Chapter V. Noise and Distortion in Microwave Systems
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- Beatrice Boone
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1 Chpr d Dr Mrw m
2 Oul. Lr m. Mdul d D. mprur d Fgur 4. Cmpr d Irmdul Dr
3 . Lr m Clf f uull grd b h rdm m f hrg r hrg rrr d d mrl. uh rdm m b ud b rl mhm, ldg ru ur f : hrml h m b p f, bg ud b hrml br f bud hrg. l kw Jh r qu. h - du rdm fluu f hrg rrr lr ub r ld- d. Flkr ur ld- mp d uum ub. Flkr pwr r rl wh frqu, d f lld / f -. lm ud b rdm m f hrgd prl zd g, uh plm, h phr, r prkg lrl. Quum rul frm h quzd ur f hrg rrr d ph; f gf rl hr ur.
4 hrml lg d wr hrml h m prl p f urd F d mrw m. hrml grd p ru lm h l, uh rr, l rm l, d hr l mp. mp lk rr l h ju r u hrml. hrml l b grd b mphr u d rllr bkgrud rd, whh mlrl l rdm m f hrmll d hrg. hrml lg rd rdm rbl wh zr m lu bu -zr rm lu. h rm lu f lg : lk blk bd rd lw whr 4 h h f f / k h k.8 4 rdm lg grd b rr J - lk' J/ K lzm'
5 d h mprur dgr kl K h bdwdh f h m Hz f h r frqu f h bdwdh Hz h r Ω mrw frqu, ug h f h h f << k d dpg h fr w rm f lr r p fr h f / k h f h pl g, k h h pr f lg rdu 4k h qul fr lgh-j pprm Cg ld rr rul mmum frm h rr, whh drd pwr rfr
6 k whr rpr h rm grd h ld. W lu f lg Dr π f k pwr prl d W/Hz d D: w-dd D lgh-j pprm prd h pwr prl d dpd f frqu mrw bd; uh ur h pwr prl d h wh frqu, d rfrrd wh ur. h pwr drl prprl h bdwdh, whh pr uull lmd b h pbd f h mrw m.
7 j urrl d δ π h l pwr r f bdwdh, whh ru bu rd D l r f, bu r wd, frqu bd. rr b rgrdd r f m mll rr wh lg r rdm rbl. h rl lm hrm, h prbbl d fu f wh u wh zr m: σ f πσ { } whr σ σ drd d σ r rm pwr lu lg fr bdlmd wh. uh dpd wh ur h r rd u drbud rdm rbl r lld wh u. I dd, hr pwr r b dd. f Ω
8 u-crrl d D { } π d d j j I lr m-r LI m,, H h Lr LI m h h d H r mpul rp d rfr fu f h lr m { } { } u u h u h h h u u u h u h h h u u u h h j j d d d d d d d d
9 rfrm hg f rbl α u h u H H j u h H j α j α dα du d Wh u hrugh Idl Flr Fr dl lw - p / bdp flr u H u, h pbd H, h pbd u, h pbd H, h pbd um h h bdwdh fr h pbd qul Hz u u Oupu pwr - d π u d - f f k W Idl Lw-/dp Flr { u } [ ] σ u
10 Mg f σ u whr u h θ { u } { } [ ] [ ] θ { } { } [ ] θ π σ σ [ θ ] dθ π Mg rdu h rg u h drbud mbl rgg f h rm pwr b hlf. du { u u } { } { θ [ θ ] } ph h f llr, θ, rl < θ π, θ rdm d Idl Mr rbl dpd f u u ufrml.
11 u π θ [ θ ] dθ π u j j d d j j j d [ ] 4 4 rrwbd pr f Wh / Wh ± / ± / θ Idl Mr ' ' / 8 >
12 > < << / fr, / fr, r d f D h flr. h f bdwdh rrw h du lwl rg bu r pr, rdm r d whr rprd b h, If { } { } { } { } { } { } { } { } { } r - rrl fu: r d whr ] ][ [ : rf 4
13 [ ] [ ] [ ] [ ] ld 5 7 d 6 ubug g h mu h. d f ff h hu. r wh d, fu l f urrl mu b pr, r u bm 4 prdu, rgmr pd d drd ug 5 6 7
14 > < < ± / fr, / fr, d ll dpd r d 8 d d d b fud l b urrl fu h lwhr, fr, b g h I h W / / π π π π π π π j j 8 9 fu.
