任意FIR濾波器的原理、設計和應用

࢒1ᐺǖ፛ዔ Ᏼቧ੓ࠀಯऱෂLj൉݆໭భถ્ۻ၁ᆐጙᒬኀখ݆ተተᓨࡼ ၫኧ߈ኔăፐࠥLjྀ࣪ੜተᓨࡼ݆ተLjᆸඣ࣒భጲ࿸ଐ߲ᄂ ࢾࡼ൉݆໭Ljጲো௣ጙࢾࡼ૥۾ਖᐌĂଣ࿸ਜ਼ሢᒜLjڳ݆ተ ܤધ߅ྀੜᇧᆃࡼተᓨă࠭ਓፃ࿟୚Ljᎌཽభถ્ႁLjࠀಯ ቧ੓ࡼྀੜᇹᄻ࣒భጲ၁ᆐ൉݆໭ăಿྙLjာ݆໭ᄰࡸభۻ ၁ᆐࢅᄰ൉݆໭Lj໚3dBၱି࢛ۻ߂ᆐࡒ౑ăྙਫဧ፿ACẮ ੝Ljกඐာ݆໭భۻఘᔫࡒᄰ൉݆໭ă ።፿ᒎฉ ྀፀFIR൉݆໭ࡼᏇಯĂ࿸ଐਜ਼።፿ ာ݆໭ဧ፿ઓถ৫Ꮵ፿ᔈࢾፃࡼFIR൉݆໭஠ቲ݆ተၫኧᏥႯă۾ᆪ୓࿾ྜྷᄀ൙ဧ፿DSPဣሚFIRĊĊᎌሢߡ૮ሰ ።൉݆໭ࡼᏇಯă჈થ୓஑࿬ࠥಢ൉݆໭࿸ଐࡼጙቋऱजăࠥᅪLjᆸඣથ୓ᄀ൙დయာ݆໭ၫኧᏥႯჅ۞਺ࡼྀፀ ൉݆໭਽ၫဧ፿ࡼFIR൉݆໭߈ኔెă۾ᆪᒑ਻ঙ೫FIRಢቯࡼ൉݆໭ă www.tektronix.com/oscilloscopes ྀፀFIR൉݆໭ࡼᏇಯĂ࿸ଐਜ਼።፿ ።፿ᒎฉ 2 ᏴଐႯ૦ਜ਼ၫᔊݧዹ߲ሚጲ༄Lj৔߈နᓍገᏴ࢟വ࿸ଐᒦဣ ሚෝผ൉݆໭ăᑚቋ൉݆໭ဧ፿࢟ᔜ໭Ă࢟ྏ໭ਜ਼࢟ঢ໭Lj ᒊቲ߂ᆐ௳૩ࡼĐෝผଐႯđăᏴၫᔊଐႯ૦ਜ਼ෝၫᓞધ໭ख ීᒄઁLjభጲᄰਭܭာቧ੓ࡼऔ஠ᒜၫ௣ዹ࢛ࡼጙᇹ೰߇ज ਜ਼ଝजᏥႯLj౶ဣሚ௳૩ഗ߈ă ၫᔊ൉݆໭୷ෝผ൉݆໭ᎌ෭ቋීመࡼᎁဴăಿྙLjෝผ൉ ݆໭࢟വ໭ୈࡼ৛ތభถਭࡍLjፐࠥ੪ซ૞ݙభถဣሚ঱୿ ൉݆໭ăऎᏴၫᔊ൉݆໭ᒦLjᐌభጲ੪ྏጵဣሚᑚቋ঱୿൉ ݆໭ăࠥᅪLjෝผ໭ୈᄂቶ્ႲᓹႶᏜ૞ᆨࣞऎܤછLj፬ሰ ൉݆໭ࡼሰ።ᄂቶăၫᔊ൉݆໭ᐌ඗ᎌᑚዹࡼᆰᄌăၫᔊ൉ ݆໭ࡼ഍ጙৈᓍገᎁဴဵถ৫খܤᇹၫĂᒮቤܠ߈ăᑚࡍࡍ ଼છ೫੝းࡼ൉݆໭ࡼဣሚਭ߈ă ጙۅ౶ႁLjၫᔊ൉݆໭భጲॊ߅ೝࡍಢǖFIRĐᎌሢߡ૮ሰ።đ ਜ਼IIRĐᇄሢߡ૮ሰ።đăFIR൉݆໭Ᏼᓞ਽ᒦᒑᎌഃ࢛Lj඗ᎌ ૵࢛Ljፐࠥ჈ጙᒇࠀ᎖ᆮࢾᓨზLjݙ્ᑩ࡬ăჅጲLjFIR൉݆ ໭ࡼߡ૮ሰ።ࡼޠࣞᎌሢăࠥᅪLjభጲဧ፿ᓰཀྵࡼሣቶሤᆡ ሰ።౶ᒎࢾFIR൉݆໭ăIIR൉݆໭Ᏼᓞ਽ᒦ଒ᎌഃ࢛Ă᎒ᎌ ૵࢛Ljభถ્ݙᆮࢾă࠭ಯ൙࿟୚Lj໚ߡ૮ሰ።્ߒኚࡵᇄ གࡍăધ௪જႁLj჈ݧ፿नౣણവဣሚăIIR൉݆໭ݙถ૝ࡻ ᑞᑵࡼሣቶሤᆡሰ።ăݙਭLj჈భጲᏴঢቭབࡼཌᎮด୻த ሣቶሤᆡă۾ᆪᒑ஑࿬FIRಢቯࡼ൉݆໭ăྙኊৎ࿾ྜྷ࢐೫ஊ ၫᔊ൉݆໭ᏇಯLj༿ݬ୅ᔢઁጙ጑ࡼݬఠᓾ೯༹࡝ă ࢒2ᐺǖFIR൉݆໭ᇹၫ FIR൉݆໭ᎅၫ௣ዹ࢛ၫᔝh(m)ᔝ߅Ljᑚৈၫᔝࡔܭᓹ൉݆໭ ࡼནዹߡ૮ሰ።Lj໚ᒦmဵၫᔝᒦࡼჃ፛ăݬ୅ᅄ1ăᒰჅᒲ ᒀLjߡ૮਽ၫᎅ७ࣞሤࢀࡼჅᎌຫൈࡼ᎜ሖ਽ၫᔝ߅Lj໚ሤ ᆡᏴߡ૮ࡼဟମᆡᒙ࿟ࢀ᎖ഃLj૾ݙᄴຫൈࡼඛৈ᎜ሖ݆Ᏼ ߡ૮ᆡᒙ્࣒ᎌጙৈ݆ख़ăᑚৈᆡᒙ߂ᆐഃሤᆡݬఠ࢛ăፐ ࠥLjྙਫߡ૮ၒྜྷࡵ൉݆໭ᒦLj໚ߡ૮ሰ።્ཝෂཀྵࢾ൉݆ ໭ᏴဟᎮᒦࡼᄂ࢛ăᄰਭଐႯ൉݆໭ߡ૮ሰ።ࡼFFTLjభጲᄋ ৙൉݆໭ᏴຫᎮᒦࡼሤᆡਜ਼७ࣞሰ።ă ᄰਭᒎࢾᇹၫ૝ࡻFIR൉݆໭ ᇹၫဵᒎ൉݆໭ߡ૮ሰ።ࡼዹ࢛ၫăభጲᄰਭ৉ᒬऱज૝ࡻ ߡ૮ሰ።ăጙۅ౶ႁLj።ᏴຫᎮᒦᒎࢾ൉݆໭ᄂ࢛Ljᄰਭଐ ႯIFFT૝ࡻߡ૮ሰ።ă཭ઁభጲ࣪ߡ૮ሰ።ནዹLj૝ࡻᇧᆃ ࡼݧዹൈሆࡼ൉݆໭ᇹၫă ᅄ1.൉݆໭ࡼ૥۾গศᅄă ྀፀFIR൉݆໭ࡼᏇಯĂ࿸ଐਜ਼።፿ ።፿ᒎฉ 3www.tektronix.com/oscilloscopes RemezୣધऱजǖᏴFIR൉݆໭࿸ଐᒦLjభถᔢᓎ෗ࡼऱजဵ ݧ፿RemezୣધႯजăĐၫᔊቧ੓ࠀಯᏇಯਜ਼።፿đᒦ஑࿬೫ ᑚᒬႯज(ݬ୅ᔢઁጙ጑ࡼݬఠᓾ೯༹࡝)Lj໚ᒦᄋ৙೫FOR- TRAN߈ኔ೰ܭăᑚᒬ߈ኔᏤ኏፿ઓᒎࢾྯᒬሣቶሤᆡFIR൉ ݆໭ᒦࡼጙᒬLjྙǖ1)ࣶຫࣤ൉݆໭Ǘ2)Hilbertܤધ൉݆໭Ǘ 3)ᆈॊ໭൉݆໭ăMatlabTMᄋ৙೫ጙᒬ൉݆໭࿸ଐྟୈ۞Lj ݧ፿RemezႯजLjᄋ৙೫ഗቲࡼWindowsTM፿ઓஏෂă ෝผᏇቯǖથᎌ኏ࣶऱजLjဧ፿ၷሣቶܤધڳጯᒀࡼෝผᓞ ਽ܤધ߅ၫᔊ൉݆໭ᓞ਽ăᒄჅጲኊገᑚᒬܤધLjဵፐᆐෝ ผsljຳෂᒦࡼআ jwᒷ્፯࿴ࡵၫᔊzljຳෂᎮᒦࡼ࡝ᆡᏌă Ᏼ࠭sljຳෂᓞધࡵzljຳෂLjጲ૝ࡻᄴࢀၫᔊ൉݆໭ᓞ਽ဟLj భጲ࣪൉݆໭ᓞ਽஠ቲᒎࢾᓞᑓຫൈࡼၷሣቶܤધă ۾ᆪᔫᑗဧ፿ࡼᒇ୻ຫൈནዹऱजǖ࿟ෂ஑࿬ࡼRemezႯज ऱजਜ਼ෝผᏇቯऱजᏴ఼ᒜᇧᆃࡼ൉݆໭ࡼሤᆡሰ።