䊂䉳䉺䊦࿁〝ਛ䈱䉲䊮䉫䊦䊶䉟䊔䊮䊃䊶䊃䊤䊮䉳䉢䊮䊃વ᠞䈮䈍䈔䉎䊈䉧䊁䉞䊑䊶䊐䉞䊷䊄䊋䉾䉪ലᨐ

ᢥ₂ฬ The Effect of Negative Feedback on Single Event Transient Propagation in Digital Circuits

಴ౖ IEEE Transaction on Nuclear Science, Vol. 53, No. 6, pp. 3285- 3290, Dec. 2006.

⪺⠪ฬ B. Narasimham, B. L. Bhuva, W. T. Holman, R. D. Schrimpf, L. W. Massengill, A. F. Witulski, and W. H. Robinson

ኻ⽎䊂䊋䉟䉴 CMOS

ታ㛎⸳஻ SPICE䋨࿁〝䉲䊚䊠䊧䊷䉺䋩 ᾖ኿✢⒳෸䈶

䉣䊈䊦䉩䊷䈱඙ಽ

䋭 න⊒⃻⽎෶䈲

Ⓧ▚✢㊂ലᨐ䈱඙ಽ

න⊒⃻⽎䋨SET䋺Single Event Transient䋩 ታ㛎෶䈲ℂ⺰䈱඙ಽ ታ㛎䋨ᢙ୯䉲䊚䊠䊧䊷䉲䊢䊮⸃ᨆ䋩

(1) ᭎ⷐ㩷

⚵ว䈞⺰ℂ࿁〝ਛ䈱䉲䊮䉫䊦䊶䉟䊔䊮䊃䊶䊃䊤䊮䉳䉢䊮䊃(SET)䈱વ᠞䈍䉋䈶ᷫ⴮䈮䈧䈇䈩ታ㛎䈚䇮 䊚䊤䊷䊐䉞䊷䊄䊋䉾䉪䈫䈇䈉䊜䉦䊆䉵䊛䈏䇮SET 䈱વ᠞䈮ᔅⷐ䈭ᦨዊ䊌䊦䉴᏷䈮ᓇ㗀䉕ਈ䈋䉎䈖䈫䈏⏕

⹺䈘䉏䈢䇯዁᧪䈱㓸Ⓧ࿁〝(IC)䈱⚵ว䈞࿁〝䈪䈱䉸䊐䊃䉣䊤䊷₸(SER)䈱੍᷹䈮૶↪䈘䉏䈩䈇䉎⸃

ᨆ䊝䊂䊦䈮䈲䇮䈖䈱䊐䉞䊷䊄䊋䉾䉪ലᨐ䈲฽䉁䉏䈩䈇䈭䈇䇯䈖䈱ലᨐ䉕฽䉄䉎䈫䇮SET 䈏⚵ว䈞⺰ℂ

࿁〝ਛ䉕વ᠞䈚䈩䈇䈒䈱䈮ᔅⷐ䈭䉪䊥䊁䉞䉦䊦䉼䊞䊷䉳䈲 30%એ਄Ⴧട䈚䇮䉪䊥䊁䉞䉦䊦䉼䊞䊷䉳䈱 ᄌൻ䈮ኻ䈚䈩ᢅᗵ䈭SER䈲40%એ਄ᷫዋ䈜䉎䇯

(2) ᐨ⺰㩷

㓸Ⓧ࿁〝(IC)䈱ᦨዊኸᴺ䈱❗ዊ䈲䇮㜞ㅦൻ䇮ૐ㔚Ḯ㔚࿶ൻ䇮䊉䉟䉵䊙䊷䉳䊮䈱ᷫዋ䈫౒䈮䇮䉲䊮 䉫䊦䊶䉟䊔䊮䊃䊶䊃䊤䊮䉳䉢䊮䊃(SET)䊌䊦䉴䈮䉋䉎࿁〝䈱ᗵฃᕈ䉕⪺䈚䈒Ⴧട䈘䈞䈩䈇䉎[1]-[3]䇯

