!/=7!:-J0:5:!7J<7./74!&,7Y573.;!%&!/=7!8093-1H I=08!,71-/0%38=0<!08!478.,0@74!@;!/=7!1'#$3()2*&,-"4-# /%%!1%Z!,7851/8! ()*'3('1()2*-++-8&1* D\09H!>]GH!!\%,!'() Amostragem: -1:%8/!-11!%&!/=7!8093-1!<%Z7,!08!1%.-/74!@7/Z773!>Q!-34 –! Ruído Eletrônico @<*=> •! Equipamento de medição/gravação 5(2)'3* E#$3(&%F- Condicionador (10-500Hz) -! 8093-1! -/! -! &,7Y573.;! Z=0.=! 08 "+* :97%(1&[! 8-:<1039! –! Ruído Ambiente •! TV, radio, luzes, rede elétrica –! Artefato de movimento •! Movimento dos eletrodos e/ou cabos ;<*=> OMQ! ^A! -34! 8.073/0&0.! ,7.%::734-/0%38! D_'`2"(B >> 1000Hz >> 1500Hz •! •! 2_'6G!,7Y50,7!-3!-:<10&07,!@-34!87//039!%&!>Q!/%!MQQ!^AH I=08! Z%514! ,7851/! 03! -! 8-:<1039! &,7Y573.;! %&! -/! 17-8/ Batimentos cardíacos Sinais de músculos vizinhos (crosstalk) ;<<<* =>! D4%5@17! @-34! %&! '()G! %,! 7C73! >MQQ! ^A! /% A*=> -C%04!8093-1!1%88H B(#-**CD !"#$%&'()*+(+,,+-.(/,(012(34567"8#(,9+:;+8-<(/8(4(="#".">+= 3"#847$()//(7/?(,9+:;+8-"+3(@7/?+9(.94-+3A(9+3;7.("8(3"#8","-48. 7/33(/,(3"#847("8,/954."/8 Tipos de EMG eletrodos Tipos de EMG eletrodos !"#$%&'()*'&+#,-'(!'*'&+.,/ Eletrodos de Superfície !"#$%&'()*+,%,-,+.(/0,& @57!/%!/=70,!3%3A!03B-80B7!.=-,-./7,!03!:%8/!.-878!85,&-.7!717./,%478!-,7!5874!03!C03780%1%90.-1!8/54078D!#7A !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! "#$!%&!'()!*!"!+,-./0.-1!23/,%45./0%3!/%!603780%1%90.-1!'17./,%:;%9,-<=; +-97!>? 80478! /=7! E737&0/! %&! 7-8;! =-341039F! /=70,! :-03! 10:0/-/0%3! 08! /=-/! %31;! 85,&-.7! :58.178! .-3! E7! 47/7./74D! G%, •! Surperfície •! Agulha •! 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mplitude e componente de Frequência do Sinal &-./8D!K=7!1-//7,!%378!-,7!/;<0.-1!-34!53-B%04-E17!J0/=03!<71B0.!&1%%,!'()8!E7.-587!/=7,7!08!3%!&0W74!.%337.A Preparação Pele /0%3!E7/J773!/=7!717./,%47!47/7./0%3!-,7-!-34!/=7!:58.17!85,&-.7D •! Redução de artefatos da pele Sinal Amplitude (mV) EMG (agulha ou fio) 0.05 - 5 EMG (surperfície) 0.01 - 5 Limite Alto Pico componente Surperfície 340 Hz 115 Hz Fio 75 – 102 Hz 650 Hz –! Óleo, pêlos, sujeira, células mortas, suor •! Redução do sinal de EMG !"#$;J'(=7"#"/3+(K*77L(27.M*1(0.7(N3#"/3+(9+*0-D(3/8 3/3+(97"#O-D(322+",3-"./1 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! "#$!%&!'()!*!"!+,-./0.-1!23/,%45./0%3!/%!603780%1%90.-1!'17./,%:;%9,-<=; +-97!>? •! Limpeza com álcool •! Secagem •! Aplicação dos eletrodos –! Na direção das fibras musculares –! Sobre a “barriga” do músculo (ver posição padrão) 5 Posicionamento Eletrodos Posicionamento Eletrodos •! Posição dos eletrodos –! Alinhados com as fibras musculares –! Na linha média do músculo •! Nem sobre, nem perto dos locais de inserção do tendão ou zona de inervação (ponto motor) –! Estimulação elétrica neste ponto resulta em contração muscular –! Potenciais de Ação movimentam-se “estranhamente” e aquisição de EMG é afetada •! Eletrodo de Referência - “aterramento” De Luca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osicionamento Eletrodos *1-&'31+&'/1. /"+0($&'/1. !"#$%&'!()'*+,#(% !"#$%&'()*+ Posicionamento Eletrodos -",.($&'-/0 2/3&'4/,&'-/0 C,%3/-108 R:-117,!&-.7!!:58.178 R:-117,!37.A!:58.178 +7./%,-108!:03%, (-887/7, Q77<!37.M!:58.178 G7.M!7P/738%,8 C,-<7O058!<B!478.73473O R/7,3%.1704%:-8/%04758 S5<,-8<03-/58 J71/%04758!<D!-.,%:0-108 [email protected]<51-,08 C,-<7O058!<B!/,-38K7,858 I=%:@%04758 C7,78!:-A%,!T!:03%, Q71/%04758!<B!8.