ਜ਼७ࣞ ሰ።ऱෂᎌᓹීመࡼ௜ሢቶăဧ፿ᑚቋऱजభถ੪ซ૝ࡻᇧ ᆃࡼሰ።ăᏴ࢒8ᐺĐྀፀຫൈནዹ൉݆໭࿸ଐऱजđᒦLjᆸ ඣᄋ৙೫ጙৈ߈ኔLjক߈ኔဧ፿࿸ଐཽᏋᒎࢾࡼྀፀ७ࣞਜ਼ ሤᆡሰ።ࠎ୐൉݆໭ă ࢒3ᐺǖ௳૩ ጙࡡጯள࿸ଐ೫൉݆໭Lj༦ጯள૝ࡻ೫൉݆໭ᇹၫLjกඐ୓ ᄰਭ௳૩ᏥႯ࣪ၒྜྷၫ௣።፿൉݆໭ă৛ါ(1)Ă(2)ਜ਼(3)ጲ MathcadTM૞MatlabTMభጲ଼ܣဣሚࡼተါ஠ቲ೫හၤă (1) (2) (3) (4) (5) (6) ໚ᒦǖMဵ൉݆໭ᇹၫၫ೟Ljܘኍဵ৛ါ(2)ᒦහၤࡼჃ፛ܭ ࡼໜၫăጐభጲဣሚ๔ၫޠࣞࡼ൉݆໭Ljࡣܘኍ൒ᆈኀখჃ ፛৛ါ(2)ăNࡼᒋဵxᒎࢾࡼၒྜྷၫ௣ၫᔝࡼޠࣞă൉݆໭ၫ ᔝᆐhă࠭৛ါ(1)Ă(2)ਜ਼(3)ᒦభጲఘ߲Lj௳૩ഗ߈ኊገۣഔ ൉݆໭ߡ૮ሰ።ࡼဟମࠨኔLjڳ჈ᓆ࢛߇ጲᒎၫᆡᒙMఎဪࡼ ሤ።ዹ࢛xăڳඛࠨࡼ߇૩உਫଝᏴጙ໦Lj૝ࡻጙৈᒙྜྷၫᔝ ࡼ൉݆ઁࡼၒྜྷ࢛yă཭ઁڳnࡼᒋଝ1Ljᒮআ߇जਜ਼ଝज߈ኔLj ૝ࡻyᒦሆጙৈ൉݆ࡼၫ௣ዹ࢛ă ᓖፀLjো௣৛ါ(3)Lj඗ᎌࢾፃy( )ၫᔝᒦ࢒ጙށ(M/2)ࡼ࢛ă ࠥᅪLjጐ඗ᎌࢾፃၫᔝ෣ᆘᔢઁጙށ (M/2)ࡼ࢛ăࡣဵLjၫᔝ ᒦ໚᎜࢛஠ቲ೫൉݆ăᏴᑚᒬܭာऱါᒦLj൉݆໭ߠॊ৔ᔫLj ၒ߲ၫ௣ၫᔝᒦࡼ൉݆໭඗ᎌޘညၾဟ໪ࣅပᑞă৛ါ(6)හ ၤࡼᔢઁጙৈၫᔝy(n)ࡼჅᎌ࢛௿ᎌ቉ă ာ݆໭൉݆ࡼၫኧ݆ተᏴ݆ተ଑ഺஉၦ༄૞உၦઁ඗ᎌऄᅪ ࡼ࢛ăፐࠥLjᆐܜ඾൉݆໭໪ࣅၾဟပᑞLj৛ါ(3)ᒦ඗ᎌࢾ ፃࡼ࢛ۻࡔጲETnullLjĐᇄ቉ၫᔊđăᑚቋሲ෹Ᏼື෵࿟መာ ᆐహڹăᏴࡴ߲ࡼASCIIᆪୈᒦLjᑚቋ࢛መာᆐహৃă 4 ྀፀFIR൉݆໭ࡼᏇಯĂ࿸ଐਜ਼።፿ ።፿ᒎฉ www.tektronix.com/oscilloscopes ࢒4ᐺǖሤ࣪᎖ݧዹൈࡼ൉݆໭ᇹၫਜ਼ሰ። ྀፀၫᔊ൉݆໭ࡼሰ።ሤ࣪᎖ݧዹൈfsਙጙછă ൉݆໭Ᏼ0-0.5fsࡼຫൈपᆍดࢾፃ೫ᔈ଄ࡼ७ࣞਜ਼ሤᆡሰ።Lj ໚ᒦ0.5fsࡼᒋ߂ᆐจౠႅᄂ࢛ăభጲဧ፿ਙጙછᒋᒎࢾਈ୆ ൉݆ݬၫăಿྙLjభጲᒎࢾࢅᄰ൉݆໭ᎌ0.3ࡼਙጙછࡒ౑ă ᑚፀᆜᓹ஀ᒏຫൈࢀ᎖0.3fsăݙ਌ኡᐋဠඐዹࡼݧዹൈᒋLj ᑚৈ൉݆໭્࣒ᎌᑚዹࡼ஀ᒏຫൈă ಿྙLjఠ൅ጙሆࠅၒຫࡒᆐ0-0.25fsࡼࢅᄰ൉݆໭ăሚᏴଣ࿸ ጯளཀྵࢾ೫൉݆໭ᇹၫLj༦ጯள።፿ࡵ፱ᎌ෭ৈᒎࢾݧዹൈ ࡼၫ௣ᒦăݙ਌ၫ௣ࡼݧዹൈဵࣶ࿩Lj൉݆໭࣒୓ܭሚ߲Ꭷ0 ࡵจౠႅᄂ࢛पᆍด߅܈ಿࡼሤᄴ७ࣞਜ਼ሤᆡᄂ࢛ăፐࠥLj ྙਫጲ1Hzࡼݧዹൈ።፿ᑚጙ൉݆໭Ljࡒ౑୓ဵ0.25Hzăྙ ਫ࣪ݧዹൈᆐ1GHzࡼၫ௣።፿ሤᄴࡼ൉݆໭ᇹၫLjกඐ൉݆ ໭ࡼࡒ౑ဵ250MHzăᅄ2ጲᅄተऱါܭී೫ᑚᒬ፬ሰă ᆐጙۅ፿ᅆᄋ৙ጙᄁਙጙછ൉݆໭௥ᎌᒮገፀፃăಿྙLjდ యቤᅎ߲ࡼာ݆໭ڳᑚዹࡼ൉݆໭߈ኔెࡀ߼Ᏼࠟ๤ᆪୈᒦă ᑚৈ߈ኔెᒦ۞౪঱ᄰ൉݆໭Ăࢅᄰ൉݆໭Ăࡒᄰ൉݆໭ૺ ໚჈ಢቯࡼ൉݆໭ăݬᏞ࢒10ᐺǖĐၫኧᏥႯྀፀ൉݆໭߈ኔ ెđă ፱ᎌጙᄁৼࢾࡼ൉݆໭ᇹၫ્ࡴᒘߡ૮ሰ።ဟޠႲᓹݙᄴݧ ዹൈܤછăፐࠥLjࡒ౑ࢀຫᎮᄂ࢛ጐ્ܤછăᏴᑚᒬ༽ౚሆLj ൉݆໭ᇹၫࡼၫ೟્ۣߒݙܤă ྙਫݙ਌ݧዹൈဵࣶ࿩Lj፿ઓ࣒ገཇ൉݆໭ᄋ৙ৼࢾࡼຫሰLj กඐ્࣪ඛᒬݧዹൈገཇጙᄁݙᄴࡼ൉݆໭ᇹၫăᑚፀᆜᓹ ߡ૮ሰ።਻ঙࡼဟମମ৆୓ੱࢾݙܤăஉਫLjݧዹൈᏗࢅLj ൉݆໭ᇹၫᏗ࿩ǗݧዹൈᏗ঱LjᇹၫᏗࣶăፐࠥLjᏴᑚᒬ༽ ౚሆLj൉݆໭ᇹၫၫ೟્Ⴒᓹݧዹൈܤછă੪ීመLjݧዹൈ ᅄ2.ಿ:ሤᄴࡼ൉݆໭ᇹၫĂݙᄴࡼݧዹൈྙੜ፬ሰਙጙછ༷ሰࡼ Ⴡह܈ಿă ྀፀFIR൉݆໭ࡼᏇಯĂ࿸ଐਜ਼።፿ ።፿ᒎฉ 5www.tektronix.com/oscilloscopes ܘኍᔗ৫঱Lj࠭ऎဧࡻᇧᆃࡼຫሰൢᏴจౠႅᄂपᆍดăᏴ ᑚᒬ༽ౚሆLj፿ઓ።