CMOS䋭IC䈪䈲䇮䉣䊈䊦䉩䊷☸ሶ䈱౉኿䈮䉋䉍↢䈛䉎䉲䊮䉫䊦䊶䉟䊔䊮䊃䊶䊃䊤䊮䉳䉢䊮䊃(SET)䈫๭䈳

䉏䉎ㆊᷰ⊛䈭㔚࿶ᄌേ䈏࿁〝䉕ㅢ䈚䈩વ᠞䈚䇮ਇᱜ䈭䊂䊷䉺䈫䈚䈩଻ᜬ䈘䉏䇮࿁〝䈏⺋േ૞䈜䉎໧

㗴䈏䈅䉎䇯SET 䈮䉋䉎䉝䉾䊒䉶䉾䊃䊶䊧䊷䊃䈲䇮SET 䊌䊦䉴᏷䈫䉪䊨䉾䉪๟ᵄᢙ䈮ଐሽ䈚䇮䉪䊨䉾䉪๟ᵄ ᢙ䈱Ⴧട䈮Ყ଀䈚䈩Ⴧട䈜䉎䇯䉁䈢䇮ᦨዊኸᴺ䈱ᷫዋ䈲䇮ฦ⺰ℂ⁁ᘒ䉕⴫䈜㔚⩄㊂䉕ᷫዋ䈘䈞䇮 SET 䈱⊒↢ᢙ䉕Ⴧട䈘䈞䉎䇯వ┵䊁䉪䊉䊨䉳䈪䈲䇮SET 䈮䉋䉎䉣䊤䊷䈏࿁〝ో૕䈱䉣䊤䊷₸䉕ᡰ㈩ 䈜䉎䈫੍᷹䈘䉏䈩䈇䉎[2]䇯

⚵ว䈞࿁〝䈱䉣䊤䊷₸䉕᳿䉄䉎ਥⷐ࿃䈲䇮SET 䊌䊦䉴᏷䈪䈅䉎[2]䇯SET 䊌䊦䉴䈮䈫䈦䈩䇮 CMOS ⺰ℂ䉭䊷䊃䈲ౖဳ⊛䈭䊨䊷䊌䉴䊐䉞䊦䉺䈫䈚䈩േ૞䈜䉎䈢䉄䇮䈅䉎୯䉋䉍䉅㐳䈇䊌䊦䉴એᄖ䈲䇮

ᷫ⴮䈞䈝䈮⺰ℂ䉭䊷䊃䉼䉢䊷䊮䉕વ᠞䈪䈐䈭䈇䇯࿁〝䈱⣀ᒙ䈘䈲䇮વ᠞น⢻䈭ᦨ⍴䈱 SET 䊌䊦䉴 䈮䉋䉍᳿ቯ䈪䈐䉎䇯ෳ⠨ᢥ₂[4]䈪䈲䇮୘䇱䈱䉭䊷䊃䈱ㆫ⒖ᤨ㑆䉋䉍䉅㐳䈇䊌䊦䉴䈲䇮ᷫ⴮䈜䉎䈖䈫䈭䈒 વ᠞䈜䉎䈫䈚䈩䈇䉎䇯ᚒ䇱䈱⸃ᨆ䈪䈲䇮CMOS 䉭䊷䊃䈱౉ജ䈫಴ജ䈱㑆䈱ኈ㊂䉦䉾䊒䊥䊮䉫䈏䇮䉭䊷

䊃䈠䉏⥄り䈫䉭䊷䊃⽶⩄䈮ᓇ㗀䈚䈩ㆫ⒖ᤨ㑆 䉕Ⴧട䈘䈞䇮વ᠞䈮ⷐ䈜䉎ᦨዊ䊌䊦䉴᏷䉕Ⴧ ട䈘䈞䉎䈖䈫䈏␜䈘䉏䈩䈇䉎䇯䈖䈱ലᨐ䈲䇮⋥

೉ធ⛯䈘䉏䈢⺰ℂ䉭䊷䊃䉕ή㒢䈮વ᠞䈜䉎䈢 䉄䈱ᦨዊ᏷䋨䉪䊥䊁䉞䉦䊦䊶䊌䊦䉴᏷䋩䈮ᓇ㗀䉕 ਈ䈋䉎䈫੍ᗐ䈪䈐䉎䇯Mavis 䉌䈱⎇ⓥ[5]䈪૞

䉌䉏䈢䉟䊮䊋䊷䉺䊶䉼䉢䊷䊮䈮㘃ૃ䈚䈢䉅䈱䈮 䊈䉧䊁䉞䊑䊶 䊐䉞䊷䊄䊋䉾 䉪䈱ലᨐ䉕฽䉄䈢 ᚒ䇱䈱䉲䊚䊠䊧䊷䉲䊢䊮䈪䈲䇮䉪䊥䊁䉞䉦䊦䊶䊌 䊦䉴᏷䈲䇮ᓥ᧪␜䈘䉏䈩䈐䈢䉅䈱䉋䉍䉅㐳䈇⚿