-<51-,08 23&,-8<03-/58 C=%,-.0.!7,7./%,!8<03-7 C,-<7O058!<B!-8.73473O J71/%04758!<D!.1-L0.51-,08 +7./%,-108!:-T%, #0.7<8!@,-.=00 C,0.7<8!@,-.=00!.B!:74B C,0.7<8!@,-.=00!F.B!1%39BT1-/BL R7,,-/58!-3/7,0%, J0-<=,-9:R:-117,!&%,7-,:!!:58.178 V7./58!-@4%:0308 #,-.=0%,-40-108 C17U%,!.-,<5:!,-40-108 C17U%,!.-,<5:!513-,08 N,-38L7,858!-@4D 210-.58 +8%-8!:-T%, W@10X558!7U/7,358!-@4%:0308 23/7,358!G!N,-38L7,858!-@4D N738%,!&-8.0-!1-/-7 23/7,%88758 R-/0880:58!4%,80 Q77<!879:73/-1!7,7./%,!8<03-7 ',7./%,!8<03-7!F/=%,-.0.!,790%3L ',7./%,!8<03-7!F15:@-,!,790%3L U5-4,-/58!15:@%,5: S:-117,!&%,7-,:!!7P/738%,8 Q77<!:51/0&00 S:-117,!&%,.7-,:!7P/738%,8 (51/0&04558!15:@-,!,790%3 )15/-758!:74058 Q77<!=0<!:58.178 )15/-758!:-P0:58 "445./%,8!B8717./0L7I Y-8/58!03/7,:74058 "445./%,78 V7./58!&7:%,08 #0.7<8!&7:%,08 Y-8/58!1-/7,-108 S7:0/73403%858T:7:@,-3%858 Y-8/58!:740-108 )-8/,%.37:058!:74B +7,%3758!1%3958 )-8/,%.7:058!1-/B N0@0-108!-3/7,0%, C=03!T!477<!8=-3M!:58.178 N=03!G!477<!8=-3A!:58.178 S%1758 R:-117,!&%%/!:58.178 !"#$%&'(%)*+,-."/+0%1-2","-*2%-3%2404/,45%404/,6-54%2",42%7%5-62+0%8"49$%:;4%043,%2",42%"*5"/+,4%5441%.<2/042%+*5%1-2","-*2%3-6%3"*4%9"64%404/,6-542 %,;4%6"#;,%2"54%3-6%2<63+/4%.<2/042%+*5%404/,6-542 ,*-*#*./*'*&*/0#"1*$ !"#$%&'(%)*+,-."/+0%1-2","-*2%-3%2404/,45%404/,6-54%2",42%7%36-*,+0%8"49$%:;4%043,%2",42%"*5"/+,4%5441%.<2/042%+*5%1-2","-*2%3-6%3"*4%9"64%404/,6-542 %,;4%6"#;,%2"54%3-6%2<63+/4%.<2/042%+*5%404/,6-542 "/!17-8/!%37!375/,-1!,7&7,73.7!717./,%47!<7,!85@A7./!=-8! /%!@7!<%80/0%374B!!C;<0.-11;!-3!717./,0.-11;!53-&D &7./74!@5/!37-,@;!-,7-!08!8717./74E!85.=!-8!A%03/8E!@%3;!-,7-E!&,%3/-1!=7-4E!<,%.78858!8<03%858E!.=,08/-!010D !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! "#$!%&!'()!*!"!+,-./0.-1!23/,%45./0%3!/%!603780%1%90.-1!'17./,%:;%9,-<=; +-97!>? -.-E! /0@0-! @%37! 7/.B! ! C=7! 1-/78/! -:<10&07,! /7.=3%1%9;! FGHI"JHG! -./0K7! 8;8/7:8L! 37748! 3%! 8<7.0-1! -,7@5/!%31;!-!1%.-/0%3!37-,@;!/=7!&0,8/!717./,%47!80/7B!I7:7:@7,!/%!<,7<-,7!/=7!8M03!&%,!/=7!,7&7,73.7!717.D /,%47!/%%!-34!587!717./,%47!40-:7/7,8!%&!-/!17-8/!N!.:B Análise de EMG !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! "#$!%&!'()!*!"!+,-./0.-1!23/,%45./0%3!/%!603780%1%90.-1!'17./,%:;%9,-<=; +-97!>? Posicionamento Eletrodos •! Qual a informação importante para o seu estudo? –! Revisão da literatura para verificar como o dado foi analisado em estudos similares •! Normalização –! Contração Voluntária Máxima (CVM) •! Pode mudar ao longo do dia! –! Atividade específica •! Dados de frequência –! Pesquisa de fadiga •! “Root Mean Square” (RMS) do sinal RMS = 1 N 2 " xi N i=1 ! 6 2 -8;!-34!C50.D!.=7.D!%&!/=7!'()!&,7C573.;!408/,0E5/0%3F!)0G73!/=7 &,%:!HI!JK!=09=L<-88!5<!/%!-/!17-8/!MII!JK!1%B!<-88!NO'P2"(Q <%B7,!08!1%.-/74!E7/B773!HI!-34!>MI!JKF!!@=08!<%B7,!408/,0E5/0%3 Frequência de amostragem 38&%,:-/0%3V! NUU@R! -34! 9,-<=0.-11;! <,7873/74! -8! -! 3/4%&' -/5*. .=!8=%B8!/=7!&,7C573.;!<%B7,!408/,0E5/0%3!NWL-X08R!03!,-/0%!/%!/=7 •! sinal de EMG com componentes de frequências até ~ 500Hz •! portanto, frequência de amostragem mínima do sinal de EMG superficial na ordem de 1000 Hz (ou mais) ./,5:! .-3 98! -34! /=7 8.17! /;<7Q Filtros Filtros analógicos: ! Passa-Baixa (fc = 500Hz) ! Passa-Alta (fc < 10Hz para a análise espectral e fc 10-20Hz para a análise de movimento Filtro passa-banda de 20-450Hz, para a aquisição do completo espectro do sinal EMG RF! @%! <7,L /%!.