কᆐᔢ঱ࡼݧዹൈ࿸ଐ൉݆໭Ljፐᆐᑚ ୓ገཇᔢࣶࡼᇹၫă཭ઁገဧ፿ดރ૞ߥዹଆၣLjᑣ࣪൉݆ ໭።কး੝ࡼඛᒬݧዹൈLj࣪൉݆໭ᇹၫᒮቤནዹă཭ઁభ ጲᏴጙৈࠟ๤ᆪୈᒦ۞౪৉ᒬᇹၫૹLjݬ୅࢒11ᐺǖĐFIR൉ ݆໭ࡼᆪୈৃါđăᏴာ݆໭ᒦࡼݙᄴݧዹൈሆᏥቲဟLjܘኍ ఠ൅భถࡼቧ੓૘ࢴਜ਼ᐅဉ૘ࢴࡼ፬ሰăࠥᅪLjྙਫာ݆໭ ᒦ࿸ᒙࡼݧዹൈ඗ᎌሤ።ࡼArbFilt( )ၫኧ਽ၫ൉݆໭ᇹၫࢾ ፃLjกඐ൉݆໭୓ਈܕă࣪࢒11ᐺᒦහၤࡼਙጙછ൉݆໭ᆪ ୈLj൉݆໭્ጙᒇࡌఎLjऎݙ਌ኡᐋࡼݧዹൈဵࣶ࿩ă ࢒5ᐺǖ૘ࢴਜ਼൉݆໭ሰ። ጙۅ౶ႁLjᏴဧ፿FIR൉݆໭ဟLjܘኍఠ൅ቧ੓૘ࢴࡼᆰᄌLj Ᏼာ݆໭ၫኧᏥႯᄁୈᒦᎄ໚ྙࠥăຫൈ঱᎖จౠႅᄂ࢛Ă ݀ൢᏴာ݆໭ෝผࡒ౑पᆍดࡼྀੜቧ੓્࣒Ᏼᄰࡒด፛໦ ቧ੓૘ࢴLjܭሚ߲ࡼຫൈገࢅ᎖ဣଔຫൈă Ᏼာ݆໭ᒦܜ඾ቧ੓૘ࢴࡼᔢଛऱါဵᏴෝผࡒ౑ቃ᎖จౠ ႅᄂ࢛ဟጲ૥۾ݧዹൈݷᔫăᏴᑚᒬ༽ౚሆLjာ݆໭ࡼෝผ ᄰࡸᔫᆐఝቧ੓૘ࢴࡼ൉݆໭ݷᔫăಿྙLjDPO7254ࡼ૥۾ ݧዹൈᆐ10GS/sLjᄰࡸࡒ౑ᆐ2GHzLjࢅ᎖จౠႅᄂ࢛5GHză ᑚభጲᎌ቉৔ᔫLjᒑገ൉݆໭ࡒ౑Ꭷာ݆໭ࡒ౑ሤ܈ݙဵვ ቃ௓భጲ೫LjᏴာ݆໭ࡒ౑ด൉݆໭્ࡻࡵ঱ࡼਭݧዹൈă ൉݆໭୓ݧ፿ॳࣅ࢛ᇹၫ஠ቲଐႯLjፐࠥ໚࣪ਭݧዹࡼྏཾ ߈ࣞገ঱᎖ৼࢾ࢛൉݆໭ăᏴᑚᒬ༽ౚሆLjᇹၫၫ೟ܤࡻࡍ ࡻࣶLj൉݆໭௳૩ࡼଐႯဟମጐ્ܤࡻࡍࡻࣶă ᅄ3መာ೫ጲာ݆໭૥۾ݧዹൈ৔ᔫࡼࢅᄰ൉݆໭ࡼဣಿăᏴ ۾ಿᒦ඗ᎌखညቧ੓૘ࢴă ྙᅄ4ᒦࡼဣಿჅာLjݧዹൈfsࢅ᎖ာ݆໭ࡼ૥۾ݧዹൈLj൉ ݆໭ሰ።खညቧ੓૘ࢴăᓖፀLjၫᔊ൉݆໭ࡼ૘ࢴࡴᒘ೫ࣶ ৈ஻ຫLjᑚቋ஻ຫጲݧዹൈࡼᑳၫ۶ࣶࠨᒮআ߲ሚăᏴᑚᒬ ༽ౚሆLj፿ઓᇧᆃဧ፿ࢅᄰ൉݆໭LjབྷࢬຫࡒᐅဉǗࡣ໚ဣ ଔࡻࡵࡼࢅᄰ൉݆໭Ᏼࠅၒຫࡒᒦས፛ྜྷ೫ࣶৈ঱ຫࣤࡼᐅ ဉਜ਼/૞ቧ੓૘ࢴă ᅄ3.ጲ૥۾ݧዹൈᏥቲࡼာ݆໭ᒦࡼࡒ౑ሢᒜ൉݆໭ᇧᆃࡼሰ። ဣಿă൉݆໭ሰ።፿੨ྻܭာLjာ݆໭ᄰਭሰ።፿੺ྻܭာăᏴ ۾ಿᒦ඗ᎌखညቧ੓૘ࢴă ᅄ4.Ᏼࡒ౑ሢᒜ൉݆໭ݧዹൈვࢅဟLjࡒ૘ࢴቧ੓ࡼ൉݆໭ሰ። ဣಿă੨ྻဵၫᔊ൉݆໭ሰ።Lj੺ྻဵෝผာ݆໭ࡼᄰࡸሰ።ă ࡻࡵࡼ൉݆໭඗ᎌᄋ৙ᇧᆃࡼࡒ౑ሢᒜ৖ถă 6 ྀፀFIR൉݆໭ࡼᏇಯĂ࿸ଐਜ਼።፿ ።፿ᒎฉ www.tektronix.com/oscilloscopes ࢒6ᐺǖሣቶሤᆡ ྙਫጙৈᇹᄻࡼሤᆡሰ።ဵሤ࣪᎖ຫൈࡼሣቶ਽ၫLj჈୓ጲ ሤᄴࡼဟዓࠅ႙Ⴥᎌຫൈăऻሣቶሤᆡᇹᄻ્খܤݙᄴຫൈ ߅ॊቧ੓ࡼሤ࣪ሤᆡLjࡴᒘ݆ተပᑞăፐࠥLj࿸ଐཽᏋᄰޟ ᇧᆃ࿸ଐ௥ᎌሣቶሤᆡᄂᑯࡼ൉݆໭ă഍ጙऱෂLjᎌဟኊገ ጙৈ൉݆໭౶ቅᑵᇹᄻᒦࡼሤᆡᇙތLjጲܣ൉݆ઁࡼஉਫ፱ ᎌሣቶሤᆡሰ።ăᑚಢ൉݆໭୓፱ᎌऻሣቶሤᆡᄂ࢛Ljጲઑ ݗቅᑵᇹᄻᒦࡀᏴࡼऻሣቶሤᆡሰ።ăTDS6154Cာ݆໭ᒦ ဧ፿ࡼᐐ༓ࡒ౑ࡼ൉݆໭௓ဵᑚዹጙৈဣಿăᑚቋ൉݆໭Ᏼ ᒜᐆਭ߈ᒦ஠ቲቅᓰLjࡻࡵࡼာ݆໭ᄰࡸሰ።ገຳუࡻࣶLj ݀፱ᎌሣቶሤᆡᄂ࢛ă ࢒7ᐺǖ൉݆໭ݬၫ ሆෂ೰ී೫හၤ૞ᒎࢾ൉݆໭ᄂ࢛ဟᄰޟဧ፿ࡼጙᇹ೰ݬၫ ਜ਼ၣᎫă ൉݆໭ᓞ਽෗߂ǖᎅ፿ઓࢾፃLjྙFIR,Bessel Thompson, Butterworth,Chebychev,GaussianࢀࢀăᓖǖBessel Thompsonಢቯࡼ൉݆໭ᄰޟᔫᆐာ݆໭ᒦࡼෝผࡒ౑ሢ ᒜ൉݆໭ဧ፿ă჈થᏴ਒ݬఠ୻၃૦ෝۇހ၂።፿ᒦᔫᆐ ሰ።ಢቯࡼ൉݆໭ဧ፿ă໚ഗቲࡼᏇፐᏴ᎖Lj჈ဵᔢ୻த ဣሚಯሯࡼĂࡣᏴᇕಯ࿟ݙభถဣሚࡼ঱ႅ൉݆ሰ።ࡼ൉ ݆໭ăᑚᒬ൉݆໭ဧ፿ࡼᓞ਽ᄴဟ۞౪૵࢛ਜ਼ഃ࢛Ljభጲ ੪ੑ࢐૝ࡻத႒ࡼሣቶሤᆡăᓖǖᑚಱ೰ීࡼࣶᒬ൉݆໭ ᔢ࣒߱࿸ଐ߅ݧ፿૵࢛ਜ਼ഃ࢛ࡼෝผ൉݆໭ăፐࠥLjᔫᆐ FIR൉݆໭ဣሚᑚቋ൉݆໭భถገཇဧ፿Ꮎܤધਜ਼ၷሣቶܤ ધଆၣă ൉݆໭ಢቯǖࢅᄰ൉݆໭Ă঱ᄰ൉݆໭Ăࡒᄰ൉݆໭Ăࡒ ᔜ൉݆໭ĂHilbertܤધ൉݆໭Ăᆈॊ໭൉݆໭Ăࣶຫࣤ൉ ݆໭ࢀࢀă ஀ᒏຫൈǖ፿౶ᒎࢾ঱ᄰ൉݆໭Ăࢅᄰ൉݆໭Ăࡒᄰ൉݆ ໭ਜ਼ࡒᔜ൉݆໭ࡼࡒ౑ă஀ᒏຫൈဵ७ࣞਦଢ଼ࡵ-3dBဟࡼ ࢛ăݬᏞᅄ5Ăᅄ6Ăᅄ7ਜ਼ᅄ8ă ࡒ౑ǖ൉݆໭ࠅၒຫࡒᒦࡼຫൈपᆍLj჈ဵਖࢾ೫ຫࡒܟ ዘဵ७ࣞሰ።