ᨐ䈏␜䈘䉏䈢䇯

৻⥸䈮䇮዁᧪䈱 IC䊁䉪䊉䊨䉳䊷䊉䊷䊄䈮䈍䈔䉎⚵ว䈞࿁〝䈱 SER(䉸䊐䊃䉣䊤䊷₸䋩䈱੍᷹䈮䈲䇮

⸃ᨆ䊝䊂䊦䈏૶↪䈘䉏䉎[6]䇯࿑ 3.2.4-1䈲䇮SER⹏ଔ䈱৻଀䈪䈅䉍[6]䇮⚵ว䈞䊨䉳䉾䉪䈱SER䉕䇮

⇣䈭䉎䊌䉟䊒䊤䉟䊮Ბᢙ䋨ᚗ䈇䈲䊐䉜䊮䉝䉡䊃 4(FO䋭4)ㆃᑧ䈱ᢙ䈮䈍䈔䉎䉪䊨䉾䉪๟ᦼ䋩䈮䈧䈇䈩䊒 䊨䉾䊃䈚䈢䉅䈱䈪䈅䉎䇯䉪䊨䉾䉪๟ᦼ䈱ᷫዋ䈮઻䈇 SER 䈏Ⴧട䈜䉎䈖䈫䈏␜䈘䉏䈩䈇䉎䇯⚵ว䈞䊨䉳䉾 䉪䈱SER䈲䇮ㅢᏱ䇮㔚᳇⊛䈭䊙䉴䉪䇮䊤䉾䉼䉡䉞䊮䊄䉡䈮䉋䉎䊙䉴䉪䇮⺰ℂ⊛䈭䊙䉴䉪[6][7]╬䈱᭽䇱䈭 SET 䈱䊙䉴䉪ലᨐ䉕⠨ᘦ䈚▚಴䈘䉏䉎䇯㔚᳇⊛䈭䊙䉴䉪䈲䇮ㆃᑧᷫ⴮ലᨐ[9](ᚗ䈇䈲ઁ䈱㘃ૃ䈱䊝 䊂䊦)䈮ട䈋䈩 Horowitz 䈱┙䈤਄䈏䉍䈫┙ਅ䉍ᤨ㑆䈱䊝䊂䊦[8]䉕૶↪䈚⸘▚䈘䉏䉎䈏䇮䈖䉏䉌䈱䊝 䊂䊦䈲䇮䊈䉧䊁䉞䊑䊶䊐䉞䊷䊄䊋䉾䉪ലᨐ䉕฽䉖䈪䈇䈭䈇䇯䊐䉞䊷䊄䊋䉾䉪ലᨐ䈲䇮䉪䊥䊁䉞䉦䊦䊶䊌䊦䉴

᏷䉕Ⴧട䈘䈞䉎䇯ᧄലᨐ䉕⠨ᘦ䈚䈭䈇ᣇᴺ䈫Ყセ䈚䈢႐ว䇮䉣䊤䊷₸䈲ᷫዋ䈜䉎䇯 㩷

(3) 䊂䉳䉺䊦࿁〝ਛ䈱䉦䉾䊒䊥䊮䉫ലᨐ㩷

CMOS䋭IC䈪䈱䉦䉾䊒䊥䊮䉫ലᨐ䈫䈚䈩䇮࿑ 3.2.4-2(a)䈮␜䈘䉏䉎䉪䊨䉴䊃䊷䉪䊝䊂䊦[10]䈏䈅䉎䇯 䈖䉏䈲䇮㓞ធ䈚䈢䊈䉾䊃䈱ାภㆫ⒖䈮䉋䉎㔚⩄ᵈ౉䈮䉋䉍䇮⥄り䈱ㆫ⒖ਛ䈱ᵄᒻ䈏ᄌᒻ䈚䇮ਇ⏕ቯ䈭 ㆃᑧ䉕↢䈛䈘䈞䉎䉅䈱䈪䈅䉎[10]䇯䉁䈢䇮ᧄ⺰ᢥ䈪␜䈜䉋䈉䈮䇮୘䇱䈱䉭䊷䊃ౝ䈪䈱䉦䉾䊒䊥䊮䉫ലᨐ

䋨࿑ 3.2.4-2(b)ਛ䈱಴ജ䈎䉌౉ജ䇮౉ജ䈎䉌಴ജ㑆䋩䈏䇮⺰ℂ䈱ㆫ⒖ᤨ㑆䉕Ⴧട䈘䈞䉎䊈䉧䊁䉞䊑䊶

࿑ 3.2.4-1䋮୘䇱䈱࿁〝䈱SER੍᷹[6]

䊐䉞䊷䉼䊞䊷䉰䉟䉵䈏ᷫዋ䈜䉎䈮䈧䉏๟ᵄᢙ䈲Ⴧ ട䈚䈩䈇䉎䇯

࿑ 3.2.4-2 (a)䉪䊨䉴䊃䊷䉪䊝䊂䊦[ᢥ₂10]䋮Cc䈲䉦䉾䊒䊥䊮䉫ኈ㊂䋮CL-A䈲᡹᠄⠪䈱⽶⩄ኈ

㊂䇮CL-V 䈲ⵍኂ⠪䈱⽶⩄ኈ㊂䇯 (b)⋥೉䈮ធ⛯䈘䉏䈢䉟䊮䊋䊷䉺㑆䈱䉦䉾䊒䊥䊮䉫䇯㩷 CL䈲

⽶⩄ኈ㊂䇯Cgd䈲䉦䉾䊒䊥䊮䉫ኈ㊂

䊐䉞䊷䊄䊋䉾䉪ലᨐ䈏䈅䉎䇯䈖䈱ലᨐ䉕䇮࿑ 3.2.4-3䈪␜䈜৻⛯䈐䈱䉟䊮䊋䊷䉺䈱 SPICE 䉲䊚䊠䊧䊷 䉲䊢䊮䈪⺑᣿䈜䉎䇯୘䇱䈱䉭䊷䊃䈱಴ജ䈮䈲䇮䉴䉟䉾䉼䊮䉫ਛ䈮䇮䉟䊮䊋䊷䉺䈏ᧄ᧪ᜬ䈦䈩䈇䉎౉಴