%3/,-./ ,7808/-3.7 :!.%3/,-.L ()! <%,/0%3F 7F9F! H! 87.L 3G78/09-/7 !"#$%&'(%)*+%,-,./%0-1+2%30+4,256%-7%.%3527.4+%89:%2+4-2;"<#( 6-3,%-7%,*+%3"#<./%0-1+2%"3%/-4.,+;%=+,1++<%'>%.<;%?@>%AB$ IJKR 74!E7/B773!MI!-34!aI!JK 7-878!-34!,7-.=78!K7,%!E7/B773!>II!-34!>MI!JK Análise do sinal eletromiográfico 7!G080E17Q!78<7.0-11;!%5/8047!/=7!E-34L,-397 080E17!-/!MI!N'bR!%,!]I!NbO"R!JKF •! Sinal EMG: frequência e amplitude !<%B7,!=5:!.%3/-:03-/039!/=7!'()!E-871037!NU09F!?>R!-34!90G78 •! Análise no domínio temporal (indicador da G0/;!B=0.=!:-;!-<<7-,!0&!-!85E[7./!08!3%/!-E17!/%!,71-X!-!:58.17F magnitude da atividade muscular, produzida predominantemente por aumentos na atividade das unidades motoras e em sua taxa de disparo) •! Análise no domínio de frequências (determinação do espectro de frequências através da transformada de Fourier - qualquer sinal contínuo real pode ser expresso em uma combinação de senos e cossenos) !"#$%&?(%)*+%,-,./%0-1+2%30+4,256%-7 .%*56%4-<,.6"<.,+;%89:%2+4-2;"<#( )*+%*"#*%0-1+2%0+.C%.,%@>%AB ";+<,"7"+3%,*+%<-"3+%4-<,.6"<.,"-<%-7 ,*+%2+4-2;"<#D%,E0"4.//E%;5+%,-%"<F 42+.3+;%+/+4,2"4./%#2-5<;%<-"3+%-7 ,*+%0-1+2%<+,%1",*"<%,*+%3+/+4,+; 2--6%G./3-%3++%7"#$%&&H !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 7./,%:;%9,-<=; +-97!>? Processamento do sinal de EMG •! •! Processamento do sinal de EMG Retificação de onda completa do sinal EMG Filtro passa-baixa com tempo determinado? 7 Análise no domínio temporal: Retificação Análise no domínio temporal •!Retificação •!Envoltório linear •!Root Mean Square (RMS) •!Integração •! A retificação consiste em tomar o valor absoluto do sinal EMG, ou seja, rebater as fases negativas (full-wave) ou remover os valores negativos do sinal bruto (half-wave). !"#$%&'()*+,--"$#'.'/,+0"1"+%0"*$ •! Pela retificação em full-wave utiliza-se o valor absoluto do sinal !"#"$%&'()**"#+, EMG, retendo sua energia. @=7!,-A!'()!,7.%,4039!-1,7-4;!.%3/-038!B7,;!0:<%,/-3/!03&%,:-/0%3!-34!:-;!87,B7!-8!-!&0,8/!%CD7./0B7!03&%,E :-/0%3!-34!4%.5:73/-/0%3!%&!/=7!:58.17!0337,B-/0%3F!@=7!G%&&E%3H!-34!G:%,7E1788H!.=-,-./7,08/0.8!-34!%/=7, •! Avalia o nível de atividade do sinal EMG pelo RMS - Esta forma I5-10/-/0B7!-88788:73/8!.-3!40,7./1;!C7!47,0B74!-34!90B7!-3!0:<%,/-3/!&0,8/!5347,8/-34039!%&!/=7!375,%:58E de processamento não requer retificação, pois a amplitude do .51-,!.%3/,%1!A0/=03!/78/8!-34!7J7,.0878F!2&!-!I5-3/0/-/0B7!-:<10/547!-3-1;808!08!/-,97/74!03!:%8/!.-878!8%:7 '()!8<7.0&0.!8093-1!<,%.788039!8/7<8!-,7!-<<1074!/%!03.,7-87!/=7!,710-C010/;!-34!B-1040/;!%&!&0340398F!#;!8.073E sinal EMG é elevada ao quadrado. /0&0.!,7.%::734-/0%3!K2L'6M!L'N2"(O!/=7!'()!,7.%,4039!8=%514!3%/!587!-3;!=-,4A-,7!&01/7,8!K7F9F!3%/.=!&01E /7,8OM!7J.7</!/=7!-:<10&07,!C-34<-88!KPQ!*!RQQ!STO!&01/7,8!/=-/!-,7!377474!/%!-B%04!-3/0E-10-8039!7&&7./8!A0/=03 8-:<1039F! "/! C78/! .-87M! /=7! <%8/! =%.! <,%.788039! .-3! C7! ,7:%B74! -/! -3;! /0:7! /%! ,78/%,7! /=7! ,-A! 4-/-! 87/F L%:7!%&!/=7!A711!78/-C108=74!<,%.788039!:7/=%48!-,7!03/,%45.74!03!/=7!&%11%A039!.=-</7,8F -.&&'/%0"'$"(+121(%+1)# 23!-!&0,8/!8/7<!-11!379-/0B7!-:<10/5478!-,7!.%3B7,/74!/%!<%80/0B7!-:<10/5478M!/=7!379-/0B7!8<0U78!-,7!G:%B74 5<H!/%!<158!%,!,7&17./74!C;!/=7!C-871037!KV09F!WXOF!#780478!7-807,!,7-4039!/=7!:-03!7&&7./!08!/=-/!8/-34-,4!-:E <10/547!<-,-:7/7,8!10U7!:7-3M!<7-UY:-J!B-157!-34!-,7-!.-3!C7!-<<1074!/%!/=7!.5,B7!K,-A!'