ཎሣᒦ-3dBሆଢ଼࢛ࡼ஀ᒏຫൈă ᅄ5.ࢅᄰ൉݆໭ݬၫă ᅄ6.঱ᄰ൉݆໭ݬၫă ྀፀFIR൉݆໭ࡼᏇಯĂ࿸ଐਜ਼።፿ ።፿ᒎฉ 7www.tektronix.com/oscilloscopes ᒦቦຫൈǖ፿౶ᒎࢾࡒᄰ൉݆໭૞ࡒᔜ൉݆໭ࡼᒦቦຫൈă ݬ୅ᅄ7ਜ਼ᅄ8ă QǖQݬၫဵ൉݆໭ࡼᒦቦຫൈᎧࡒ౑ᒄ܈Ljྙ৛ါ(8)Ⴥ ာă ਦଢ଼Ⴅൈǖᓞધຫࡒࡼቓൈ૾ਦଢ଼ႥൈLj໚ᄰޟ፿dB/ octave(dB/۶ຫ߈)૞dB/decade(dB/လ۶ຫ߈)ܭာă ᅄ5ਜ਼ᅄ6ႁී೫৉ᒬ൉݆໭ݬၫਜ਼ၣᎫăᏴᅄ5ਜ਼ᅄ6ᒦLj൉ ݆໭஀ᒏຫൈ፿fcܭာă Ᏼᅄ7Ⴥာࡼࡒᄰ൉݆໭ᒦLjfcဵᄰࡒࡼᒦቦຫൈăࠥᅪLjf1 ဵ஀ᒏຫൈሆሢLjf2ဵ஀ᒏຫൈ࿟ሢLjbwဵ৛ါ(7)ਖࢾࡼࡒ ౑ă৛ါ(8)ਖࢾ೫൉݆໭ࡼQă (7) (8) ൉݆໭ਦଢ଼Ⴅൈ ൉݆໭ਭࣟࡒࡼቓൈ߂ᆐਦଢ଼Ⴅൈăᑚᄰޟ፿dB/octave૞ dB/decadeܭာăጙৈ۶ຫ߈(octave)ဵຫൈडጙ۶Ⴥளਭࡼ ମ৆ăDecadeᐌဵຫൈड10۶Ⴥளਭࡼମ৆ă൉݆໭ࡼ୿ᄰ ޟᎧ൉݆໭ࡼਦଢ଼ႥൈሤਈăಿྙLjጙ୿൉݆໭ጲ 6 dB /oc t aveਦଢ଼Ljऔ୿൉݆໭ጲ12dB /oc t aveਦଢ଼ă፿ dB/octaveܭာࡼਦଢ଼Ⴅൈࢀ᎖൉݆໭ࡼ୿߇ጲ6ăᑚᒑး፿ ᎖࢜ቯࡼ൉݆໭࿸ଐLj໚ᒦᓞ਽ࡼ૵࢛ਜ਼ഃჅᏴࡼᆡᒙᄋ৙ ೫࢜ቯࡼ࡝ࢯቓൈăభጲᒎࢾݙး፿᎖ᑚጙਖᐌࡼᓞ਽ă ᅄ7.ࡒᄰ൉݆໭ݬၫă ᅄ8.ࢅᔜ൉݆໭ݬၫă ᅄ9.፿dB/octaveܭာࡼ൉݆໭ਦଢ଼Ⴅൈă www.tektronix.com/oscilloscopes ྀፀFIR൉݆໭ࡼᏇಯĂ࿸ଐਜ਼።፿ ።፿ᒎฉ 8 ࢒8ᐺǖྀፀຫൈནዹ൉݆໭࿸ଐऱज ۾ᐺහၤ೫ᏴຫᎮᒦᆐFIR൉݆໭ྀፀᒎࢾሤᆡਜ਼७ࣞሰ።Ă ཭ઁଐႯဟᎮሰ።ࡼ࿸ଐऱजăMathcadTM૞MatlabTMᒄಢ ࡼ࿸ଐ৔௥ᆐဣሚᑚቋ߈ኔᄋ৙೫ಯሯࡼણஹăྙኊ࿾ྜྷ೫ ஊຫൈནዹ൉݆໭࿸ଐऱजLj༿ݬᏞᔢઁጙ጑጑೰߲ࡼݬఠ ᓾ೯༹࡝ᒦࡼĐၫᔊቧ੓ࠀಯđăጙۅݛᒾྙሆǖ ࢾፃ७ࣞሰ።ǖࡴ߲ጙৈ਽ၫ૞ᄰਭ໚჈ऱါLjᏴ0Hzࡵ จౠႅᄂ࢛पᆍดᒎࢾ൉݆໭ࡼ७ࣞሰ።Lj݀ࡀ߼ᏴၫᔝX ᒦ (ݬ୅ᅄ10)ă আᒜᑚቋ७ࣞၫ௣XLjጲሤनࡼၿኔᓫଝࡵၫᔝXࡼ෣ᆘă ݬ୅ᅄ11ăገᄂܰᓖፀᑚቋዹ࢛ࡼᆡᒙૺআᒜࡼၫ௣ఎဪ ਜ਼உၦᒎၫăXᒦࡼዹ࢛ᔐၫဵIFFTࡼޠࣞăྙਫIFFT፱ ᎌ๔ၫৈዹ࢛Ljกඐจౠႅᄂᆡ᎖ຫໍᒦࡼ໚ᒦጙৈዹ࢛ ࿟ăྙਫIFFT፱ᎌໜၫৈዹ࢛Ljกඐจౠႅᄂݙ્खညᏴ ዹ࢛࿟Ljऎဵ્ᆡ᎖ೝৈዹ࢛ᒄମăྙਫݙఠ൅ᑚቋᇼஂLj กඐ્Ᏼᔢᒫࡼ൉݆໭உਫᒦ፛໦ࡇᇙLjဧࡻIFFT።কࢀ ᎖ഃࡼআၫݝॊݙࢀ᎖ഃăᓖǖྙਫXሤ࣪᎖จౠႅᄂ࢛፱ ᎌ࣪߂ࡼ७ࣞሰ።(ྙᅄ11Ⴥာ)ૺሤ࣪᎖จౠႅᄂ࢛፱ᎌ न࣪߂ࡼሤᆡሰ።(ྙᅄ12Ⴥာ)LjกඐXࡼIFFT୓ᆐഃăᑚ ፀᆜᓹจౠႅᄂ࢛ᎎෂࡼၫ௣ဵจౠႅᄂ࢛ᔧෂၫ௣ࡼሤ नၿኔࡼআၫৢᮾLj໚ᒦa+jbࡼৢᮾࢀ᎖a-jbă ᅄ11.ࠎ୐࢒ጙݛᒦ૝ࡻࡼၫ௣আၫৢᮾࡼ७ࣞݝॊăᅄ10.ࢾፃຫᎮ७ࣞሰ።ă 1. 2. ྀፀFIR൉݆໭ࡼᏇಯĂ࿸ଐਜ਼።፿ ።፿ᒎฉ 9www.tektronix.com/oscilloscopes ᒎࢾሣቶሤᆡǖኟᓞᔬܪ৛ါ(9)LjኟᓞXᒦࡼჅᎌၫ௣࢛Lj ڳXᓞધ߅a+jbআၫተါࡼၫᔝLj໚ᒦaဵဣݝLjbဵኋݝLj jဵ-1ࡼຳऱোă৛ါྙሆǖ (9) ໚ᒦǖNဵXၫᔝࡼޠࣞLjnဵၫᔝपᆍดࡼᒎၫܤ೟ăࡻ ࡵࡼሣቶሤᆡᅄᎧᅄ12Ⴥာஉਫಢ႒ăཬዓဟࢀ᎖ঌࡼሤ ᆡሰ።ቓൈăሣቶሤᆡሰ።ࡼቓൈᏗ࣎༡Ljᄰਭ൉݆໭ဟ ࡼዓဟᏗޠăྙਫᒎࢾ൉݆໭ဟዓᆐ0Ljऎ࣪Ⴥᎌຫൈᒋڳ ሤᆡሰ።ۣߒᏴഃăᏴᑚᒬ༽ౚሆLjݙถဧ፿৛ါ(9)ă ૝ࡻ൉݆໭ࡼဟᎮߡ૮ሰ።