ജ㑆䈱䉦䉾䊒䊥䊮䉫ኈ㊂䋨䊃䊤䊮䉳䉴䉺䈱䉭䊷䊃䋭䊄䊧䉟䊮㑆䈱ኈ㊂䋩䈮䉋䉎䇮䉥䊷䊋䊷䉲䊠䊷䊃䉇䉝䊮 䉻䊷䉲䊠䊷䊃䈏⊒↢䈚䈩䈇䉎䇯଀䈋䈳䇮8 ⇟⋡䈱䉟䊮䊋䊷䉺಴ജ(O8)䈱 LO 䈎䉌 HI 䈻䈱ㆫ⒖䈏䇮9

⇟⋡䈱䉟䊮䊋䊷䉺䈱䉭䊷䊃䋭䊄䊧䉟䊮ኈ㊂䉕ㅢ䈛䈩O9䈱಴ജ㔚࿶䉕䉥䊷䊋䊷䉲䊠䊷䊃䈘䈞䉎䇯

䉅䈉 1 䈧䈱䉭䊷䊃ౝ䉦䉾䊒䊥䊮䉫ലᨐ䈲䇮୘䇱䈱䉟䊮䊋䊷䉺಴ജ䈱⽶⩄䈫䈭䉎䉟䊮䊋䊷䉺䋨ᰴᲑ䈱䉟 䊮䊋䊷䉺䋩䈏෻ኻᣇะ䈮ㆫ⒖䈚䈩䈇䉎ᦼ㑆䈮⷗䉌䉏䉎䇯䈖䉏䈲䇮ታല䈱⽶⩄ኈ㊂䈏䇮⽶⩄䉟䊮䊋䊷䉺 䈱౉ജኈ㊂䈏䊚䊤䊷ലᨐ䈮䉋䉍േ⊛䈮ᄌൻ䈚䇮䊚䊤䊷ലᨐ䈏ή䈇䈫䈐䉋䉍䉅ᄢ䈐䈭ኈ㊂䉕␜䈜䉅䈱䈪䈅 䉍䇮୘䇱䈱䉭䊷䊃䈱ㆫ⒖ᦼ㑆䉕✭䉇䈎䈮䈜䉎䊈䉧䊁䉞䊑䊶䊐䉞䊷䊄䊋䉾䉪䈏↢䈛䈩䈇䉎䇯଀䈋䈳䇮࿑

3.2.4-3(b)ਛ䈱420ps䈎䉌480ps䈪䈱O8䈱HI䈎䉌LO䈻䈱ㆫ⒖䈲䇮O9䈎䉌O8䈻䈱䊈䉧䊁䉞䊑䊶 䊐䉞䊷䊄䊋䉾䉪䈏ㆫ⒖䉕ㆃ䈒䈜䉎䈢䉄䇮450ps䈎䉌

480ps䈱㑆䈱௑䈐䈲䇮420ps䈎䉌450ps䈱௑䈐 䉋䉍䉅✭䉇䈎䈪䈅䉎䇯ኻᾖ⊛䈮䇮O10䋨ᦨ⚳Ბ䋩䈮 䈲䇮⽶⩄䈫䈭䉎೎䈱⺰ℂ䉭䊷䊃䈏ή䈇䋨㕒⊛䈭⽶

⩄ኈ㊂䈲ሽ࿷䈜䉎䋩䈢䉄䇮470ps 䈎䉌 500ps 䈱 HI䈎䉌LO䈻䈱಴ജ㔚࿶䈲䇮䈠䈱䉋䈉䈭ലᨐ䈲

⷗䉌䉏䈭䈇䇯

䊈䉧䊁䉞䊑䊶䊐䉞䊷䊄䊋䉾䉪䈱ലᨐ䈲䇮䉭䊷䊃䊶䊄 䊧䉟䊮㑆䈱䊐䉞䊷䊄䊋䉾䉪ኈ㊂(Cgd)䉕ᄌ䈋䈢䈫䈐

䈱䊌䊦䉴᏷䉕Ყセ䈜䉎䈖䈫䈪䉅᷹ⷰ䈪䈐䉎䇯࿑ 3.2.4-4䈲䇮80 Ბ䈱䉟䊮䊋䊷䉺䊶䉼䉢䊷䊮䈱ೋᲑ䈱౉

ജ䈮90ps䈱SET䊌䊦䉴䉕ශട䈚䈢ᤨ䈱ฦ䉟䊮䊋䊷䉺಴ജ䈱SET䊌䊦䉴᏷䉕␜䈜䇯䈖䈱ലᨐ䉕ಽ 㔌䈪䈐䉎䉋䈉䈮૶↪䈜䉎SPICE䊝䊂䊦䈱䊧䊔䊦1䈮ୃᱜ䉕ᣉ䈚䇮䉟䊮䊋䊷䉺㑆䈱䉦䉾䊒䊥䊮䉫䉕䇮䈠

࿑ 3.2.4-3 (a)䉟䊮䊋䊷䉺䉕10Ბ⋥೉ធ⛯䈚䈢࿁〝࿑ (b)಴ജ┵ሶ8,9,10䈱ାภㆫ⒖䉕

␜䈜䉲䊚䊠䊧䊷䉲䊢䊮⚿ᨐ䇯450ps 䈎䉌 480ps 䈱㑆䈱 O8 䈱ㆫ⒖൨㈩䈏䇮420ps 䈎䉌 450ps䈱㑆䈱൨㈩䉋䉍䉅✭䉇䈎䈮䈭䈦䈩䈍䉍䇮O9 䈎䉌O8 䈻䈱䊈䉧䊁䉞䊑䊶䊐䉞䊷䊄䊋䉾䉪 䈏ㆫ⒖䉕ㆃ䈒䈜䉎䈖䈫䈏䈲䈦䈐䉍䈫᷹ⷰ䈘䉏䈩䈇䉎䇯

࿑ 3.2.4-4䋮⇣䈭䉎Cgd 䈫CL䈱Ყ䈮ኻ䈜䉎ฦ 䉟䊮䊋䊷䉺䊷䊶䉴䊁䊷䉳䈪䈱䊌䊦䉴᏷

䉏䈡䉏䈱䉟䊮䊋䊷䉺䈱䊐䉞䊷䊄䊋䉾䉪ኈ㊂(Cgd)䈫⽶⩄ኈ㊂(Cl)䈱๺(Cgd+Cl)䉕৻ቯ䈮଻䈤䈭䈏䉌䇮 䊐䉞䊷䊄䊋䉾䉪ኈ㊂(Cgd)䈫⽶⩄ኈ㊂(Cl)䈱Ყ䉕ᄌ䈋䈩䈇䉎䇯䊌䊦䉴᏷䈲䇮㔚࿶ᝄ᏷䈱ඨಽ(VDD/2)䈪 ቯ⟵䈜䉎䇯䉲䊚䊠䊧䊷䉲䊢䊮⚿ᨐ䈲䇮䉟䊮䊋䊷䉺䊶䉼䉢䊷䊮䉕ㅴ䉃䈮ㅪ䉏䊌䊦䉴᏷䈏ᷫዋ䈜䉎䈖䈫䉕␜

䈚䈩䈇䉎䇯䊐䉞䊷䊄䊋䉾䉪ኈ㊂䈏䇮䊃䊷䉺䊦䈱಴ജኈ㊂䈮ኻ䈚䈩⋧ኻ⊛䈮ᄢ䈐䈇䋨㓞ធ䈱䉟䊮䊋䊷䉺㑆 䈱䊈䉧䊁䉞䊑䊶䊐䉞䊷䊄䊋䉾䉪䈏ᄢ䈐䈇䋩䈫䇮SET䊌䊦䉴᏷䈲䉋䉍ᕆỗ䈮ᷫዋ䈚䈩䈇䈒䇯

(4) 䉭䊷䊃಴ജኈ㊂䈮䈍䈔䉎䊐䉞䊷䊄䊋䉾䉪ലᨐ䈱⸃ᨆ㩷

ᓥ᧪䇮⚵ว䈞⺰ℂ䉭䊷䊃䈱 SER䈱⸘▚䈮䈲䇮Horowitz 䈱┙䈤਄䈏䉍䋯┙ਅ䉍ᤨ㑆䈱䊝䊂䊦[8]