()!=-8!-!:7-3 Análise no domínio temporal: Retificação B-157!%&!T7,%OF Retificação de onda completa !"#$%&'(%)*+%,-.%,/01,2"3#%."45%)6+%78"9/7 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! "#$!%&!'()!*!"!+,-./0.-1!23/,%45./0%3!/%!603780%1%90.-1!'17./,%:;%9,-<=; +-97!>? Análise no domínio temporal: Envoltório Linear Análise no domínio temporal: Envoltório Linear •! Quando o nível de atividade está sendo investigado, o sinal retificado pode ser alisado por um filtro passa-baixa para suprimir flutuações de alta frequência, permitindo uma avaliação clara da amplitude do sinal EMG (envoltório linear). •! O envoltório linear é um tipo de média móvel que indica a magnitude do sinal EMG. A exata seleção das frequências de corte são arbitrárias e dependem de sua aplicação, embora existam recomendações entre 3 a 50 Hz (ROBERTSON, 2004). •! Em atividades de curta duração, geralmente usa-se frequências de corte em torno de 10Hz, embora a resolução das características das altas frequências do sinal seja atenuada. >>> Amplitude do sinal 8 Análise no domínio temporal: RMS Análise no domínio temporal: RMS •! Associar a técnica de RMS a um intervalo de tempo determinado - aplicar o RMS móvel para observar as alterações do sinal EMG em função do tempo. •! Para se criar um RMS móvel a janela no tempo é movida ao longo do sinal adquirido e o RMS é calculado. Esta janela pode ser sobreposta ou não. A sobreposição permite uma grande continuidade do sinal EMG. •! A janela típica para o RMS móvel é de 100 a 200ms, que se correlaciona com o tempo de resposta muscular (DE LUCA, 1997) •! A recomendação feita pelo SENIAM (European Committee “Surface EMG for the Non-Invasive Assessment of Muscles” - HERMENS et al., 2000) para a determinação das janelas (para contrações não dinâmicas) é definida pela ativação muscular associada pelo percentual da contração voluntária máxima (CVM): • Sinais maiores que 50% CVM – janela de 0,25 a 0,5s. • Sinais menores que 50% CVM - janela de 1 a 2s. Análise no domínio temporal: Integração Análise no domínio temporal: Integração •! Um integrador é um equipamento (ou algoritmo computacional) que soma a atividade em um período de tempo. •! Caso o equipamento não seja ajustado à zero (reset), os totais continuam a se acumular. •! O sinal EMG integrado (IEMG) é também utilizado para avaliar o nível de atividade. O IEMG é a área sobre a curva retificada. •! O IEMG não discrimina ruído ou sinal EMG, e a retificação que antecede a integração distorce a informação. Análise no domínio temporal: Normalização Análise no domínio temporal: Normalização 1. Contração Voluntária Máxima Isométrica (CVMI) – utiliza-se como referência para normalização o maior valor encontrado em uma contração Para se analisar e comparar sinais EMGs de diferentes isométrica máxima para o músculo em questão indivíduos, músculos ou aquisições, faz-se necessário a 2. Pico Máximo do Sinal EMG – Este valor é caracterizado pelo pico do utilização de técnicas de normalização, sendo esta uma forma sinal EMG encontrado no movimento ou ciclo estudado (método do pico de transformação dos valores absolutos da amplitude em dinâmico). 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'()*+,-%.(,& !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :#;#<2<2"#')3"#.#,<'=760#-'2,'.-'>? +-97!>? !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! -3! 