ǖଐႯXࡼIFFTLjྙᅄ13Ⴥာă ྙਫᏴࠎ୐ຫᎮሰ።ૺআၫৢᮾࡼ࿟ၤຫൈᒦၫ௣ᒎၫ௿ ᑵཀྵLjกඐxࡼኋၫݝॊ୓ᆐഃLjဣၫݝॊ୓ဵ൉݆໭ገཇ ࡼߡ૮ሰ።ă ࣪ߡ૮ሰ።ནዹLj૝ࡻFIR൉݆໭ᇹၫă ᅄ12.ᆐXᒦࡼၫ௣ॊ๼ጙৈሣቶሤᆡ਽ၫăᔑᒷဵX(f)ࡼሤᆡLj ໚ᒦfဵຫൈă ᅄ13.ဧ፿IFFT૝ࡻ൉݆໭ߡ૮ሰ።ă ᅄ14.૝ࡻᔢઁࡼ൉݆໭ᇹၫă 3. 4. 5. www.tektronix.com/oscilloscopes ྀፀFIR൉݆໭ࡼᏇಯĂ࿸ଐਜ਼።፿ ።፿ᒎฉ 10 ࢒9ᐺǖDPO൉݆໭ݩ࡝ ᅄ15ဵ࿸ᒙArbFilt1( )ၫኧ਽ၫဧ፿ࡼݩ࡝ࡼື෵Lj჈ዝာ೫ భጲᐏዹᏴࢾፃᆐmath1ࡼၫኧܭࡉါᒦဧ፿൉݆໭਽ၫă ᅄ15.መာ೫ArbFilt()਽ၫਜ਼ݩ࡝Ăᆐ൉݆໭ᒎࢾᆪୈ෗ࡼື෵ă ྀፀFIR൉݆໭ࡼᏇಯĂ࿸ଐਜ਼።፿ ።፿ᒎฉ 11www.tektronix.com/oscilloscopes ࢒10ᐺǖၫኧྀፀ൉݆໭߈ኔె ۾ᐺ஑࿬೫დయာ݆໭݆ተၫኧᏥႯݝॊᆐa r b F i l t < x > ()਽ၫᄋ৙ࡼFIR൉݆໭೰ܭă፿ઓభጲ ဧ፿ሆෂࡼവ஼ᑊࡵᑚৈ೰ܭǖc:\TekScope\Math Arbitrary Filters\ăඛৈ൉݆໭ࡼᆪୈ෗્ᒎී໚ಢቯဵࢅ ᄰ൉݆໭Ă঱ᄰ൉݆໭ࢀLj഍ᅪથ્ᒎී໚ਙጙછ஀ᒏຫൈ ૞໚჈ܪဤገႤăሆෂࡼᅄܭᒦመာ೫ᑚቋ൉݆໭ࡼறཀྵ७ ࣞᄂ࢛ăᑚቋ൉݆໭࣒ဵሣቶሤᆡ൉݆໭ă ࢅᄰ൉݆໭ǖ ᅄ16ਜ਼ᅄ17መာ೫ᄋ৙ࡼࢅᄰ൉݆໭ૹ੝ăᅄᒦመာ೫࠭0ࡵ 1/2ݧዹൈࡼਙጙછຫሰăᑚቋ൉݆໭୓ጲྀੜݧዹൈૺ߅܈ ಿࡼ஀ᒏຫൈᏥቲLjྙᅄ16Ⴥာăᑚቋ൉݆໭፱ᎌ0.05,0.1, 0.15,0.20,0.25,0.3,0.35,0.40ਜ਼0.45ࡼਙጙછ஀ᒏຫൈăᔜࡒ ၱିጙۅᆡ᎖-50dBਜ਼-60dBᒄମă ᅄ16.ᄋ৙ࡼࢅᄰ൉݆໭ࡼຫሰă ᆪୈ෗߂ ਙጙછࡼ஀ᒏຫൈ lowpass_0.05bw.flt 0.05 lowpass_0.10bw.flt 0.10 lowpass_0.15bw.flt 0.15 lowpass_0.20bw.flt 0.20 lowpass_0.25bw.flt 0.25 lowpass_0.30bw.flt 0.30 lowpass_0.35bw.flt 0.35 lowpass_0.40bw.flt 0.40 lowpass_0.45bw.flt 0.45 ᅄ17.߈ኔెᒦᄋ৙ࡼࢅᄰ൉݆໭೰ܭă ঱ถ൉݆໭ǖ ᅄ18ਜ਼ᅄ19መာ೫ᄋ৙ࡼ঱ᄰ൉݆໭ૹ੝ăᅄᒦመာ೫࠭0ࡵ 1/2ݧዹൈࡼਙጙછຫሰăᑚቋ൉݆໭୓ጲྀੜݧዹൈૺ߅܈ ಿࡼ஀ᒏຫൈᏥቲLjྙሆෂࡼᅄܭჅာăᑚቋ൉݆໭፱ᎌ 0.05,0.1,0.15,0.20,0.25,0.3,0.35,0.40ਜ਼0.45ࡼਙጙછ஀ᒏຫ ൈăᔜࡒၱିጙۅᆡ᎖-50dBਜ਼-60dBᒄମă ࡒᄰ൉݆໭ǖ ඛৈ൉݆໭ࡼࡒ౑ဵݧዹൈࡼ0.05۶ă჈ඣ୓ጲྀੜݧዹൈ ݷᔫăᄋ৙ࡼᒦቦຫൈဵ0.05,0.10,0.15,0.20,0.25,0.30, 0.35,0.40,0.45ăᔜࡒၱିᏖᆐ-60dBLjᄰࡒด݆ࣅᏖᆐ1dBă ݬ୅ᅄ20ਜ਼ᅄ21ă www.tektronix.com/oscilloscopes ྀፀFIR൉݆໭ࡼᏇಯĂ࿸ଐਜ਼።፿ ።፿ᒎฉ 12 ᅄ18.ᄋ৙ࡼࢅᄰ൉݆໭ࡼຫሰă ᆪୈ෗߂ ਙጙછࡼ஀ᒏຫൈ highpass_0.05bw.flt 0.05 highpass_0.10bw.flt 0.10 highpass_0.15bw.flt 0.15 highpass_0.20bw.flt 0.20 highpass_0.25bw.flt 0.25 highpass_0.30bw.flt 0.30 highpass_0.35bw.flt 0.35 highpass_0.40bw.flt 0.40 highpass_0.45bw.flt 0.45 ᅄ19.߈ኔెᒦᄋ৙ࡼ঱ᄰ൉݆໭೰ܭă ᅄ20.