AN-940 ᆌᆩԴऻ One Technology Way t P.O. B ox 9106 t Norwood, MA 02062-9106 t Tel: 781/329-4700 t Fax: 781/326-8703 t www.analog.com ፌॅሯำႠీǖگሯำٷݣഗስኸళ ፕኁǖPaul Lee ० ړኍگܔሯำᆌᆩೠࠚٷݣഗڦႠీ้Lj୯ᅺ໎ኮᅃ ሯำLjԈઔాևሯำࢅྔևሯำăԨᆌᆩԴऻॽ०ᄲ༑༪ ᆶ࠲ాևࢅྔևሯำڦएԨᇱLjժኸሞྺگሯำยऺ ስፌॅٷݣഗ้ภतڦڟ࢚࿚༶ă ྔևሯำ ాևࢅྔևሯำᇸኮक़٪ሞᅃۨ൶՚ăྔևሯำᅜԈઔ ඪࢆྔևᆖၚLjԲසྔևഗॲࢅۉഘ/߅ىۉඡڪă߅ඡ ኸᅜۉუईୁۉႚ๕٪ሞڦඪࢆᆩ႑ࡽLj़ీ٪ሞᇀ ٷݣഗᆅগتLjᄺీ٪ሞᇀ၎࠲ۉڦୟዐă߅ඡీ ၄ྺॖރĂሂĂኟ၀հࢅໜऐሯำڪă߅ඡᅜઠጲඪ ࢆݛںǖऐႁĂଣৎۉ૰၍Ăพೕ݀พഗईথഗĂऺ໙ ऐฯཞᅃยԢዐۉڦୟ)नຕጴۉୟईਸ࠲႙ۉᇸ*ăन ๑्ยᅜཚࡗዜڦยऺࢅ/ईۉୟӱքਆք၍ઠၩأ ᆶ߅ඡLjٷݣഗतഄ၎࠲ۉୟዐڦഗॲධׂࣷิໜऐሯ ำă ዜྷۉୟഗॲׂิڦሯำᄺՂႷ୯ăړ࿒ߛ܈ᇀਨܔଭ ้܈LjᆶۉፆۼሯำᇸLjኄᆯᇀሜࢁጱׂิඤሏۯ ܸሰڦׯࡕLjྺሀࡪსሯำईඤሯำăኄዖሯำໜۉ ፆĂ࿒ڦټࢅ܈ሺेܸืߛăۉუࢅୁۉሯำऺڦ໙ࠅ ๕සူ๖ǖ Vn = 4kTBR ഄዐǖ Vnۉუሯำă k๖իܻጦதຕ(1.38 × 10-23 J/K)ă T๖ਨܔ࿒ڇ)܈࿋ǖKelvin*ă B๖ڇ)ټ࿋ǖHz*ă R๖ۉፆ)ڇ࿋ǖΩ*ă (1 ) In = 4kTB R (2 ) ഄዐǖ Inۉუሯำă k๖իܻጦதຕ(1.38 × 10-23 J/K)ă T๖ਨܔ࿒ڇ)܈࿋ǖKelvin*ă B๖ڇ)ټ࿋ǖHz*ă R๖ۉፆ)ڇ࿋ǖΩ*ă ᅃӯܸჾLjሞ࿒ူLjᅃ߲1 kΩۉፆڦሯำሀྺ4 nV/√Hză ሞႜศݴဆ้Lj࣏Ⴔ୯ۉፆڦഄሯำᇸLjසۅة ሯำĂො૭ሯำᅜतᇑ༬ۨۉፆ႙ࡽ၎࠲ڦसิሯำăሞ ԨᆌᆩԴऻዐLj்ኻ༪ஃሀࡪსሯำLjᅺྺኄዖሯำᇑ ۉፆኵڦೝߵݛׯԲ૩ڦă ੇۉփׂࣷิሯำLjڍཚࡗڦੇۉሯำୁۉඐׂࣷิሯำ ۉუࢅ၎࠲सิሯำă ᄲইۉگୟڦሯำLjཚࡗইۉگୟዐڦഗॲጺۉፆ ई၌ۉୟټăܸLjইگ࿒܈ᅃӯᆩتփٷLjీݥأ ๑ۉፆ࿒܈ইटڦگೝLjᅺྺሯำࠀ୲ᇑਨܔ࿒܈ ׯԲ૩ڦLj T(x)DŽڇ࿋ǖKelvinDž= x°C + 273.15° (3) ۉୟዐڦᆶۉፆׂࣷิሯำLjՂႷ๔ዕ୯்ڦᆖ ၚăํाฉLjኻᆶࢅݒઍཚڢዐۉڦፆ)ཚሞߛሺᅮ ದዃዐ*ᆶీۉܔୟጺሯำׂิডڦٷᆖၚăሯำ़ණ ྺઠጲୁۉᇸLjᄺණྺઠጲۉუᇸ)ሞ़ۨۉୟዐLjྫྫ ֑ᆩᅃዖՍᇀتڦႚ๕*ă Rev. A | Page 1 of 12 AN-940 Application Note ణ ० ..................................................................................................... 1 “Ԗࢾ”ሯำ ............................................................................. 5 ྔևሯำ ............................................................................................ 1 ۠ेሯำᇸ ................................................................................ 5 ాևሯำ ............................................................................................ 3 ሯำሺᅮ .................................................................................... 