7Y5-1! -:%53/ "#$!%&!'()!*!"!+,-./0.-1!23/,%45./0%3!/%!603780%1%90.-1!'17./,%:;%9,-<=; X!/%!ZXX\J!O85T Duração do movimento +-97!>? 2.0-3)4 5)*+036 7(.+4 *%0(,& 7(.+0(,&8 96.%*)*+036 ! >')16? ! >")@+*+.0? ! >A)3,+&? !/+,03)4 *6):3%5-6 ! >"B&,/+$2,0(@%0().? 12.#',3$.%024#5'6760# #%37UO79:73/8 D 8/,5./5,7 D <,%<%,/0%3 !"#$%&O(%M<4%G03G48.%01%."D4%30+D*-"P*."03%10+%+484."."032L"3.4+C*-%01 ;"114+43.%;>+*."03$%5*G<%+484."."03%"2%24#D43.4;%"3%*%G4+.*"3%*D0>3. 01%4I>*-%80+."032%*3;%.<4%D4*3%C*->4%01%4*G<%80+."03%"2%>24;%10+%.<4 *C4+*#"3#$ 89 V08/-3.7 "3917 W71%.0/;U"..71H X037-,!G%,.7 (%:73/Y?%,Q57 +,7885,7 408/,H (58.17!"./0%3 +%/073/0-18 7(.+&()/):(,%/ 2.%/6&(& 9%0%$;.0+:3%0().$<=)33+/%0(). @889 !"#$%&'(%)*+*,-."/+%/0%-+%-1*,-#*2%34,1*%5".6"+%-%."7*%+/,7-8"9*2 0,-7*%,-+#"+#%0,/7%'%./%:''; !"#$%&:(%<=-7>8*%0/,%-1*,-#*2%34,1*?@%A-?*2%/+%-%"?/B"+*."3%B+** *=.*+?"/+%C%08*="/+%?*D4*+3*%-.%E'FC?*3$%G*2H%<I)@%#,**+H./,D4* !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 23!.1030.-1!/78/039!/=7!.%7&&0.073/!%&!B-,0-3.7!.-3!7-801;!,7-.=!B-1578!%&!QGHR!O=0.=!08!3%/!-3!-A3%,:-1!&034039 1!'17./,%:;%9,-<=; +-97!>? &%,!7F9F!'()!9-0/!<-//7,38!D877!E09F!SGIF T=7!8/,-/79;!%&!-B7,-9039!08!%37!%&!/=7!:%8/!0:<%,/-3/!'()!-3-1;808!A7.-587!/=7!7387:A17!-B7,-97!.5,B78 .-3!7-801;!A7!,7<,%45.74!0&!/=7!%B7,-11!/78/039!8/-34-,40@-/0%3!08!-,,-3974!<,%<7,1;F!!"B7,-9039!=-8!-3!-440P /0%3-1!U8:%%/=039!7&&7./V!%3!/=7!'()!<-//7,3F ?=7! 0:<%,/-3/! 8/-,/039! <%03/! 08! /=7! <,%<7,! 8717.D /0%3! -34! .%:A03-/0%3! %&! :7/=%48! /=-/! .-3! -4D CD&+3@%0().$)E$% >53)D/+*?$)3$5-+.)*+.)* G++1$E)3$1(%:.)&(& )3$(*53)@+1$B.1+3&0%.1(.: 4,788!-!.7,/-03!/%<0.H!O/-,/039!&,%:!-!<,%A17:!;%5 %A87,L7!@0/=!;%5,!85AB7./8!%,!<-/073/8!%,!/=7!47D A)3*B/%0().$)E$-65)0-+&(&$ )3$+F5+,0%0(). 80,7! /%! -.=07L7! -! A7//7,! 5347,8/-34039! %&! /=7 <=;80%1%90.-1! .%340/0%38! @0/=03! -3;! -./0L0/;E! ;%5 &%,:51-/7!7P<7./-/0%38!%,!=;<%/=7808!%3!/=-/!<-,D >H3%.&/%0().?$0)$ %.%/6&(&$IB+&0().& /0.51-,! /%<0.H! M85-11;! 0/! 08! 7-8;! /%! .%3L7,/! -8D 85:</0%38!/%!.-/79%,078!%&!Q578/0%38H!23!/=7!37P/ J+/+,0().$)E$0-+$3(:-0 >&+.&)3?$8$*+0-)1 8/7<! ;%5! 3774! /%! 47.047! @=0.=! A0%:7.=-30.-1 :7/=%4!.-3!A78/!47/7./!/=7!<,%.78878!,71-/74!/% ;%5,!Q578/0%38H!?=7!8717./0%3!%&!-!.%,,7./!A0%:7D .=-30.-1!8738%,!%,!.1-88!08!L7,;!0:<%,/-3/H 21KB&0*+.0$%.1$E(.+ 0B.(.:$)E$%.%/6&(&$IB+&0().& 10 !"#$%&,(%;6.7<9"5.7%=8+29"062%.1+%9*+%4.2"2%03%>10>+1%2+6201%2+7+59"06%?"9*"6 4"0-+5*.6"5.7%-+9*0:2 'H9H! '()! .-33%/! -38@7,! =%@!8/,%39! F03! R7@/%3K! -! :58.17! 08E! -34! /=7! %/=7,! @-;! -,%534E! &%,.7! :7-85,7 .-33%/! -38@7,! 0&! -! :58.17! &0,78! .%,,7./1;H! ! G03-11;E!@0/=03! 7-.=! .-/79%,;! %&! A0%:7.=-30.-1! 8738%,8E! 87L7,- 85AD.1-8878! %&! -3-1;808! Q578/0%38! .-3! 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L-,8! <,%<7,1;! ,7G 0S0 TSU OSU "SU DEF >&//$?:+&6$'&2(/ @A/28//$9(/B+:&C GEF HEF "P4'*3P$ Q7;P "P4'*3P$$ ('3P "P9713P$$ R7QP "P*7Q+S$$ 37&;P "P:'*3P$$ Q7;P "P:'*3P$$ ('3P "P$T+1P$$ R7QP "P:(03P$$ Q'NP $M(7N+.& >CO@> >BOD> =>OA> CO>> DO= =AO>D =<O<B =>O== $!N37&*+.& ?DOBD ?COEA =EOA DO<B =>ODD =DO>A =>O?D >@O?D Padrão de /012%345%-'6('789%0::;9<8=0#:%>9#?07;%#?%@%)0>A7;1%&'6(7;6%0:%=);%)#90B#:=87%6C'8= atividade &#<;&;:=2%D8=8%6)#$6%=);%-EF%:#9&870B;G%&;8:%,-.%#?%H%;I=;:60#:%8:G%?7;I0#: >;90#G6%&;86'9;G%?#9%8%19#'>%JK%6'LM;(=6%8=%4KN%#?%=);%0:G0<0G'87%#:;%9;>;=0=0#: muscular &8I0&'&2 .