Noise in electronic components.

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1 No lto opot5098, JDS No lto opot Th PN juto Th ut thouh a PN juto ha fou opot t: two ffuo ut (hol fo th paa to th aa a lto th oppot to) a thal at oty ha a (hol fo th aa to th paa a lto th oppot to, laka ut) O all ut to aov hot o xt W a a th o pta o th ut, au oof th ut a olat to ah oth Th total ut thouh a PN juto : q kt I = I I = I ( ) I th foula th Volta ao th PN Th foula fo th total o ut : (PN) = (PN) Th foula a alo wtt a: = (PN3) By o th foula PN a PN3 toth th o ut o: = q ( I I ) (PN4) A PN juto a two tat, olato o out I th olato aa th ut th juto : I = I O th ut a o ut xt of: = q I (PN5) W w ak th Volta ov th PN juto 0, w alo ak th ut 0 Th juto th thal ala wth h uou Noally th tal (fftal) to of th o wll pou u th oto thal o Th valu of th to : = Th foula fo th thal o ut : = 4 = 4 (PN6) NIKHEF, Ata

2 No lto opot5098, JDS I th out aa th ut thouh th juto : Now th o : By fll = q I = t o: = q kt I I I (PN7) (PN8) Th o th juto qual to th o of th to = wth th tpatu at th half valu Althouh th o thal o at th juto, t' ooly a at half thal o NIKHEF, Ata

3 No lto opot5098, JDS Th Bpola Tato Th a of th pto a pola tato ou tt ut Th tt juto th a outv Th v hot o o th tt ( I ) Th tt ut v th a to a a ( I ) a a olltout ( I ) O oth th ut hot o at Th o olato tw th hot o o oth th ut Th a o ut flow thouh th ollto juto, whh I o Th ut ha alo o olato wth I O th ut alo hot o au Th tt, a a ollto a a of outo atal Th aa hav a atal to th Th to v thal o th th pat Th t th tt a ollto a oally vy all, o th o otuto of th t a lt I th a howv th valu of th to latvly hh Th all z a th low ffuo of th aa au th Th valu tw a fw t a a fw hu of Oh Th t th a a v t, o t' ot ot to jut alulat th thal o valu I pat howv th a oo aupto Lat w alo hav to al wth /f o Th /f o a xta o opot th a ut Th quvalt hat I fu th quvalt hat (hyπha) of a tato v ' ' π ' ' Fu : Th quvalt hat of a tato I th ha th valu of α π I th foula α th ut aplfato fato fo a tato th oo tt ha I th fftal to of th tt juto wth th valu = = Alo w hav two apato th hat: ', ' ' I th apaty of th tt juto, whh th u of th juto apaty a th ffuo apaty ' I th apaty of th olat ollto juto E 3 NIKHEF, Ata

4 No lto opot5098, JDS I th tal fftal to, whh th ult of th a wth oulato (Ealyfft) Wth th otoll ut ou w th wok of th tato Th ' to th al to a to o ' ' f ' π ' ' Fu : Th quvalt hat o a tato wth o ou I fu th quvalt hat aw of a tato wth all t o ou t Th valu of th o ou a alulat wth th follow foula: u = 4k T (TR) = q I (TR) f = f l f (TR3) = q I = (TR4) o = q I o (TR5) I lo tato th ollto v ut I o vy all Th o ou a thfo lt alot alway o All o ou to th put To ak alulato o th o fu of a hat t oal to tafo all o ou to th put of th hat Th to a a a xtal to Th tato that ou th a t tato, whh tw th oto pot ', a fu 4 NIKHEF, Ata

5 No lto opot5098, JDS Th oly o o ou o th output of th hat Ao to th two pot thoy w a tafo h to th put Th foula fo th tafoato a: B = (TR6) j ω ' D = j ω π ' j ω π j ω ' ' (TR7) th oto that xpo to: ω << a ω << w ay plf th ' π ' B = a D = π = α Th o plfato of th o hat th fat that fo a lo tato th ut I o vy all Thfo th o ou o ay foott ' ' ' α f π ' ' Fu 3: Th quvalt hat wth th o ou o th put I th hat fu 3 th ou a α f th o th ou Th ult a olato tw th two ou, what ak alulat th o fu a lot ha to o Lukly t o pol h, au th ou all a fo a oo tato α uh Th foula fo = q I a fo ( α ) α = Bau I = I h f I α a fo a oo tato th valu of α >>, th ou α a lt w t opa to th ou 5 NIKHEF, Ata

6 No lto opot5098, JDS W a plfy fu 3 o y pla th o ou a wth th a u Th foula fo u : u = u ( ) y o ou = (4k T ) = 4 ( ) (TR8) ' No f t tato f ' Fu 4: Th plf hat of a tat wth h o ou I fu 4 th plf hat of a oy tato aw Th t tato th tato wthout h xt a to Th foula that a u th hat a TR, TR3 TR8 I pat t ot uful to pt o ou a f th a thal o ou Th t a all quvalt o t Th quvalt t fo u alulat fo TR8 Th valu : R = Th quvalt o t fo : R = α, au th valu of I B I α 6 NIKHEF, Ata

7 No lto opot5098, JDS 3 Th Fl Efft Tato I th a a FET ha a hal of out atal A ltal fl otol th ta of th hal ot a Volta tw th lto ak th fl I th ft appoah w au a thal ala tw th hal a t uou, o th hal wll pou thal o Th oto tw th hal a th at a apato ut flutuato th hal wll au, u to th apato, ut flutuato th at ha Th ut flutuato th at ut at o Th valu of th at o fquy pt (apato) Th alo plat a olato tw two o W th FET u a w a aplf th ol of ut at o lt Howv tu Hh Fquy Aplf t a play o ol /f o ou th a ha at low fqu W u a juto FET th laka ut th at I G a v a otuto to th total o th yt 3 Th quvalt hat Fu 5: Th quvalt hat of a Fl Efft Tato I fu 5 th quvalt hat of a Fl Efft Tato v I th hat th apato a a paat tw at a a, at a ou I th Ta outa of th FET a tal ta f Fu 6: th quvalt hat of a FET wth t o ou 7 NIKHEF, Ata

8 No lto opot5098, JDS I fu 6 th quvalt hat aw of a FET wth h o ou To alulat th o ou w u th follow foula: = 4 (FET) f = 4 fl f (FET) = q I (FET3) ω = 4 3 (FET4) I th foula fo th thal o (FET) th hal a otat to Thotally th valu of fo a juto FET 066 a fo a MOST FET 33 I al lv oth valu' a fou up to = 3 All o ou to th put Fo th a ao a wth th tato, t alo patal to tafo all o ou to th put of th FET Th o o a la way a th tato Th foula a ow wth th aupto that ω << : B = (FET5) ( ) D = ω (FET6) f D f D Fu 7: FET wth all o ou at th put 8 NIKHEF, Ata

9 No lto opot5098, JDS Th hat a plf la to that of th tato Wth a FET f o oly of tt at vy low fqu o th ou D f a lt I th oal tuato w you look at th quato FET a FET4 th quato << D tu I pat th quvalt hat of fu 8 wll o jut f f D uvj FET Fu 8: Th plf quvalt hat of a FET wth t o ou Aa w a alulat th quvalt o t who a pt th o ou B, D a : R = (FET6) R ω = ω ( ) (FET7) R ' = G (FET8) Th lat foula a lt, au fo a oo FET th ut I G vy all Oly at xt low fqu t ay ot lt Rf: J Dav, ua otwp lktoa ouatthk 9 NIKHEF, Ata

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