╬䈱⸃ᨆ䊝䊂䊦䈏૶↪䈘䉏䈩䈐䈢䇯䈖䉏䉌䈲䇮⽶⩄䉕㚟േ䈜䉎䊃䊤䊮䉳䉴䉺䈱䊄䊧䉟䊮䋭䉸䊷䉴ᛶ᛫

(rds)䈫䇮ᓟ⛯䈱࿕ቯ⽶⩄ኈ㊂(CL)䈎䉌ᚑ䉎RCㆃᑧᤨ㑆䈪䉭䊷䊃䈱ㆫ⒖ᤨ㑆䉕⸘▚䈜䉎䉅䈱䈪䈅䉎䇯

䈚䈎䈚䇮ታ㓙䈱䊄䊤䉟䊎䊮䉫䊶䉭䊷䊃䈲䇮⥄り䈱⽶⩄ኈ㊂䈮ട䈋䇮⽶⩄䉭䊷䊃䈱䉭䊷䊃䋭䊄䊧䉟䊮ኈ㊂ (Cgd)䉕㚟േ䈜䉎ᔅⷐ䈏䈅䉍䇮ㆫ⒖ᤨ㑆䈲䇮⽶⩄䉭䊷䊃䈱䊚䊤䊷ലᨐ䈮䉋䉎േ⊛䈭䊐䉞䊷䊄䊋䉾䉪ኈ㊂ 䈮ᄢ䈐䈒ଐሽ䈜䉎䇯ታല䈱⽶⩄ኈ㊂䈲䇮Cgd䈱䊚䊤䊷䉭䉟䊮ലᨐ䈮䈎䈭䉍ଐሽ䈚䇮PMOS䈫NMOS䊃 䊤䊮䉳䉴䉺䈱ਔᣇ䈏ON䈪䊥䊆䉝䉝䊮䊒䈱䉋䈉䈮ᝄ⥰䈉ㆫ⒖ᦼ㑆ਛ䈪ᦨᄢ䈫䈭䉎䇯

⺰ℂ䉭䊷䊃䈱಴ജ㔚࿶䈮ኻ䈜䉎Cgd䈱䊚䊤䊷ലᨐ䈲䇮࿑ 3.2.4-5䈮␜䈜䊝䊂䊦䈪⸃ᨆ䈪䈐䉎䇯㚟

േ䉭䊷䊃䈲䇮಴ജ䈏LO䈎䉌HI䈻ㆫ⒖䈜䉎 ႐ว䇮NMOS䊃䊤䊮䉳䉴䉺䈱ነਈ䈲௖䈎䈪䈅 䉎䈱䈪䇮╬ଔ⊛䈮PMOS䈱䊄䊧䉟䊮䋭䉸䊷䉴 ᛶ᛫(rds)䈫಴ജኈ㊂(CL)䈫䈚䈩䊝䊂䊦ൻ䈪 䈐䉎䇯⽶⩄䈫䈭䉎 2 Ბ⋡䈱䉟䊮䊋䊷䉺䈲䇮࿑

3.2.4-5䈱䉋䈉䈮ㆫ⒖ਛ䈱෻ォ೑ᓧ䈏䋭A 䈪

䈅䉎䉝䊮䊒䈫౉಴ജ㑆䈱䉦䉾䊒䊥䊮䉫ኈ㊂ (Cgd)䈪䊝䊂䊦ൻ䈪䈐䉎䇯

ធὐ⸃ᨆᴺ䈮䉋䉍䇮

gd

L sC

out G sC

G ds

G

in V V V

r V V

1 1

㩷 㩷 㩷 㩷 㩷 㩷 㩷 (1)

䈖䈖䈮

Vin 㚟േ⺰ℂ䉭䊷䊃䈻䈱౉ജ㔚࿶

VG 㚟േ⺰ℂ䉭䊷䊃䈱಴ജ㔚࿶

Vout ⽶⩄⺰ℂ䉭䊷䊃䈱಴ജ㔚࿶

s ๟ᵄᢙ䊌䊤䊜䊷䉺䋨䊤䊒䊤䉴Ṷ▚ሶ䋩

Vout=-AVG䈫䈚䇮VG/Vin䈮䈧䈇䈩⸃䈒䈫ᰴ䈱䉋䈉䈮䈭䉎䇯

ds in

G

C A C

r s V

V

u u u

1

1

1 㩷 㩷 (2)

࿑ 3.2.4-5䋮ㆫ⒖ᤨ㑆䉕ᄌൻ䈘䈞䉎䉭䊷䊃-䊄䊧䉟䊮ኈ

㊂䈱ലᨐ䉕⷗Ⓧ䉅䉎䈢䉄䈮૶↪䈚䈢⸃ᨆ䊝䊂䊦

(2)ᑼ䈲䇮䊐䉞䊷䊄䊋䉾䉪ലᨐ䈏ή䈇႐ว䈱ᤨቯᢙrds×(CL+Cgd)䉋䉍䉅䇮A×rds×Cgd䈣䈔ㆫ⒖ᤨ

㑆䈏Ⴧട䈜䉎䈖䈫䉕ᗧ๧䈜䉎䇯ᧄലᨐ䈲䇮಴ജㆫ⒖ᦼ㑆ਛ䈮䈱䉂૞↪䈜䉎䈏䇮SET 䊌䊦䉴᏷䉕ᷫ

⴮䈘䈞䉎䈱䈮䈲චಽ䈪䈅䉎䇯

࿑ 3.2.4-6䈲䇮䉟䊮䊋䊷䉺䈱౉ജኈ㊂䌶䌳䉭䊷䊃㔚࿶․ᕈ䉕 AC䉲䊚䊠䊧䊷䉲䊢䊮䈪⸃ᨆ䈚䈢⚿ᨐ䈪

䈅䉎䇯䉲䊚䊠䊧䊷䉲䊢䊮䈮䈲䇮IBM ␠䈱 0.13㱘m 䊒䊨䉶䉴䊶䊂䉱䉟䊮䊶䉨䉾䊃䋨PDK䋩䈫䉬䊷䊂䊮䉴␠

⵾䈱࿁〝䉲䊚䊠䊧䊷䉺 Spectre[12]䉕૶↪䈚䈩䈇 䉎䇯䉟䊮䊋䊷䉺䈱౉ജኈ㊂䈲৻ቯ䈪䈲䈭䈒䇮䊚䊤䊷 ലᨐ䈮䉋䉍䉭䉟䊮䈪ដ䈔▚䈘䉏䇮ㆫ⒖ᦼ㑆ਛ䈮 䊏䊷䉪䋨ㅢᏱ䈱⚂6୚䋩䈮㆐䈚䈩䈇䉎䇯