ᄋ৙ࡼࡒᄰ൉݆໭ࡼຫሰă ᆪୈ෗ ਙጙછ ਙጙછ ࡒ౑ ᒦቦຫൈ bandpass_0.05bw_0.05center.flt0.05 0.05 bandpass_0.05bw_0.10center.flt0.05 0.10 bandpass_0.05bw_0.15center.flt0.05 0.15 bandpass_0.05bw_0.20center.flt0.05 0.20 bandpass_0.05bw_0.25center.flt0.05 0.25 bandpass_0.05bw_0.30center.flt0.05 0.30 bandpass_0.05bw_0.35center.flt0.05 0.35 bandpass_0.05bw_0.40center.flt0.05 0.40 bandpass_0.05bw_0.45center.flt0.05 0.45 ᅄ21.߈ኔెᒦᄋ৙ࡼਙጙછࡒᄰ൉݆໭ܭă ྀፀFIR൉݆໭ࡼᏇಯĂ࿸ଐਜ਼።፿ ።፿ᒎฉ ࡒᔜ൉݆໭ǖ ඛৈ൉݆໭ࡼࡒ౑ဵݧዹൈࡼ0.1۶ă჈ඣ୓ጲྀੜݧዹൈݷ ᔫăᄋ৙ࡼᒦቦຫൈဵ0.10,0.15,0.20,0.25,0.30,0.35ਜ਼0.40ă ᔜࡒၱିᏖᆐ-110dBLjࡣာ݆໭ࡼ۾࢏ᐅဉဧࡻᑚᒬ࿾ࣞݙ భถဣሚăᄰਭ໪ࣅFFTਜ਼ޠ଑ഺޠࣞૺຳ௿৖ถLjᏴ8ᆡာ ݆໭࿟భጲڳ۾࢏ᐅဉଢ଼ࢅࡵ-100dBmࡼपᆍƽࡣဵLjာ݆ ໭Ᏼক۾࢏ᐅဉᒄ࿟ᎌ෭ቋᏭྲቧ੓ăᒄჅጲభጲࡉࡵᑚዹ ࡼᒎܪLjဵፐᆐFFTดݝ஠ቲ೫ຳ௿ଐႯLjຳ௿৖ถ્ᄋ঱ॊ 13www.tektronix.com/oscilloscopes ᅄ22.ᄋ৙ࡼࡒᔜ൉݆໭ࡼຫሰă ᆪୈ෗߂ ਙጙછ ਙጙછ ࡒ౑ ᒦቦຫൈ bandstop_0.1bw_0.10center.flt 0.1 0.10 bandstop_0.1bw_0.15center.flt 0.1 0.15 bandstop_0.1bw_0.20center.flt 0.1 0.20 bandstop_0.1bw_0.25center.flt 0.1 0.25 bandstop_0.1bw_0.30center.flt 0.1 0.30 bandstop_0.1bw_0.35center.flt 0.1 0.35 bandstop_0.1bw_0.40center.flt 0.1 0.40 ᅄ23.ᄋ৙ࡼਙጙછࡒᔜ൉݆໭ܭă ᅄ24.ᄋ৙ࡼຳઘ൉݆໭ࡼຫሰă ᆪୈ෗߂ ޠࣞ ਙጙછ ࡒᔜ ࡒ౑ ၱିdB smooth3.flt 3 0.1558 -9.4 smooth5.flt 5 0.0903 -12 smooth10.flt 10 0.0446 -12.9 smooth20.flt 20 0.0224 -13.2 smooth50.flt 50 0.00887 -13.2 smooth100.flt 100 0.0045 -13.2 smooth200.flt 200 0.0022 -13.2 ᅄ25.ᄋ৙ࡼຳઘ൉݆໭೰ܭă ຳઘ൉݆໭ǖ ᑚቋ൉݆໭ᎌဟ߂ᆐ௞ተ݆ࠈ൉݆໭Lj჈ඣዘᓹဟମ଑ഺ଼ ࡝࢐ຳ௿ሤ೺ዹ࢛ăᑚቋ൉݆໭ࡼ൉݆໭ᇹၫ࣒ࢀ᎖1/MLj໚ ᒦMဵ൉݆໭ࡼޠࣞă൉݆໭ᆪୈ෗ᒎී೫ຳઘ൉݆໭ࡼޠࣞă ໚ຫሰྙᅄ24Ⴥာă ຳઘ൉݆໭ဵ፱ᎌࠨᎁࡒᔜᄂ࢛ࡼࢅᄰ൉݆໭ăࡣဵLj჈ඣ ᄰޟ፿౶࠭መာࡼਜ૭ᒦབྷࢬ঱ຫᐅဉăᏴဧ፿ဟገᓖፀۣ ᑺ൉݆ࡼቧ੓ࡼᄰࡒገ੪ੑ࢐ൢᏴኡᐋࡼ൉݆໭ࡼᄰࡒपᆍ ดăᑚዹభጲۣᑺᒑབྷࢬᐅဉă߈ኔెᒦᄋ৙ࡼޠࣞဵ3,5, 10,20,50,100ਜ਼200ăݬ୅ᅄ25ਜ਼ᅄ24ă੺ྻਜ૭ࡼ൉݆໭ ޠࣞဵ3Lj཭ઁ౸ྻਜ૭ဵ5Lj཭ઁዳ੺ྻਜ૭ဵ10Ljጞࠥಢ ᅎă Hilbertܤધ൉݆໭ǖ ಯሯࡼHilbertܤધ൉݆໭ᏴჅᎌຫൈ࿟ࡼᐐፄᆐ1LjڳჅᎌຫ ൈࡼቧ੓ሤᆡᆡጤ90ࣞăᑚᒬ൉݆໭ဵRemezୣધႯजᒦభ ጲᒎࢾࡼࣶᒬಢቯᒄጙLjᔢઁጙ጑ݬఠᓾ೯Đၫᔊቧ੓ࠀಯ Ꮗಯਜ਼።