6 ຺ૌాևሯำ .................................................................................... 4 ስگሯำሏ໙ٷݣഗ ................................................................ 7 ችࢇڟۉڦ܋უሯำ ....................................................... 4 ஃ ..................................................................................................... 9 ችࢇڟୁۉڦ܋ሯำ ....................................................... 4 ֖ጨଙ ........................................................................................... 12 ຮሯำ .................................................................................... 5 Rev. A | Page 2 of 12 Application Note AN-940 ాևሯำ ٷݣഗాڦևሯำݴᅜူबૌǖ ሞٷݣഗ܋Ljሯำཚᅜۉუڦႚ๕၄ઠLj ܸLjኄዖሯำඐۉუᇸࢅୁۉᇸࠌཞׂิڦăᅃӯઠ Ljᆶాևሯำᇸۼԥች໙ڟ܋Ljᄺ৽ຫLjాև ሯำᇸۼԥړፕᇑၙڦሯำٷݣഗڦ၎زईժ ڦփ၎࠲ई܀૬ڦໜऐሯำ݀ิഗ)९1*ăᆯᇀኄၵሯ ำᇸԥྺໜऐሯำLjժ/ई၄ྺፏთߛຯݴքLjᅺُLj ሞ۠ेሯำᇸ้LjႴᄲ༬՚ጀᅪLjၘဦాඹස“۠ेሯำ ᇸ”ᅃবຎă • ችࢇڟۉڦ܋უሯำ සࡕཞᅃ߲ሯำሞۉୟዐ၄ሞ2߲ईᅜฉ)ۅڦԲසLj ೋዃୁۉցۉୟ*Ljఫኄଇ߲ሯำᇸྺ၎࠲ሯำᇸLj ሞݴဆሯำࢪ้ڦLjᆌ୯ڟ၎࠲ሯำ۠ेᅺጱڦᅺ ໎ăኄೊᆌᆩԴऻժுᆶ߸ڦܠ༪ஃ၎࠲ሯำLjᅺྺᅃӯ ൧ူ၎࠲ሯำᇸڦᆖၚᅃӯۼၭᇀ10%ईኁ15%Ljժ ྫྫᅜԥูۖă • ችࢇڟୁۉڦ܋ሯำ • ො૭ሯำ • “Ԗࢾ”ሯำ ችࢇڟۉڦ܋უሯำࢅችࢇڟୁۉڦ܋ሯำݣ ٷഗሯำݴဆዐፌ९ڦኸՔăཚۨᅭྺችࢇڟ܋ ڦࡧ܈ຕईΔfټዐԈࡤڦ(ߵݛRMS)ሯำኵLj ᅃӯᅜnV/√Hz)ۉუሯำ*ईpA/√Hz)ୁۉሯำ*ྺڇ࿋ă๑ ᆩ/√HzڦᇱᅺሞᇀLjሯำࠀ୲ໜ(ټHz)ܸሺेLjईኁLj ۉუࢅୁۉሯำ܈ໜڦټೝߵݛኵ(√Hz)ܸሺे)९ࠅ ๕1ࢅࠅ๕2*ă Rev. A | Page 3 of 12 AN-940 Application Note ຺ૌాևሯำ Ԩবॽถችࢇڟۉڦ܋უሯำĂችࢇڟۉڦ܋ ୁሯำĂຮሯำࢅ“Ԗࢾ”ሯำă en + – in in R2 ችࢇڟୁۉڦ܋ሯำ(in)ཚ၄ྺཚࡗଇֶ߲ݴ ܋ڦୁۉଇ߲ሯำୁۉᇸă ො૭ሯำ)ᆶ้ྺၰ༬एሯำ*ᆯᇀୁࡗగ߲ૉ)සᅃ ߲PN*ୁۉڦዐڦሜࢁጱໜऐݴքׂܸิୁۉڦሯำă ො૭ሯำ(ୁۉin)ཚࡗᅜူࠅ๕ऺ໙ڥǖ R1 in = 2 I B qB 07053-001 –+ RS ችࢇڟୁۉڦ܋ሯำ 1 ሏ໙ٷݣഗሯำఇ႙ ችࢇڟۉڦ܋უሯำ ችࢇڟۉڦ܋უሯำ(en)ཚԥྺᅃዖሯำۉუᇸ ۉუሯำঢ়ԥഽۙڦሯำኸՔǗܸLjසࡕፆੇ ডߛLjୁۉሯำྫྫࣷྺׯဣཥሯำႠీڦሀᅺ໎ăኄ ᇑ฿ۙۉუटྺૌຼLj฿ۙۉუཚྺׯ฿ۙڦ ༺ፍᄜLjܸํाฉLjړፆੇডߛ้Ljሰׯ฿ۙڦ ፍઋऌೋዃୁۉă ഄዐǖ IB๖ೋዃڇ)ୁۉ࿋ǖA*ă q๖ۉጱڇ)ࢁۉ࿋ǖ1.6 × 10-19 C*ă B๖ڇ)ټ࿋ǖHz*ă ०ڇມट႙ࢅJFETሏ໙ٷݣഗୁۉڦሯำཚሞೋዃ ڦୁۉො૭ሯำڦ1 dBई2 dBኮాăኸՔժփঢ়ଚᇀຕ ֩ኮዐă ܔᇀችࢇڟڦ܋ሯำLjႴጀᅪᅜူबۅǖ • ܔᇀችࢇڟۉڦ܋უሯำLjႴጀᅪᅜူबۅǖ • ܔᇀፌߛႠీڦሏ໙ٷݣഗLjۉუሯำీگᇀ1 nV/√Hză • ມट႙ሏ໙ٷݣഗۉڦუሯำࣷگᇀFETሏ໙ٷݣഗLj ڍഄୁۉሯำࣷ၂ডٷă • ມट႙ٷݣഗڦሯำ༬Ⴀൽਦᇀৢༀୁۉă • ၄ሞڦFETሏ໙ٷݣഗీࠕሞइୁۉگڥሯำڦཞ้Lj इڥᇑມट႙ٷݣഗႠీ၎ৎۉگڦუሯำLjړᇑ ፌࡻڦມट႙ٷݣഗ࣏ᆶᅃၵֶਐă (4 ) ۆ႙ڦມट႙ৗ༹࠶ሏ໙ٷݣഗLjසOP27Ljୁۉሯำྺ 400 fA/√Hz, IB = 10 nA.