BB 3 Sil d Sistm di Dmi B 3: Sil d Sistm di Dmi lis sil d sistm is dirmdh il dil d dmi. Ut it, sil d sistm dirrstsi dlm dmi ii mdi hsil dii t lis. Trsfrmsi d Sil. Dfiisi Trsfrmsi T Blr srt mgthi dfiisi Trsfrmsi dri sil srt dfiisi d grti Rgi f Cvrgc RC, i sh limil. Kws Wt frwrd ivrs Kws Z Z-l sqc limil Z-trsfrm t sil : {} Rgi f Cvrg ROC : r dlh drt t higg m scr mtmtis is rili t trhigg tid lh. Olh s it g is dig dlh ROC T Blr srt mgthi hw t sil rdrsi trts fiit drti, dlh limil rrd trts dg RC slrh idg cli titi trtt. III-
BB 3 Sil d Sistm di Dmi {,, 5, 7,, } - 5-7 -3-5 ROC slrh -l cli, T Blr 3 srt mgthi dri imls d vrsi trgsr sh sml. {,, 5, 7,, } 5 7 - -3 ROC slrh -l cli, δ ROC : slrh -l δ-, > - ROC : slrh -l, cli δ, > ROC : slrh -l, cli T Blr 4 srt mgthi t sil drsi t higg srt RC g ssi gi. Cri Z-trsfrm dri / Jw : {,,,,,, 3, }... III-
BB 3 Sil d Sistm di Dmi Igt, il < Scr mm rl, il ; ROC : < ; ROC : >/ t >. T Blr 5 srt mgthi rd RC t sil rdrsi t higg sl di lr ligr, ti-sl di dlm ligr, d misi cici. Kvrgsi dri sil sl d tisl rtm it th hw ilg mls dt dit dlm t rtsi t t lr, misl θ r R Im I m θ R Gmr. Bt lr dri ilg mls. θ r III-3
BB 3 Sil d Sistm di Dmi θ c < r θ r θ r r r r r Trm csl : d trm hrs vrg r < r hrs cil, < r < r r I m r R Trm sl < r, r>r, >r Gmr. ROC t trm sl. III-4
BB 3 Sil d Sistm di Dmi I m r R Gmr 3. ROC t gi sl. Kl d-d sl d sl d d r < r, m ROC rt cici. Gmr 4. ROC t sil dg gi sl d sl. Cth :, cri ROC : - < III-5
BB 3 Sil d Sistm di Dmi III-6 > Ctt. Bil,, > Cth :,, l l Ctt., < - < < trt sm dg slm cli ROC
BB 3 Sil d Sistm di Dmi O sidd Gmr 5. ROC t sil g fiit m ifiit.. Ivrsi Trsfrmsi T Blr 6 III-7
BB 3 Sil d Sistm di Dmi Ivrs : srt mgrti dfiisi Ivrs trsfrmsi srt r dri trm Cch ctr itgrl. Cch Ctr Itgrl c π, d, π, d, c d c d c c π π c d d.3 Sift-Sift Trsfrmsi T Blr 7 srt mgthi d dt mmft sift liir dri trsfrmsi, trms t mghitg trsfrmsi dri sil cs ω d si ω. Sift Lir: ROC ROC ROC : ROC i III-8
BB 3 Sil d Sistm di Dmi Cth : [3-43 ] 3-4 3 ROC : > ROC : > 3 3 3-4 ROC : > 3 3 4 Z > 3 Z 3Z Hitg. csω. siω Cth : csω csω csω 3 siω siω csω T Blr 8 srt mgthi it rgsr di dmi wt trhd d dt mmft. - Z - ROC : sm dg cli > < III-9
BB 3 Sil d Sistm di Dmi III- Cth : lswhr,, Cri rhti : - Di m - - > ROC > hitg lwt cr li cs ω ω ω ω ω > ω ω > ROC: cs cs > ω ω ω ω ω ω ω ω ω ω ω ω
BB 3 Sil d Sistm di Dmi si ω ω ω siω csω ROC : > T Blr 9 srt mgthi it sclig di dmi trhd sil di dmi wt d dt mmft. r < < r - r < < r Bti: Z il ROC : r < < r r < / < r r < < r T Blr srt mgthi it tim-rvrsl di dmi wt trhd sil di dmi d dt mmft. ROC : r < <r m ROC : /r < </r Bti : III-
BB 3 Sil d Sistm di Dmi Cth : l l l r < - <r - /r < </r ROC : < T Blr srt mgthi it difrsisi di dmi trhd sil di dmi wt d dt mmft. d d [ ] - - Z{} d Z{ } d Cth : ROC : > d. d III-
BB 3 Sil d Sistm di Dmi > Cth : > T Blr srt mgthi hw vlsi d sil di dmi wt mghsil rli d sil di dmi, d dt mmft.. Cth : Hitg Di m {, -, }, 5, lswhr w : - - - - - -3-4 -5 III-3