፿đᒦ஑࿬೫ᑚᒬႯजăᓖፀLjᑚৈ൉݆໭Ᏼ0- 0.025߇ጲݧዹൈૺᏴ0.475-0.5߇ጲݧዹൈࡼपᆍดມಭ೫ಯ ሯࡼቲᆐᄂ࢛ăభጲဧ፿ᑚᒬ൉݆໭Ᏼ੪౑ࡼຫൈपᆍดࠎ ୐ᑵୣቧ੓ăᑚৈ൉݆໭ࡼᆪୈ෗ဵHilbertTransform90 PhaseShift.fltăݬ୅ᅄ26ă ᆈॊ໭൉݆໭ǖ ಯሯࡼᆈॊ໭ဵጙᒬڳሤᆡᆡጤ90ࣞࡼ঱ᄰ൉݆໭ă໚ຫሰ ࠭DCᒇࡵ0.5࣒ဵሣቶࡼăࡣဵLjᑚጙ࢛ݙྏጵဣሚLjፐࠥ߈ ኔెᒦᄋ৙ࡼ൉݆໭ࡼሰ።ᆐDC-0.45पᆍᄋ৙೫೜ੑࡼᆈॊ ໭ăݬ୅ᅄ27ă ࢒11ᐺǖFIR൉݆໭ࡼᆪୈৃါ ۾ᐺ஑࿬೫დయာ݆໭݆ተၫኧᏥႯݝॊဧ፿ࡼࡀ߼൉݆໭ ࡼASCIIᆪୈৃါăᄰਭဧ፿൉݆໭ݩ࡝৖ถLj፿ઓభጲᒎࢾ ጙৈࠟ๤ᆪୈ෗Lj໚ᒦ۞਺൉݆໭ă፿ઓభጲဧ፿ᑚᒬᆪୈ ৃါLjᆐ൉݆໭Ꮴ኏Ꮵቲࡼඛᒬݧዹൈᒎීݙᄴࡼጙᄁᇹၫă ྙਫݧዹൈ඗ᎌᆡ᎖ᆪୈ೰ܭᒦLjกඐ୓ݙ્࣪ၫ௣።፿൉ ݆໭ăᑚᒬᆪୈৃါથᏤ኏፿ઓᒎࢾਙጙછ൉݆໭ᇹၫૹLj ࠭ऎభጲᏴჅᎌݧዹൈ࿟Ꮵቲᄴጙᄁ൉݆໭ᇹၫă www.tektronix.com/oscilloscopes ྀፀFIR൉݆໭ࡼᏇಯĂ࿸ଐਜ਼።፿ ።፿ᒎฉ 14 ᅄ26.Hilbert൉݆໭ࡼຫሰă ᅄ27.ᆈॊ໭൉݆໭ࡼຫሰă ྀፀFIR൉݆໭ࡼᏇಯĂ࿸ଐਜ਼።፿ ።፿ᒎฉ ASCIIᆪୈਖࢾྙሆǖ # Comments preceded by # symbol < sampleRate > coef1, coef2, č. coefN < sampleRate > coef1, coef2, č. coefN | | | | < sampleRate > coef1, coef2, č. coefN ࣪።ඛጙᒬ൉݆໭ࡼ৔ᔫᄂቶLjᑚቋᆪୈ୓ᎌጙቲၫ௣࣪໚஠ቲࢾፃLjᑚቋၫ௣ࡼ࢒ጙৈဵ৔ᔫݧዹൈLjઁෂஜৌࡼဵሤ።ࡼ ጙᄁ൉݆໭ᇹၫăྙਫ፿ઓ୓ནዹൈᒎࢾ@९੓Ljกඐ൉݆໭୓ᏴჅᎌݧዹൈ࿟Ꮵቲăྙਫᒎࢾ@९੓LjกඐᏴᆪୈᒦᒑ።ᎌ ጙᄁ൉݆໭ᇹၫăࡣဵLj፿ઓጐభጲࢾፃ໚჈ቲLj໚ᒦ۞౪ᒎࢾࡼݧዹൈLjᏴᑚቋݧዹൈሆ൉݆໭৖ถ୓ݙ્৔ᔫă࣪൉݆໭ ገᏥቲࡼඛᒬݧዹൈLj୓ᎌጙৈ࡝ࣖࡼቲ౶ႁීăඛጙቲᎌݙᄴၫ೟ࡼᇹၫLjᔢࡍၫ೟ᆐ1000ৈăᆪୈᒦభጲ۞਺ᔢࣶ20ቲă ਙጙછ൉݆໭ࡼᆪୈดྏဣಿྙሆෂჅာăᑚৈဣಿመာ೫smooth5.fltᆪୈࡼดྏă @ 0.2, 0.2, 0.2, 0.2, 0.2 ሆෂဵ࿸ᒙ߅ጲᄂࢾݧዹൈᏥቲࡼ൉݆໭ဣಿăᑚဵာ݆໭߈ኔెᒦ෗ᆐ200MHz_mult_sample_rates.fltࡼᆪୈࡼดྏă #This is a 4th order Bessel Thompsen low pass filter. #200MHz bandwidth, will operate at any of the following sample rates: # 40 GS/s, 20 GS/s, 10 GS/s, 5 GS/s, 2.5 GS/s, 1 GS/s, 500 MS/s 5e8; 1.968e-007,1.008,-0.00978,0.002267,-0.0002208,1.643e-005,-1.397e-006,1.434e-007 1e9; 9.524e-008,0.3899,0.4877,0.1304,-0.004733,-0.004566,čččččččččč. 2.5e9; 3.868e-008,0.01885,0.1081,0.1982,0.2284,0.1981,ččččččččč 5e9; 1.935e008,0.0007332, 0.009428, 0.02874, 0.05408, 0.07921, ččččččččč.. 1e10; 9.673e-009,3.445e-006,0.0003666,0.001831,0.004714,0.008978,0.01437,0čččččč. 2e10; 4.837e-009, 1.657e-008, 1.723e-006, 4.274e-005, 0.00018334-009, čččččč.. 