15 gl-dbd Mdul upu lg fl h flrg fr lw - p. f mp qudrur bdlmd h r d whr m IF IF m IF m IF IF IF m IF m IF. Mdul d D
16 um h h h h h Z rrwbd / 4 / 4 Ω rg pu gl pwr : / rg upu gl pwr : rrwbd pu pwr : upu pwr : { } { } { } { } [ ] h rul hw h h dmdulr d dgrd h pu. h frqu rl prfrmd b h mr h dmdulr ff h pu gl d qull, lg h uhgd. rl mr d flr h l d gr, d h wll ld dgrd f h upu
17 Dubl-dbd upprd-crrr Mdul upu fl h flr, bbd lw - p fr h m IF IF m IF m IF IF IF m IF m IF m IF m IF
18 { } { } { } { } 4 / / 4 4 ] [ : pwr upu rrwbd h pwr : pu rrwbd h 4 : pwr upu gl rg h : pwr pu gl rg h h rul ugg h h D-C dmdulr mpr h pu b fr f w. rbbl f rrr rrr r
19 { } { }. I grl, d r. pwr prl b rg lld / b rg Jul, h d Hz, bdwdh h b/, r d h whr d / rbl f hg h Ug rpl. K m b rmd h "" d br "" rrr wh prbbl f h dfd r d whr d d / / / rf rf rf rf r r r r r b b b b b b r r b b < > < σ σ σ σ π σ πσ πσ
20 Wh u hrugh Idl Igrr * / 4 f f f f H H H j H j j j π π π π u u H Idl Igrr ' d I K dmdulr, h grr r rul mp mpr prbbl f rrr. Fr w m wh u pg hrugh grr fllw. f f f f f H u u u d d Hz W π π π σ π π
21 π f d W π, w m h prbbl f rrr wh br gl p hrugh grr ghr wh mplr K dmdulr. d rf σ { u } { u } > > u σ b u / rf b u πσ /σ u u d u
22 Cmpr f b rrr r fr K, FK, d K d. K g br rrr r prfrm h hr br mdul mhd, bu rqur hru d. K mb wh M-r mdul mhd g muh br bdwdh ff b / bp/hz h p f mr mpl m. Mwhl, wh bbd pul-hpd flr ppld, lp bm rg wh m d hu h m rqur hghl lr F fr-d ru. K grll ud hgh prfrm m uh llulr, WL, d ll mmu m.
23 ummr D gl mpr h upu b d bu rqur w bdwdh wh mprd gl. l bw b r d bdwdh ff : rg d r b b b b b whr upu gl pwr w d b b r bp. h upu pwr w. hu, b Oupu b b b whr b rpr h bdwdh ff bp/hz. rbbl f rrr fr hru K d QK d : rf b
24 mpl: Mmum Dbl fr QK I-54 C llulr m u QK wh b r f 48.6 kbp. h rr h bdwdh f khz. If h rqurd b rrr r -5, fd h mmum dbl d. Fr QK, d fr b b d 9.6 Fr h I r Q mbl hl: / b b b b lg.7 d
25 . mprur d Fgur qul mprur k K k k k
26 Murm f mprur dr w mur qul mprur dr h mp wh kw ur, d mur h r upu pwr. ur lk rr gr qu mll pwr. ur lk dd d lr ub gr muh lrgr pwr d r uull hrrzd b r : g g d lg lg whr g d g r h pwr d mprur f h ur, d d 9 K. qul k ld ur pll h rgg frm 4 d.
27 Y-fr mhd Y Y Y k k k k Fgur hr hrrz h fgur, whh b wd mur f h dgrd f bw h pu d upu f h mp.
28 d / / lg d / / Oupu Ipu F F l bw fgur d qul mprur ddd k k Ipu pwr Irll grd frm mplfr F k k F
29 I grl, k / F / ddd / /[ ddd ddd ] ddd grl ddd b prprl, d h fgur dpd. u rl fgur murm, dfd k, 9 K, uh h fd lu f fgur b k. F h w k ddd wh k k mur, 9 K. d 9 ubqul, Fgur f L L / L F, udr h d
30 Du ddd k h hrmdm qulbrum k ddd k k ddd F Fd ddd L ILd L k k udr h L k L d Fgur f Cdd Cmp L
31 m dd f mprur qul k k k k k k : g dd umbr f fr rbrr I grl, ] [ / F F F F F F F k k F
32 h b pr hw h h hrr f dd m r dm b h fr fw g, h ff f lr g rdud b h prdu f h g f h prdg g. Fr b rll m prfrm, h fr g f rr L, lw mplfr huld h lw fgur d l mdr g. mpl: l f Wrl r h pu pwr frm fdg k, whr 5 K. um h m mprur, wh hrr mpd f 5 Ω, d IF bdwdh f MHz. Fd h upu pwr. Fd h upu w-dd pwr prl d. Fd h mmum pu gl lg fr h mmum dbl f d h upu f h rr.