أೋዃୁۉցٷݣഗྔLjփࣷ ໜ࿒ޗٷิܸ݀܈Վࣅă • JFETሏ໙ٷݣഗ)සAD8610ǖ5 fA/√HzLjഄዐLjIB = 10 pA*ୁۉڦሯำ࠶ฎگLjڍႊೌ࿒܈ሺे20°CLj ഄୁۉሯำ৽ࣷሺेᅃԠLjᅺྺ࿒܈ሺे10°CLj JFETሏ໙ٷݣഗڦೋዃࣷୁۉሺेᅃԠă • دཥټڦೝ࢚ۉڦუݒઍሏ໙ٷݣഗཚሞഄݒ၎ ࢅཞ၎܋ਏᆶ၎)ڦڪ၎࠲ईփ၎࠲ୁۉ*ڦሯำă • ႹٷݣܠഗLjᆮഄఫၵټೋዃୁۉၩۉأୟݣڦ ٷഗLjഄ၎࠲ሯำݴׯԲփ၎࠲ሯำܠڥٷݴׯăጺ ༹ܸჾLjཚࡗཁेፆੇೝ࢚ۉፆ)๑ኟᆅগฉ ڦፆੇ၎ದ*ઠ߀ሯำႠీă Rev. A | Page 4 of 12 Application Note AN-940 ຮሯำ “Ԗࢾ”ሯำ ሏ໙ٷݣഗڦሯำਏᆶߛຯ༬ႠLjഄ)܈ӣሯำ*ሞড ೕ୲ྺాྷݔᅃ߲ຕăໜጣೕ୲ူڦইLjሰ߾ ᅝĂICഗॲքਆࢅഗॲૌ႙ڦᆖၚLjॽ܈ਸ๔Ӏᅜူ ୲ืߛǖ3 dB/Ԡೕ)ײCMOSٷݣഗ*Ǘ3.5 dB4.5 dB/Ԡೕ )ײມट႙ٷݣഗ*Ǘईፌߛ5 dB/Ԡೕ)ײJFETٷݣഗ*ă “Ԗࢾ”ሯำᅨྺໜऐሯำLj฿ۙۉუईڦୁۉ ՎࣅLjჄ้क़ྺຕྲ௱LjናٗޗबμVڟबӥμVփڪă ኄዖԖଛई“Ԗࢾ”ሯำໜऐڦăཚLjگ࿒ࢅߛᇸፆ ੇཉॲူፌᅟᇀׂิ“Ԗࢾ”ሯำă࠶ڞዂ“Ԗࢾሯ ำ”ߵڦԨᇱᅺժփਨڦܔLjڍৗ߭ዐ٪ሞূڦຌක ᅜतాևई௬ඍ။ۼీ๑ICׂิ“Ԗࢾ”ईԖଛሯ ำăሞ၄پৗᇶሰዐLjට்ࢾକٷଉ૰ઠ३ณ “Ԗࢾ”ሯำߵڦᇸLjྜڍඇߵأփీڦă߸ศڦ ܔԖࢾሯำݴڦဆᅙঢ়גକ்ኄೊ࿔ቤႴᄲ༑༪ڦ ྷݔă ኄዖگೕሯำ༬Ⴀԥྺຮሯำई1/fሯำLjᅺྺሯำࠀ ୲܈ᇑೕ୲ݒװԲ࠲ဣ(1/f)ăሞܔຕፖՔዐၽ୲ྺ-1ă -3 dB/Ԡೕ)ײCMOSૌٷݣഗ*ླྀྔڦ܈၍ᇑټຕ ܈ኵ၎ڦೕ୲ԥྺ1/fঙೕ୲Ljܸٷݣഗڦᅃ ߲ዊᅺຕ)९2*ăມट႙ࢅJFETٷݣഗڦ1/fঙೕ୲ཚ گᇀCMOSٷݣഗă ۠ेሯำᇸ සࡕሯำᇸփ၎࠲)नᅃዖሯำ႑ࡽ݆ገ࣑ྺଷᅃዖሯำ ႑ࡽ*Lj၎ेڦࡕժփڪᇀഄ໙ຍࢅLjܸڪᇀഄೝࢅݛ ڦೝߵݛă 100 EXTRAPOLATED 1/f SPECTRAL NOISE DENSITY 1 EXTRAPOLATED CONSTANT SPECTRAL NOISE DENSITY 1/f CORNER FREQUENCY 1 10 100 FREQUENCY (Hz) 2 ሯำ܈ ൩ጀᅪᅜူ๚ၜǖ 1k 10k t ཞ၎ዐڦඪࢆۉፆۼਏᆶሀࡪსሯำLjժॽୁۉሯ ำገ࣑ྺۉუሯำă t ሞߛፆੇۉୟዐLjݒઍۉፆዐڦሀࡪსሯำᆶీׂิ ডٷᆖၚă 3ᅜࠎࠣۨ࠵ቛ๖କࠅ๕5ዐڦၠଉ൱ࢅ݆ă Vni, TOTAL en Vn (REX) RS × in 3 ሯำᇸၠଉ൱ࢅ Rev. A | Page 5 of 12 07053-006 0.1 0.1 (5) ഄዐǖ Vni, TOTAL๖ችࢇڟ(܋RTI)ڦጺሯำă en๖ችࢇڟۉڦ܋უሯำă in๖ችࢇڟୁۉڦ܋ሯำă RS๖ٷݣഗڪڦၳᇸۉፆईۉፆă Vn (REX)๖ઠጲྔևۉୟۉڦუሯำă 10 07053-005 VOLTAGE NOISE (nV/ Hz) Vni,TOTAL = (en) 2 + (RS × in) 2 + Vn(REX) 2 AN-940 Application Note OP AMP NOISE MODEL COMBINED RTI NOISE (Vni, TOTAL) en + RESISTOR NOISE RS – RESISTOR NOISE R2 –+ in + – in R1 RESISTOR NOISE R1 R2 07053-007 –+ 4 ०ࣅٷݣഗሯำۉୟ ᅜฉ༪ஃ߳ڦዖٷݣഗۉୟሯำࡃྺችࢇڟ(܋RTI) ڦሯำăᄲऺ໙ٷݣഗۉୟڦጺሯำLjՂႷᆩٷݣഗ ۉୟڦሯำሺᅮױᅜዐڦጺࢇׯሯำăሯำሺᅮݣ ٷഗۉୟችࢇڟڦ܋ሯำڦሺᅮLjཚᆩઠಒٷݣ ഗۉୟڦ࿘ۨႠă ሞగၵ൧ူLjሯำሺᅮࢅ႑ࡽሺᅮժփ၎(ڪ९5)ăႴ ጀᅪڦLjԿ࣍ټཚࡗᆩሺᅮټओ(ईڇ࿋ሺᅮೕ୲) أᅜٷݣഗۉୟڦሯำሺᅮઠऺ໙ă NOISE SOURCE ྺକ०ࣅሯำሺᅮऺ໙Ljᅜॽ1๖ٷݣഗۉୟ० ዐڦሯำᇸ०ࣅྺᅃ߲RTIጺሯำᇸ(Vni, TOTAL)Ljස4๖ă ᅃዖ९ፔ݆ॽጺࢇׯRTIሯำᅃْႠችࢇٷݣڟഗڦ ཞ၎܋ă Vno,TOTAL = GN × Vni,TOTAL ഄዐǖ Vno, TOTAL๖ችࢇڟ)܋SUP*ڦጺሯำă Vni, TOTAL๖ችࢇڟ)܋SUJ*ڦጺሯำă ! R1 GN = 1 + R2 + CASE 1: SIGNAL SOURCE – CASE 2: SIGNAL SOURCE R2 R1 07053-008 ሯำሺᅮ 5. ႑ࡽሺᅮᇑሯำሺᅮ ൧ႚ1ǖሞཞ၎ದዃዐLj႑ࡽሺᅮࢅሯำሺᅮڪۼᇀ1 + R1/R2ă ൧ႚ2ǖሞݒ၎ದዃዐLj႑ࡽሺᅮڪᇀ–(R1/R2)Ljܸሯำሺ ᅮධڪᇀ1 + R1/R2ă ഄዐǖ GN๖ሯำሺᅮă R1๖ݒઍڪၳፆੇă R2๖ڪၳፆੇ Rev. A | Page 6 of 12 Application Note AN-940 ስگሯำሏ໙ٷݣഗ සࡕగ߲ٷݣഗڦሯำࠋ၅၎ܔᇀᇸۉፆᅜࢮփऺLj ሶཚࡗሏ໙ٷݣഗڦዊᅺຕRS, OPઠႜስăኄᅜཚ ࡗٷݣഗڦሯำኸՔઠऺ໙ǖ සࡕൻۯᅃ߲ټᆶᅃۨᇸۉፆڦሏ໙ٷݣഗLjڪၳሯำ ሶڪᇀᅜူ߳ၜೝڦࢅݛೝߵݛǖٷݣഗۉڦუሯำǗ ᇸۉፆׂิۉڦუǗᅜतୁࡗᇸፆੇٷݣڦഗୁۉሯำ ׂิۉڦუă RS , OP = සࡕᇸۉፆၭLjሶᇸۉፆׂิڦሯำࢅٷݣഗୁۉڦሯ ำܔጺሯำڦᆖၚփٷăኄዖ൧ူLjڦ܋ሯำํा ฉኻሏ໙ٷݣഗۉڦუሯำă en in (7) ഄዐǖ en๖ችࢇڟۉڦ܋უሯำă in๖ችࢇڟୁۉڦ܋ሯำă සࡕᇸۉፆডٷLjᇸۉፆڦሀࡪსሯำీᇺߛᇀሏ໙ݣ ٷഗۉڦუሯำࢅᆯୁۉሯำׂิۉڦუăڍႴᄲጀᅪLj ᆯᇀሀࡪსሯำৈໜۉፆڦೝܸߵݛሺLjܸୁۉሯำ ᆖၚڦሯำۉუᇑፆੇׯኟԲ࠲ဣLjᅺܸܔᇀፆ ੇኵፁࠕߛڦ൧Ljٷݣഗୁۉڦሯำॽྺׯዷڞăݣړ ٷഗۉڦუࢅୁۉሯำፁࠕߛ้Ljሞඪࢆۉፆኵ൧ ူLjሀࡪსሯำۼփࣷዷڞă 6ߴڦ1 KHzူLjܠዖADIߛუ)ፌߛ44 V*ሏ໙ٷݣഗ ۉڦუሯำܔ܈ᇑRS, OP࠲ဣڦԲডLj1 kHzăၽ၍၂๖କ ᇑۉፆ၎࠲ڦሀࡪსሯำă 100 f = 1kHz en @ 1kHz JOHNSON NOISE LINE OF SOURCE RESISTANCE OP285 OP467 OP271 VOLTAGE NOISE (nV/ Hz) 10 OP275 AD8610/ AD8620 OPx177 OP213 OPx84 OP270 OP27/OP37 AD743/AD745 ADA4004-4 AD8597/AD8599 1 0.1 10 100 1k 10k SOURCE RESISTANCE (Ω ) 6 ADIࠅິٷݣڦഗሯำፖՔ Rev. A | Page 7 of 12 100k 1M 07053-002 AD797 AN-940 Application Note ߵሏ໙ٷݣഗຕ֩ዐڦຕ)९8*Ljᅜྺగ߲ ۨೕ୲ፕૌຼڦ൸၍ă૩සLjAD8599ڦችࢇڟ܋ ۉڦუሯำሀྺ1.07 nV/√HzLjችࢇڟୁۉڦ܋ሯำྺ 2.3 pA/√Hz)1 kHz*ăഄRs,OPኵሀྺ465 Ω)1 kHz*ăଷྔLjႴᄲ ጀᅪᅜူबۅǖ 2. ሞሀࡪსሯำ၍ฉඓۨߴۨᇸۉፆڦ࿋ዃLjස1 kΩă t ᇑഗॲ၎࠲ڦሀࡪსሯำڪၳᇀሀྺ69.6 Ωڦᇸۉፆ )९6*ă ࿋ᇀ၍ཉᆸူٷݣڦݛഗྺᆩᇀణՔยऺڦᆫዊگሯ ำሏ໙ٷݣഗLjස3ᅽᆖևݴ๖ă t ܔᇀࡗג465 ΩڦᇸۉፆLjٷݣഗୁۉሯำׂิڦሯำۉ უࣷࡗגᇸۉፆׂิڦሯำۉუǗٷݣഗୁۉڦሯำ ྺׯዷᄲሯำᇸă ሞ 7 ๖ ૩ ጱ ዐ Lj ᆩ ᇀ ణ Ք ย ऺ ڦᆫ ዊ ׂ ᆶ ǖ AD8597Ă AD8599Ă AD797Ă ADA4004-4Ă OP270Ă OP27/OP37ĂAD743/AD745ࢅOP184ă 3. ٗڼ2օඓۨۅڦၠፖՔᆸ֨ࣃᅃཉೝ၍ă 4. ٗڼ2օඓۨۅڦၠፑူࣃݛᅃཉ၍၍ăၽ୲ྺLj ူই10Ԡۉუሯำሶူই10Ԡۉፆă ැᇡ๑ᆩ)९7*Lj൩ኴႜڼ1ڼ4օă 1. ཚ൧ူLjᇸۉፆᅙኪ)ڦසߌدഗፆੇ*ăසࡕփ ኪۉڢፆኵLjሶߵዜྷڦईമۉڦ܋ୟഗॲႜऺ ໙ă 100 f = 1kHz en @ 1kHz JOHNSON NOISE LINE LOW NOISE BOUNDRY IDEAL OP AMPS FOR A LOW NOISE APPLICATION OP285 AD8610/ AD8620 OP467 OP271 VOLTAGE NOISE (nV/ Hz) 10 STEP 2 OP275 OPx177 STEP 3 OP213 OPx84 OP270 OP27/OP37 AD743/AD745 ADA4004-4 AD8597/AD8599 1 AD797 0.1 10 100 1k 10k SOURCE RESISTANCE (Ω ) 7 ྺگሯำยऺስሏ໙ٷݣഗ Rev. A | Page 8 of 12 100k 1M 07053-003 STEP 4 Application Note AN-940 ஃ ሞኍگܔሯำยऺೠࠚٷݣഗሯำႠీ้Ljᆌ୯ᆶയ ሞሯำᇸă ܔᇀۉፆႠሯำᇸLj൩ፏთᅜူࡀሶǖ ߁ઔܸჾLjཚࡗᅜူݛ๕३ณईၩ߅أඡ႑ࡽǖ tߵᆌᆩڦႴᄲઠ၌ټă tీইۉگፆኵă t๑ᆩگሯำۉፆLjස֑ᆩূٷຌԋೌĂ၍ජ๕ࢅূຌԋఈ रຍۉڦፆă tీ३ณۉፆႠሯำᇸڦຕଉă t ሞስADIگሯำٷݣഗ้Ljዺ8ࢅ9LjժᅜԨᆌ ᆩԴऻ༪ஃڦՔጚྺᅈă tଆࡻڦք၍रຍLjᅜ३ณसิၳᆌă tଆࡻڦথںरຍLjසຕጴথࢅںఇెথ߰ڦںă tଆࡻڦೡԸă ᆶ࠲ሯำܠ߸ڦ႑တLj൩֖ለĖߌدഗ႑ࡽۙۉୟዐڦ ሯำᆫࣅė(Noise Optimization in Sensor Signal Conditioning Circuit)ᅃ࿔Ljྪǖhttp://www.analog.com/noiseoptimization ሏ໙ٷݣഗڦዷᄲሯำࠋ၅ൽਦᇀᇸۉፆLjਏ༹සူǖ t3S3S, OPǗችࢇڟୁۉڦ܋ሯำᆫă t3S3S, OPǗٷݣഗሯำࢮǗۉፆሯำᆫă t3S3S, OPǗችࢇڟۉڦ܋უሯำᆫă Rev. A | Page 9 of 12 Application Note 8 10 20 15 10.5 5.7 0.9 1.07 0.7 12 2.7 2.2 1.8 50 0.2 10 2.5 3.4 2.8 0.3* — 10 2 40 111 106 75 75 0.2 0.3 10 10 2.5 4 2.9 3.5 2.8 2.8 0.3* 0.3* — — 10 10 2 12 40 30 114 100 120 110 1 1/ 2/ 4 1000 100 100 0.3 0.3 0.3 6.5 8 40 12 2.8 17 2.25 5.7 4.7 2.8 3.2 3.2 1.2 0.4 0.4 2333 8000 8000 5 2.7 2.7 100 80 75 40 30 30 110 100 100 106 140 140 2 1 1 2/ 4 1 1 TCVOS (μV/°C) AD797 AD8597/ AD8599 10 TO 36 9 TO 36 40 120 0.2 0.8 ADA4004-1/ ADA4004-2/ ADA4004-4 AD8676 10 TO 36 125 10 TO 36 AD8675 AD8671/ AD8672/ AD8674 10 TO 36 10 TO 36 ±4.5 TO ±18 8 TO 44 8 TO 44 OP270 OP470 AD743 AD745 in @ 1 kHz (nV√Hz) ፌٷ ISY/AMP (mA) ፌٷ VOS (μV) ADA4075-2 OP27 OP37 en @ 1 kHz (nV√Hz) უӦ୲ (V/μs) VSY (V) ׂ ႙ࡽ GBP (MHz) RS, OP @ 1kHz (Ω) 1/f ঙ (Hz) ፌٷ IB (nA) ISC (mA) ፌၭ CMRR (dB) ፌၭ PSRR (dB) 2 2.3 450 465 60 9 900 200 80 52 120 120 120 120 1 1/ 2 1.2 1500 5 90 25 110 110 1/ 2/ 4 2 ٷݣഗ ຕଉ 9 TO 36 75 0.2 5 2.4 3.25 3.2 0.6 5333 5 20 15 106 110 