(5) 䊌䊦䉴䈱ᷫ⴮䈫䉭䊷䊃䈱ㆫ⒖ᤨ㑆㩷

䉪䊥䊁䉞䉦䊦䊶䊌䊦䉴᏷䈱᳿ቯ䈮೑↪䈘䉏䉎䊐䉜䊮 䉝 䉡 䊃 1 (FO-1) [5]䈱 Ყ セ ⊛ 㐳 䈇 䉟 䊮 䊋 䊷 䉺 䊶 䉼䉢䊷䊮䉕↪䈇䈩䇮SET 䊌䊦䉴䈱ᷫ⴮䈱⸃ᨆ䉕䈚 䈢䇯䉟䊮䊋䊷䉺䈲䇮ห䈛┙䈤਄䈏䉍䋯┙ਅ䉍ᤨ㑆䈏 ᓧ䉌䉏䉎䉋䈉䈭䉰䉟䉵䈫䈚䈢䇯䉟䊮䊋䊷䉺1Ბಽ䈱ㆫ

⒖ᤨ㑆䈲䇮䊌䉾䉲䊑䈭⽶⩄䈪䈲⚂70ps䇮䉝䉪䊁䉞䊑 䈭⽶⩄䈪䈲⚂100ps䈪䈅䈦䈢䇯࿑ 3.2.4-7䈲䇮䉟䊮 䊋䊷䉺䈱Ბᢙ䉕㑐ᢙ䈮䊌䊦䉴᏷䉕䊒䊨䉾䊃䈚䈢䉅䈱 䈪䈅䉎䇯80ps 䈱䊌䊦䉴䈲䇮90 Ბ䈪ᶖṌ䈚䈩䈇䉎䈏䇮

120ps 䈱䊌䊦䉴䈲䇮150 Ბએ㒠䈪䉅ᱴ䈬ᷫ⴮䈞䈝䈮

વ᠞䈚䈩䈇䉎䇯

࿑ 3.2.4-8䈲䇮䊐䉞䊷䉼䊞䊷䉰䉟䉵䉕㑐ᢙ䈮䉪䊥䊁䉞 䉦䊦䊶䊌䊦䉴᏷䉕䊒䊨䉾䊃䈚䈢䉅䈱䈪䈅䉎䇯䈖䈱⸃ᨆ䈮 䈲䇮IBM ␠䈱 0.13㱘m 䈫䇮TSMC ␠䈱 0.18㱘m, 0.25㱘m, 0.4㱘m䈱PDK䉕↪䈇䈢䇯䊐䉞䊷䊄䊋䉾䉪 ലᨐ䉕฽䉁䈭䈇੍᷹ᣇᴺ[5]䉋䉍䇮䈎䈭䉍ਅ䈮䉲䊐䊃䈚 䈩䈇䉎䇯

࿑ 3.2.4-9䈲䇮FO-4 䈱䉟䊮䊋䊷䉺䊶䉼䉢䊷䊮ਛ䈱

䊉䊷䊄䈱䉝䉾䊒䉶䉾䊃䈮ⷐ䈜䉎䉪䊥䊁䉞䉦䊦䉼䊞䊷䉳[6]䈮䈧䈇䈩䇮䊚䊤䊷ലᨐ䈱᦭ή䉕䊌䊤䊜䊷䉺䈮䇮䊁 䉪䊉䊨䉳䊷䊉䊷䊄䉕㑐ᢙ䈫䈚䈩䊒䊨䉾䊃䈚䈢⚿ᨐ䈪䈅䉎䇯䊐䉞䊷䊄䊋䉾䉪ലᨐ䉕⠨ᘦ䈚䈢႐ว䇮䉪䊥䊁䉞䉦 䊦䉼䊞䊷䉳䈲⚂30%Ⴧട䈚䇮䉁䈢䇮䊁䉪䊉䊨䉳䊷䊉䊷䊄䈮ଐሽ䈚䈭䈇⚿ᨐ䈏ᓧ䉌䉏䈢䇯