4e10;2.418e-009, -3.524e-009, 8.284e-009, -1.795e-008,8.613e-007, čččččč. ᔐஉ ۾ᆪ஑࿬೫ᓜඡᑣ࣪დయာ݆໭݆ተၫኧᏥႯݝॊ࿸ଐਜ਼ဧ፿FIRၫᔊ൉݆໭ࡼሤਈቧᇦă۾ᆪ஑࿬೫ຫൈནዹ൉݆໭࿸ଐऱजLj ᑚᒬऱजᏤ኏ာ݆໭፿ઓࠎ୐ࢾᒜ൉݆໭ăࠥᅪLj۾ᆪࢾፃ೫ာ݆໭ดݝᄋ৙ࡼFIR൉݆໭߈ኔెăᑚৈ߈ኔెᆐᄰ፿፿ᅆᄋ৙ ೫ਓमࡼਙጙછFIR൉݆໭ă۾ᆪᄋ৙೫ܘገࡼቧᇦLjဧࡻာ݆໭፿ઓถ৫ᎌ቉ಽ፿DPOာ݆໭ຳგၫኧᏥႯᄁୈᒦᄋ৙ࡼྀ ፀFIR൉݆໭৖ถă 15www.tektronix.com/oscilloscopes ࠤ૏ܭ ௳૩ljဧ፿߇जਜ਼ଝजဣሚ൉݆໭ᏥႯࡼਭ߈ DSPljၫᔊቧ੓ࠀಯ DUTljۻހ࿸۸ FIRljᎌሢߡ૮ሰ። FFTlj౐Ⴅইೂጔܤધ IFFTljनሶ౐Ⴅইೂጔܤધ IIRljᇄሢߡ૮ሰ። ७ࣞሰ።ljࡩੱࢾ७ࣞĂ৉ᒬຫൈࡼ૮಺ቧ੓ଝᏴDUTࡼၒ ྜྷ࣡ဟLjၒ߲ቧ੓৉ৈຫ࢛ࡼሰ።७ࣞᎧຫൈࡼ਽ၫਈᇹă ሤᆡሰ።ljࡩሤᆡᆐ0Ă৉ᒬຫൈࡼ᎜ሖ૮಺ቧ੓ଝᏴDUTၒ ྜྷ࣡ဟLjၒ߲ቧ੓৉ৈຫ࢛ࡼሰ።ሤᆡᎧຫൈࡼ਽ၫਈᇹă ݬఠᓾ೯ Alan V. Oppenheim/Rona. W. Schafer,ၫᔊቧ੓ࠀಯ, Prentice-Hall৛ႊ,1975ฤۈཚჅᎌ,࢒155጑,ISBN 0-13- 214635-5 Lawrence R. Rabiner-Bernard Gold,ၫᔊቧ੓ࠀಯᏇಯਜ਼ ።፿,Prentice-Hall৛ႊ,1975ฤۈཚჅᎌ,࢒75-183጑ Lawrence R. Rabiner-Bernard Gold,ၫᔊቧ੓ࠀಯᏇಯਜ਼ ።፿,Prentice-Hall৛ႊ,1975ฤۈཚჅᎌ,࢒187-204጑ ᔫᑗ: John J Pickerd 1. 2. 3. დయపଆ(ᒦਪ)ᎌሢ৛ႊ ࿟਱ှ໌ࣁቤཌࠂ༙വ1227੓ ᎆܠǖ201206 ࢟જǖ(86 21)5031 2000 ࠅᑞǖ(86 21)5899 3156 დდయయ۱۱யயێێူူࠀࠀ ۱யှ਱ࢥཌઔᏊവ4੓ ᄰੱࡍሇ1ണ101၀ ᎆܠǖ100088 ࢟જǖ(86 10)6235 1210/1230 ࠅᑞǖ(86 10)6235 1236 დდయయ࿟࿟਱਱ێێူူࠀࠀ ࿟਱ှஸڔཌዓڔᒦവ841੓ ࣁऱ਱ᅪࡍሇ18ണ1802-06၀ ᎆܠǖ200040 ࢟જǖ(86 21)6289 6908 ࠅᑞǖ(86 21)6289 7267 დდయయਓਓᒳᒳێێူူࠀࠀ ਓᒳှણှࣁവ403੓ ਓᒳਪଔ࢟ᔇࡍሇ2807A၀ ᎆܠǖ510095 ࢟જǖ(86 20)8732 2008 ࠅᑞǖ(86 20)8732 2108 დდయయ࿾࿾ᚆᚆێێူူࠀࠀ ࿾ᚆှ൜ઌཌ࿾ฉࣁവ5002੓ ቧቭਓޝ࢐ᅽ࿜ጓࡍሇG1-02၀ ᎆܠǖ518008 ࢟જǖ(86 755)8246 0909 ࠅᑞǖ(86 755)8246 1539 დდయయ߅߅࣒࣒ێێူူࠀࠀ ߅࣒ှཽ෍ฉവጙࣤ86੓ ߃ှᒄቦ23ށD-Fᔭ ᎆܠǖ610016 ࢟જǖ(86 28)8620 3028 ࠅᑞǖ(86 28)8620 3038 დდయయᇝᇝڔڔێێူူࠀࠀ ᇝڔှࣁࡍ୾ ᇝڔ఑Ꮭ(ڄळড়)भࢢ322၀ ᎆܠǖ710001 ࢟જǖ(86 29)8723 1794 ࠅᑞǖ(86 29)8721 8549 დდయయᇊᇊੈੈێێူူࠀࠀ ᇊੈှᇊޛཌ෍ᓍവ788੓ ڹඑਕࡍௌࢢ924၀ ᎆܠǖ430071 ࢟જǖ(86 27)8781 2760/2831 ࠅᑞǖ(86 27)8730 5230 დდయయሧሧভভێێူူࠀࠀ ሧভᄵ൞ᅭᇧဇࡸ33੓ ಽᏊ3501၀ ࢟જǖ(852)2585 6688 ࠅᑞǖ(852)2598 6260 ۈཚჅᎌ 2005,Tektronix,Inc.ཝཚჅᎌăTektronixޘອ၊ගਪਜ਼ᅪਪᓜಽཚ(۞౪ጯནࡻࡼਜ਼ᑵ Ᏼ࿺༿ࡼᓜಽཚDžࡼۣઐă۾ᆪᒦࡼቧᇦ୓ནࡔჅᎌጲ༄߲ۈࡼᓾ೯ᒦࡼቧᇦăۣഔৎখޘອਖ ৃਜ਼ଥৃࡼཚಽăTEKTRONIXਜ਼TEKဵTektronix,Inc.ࡼᓖݿ࿜ܪă፛፿ࡼ໚჈Ⴥᎌ࿜ܪ෗߂௿ ᆐჇඣ৉ᔈ৛ႊࡼॲᇗܪᒔĂ࿜ܪ૞ᓖݿ࿜ܪă 1/06 FLG/WWW 4HC-19378-0 ྙއఘဍ଀ቧᇦLj༿षᆰᆀᒍǖWWW.TEKTRONIX.COM ©