%%,403-/0%3I! 803.7 "45'*6-* +&6/81/7+-* ',9%3%:0.8!:-;!3774!/%!5347,8/-34!/=7!375,%:58.51-,!47:-34!%&!-!90B73!F%,N!-./0B0/;!/%!0:<,%B7!/7.=I !:58.17!%387/! .-3 "4$5'*6-* 1/7+'(+* !.=-</7,!E=,78=%14 "4$8/.6-* 9/1:8+* 30A578!-34!.%340/0%38!/%!1%F7,!8/,788!-34!8/,-03!%3!7:<1%;778G!E=7!478093!%&!F%,N!/%%18D!87-/8!-34!%/=7, "4$5'*6-* ('6/8'(+* F%,N!8<-.7!,71-/74!.%340/0%38V47B0.78!F011!C737&0/!&,%:!/=7!-3-1;808!%&!/=7!375,%:58.51-,!7&&%,/G "4$;+./<*$94= .4$;8/54 "4$28'.+(+* /0%3! 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W7'3$V.*+3+.& 179!:58.178!03!53G -3R17!X%03/! 7J%R74 Três características que influenciam o conteúdo de frequências: •! taxa de disparo das unidades motoras (UMs) !"#$%&'()'*+,$-.&./'0'&1 •! tempo relativo de disparo dos potenciais de ação por !"#$%#"&'()*(+*&,-*+.-/%-)$0*$()&-)&1 diferentes UMs (%47,3!+$!/7.=3%1%9;!:-@78!0/!A7,;!7-8;!/%!587! %.10$%2)&3'&$4&.*152&/.032*1$6%%47!/%!-3-1;B7!-34!78/0C •!:-/7!/=7!&,7D573.;!.%3/73/8!%&!'()!8093-18E!23!-!:%471F!-!85<7,<%874!'()!8093-1!.-3!G7!.%38047,74!-8!forma dos potenciais de ação 85::-/0%3!%&!8037!H-A78!H0/=!40&&7,73/!&,7D573.;!A71%.0/;!IJ09E!KLME!!N=7!JJN!-19%,0/=:!.-3!G7!478.,0G74!-8 .4$(:&24 W7'3$V.*+3+.& " W7'3$V.*+3+.& # "4$*/1+1/1;8'&:*-* -!47.%:<%80/0%3!%&!/=7!'()!8093-1!/%!0/8!5347,1;039!80358!.%3/73/8E!!'E9E!0&!/=7!:%8/!4%:03-3/!I1-,97!-:<10C "4$*/1+&6/&7+&:*-* /547!,-397M!8037!H-A7!08!,7.%930B74!-/!O?!PBF!/=08!'()!=-8!-!1%/!%&!<%H7,!-/!/=08!&,7D573.;E!2&!/=08!@034!%& Processamento no domínio frequência: •! Transformada Rápida de Fourier (FFT) (Fast Fourier Transform) <%H7,!408/,0G5/0%3!-3-1;808!08!4%37!.%3/035%581;!%A7,!-!.7,/-03!P7,/B!,-397F!-!&,7D573.;!408/,0G5/0%3!9,-<=!%, #'+6$.).(/$I 8! DA=%@! 1%39! 4%78 7,G,7-./! /=7! <,%3-G Análise no domínio frequência 0SU E KH LK JE DH MJ NM KEE 420.8$-29'&$:;'+0&)/ !08!.,7-/74!I877!J09E!QRME •! Densidade Espectral (PSD) (Power Spectrum Density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nálise no domínio frequência: FFT e PSD !"#$%&@(%A140:1=%"**12>0-"3*%B*02235%=079%4"*1C%3,%46.<02%71#.1*-04 7-0<"4"D127%BE20*7>12767%0<=3."*"7F%G64-","=667C%"*%20-"3%-3%-91%3*713,%-91%=14-3"=%.67841%B5"=1%=079%4"*1C%"*%20/"=%79364=12%,41H"3*%=3*1 <:%0%435%<08I%/0"*%/0-"1*-$%?=0/-1=%J%21=205*%,23.%"F%/$%KL /=7!N%/-1!+%H7,!S<7./,5:!.5,A7!.-3!G7!5874 /%! 478.,0G7! &,7D573.;! .=-,-./7,08/0.8E! W0/=03 -'.=$;29'& ".@*30)<'$3*$CDEA'&0B M(7N+.& V&*/6 A/(6:+7 "'<3.*$5&'()'*+, Análise no domínio frequência: FFT e PSD -<<1074!'()C&,7D573.;!-3-1;808!/=7!:%8/!0:C <%,/-3/!<-,-:7/7,8!-,7!/=7!:7-3!-34!:740-3 &,7D573.;! -34! /=70,! /0:7! 4%:-03! .=-3978! 03 "'.*$5&'()'*+, 420.8$;29'& 858/-0374!.%3/,-./0%38!I&-/0957!8/54078ME %&'()'*+,$3*$A'&0B !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !/%!603780%1%90.-1!'17./,%:;%9,-<=; +-97!>? •! Envolve a determinação do espectro de frequências via (FFT), e após a obtenção da análise de (PSD). !"#$%&K(%L)M%7652+5/+%./,01,234%95/58,6,/7%:57,+%*2%!!;%35-31-56"*27 9-.(*!.(11'):*(.*9-.(*5%.)1 "3!-1/7,3-/0A7!/%!/=7!JJN!G-874!.-1.51-/0%38!08!/=7!80:<17!.%53/039!%&!.,%880398!/=,%59=!/=7!B7,%!1037!%&!/=7 '()!8093-1E!N=08!>'&2$?&2113*@!,-/7!08!=09=1;!.%,,71-/74!/%!/=7!JJN!G-874!:7-3X:740-3!&,7D573.;!-34!.-3 •! O PSD pode ser utilizado para calcular as frequências médias G7! 5874! -8! -3! -1/7,3-/0A7! /%! JJN! .-1.51-/0%38! H=0.=! ,7D50,74! .%38047,-G17! .