࿑ 3.2.4-10䈲䇮Hazucha䉇Svensson䉌䈱(3)ᑼ䈪ਈ䈋䉌䉏䉎CMOS-SRAM࿁〝䈱SER⹏

࿑ 3.2.4-8䋮SET䊌䊦䉴䈏ή㒢䈮વ

᠞䈜䉎䉪䊥䊁䉞䉦䊦䊶䊌䊦䉴᏷vs䊐䉞䊷 䉼䊞䊷䉰䉟䉵

࿑ 3.2.4-6䋮0.13㱘m䊁䉪䊉䊨䉳䋨IBM䋩䈮䈍䈔 䉎౉ജኈ㊂vs䉭䊷䊃㔚࿶․ᕈ

࿑ 3.2.4-7䋮વ᠞䈚䈢䉟䊮䊋䊷䉺Ბᢙ 䈮ኻ䈜䉎䊌䊦䉴᏷

ଔ↪䊝䊂䊦[13]䈮䈇䈩䇮䊚䊤䊷ലᨐ䈱᦭ή䈮ኻ䈜䉎SER䉕䇮䊁䉪䊉䊨䉳䉕㑐ᢙ䈮䊒䊨䉾䊃䈚䈢䉅䈱䈪䈅 䉎䇯

Qs Q_crit

A F

SERv u uexp 㩷 㩷 㩷 㩷 㩷(3) 㩷 䈖䈖䈪䇮

F䋺䋾1MeV㩷 䈱ਛᕈሶ䊐䊤䉾䉪䉴 [particles/(cm²×s)]

A䋺☸ሶᾖ኿ᤨ䈱ᗵᔕ࿁〝㕙Ⓧ㩷[cm²] Qcrit䋺䉪䊥䊁䉞䉦䊦䉼䊞䊷䉳㩷[fC]

Qs䋺䊂䊋䉟䉴䈱෼㓸㔚⩄㩷 [fC]

䊐䉞䊷䊄䊋䉾䉪ലᨐ䉕⠨ᘦ䈜䉎䈫䇮0.13㱘m 䈱䊁䉪䊉 䊨䉳䈪䈲⚂40%䇮0.25㱘m䈱䊁䉪䊉䊨䉳䈪䈲⚂90%ᷫ

ዋ䈜䉎䇯వ┵䊁䉪䊉䊨䉳䈪SER䈱ᷫዋ䈏ዋ䈭䈇䈱䈲䇮

Qcrit 䈏 Qs 䉋䉍䉅ᕆỗ䈮ᷫዋ䈚䈩䈇䉎䈢䉄䈪䈅䉍䇮

90ns 䉇 65ns 䈱䊁䉪䊉䊨䉳䈪䉅ᒰ䈩䈲䉁䉎䈫ᕁ䉒䉏 䉎䇯

(6) ⚿⺰㩷

䊚䊤䊷ലᨐ䈮䉋䉎⺰ℂ䉭䊷䊃䈱⽶⩄ኈ㊂䈱ᄌേ䈏䇮 ㆫ⒖ᤨ㑆䉕Ⴧട䈘䈞䇮SET䊌䊦䉴䈱વ᠞䈮ᓇ㗀䉕ਈ 䈋䉎䈖䈫䉕⸃ᨆ⊛䈮␜䈚䈢䇯䊚䊤䊷䊐䉞䊷䊄䊋䉾䉪ലᨐ 䉕฽䉄䉎䈫䇮0.13㱘m 䈱䊁䉪䊉䊨䉳䈱႐ว䇮䉟䊮䊋䊷 䉺 䊶 䉼 䉢 䊷 䊮 䉕 ή 㒢 䈮 વ ᠞ 䈜 䉎 ᦨ ዊ 䊌 䊦 䉴 ᏷ 䈲 100ps䈱䉥䊷䉻䊷䈫䈭䉍䇮ㆊ෰䈮ႎ๔䈘䉏䈢୯[5]䉋䉍

䉅䈎䈭䉍ᄢ䈐䈇䇯䉁䈢䉪䊥䊁䉞䉦䊦䉼䊞䊷䉳䈲䇮30%એ਄Ⴧട䈚䇮SER 䈲 40%એ਄ᷫዋ䈜䉎⚿ᨐ䈫 䈭䈦䈢䇯ᧄലᨐ䈲䇮䊂䉳䉺䊦 IC 䈱䉣䊤䊷䊧䊷䊃䈱⸘▚♖ᐲ䈮᣿䉌䈎䈮ᓇ㗀䈜䉎䈢䉄䇮੹ᓟ䈱䉣䊤䊷 䊧䊷䊃䈱⸃ᨆ䊝䊂䊦䈮ട䈋䉎䈼䈐䈪䈅䉎䇯

࿑ 3.2.4-10䋮䉸䊐䊃䉣䊤䊷₸䈱ᄌൻ [exp(-Qcrit/Qs)䈮Ყ଀] vs䊐䉞䊷䉼䊞䊷 䉰䉟䉵

࿑ 3.2.4-9䋮Fan-Out䋭4䈱䉟䊮䊋䊷䉺 䈏䉝䉾䊒䉶䉾䊃䈜䉎䈢䉄䈱䉪䊥䊁䉞䉦䊦 䉼䊞䊷䉳vs䊐䉞䊷䉼䊞䊷䉰䉟䉵