9.6 TO 36 9.6 TO 36 1000 500 2 2 4.5 20 2.8 12.5 10 10 3.2 3.2 0.0069 0.0069 463,768 463,768 50 50 0.4 0.25 40 40 80 90 90 100 3 TO 36 100 0.2 4.25 4 2 3.9 0.4 9750 10 450 10 86 90 2.7 TO 5.5 250 0.4 28 11 4.5 4 — — 3000 0.01 220 85 88 OP113 / OP213/ OP413 4 TO 36 150 0.2 3.4 1.2 3 4.7 0.4 11,750 10 600 40 96 100 1/ 2/ 4 SSM2135 OP285 4 TO 36 9 TO 36 2000 250 — 1 3.5 9 0.9 22 3 2.5 5.2 6 0.5 0.9 10,400 6667 3 125 750 350 30 30 87 80 90 85 2 2 AD8610/ AD8620 OP275 10 TO 27 100 0.5 25 60 3.5 6 0.005 1,200,000 1000 0.01 65 90 100 9 TO 44 1000 2 9 22 2.5 6 1.5 4000 2.24 350 14 80 85 1/ 2 2 OP467 OP471 OP1177/ OP2177/ OP4177 AD8510/ AD8512/ AD8513 9 TO 36 9 TO 36 5 TO 36 500 1800 60 3.5 4 0.2 28 6.5 1.3 170 8 0.7 2.5 2.75 0.5 6 6.5 7.9 0.8 0.4 0.2 7500 16,250 39,500 8 5 10 600 60 2 40 10 25 80 95 120 96 95 120 9 TO 36 400 1 8 20 2.5 8 — — 100 0.08 70 86 86 OP184/ OP284/ OP484 AD8655/ AD8656 1/ 2/ 4 1/ 2 4 4 1/ 2/ 4 1/ 2/ 4 AD8651/ AD8652 AD8646/ AD8647/ AD8648 2.7 TO 5.5 350 4 50 41 14 8 0.025 320,000 10000 0.01 80 80 76 2.7 TO 5.5 2500 1.8 24 11 1.5 8 — — 1000 0.001 120 67 63 AD8605/ AD8512/ AD8513 AD8691/ AD8692/ AD8694 OP162/ OP262/ OP462 OP07 2.7 TO 5.5 300 1 10 5 1.2 8 0.01 800,000 500 0.001 80 85 80 2.7 TO 6 2000 1.3 10 5 1.05 8 0.05 160,000 3000 0.001 80 70 80 2.7 TO 12 325 1 15 13 0.8 9.5 0.4 23,750 10 600 30 70 60 6 TO 36 75 0.3 0.6 0.3 4 9.6 0.12 80,000 100 4 30 106 94 1/ 2/ 4 1(SD)/ 2(SD)/ 4(SD) 1/ 2/ 4 1 OP07D 8 TO 36 150 0.5 0.6 0.2 1.3 10 0.074 135,135 8 1 30 120 115 1 AD8677 AD8615/ AD8616/ AD8618 AD8519/ AD8529 AD8665/ AD8666/ AD8668 AD8661/ AD8662/ AD8664 8 TO 36 2.7 TO 5.5 130 500 0.5 1.5 0.6 24 0.2 12 1.3 2 10 10 0.074 0.05 135,135 200,000 8 1000 1 0.001 30 150 120 80 115 70 2.7 TO 12 1100 2 8 2.9 1.2 10 0.4 25,000 80 300 70 63 60 5 TO 16 2500 3 4 3.5 1.55 10 0.1 100,000 1000 0.001 140 90 98 5 TO 16 160 4 