-1.51-/039! /0:7! -34! +$C<%H7,E N%4-;!Y7,%!$,%88039!=-8!G7.%:7!1788!0:<%,/-3/!-34!JJN!G-874!.-1.51-/0%38!-,7!/=7!<,7&7,,74!.=%0.7E e medianas e o comprimento de banda do sinal EMG. !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! "#$!%&!'()!*!"!+,-./0.-1!23/,%45./0%3!/%!603780%1%90.-1!'17./,%:;%9,-<=; +-97!>? •! Nos sinais EMG de superfície, as frequências do espectro possuem uma média de aproximadamente 120Hz e mediana em torno de 100Hz Análise no domínio frequência: FFT e PSD Análise no domínio frequência: FFT e PSD Quando calculamos o espectro de Fourier (ou Power Spectra) de um sinal FFT caracteriza os sistemas lineares e identifica os componentes de achamos as frequências que o sinal contêm, mas não sabemos quando essas frequência formadores de uma forma de onda contínua. frequências acontecem. 11 Análise no domínio frequência: FFT Atividade Muscular: Agonista e Antagonista Análise do sinal EMG: onset Análise de sinal - EMG •! Maioria do sinal EMG concentrado na faixa entre 20 e 200 Hz •! Artefato Movimento (0-10 Hz) filtro s/ afetar o sinal desejado De Luca 1985 Filtros - EMG •! Considerndo que a densidade espectral (PDS) da EMG As frequências dos sinais de EMG desejados devem estar dentro de um intervalo onde todas frequências são linearmente influenciadas pelo ganho contêm a maioria do sinal (power) no intervalo de frequência entre 5-500 Hz nos extremos, EMG de superfície não deve ser filtrada acima de 10 Hz (low cutoff) e abaixo de 350 Hz (high cutoff). •! Sinais Intramusculares podem ser filtrados entre 10-450 Hz. 5 Hz 2000 Hz 12 &$*+&,.-.+& %! /=7! 717./,%478B! /=7! '()! 8093-1! .-3! A7! 03&1573.74! A;! 87C7,-1 7,08/0.8E!F=7;!.-3!A-80.-11;!A7!9,%5<74!03G /0$P+3@2($*+&,.-.+& %,B C0/; Q9.& KLB /% /!- <10O 74 FG$>.H#&$I2BJ=K>$L$MN+(-$0 O*-.H#$@)1*(# 87 EMG Crosstalk EMG Crosstalk 60$O,.5+1.-21 •! Cuidado e especial atenção para evitar/minimizar EMG crosstalk de músculos próximos do músculo de interesse para não •! Cuidado quando Q)A*)-S$T2- -.11)# FG$R#*3#21#,$+H#32(($2@5(.-),# contaminar o sinal adquirido. adquirindo EMG de O*-.H#$@)1*(# •! Selecionar eletródo de tamanho apropriado, distância !"#$%&'()*+(",-./+,0+(1-(2345",#(6*"07,+88(1-(6"88/+(.35+48(9+.1:(6*+(+.+0; 641<+8'(="2+,(6*+(83>+(3>1/,6(1-(>/80.+(+.+064"0"65(01,<"6"1,(%(?41</0+8 intereletródos e localização quando trabalhando em áreas >14+(@A=(>3#,"6/<+(</+(61(8>3..+4(<"863,0+(9+6:++,(>/80.+(3,<(+.+0641<+8 superfície em áreas onde com tecido subcutâneo muitos estreitos estejam e próximos. -3/! -:%53/! %&! '()! /=-/! 08!músculos 47/7./74! A;! /=7! 1%.-1!juntos 717./,%47! 80/7E adiposo, já que é !>QRO>SR!%&!/=7!%C7,-11!8093-1!.%3/73/8!%,!083T/!-C-01-A17!-/!-11E sabido que este tipo de ,-397:73/8!@0/=03!:58.17!9,%5<8E •! Winter (1994); Fugelvand et al (1992); (Solomonow et al, 1994) tecido aumenta o .%,4039B! 78<7.0-11;! @=73 crosstalk. 58.178E! F=7;! -,7! 7-8;! /% 10:03-/7! /=7:! I877! '$) &'()*+*,$-./$"012$3'4+5067 De Luca (1997) “Use of Surface Electromyography”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eferências Bibliográficas 7! :740-3! %,! :7-3!Amplitude &,7C573.;! 81%<7! /%D-,48 e •! The ABC of EMG – P. Konrad, 2005. (Noraxon Inc. USA) 73.078! .-3! A7! 5874! -8! -! 3%3K03J-80J7! &-/0957 •! Webster, J. G. (ed.). Medical Instrumentation: Application and Design, 3rd edition, John Wiley & Sons. 1998. < Y,:8!I2X'6!X/-34-,48B!877!.