33 d d d.5 d 4 Fr Mr :.79 d d.6, d : Fr F d.58, d Fr L : F F F F L F L F F dm W K l l l k k F mplfd wrl rr
34 .5 Fr upu f Z l F d 5 K. h mpu f /. W/Hz 5 h m b mpg mpu d K, whl h prblm l pu f huld b rrd b W dm. µ rm h upu pwr W whh rr rul! h r fr h dpr bu h df f fgur um pu ll f F k 6 F 4 k k,,
35 F k ddd [ [ F ddd ddd F k ] [ k F ] k Fgur f w-r wrk k ] h p wrk m h h wrk d d uh dd d rr, whh gr hrml. Γ ddd Γ k ddd whr h lbl pwr g.
36 / qulbrum hrmdm Du k k F k k k ddd ddd ddd Γ Γ Γ Γ Γ Γ Γ Γ ppl Mmhd L L
37 / / l l h mr f h ] [ ff rfl ur h L L L F L L L L L L l L Z Z Z Z u l j u l j l l j l j l l g g Γ Γ Γ Γ Γ Γ Γ Γ Γ Γ Γ Γ Γ Γ Γ Γ Γ Γ Γ β β α β β α γ γ
38 If Γ L d F L whh rdud h pr rgrdg mhd l l. Cmpr kw h h fgur fgur r qul mprur r fr mmhd l l. h r fr h r h h l l ull dlr pwr u f bh pr, bu wh h pu pr mmhd m f h lbl pwr pr rfld frm h ur bk pr, d ppr pr. O h rr, wh h ur mhd pr, f h lbl pwr frm pr rfld bk h l, h pwr lbl pr mmum. ppl Wlk wr Ddr [ ] j L
39 lu h fgur f h Wlk ddr, w fr rm pr wh mhd ld; h r h -pr d -pr d. j [ ] Γ L L F L Wh, F L Fd d L f h l d Ir L d frm pr U h p f hrmdm qulbrum : frm k ddd k L ddd k L ddd L k k L F ddd L k L pr. ddd
40 4. Cmpr d Irmdul Dr d d!, d d!, d d, whr lr r Cmpr um h h pu gl gl frqu ud :
41 lr r Cdrg h rm f h lg g f 4 4 h 4 gl lr r up h hrd mp 4 rdr I m prl mplfr pll g, h h g f h mplfr d dr fr lrg lu f. h ff lld g mpr, r ur. hll, h uull du h f h h u upu lg f mplfr lmd b h pwr uppl lg ud b h d. mllr lu f wll ld hghr upu lg.
42 O d u. -d mpr p d quf h lr prg rg f h mplfr, w df h d mpr p h pwr ll fr whh h upu pwr h drd b d frm h dl hrr. Irmdul Dr um h h pu gl w frqu mp f qul mgud w : I d
43 ] 4 4 [ ] 4 4 [ lr r Irmdul prdu h upu prum f hrm f h frm m wh m,,,,,. h mb f h w pu frqu r lld rmdul prdu.
44 h rdr f g rmdul prdu dfd m. Zr rdr DC prdu IM : m, Fr rdr lr prdu IM : m, m, d rdr qurd prdu IM : m, m, - m, - m, hrd rdr ubd prdu IM : m, m, m, m, Oupu prum f d d rd - m, - w- rmdul prdu - m, -
45 h hrd-rdr rmdul prdu IM frqu mp:,,,, -, -. h fr fur frqu mp l fr fr frm h fudml frqu d, d wll b ud h pbd f h flr. u h l w frqu mp, -, -, l r h fudml frqu, d b l flrd frm h pbd f flr. Fr rbrr pu gl f r bdwdh, h rulg -bd rmdul prdu frm mlr mhm wll u dr f h upu gl. h ff lld hrd-rdr rmdul dr. hrd-ordr Irp I h pu lg r, h lg d wh h hrd-rdr prdu r. pwr prprl h qur f h lg, w l h h upu pwr f hrdrdr prdu mu r h ub f h pu pwr. fr mll pu pwr h hrd-rdr prdu mu b r mll, bu wll r qukl pu pwr r.
46 OI O d u. II I d Fr h rl bw pu d upu pwr hw lg-lg r dm-dm l, h upu pwr f h fr-rdr, r lr, prdu prprl h pu pwr, h ur drbg h rp h lp f u ul mpr ur hgh pu pwr. h ur drbg h rp f h hrd-rdr prdu h lp f d l hb mpr hgh pu pwr. h rgh dd l rprg f hr dlzd rp wll r, h w l h dffr lp. h hphl r p, whr h fr-rdr d hrd-rdr pwr r qul, lld h hrdrdr rp p.