4 3.5 1.55 12 0.1 120,000 1000 0.001 140 90 95 1 1/ 2/ 4 1/ 2 1/ 2/ 4 1/ 2/ 4 OP97 OP297 OP497 OP777/ OP727/ OP747 4 TO 40 75 0.3 0.9 0.2 0.38 14 0.02* 1,166,667 200 0.15 10 110 110 3 TO 36 100 0.3 0.7 0.2 0.35 15 0.13 115,384 20 11 30 110 120 1.8 TO 6 3500 2 7 8 1.2 15 1.2 12,500 200 450 10 60 90 AD8517/ AD8527/ *൩ׂ֖ຕ֩इၘ߸ڥဦڦཉॲă 8 ADIگۉუሯำٷݣഗ႙ Rev. A | Page 10 of 12 1/ 2 1/ 2(SD)/ 4 1/ 2/ 4 1/ 2/ 4 1/ 2/ 07053-004 AN-940 AN-940 VSY (V) ፌٷ VOS (μV) TCVOS (μV/°C) AD549 10 TO 36 500 10 AD548K/B AD743 AD745 AD711C AD8605/ AD8606/ AD8608 AD8651/ AD8652 9 TO 36 9.6 TO 36 9.6 TO 36 9 TO 36 2.7 TO 6 500 1000 500 250 300 5 2 2 5 1 ׂ ႙ࡽ en @ in @ უӦ୲ (V/μs) ፌٷ ISY/AMP (mA) 1 kHz (nV√Hz) 1 kHz (nV√Hz) 5 3 0.7 35 0.22 1 4.5 20 4 10 1.8 2.8 12.5 20 5 0.2 10 10 2.8 1.2 30 3.2 3.2 18 8 1.8 6.9 6.9 10 10 GBP (MHz) 1/f ঙ (Hz) ፌٷ IB (nA) ISC (mA) ፌၭ CMRR (dB) ፌၭ PSRR (dB) ٷݣഗ ຕଉ 159,090,909 100 0.06 20 90 90 1 16,666,666 463,768 463,768 1,800,000 800,000 700 50 50 200 500 10 0.4 0.25 25 1 15 40 40 25 80 82 80 90 86 85 86 90 100 86 80 1 1 1 1 1/ 2/ 4 1/ 2 RS, OP @ 1kHz (Ω) 2.7 TO 5.5 350 4 50 41 14 8 25 320,000 10,000 10 80 80 76 AD8615/ AD8616/ AD8618 AD8691/ AD8692/ AD8694 AD8661/ AD8662/ AD8664 2.7 TO 6 500 1.5 24 12 1.3 10 50 200,000 1000 1 150 80 70 2.7 TO 6 2000 1.3 10 5 1.05 8 0.05 160,000 3000 1 80 70 80 5 TO 6 160 4 4 3.5 1.55 12 0.1 120,000 1000 1 140 90 95 OP07 6 TO 36 75 0.3 0.6 0.3 4 9.6 0.12 80,000 100 4000 30 106 94 9 ADIگୁۉሯำٷݣഗ႙ Rev. A | Page 11 of 12 1/ 2/ 4 1(SD)/ 2(SD)/ 4(SD) 1/ 2/ 4 1 07053-104 Application Note AN-940 Application Note ጀ Analog Devices, Inc., AN-280 Application Note Mixed Signal Circuit Techniques. Barrow, J., and Paul Brokaw. 