=-</7,!Z)504710378[\L Frequência da = EMG - Fadiga 3/,%1174!A;!-..5,-/7!<,7<-,-/0%3!-34!.=7.H039!/=7!90C73 =7!03J78/09-/74!:58.17H!2/!08!-8808/74!A;!/=7!03K .=!08!/=7!.,%88039!<%03/!%&!/=7!81%<7!-34!/=7!RK "+99(6 S. Kumar; A. Mital. Electromyography in Ergonomics. Taylor&Francis, London 1996 ISBN 0-7484-0130-X !&9 !"#$0G >4'?4 J.R.Cram; G. Kasman. Introduction to Surface Electromyography. Aspen 1998 ISBN 0-8342-0751-6 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! %&! 1%.-1! :58.17! &-/0957! 7&&7./8! =-8! /D%! 0:<%,K /,%:;%9,-<=; +-97!>> H+B6 =7!:%8/!&-:%58!-<<10.-/0%3!%&!&,7C573.;!8=0&/8 '4+506$8&96:UN! ;G!08!03!/=7!-3-1;808!%&!1%D!A-.S @./6? -/0%38H! P0,8/N! 0/! .-3! A7! 5874! /%! 0473/0&;! D7-S AB69$ *2+A4F$ ** The International Society of Electrophysiology and Kinesiology (ISEK) http://isek.bu.edu/ *2+A4F$ 3?6E06&1)$ ** The European Recommendations for Surface Electromyography (SENIAM) http://www.seniam.org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ub-VIs em LabVIEW &!.%K-./0J-/0%3!D0/=03!-3/-9%308/8H 5#6" 5#6" %&," %&, %&," %&, " " !"#$%&'()*(+,-./0( !"#$%&'()*(+,-./0( Estruturas "e Funções do LabVIEW # $ M .+1.%-22-4#+,+4.%-49%5"49"4#1%532%1.-.")%A-)B '%C+9"-4%D;EF%C+-4%!2+60+4)7%DGEF%H+23%I2311"4# ,</".09+%D=EF%1/3<+%35%-%.2-"4+9%D#2++4E%-49%04J AK+).F%,+-102+9%532%.*+%,0/."5"901%,01)/+$ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ,-./0.-1!23/,%45./0%3!/%!603780%1%90.-1!'17./,%:;%9,-<=; +-97!>? !"#$"%&"'#(")*+(",(-"#./0/12+*"+(3.-*"+("*#.-*"%&4" !"#$"%&"'#(")*+(",(-"#./0/12+*"+(3.-*"+("*#.-*"%&4" " " 5/$/02-"2"#$2",#67-*./324" 5/$/02-"2"#$2",#67-*./324" " " %23.28(3,9" %23.28(3,9" :*+#02-4" :*+#02-4" ;2</0/+2+(")2-2"(0/$/32-"(--*,4" ;2</0/+2+(")2-2"(0/$/32-"(--*,4" =(,3(<(,,>-/*"<-/2?@*"+("<A+/8*,B" =(,3(<(,,>-/*"<-/2?@*"+("<A+/8*,B" 1 1 2( 2( 13 !"##$#%&"'"%(')"*+$%,-%./%0.1234% Sub-VIs em LabVIEW 5$'/"%/")#%"6."7%-%'8&),"% Sub-VIs em Lab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ub-VIs Sub-VIs 2&3%-3#&456789&/1-:#&(%&:;<-&=#;3,-&(1=%;%$:%-& 2&3%-3#&456789&/1-:#&(%&:;<-&=#;3,-&(1=%;%$:%-& !"#$%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'#(#&)*+,$-./%0& &&&&&&&&&&&&&&'#(#&)*+,$(1(#&& !"#$%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'#(#&)*+,$-./%0& &&&&&&&&&&&&&&'#(#&)*+,$(1(#&& 23& !"#$%&'()*+,-")&.+(/0,#1& 23& !"#$%&'()*+,-")&.+(/0,#1& 23& !"#$%&'()*+,-")&.+(/0,#1& !"#$%&'()*+,-")&.+(/0,#1& !"#$%#&'()*(+*,-.&/01(2!"#$%%&'%3( Depuração em LabVIEW ! !"#$%&' &' ()' $*&' +,-.' +/+0"-.1+2' "3#' ,+-#' 4"+56#%#'7'3&,-6#%#'$&'5&-*&'%+'!"#8' ! 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"#$#%&'(&)*#%+'!,#!-*! .)(+/'!-+)()01%,'!! #*!21/1(#('!'! ! ()*+,-./%*01'2#00 0 #!'!! ()*3450,-./%*01'2# 3! Exercícios: 1) Desenvolver um programa para converter °C para °F ou °F para °C. O programa deve ser criado como um Sub-VI chamado de Conversor C para F ou F para C. A temperatura em °C ou °F deve ser fornecida pelo usuário. 2) Desenvolver um programa para determinar dentro de uma faixa limite (variável de entrada) quantos números dentro desta faixa são números primos. (Ver fluxograma clássico para auxiliar nesta tarefa). 3) Desenvolver um programa para calcular o fatorial de um número. Primeiro desenvolver este programa usando uma estrutura de repetição e depois com a estrutura FORMULA NODE. 16
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