47 l bw d d I Cdr h rm f lr r h whr - d d O d d d 4 p d mpr p.. 4 d Z Z d d d lg.5 d Z.5 up W lg d.5 h Z 5 d hrd 4 4 lg rdr : lg lg 4 d rpr h lg g d pu lg dm
48 dm.64 dm dm wr b d rl bw h dm dm dm 4 9 dm.5 lg W 4 9 pu lg. h p rfrrd hrd - rdr rp h rp whr p rp h 9 4 I lr rg : d d O OI OI O OI OI Z Z OI Z Z OI Z Z Z Z I I I I I I
49 Dm g Lr dm rg D l pwr rg lmd h lw d b d hgh d b h mpr p. h uull drd h ubl pwr rg fr lr pwr mplfr. D l O d O k d F puru-fr dm rg D f D f O OI OI d pwr rg lmd h lw d b h hrd-rdr rmdul prdu qul h ll d hgh d b h rrpdg upu gl pwr. h uull drd h ubl pwr rg fr lw- mplfr r mr rr. II d II
50 dm dm 7.9 dm dm dm dm d dm d.8, d.8, d.8, d.64 d d dm OI dm d d h dr W dm dm d hw h l I b dm dm d rl h f ubu Wh d d d / / / / / / / / f f f f l f f l f f l f l f l l f f O OI D O D D D D D D D D D D D O D D O D OI D F k OI OI OI OI D OI O O O O < < > >
51 mpl: m f -d mpr p d purufr upu pwr lw mplfr w murd h g f d, fgur f 5 d, d upu hrd-rdr rp p f dm. m O d d O f. um h 9K d MHz. Ol rm up h hrd rdr lr r wr drd h lr l. O O d whr f dm dm dm lg k F O f lg.8 dm OI O dm.64 d dm dm 9 dm dm dm 9.6 dm dm
52 mpl: m f Dm g rr h fgur f 7 d, upu -d mpr p f 5 dm, g f 4 d, d upu hrd-rdr rp p f 5 dm. If h rr fd wh hg mprur f 5K, d h mmum dbl upu d, fd h lr d puru fr dm rg. um rr bdwdh f MHz d 9K. D l 4.8 d O ddd d [ k 6 F k ] k [ [ ].8 dm dm d -8 F W ] 47.4 dm If h mmum dbl upu pfd, h puru fr dm rg mr mgful b rdfd h rg frm mmum dd gl pwr puru fr gl pwr. D D f f f d Obr O h Of D l [ OI dm d >> D OI f / dm ] [5 47.4] 48. d
53 Irp f Cdd Cmp " " ' ' " " ' " ' ' ' ' ' ' ' g : d h upu f h fr g : h upu f h OI Z OI Z OI Z OI Z Z OI ' OI " OI OI
54 " ' " " " ' " " " ' " " ' " " ' " dd: h r wrk fr I grl, wrk. dd h p f upu hrd - rdr rp qul h whr / " OI OI OI OI OI OI OI OI OI OI OI OI Z Z OI OI OI Z OI Z
55 OI OI OI / OI / / OI / h b pr hw h h hrd-rdr rp p f dd m dm b h l fw g, h lr g ddd b lrgr prdu f h g rdu I mr gfl h h rlr g. mpl: Clul f Cdd Irp Fr h Fr h L 6 d, mplfr : d, mr : II OI " ' dm dm ' OI " OI
56 OI " ' OI dm dm 58 mw fr mplfr d Ld 6 d.5 fr mr OI mw ' " OI mw OI mw.558 OI mw h h " dm II 4.4 OI dm 6 mw lu d dm. dm 5 ml lmd Irmdul IM mw fr mr b h 5 mr' OI. h rmdul prdu l b grd b p lr ff r, bl,, r lm mp whr hr ml--ml. rmdul IM b ud b umbr f fr, uh pr mhl, d f ju bw frrubd ml, m f dug urf F ju, r h u f lr mrl uh rb fbr mp r frrmg mrl.
57 Wh hgh pwr r ld, hrml ff m rbu h rll lr f ju. I r dfful prd IM ll frm fr prpl, murm hqu mu uull b ud. rll pkg, h hrd-rdr ff fr p mp r qu mll. hrfr, IM uull l gf wh pu gl pwr r rll lrg. h frqul h llulr lph b rmr, whh m pr wh pwr f - 4 dm, wh m ll pd F hl. I f drd m h IM ll blw 5 dm, wh w 4-dm rm gl. uh wd dm rg rqur rful l f p mp ud h hgh-pwr pr f h rmr, ludg bl, r, d mp. u h mp r f pd h whr, drr du d, br, d ulgh mu b ff b rful m prgrm. IM grll prblm rr m, du h muh lwr pwr ll.
58 blgrph D.M. zr, Mrw d F Dg f Wrl m, Ch.,9 D.M. zr, Mrw grg, d d., Ch.
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