1989. “Grounding for Low- and High-Frequency Circuits.” Analog Dialogue. Analog Devices, Inc. (23-3). Bennett, W. R. 1960. Electrical Noise. New York: McGraw-Hill. Bowers, Derek F. 1989. “Minimizing Noise in Analog Bipolar Circuit Design.” IEEE Press. Brockman, Don and Arnold Williams. AN-214 Application Note Ground Rules for High-Speed Circuits. Analog Devices, Inc. Brokaw, Paul. 2000. AN-202 Application Note An IC Amplifier User’s Guide to Decoupling, Grounding, and Making Things Go Right for a Change. Analog Devices, Inc. (February). Brokaw, Paul and Jeff Barrow. AN-345 Application Note Grounding for Low- and High-Frequency Circuits. Analog Devices, Inc. Bryant, James Bryant and Lew Counts. 1990. “Op Amp Issues–Noise ” Analog Dialogue. Analog Devices Inc. (24–2). Freeman, J. J. 1958. Principles of Noise. New York: John Wiley & Sons, Inc. Gupta, Madhu S., ed., 1977. Electrical Noise: Fundamentals & Sources. New York: IEEE Press. Collection of classical reprints. Johnson, J. B. 1928. “Thermal Agitation of Electricity in Conductors” (Physical Review 32): 97–109. Motchenbacher, C. D., and J. A. Connelly. 1993. Low-Noise Electronic Design. New York: John Wiley & Sons, Inc. Nyquist, H. 1928. “Thermal Agitation of Electric Charge in Conductors” (Physical Review 32): 110–113. Rice, S.O. 1944. “Math Analysis for Random Noise” Bell System Technical Journal (July): 282–332. Rich, Alan. 1982. “Understanding Interference-Type Noise.” Analog Dialogue. Analog Devices Inc., (16–3). Rich, Alan. 1983. “Shielding and Guarding.” Analog Dialogue. Analog Devices Inc. (17–1). Ryan, Al and Tim Scranton. 1984. “DC Amplifier Noise Revisited.” Analog Dialogue. Analog Devices, Inc., (18–1). Schottky, W. 1926. “Small-Shot Effect and Flicker Effect.” (Phys. Rev. 28): 74–103. Van Der Ziel, A. 1954. Noise. Englewood Cliffs, NJ: Prentice-Hall, Inc. ©2007–2009 Analog Devices, Inc. All rights reserved. Trademarks and registered trademarks are the property of their respective owners. AN07053-0-1/09(A) Rev. A | Page 12 of 12