BB 3 Sil d Sistm di Dmi - - - -6-7 {, -,,,,, -, } Cr li: - - 6 liht cth slm * - -6 - - - - - -6-7 dst. T Blr 3 srt mgthi trm disi wl d mgg. Trm Kdisi wl csl i..,, < lim lim liht tl! Bt Rsil dri Trsfrmsi. Bt Rsil d lt l-zr T Blr 4 srt mgl t hss rsil dri, d mgrti srt dt mcri l d r dri trst. srt dt mmlt l-r trst di idg. Dfiisi : III-4
BB 3 Sil d Sistm di Dmi III-5 Zr dri dlh ili-ili di m l dri dlh ili-ili di m rsil, D /...... Bil d...... r d D limil, m i i i i G...... lt : Gmr 6. l d r dilt d -l msig-msig dg lmg d. T Blr 5 Im R rs ls
BB 3 Sil d Sistm di Dmi srt dt mcri d rdsr lt l r. Cth : lt l-r dri sil > ROC : > r ; Cth : Gmr 7. Kfigrsi l d r d sh ss. Ut,, lswhr ccls π /... - r - l III-6
BB 3 Sil d Sistm di Dmi Gmr 8. Kfigrsi l d r. Sl : Cri Z-trsfrm dri sil dri : Jw: Gmr 9. Kfigrsi l-r dlm gsi. r : ; rcsω l : r ω ; r -ω G r G csω ω r ω r r csω G r csω G r csω ROC > r III-7
BB 3 Sil d Sistm di Dmi T Blr 6 srt mmhmi sift sil sl di ws wt it lsi l, mgg ss st l, l gd, d ssg l cml cgt. srt g mgrti hg lsi l dg stilits sistm. Sift ws wt sil sl it lsi l C d <,, > it circl Kss l rl > Gmr. grh sisi l trhd dimi sil. Kss l rl dl > III-8
BB 3 Sil d Sistm di Dmi Gmr. grh sisi l gd trhd dimi sil. Kss ssg cml cgt III-9
BB 3 Sil d Sistm di Dmi Gmr. grh sisi l gd gt trhd sift dimi sil. Jdi: sil dg l di dlm it circl sll trts mlitd. l dt rigi dc ct rl t sistm stil 3 Trsfrmsi Ut Sistm T Blr 7 srt dt mdfiis fgsi sistm H dri h m hg I/O dri sistm LTI. srt g dt mcri H dri sistm LCCDE scr ct, trms t ss hss ll-r d ll-l. Fgsi Sistm: III-
BB 3 Sil d Sistm di Dmi III- H H / Sistm Fgsi h h H Sistm LCCDE: H Kss hss - H ll r, FIR H ll l Cth : Cri H d h dri /- Jw: h H 4 Ivrsi dg Cr rtil Frcti T Blr 8 srt mgrti risi ivrsi trsfrmsi dg cr rtil frcti, i t g rr m g imrr.
BB 3 Sil d Sistm di Dmi III- Ivrsi rtil frcti trm stdr, rgtg l d ROC ivrs msig-msig Ivrsi dg rtil Frcti Dfiisi rr il il d < il tid rr is dit 6 6 5 3 3 6 3 t rr irr 6 6 6 T Blr 9 srt dt ml ivrsi trsfrmsi dg cr rtil frcti t g rr d mmilii l disti. <... sll rr............ Cth :,5.5
BB 3 Sil d Sistm di Dmi III-3.5.5.5.5.5.5.5.5 -.5.5.5 - -.5 Ctt.,...,... Cth :.5.5 / / / - / 3 3
BB 3 Sil d Sistm di Dmi III-4 T Blr srt dt ml ivrsi trsfrmsi dg cr rtil frcti t g rr d mmilii l g rrd gd. H 3 3 4 3 4 3 d d >, csl i.5.5 Cth :.5, ROC >, <.5, t.5< <
BB 3 Sil d Sistm di Dmi III-5 Kti > csl -.5 <.5 is csl - --.5 -- * ROC.5 < < < ti csl >.5 csl --- -.5 T Blr srt dt ml ivrsi trsfrmsi dg cr rtil frcti t g rr d mmilii sg l cml cgt. Cth :.5 3 3 [ ] [ ] r r β β β cs * *
BB 3 Sil d Sistm di Dmi III-6 7.565 4 cs 7.565 4 9 4 4 π π T Blr srt dt ml ivrsi trsfrmsi d LCCDE mlli rh t dlm t l-r, d mdi mdmsisi dlm r lm trm imrr, sigl rl l, cgt ls, d mltil ls, mdi msigmsig dirss ssi cr msig-msig. > 4 3 4 /4-3/4 [/ ] [/4-3/4 /] Dmsisi mltils c ltrtif :
BB 3 Sil d Sistm di Dmi 5 Trsfrmsi St Sisi T Blr 3 srt mgthi dfiisi trsfrmsi st sisi srt siftsift d rsm d rd dri is. sift-sift : Tid mmi ifrmsi t < Ui t sil sl ROC sll trir dri sh ligr T Blr 4 srt dt mr sift shiftig dri i tim dl m tim dvcd d mgrti rd dri sift shiftig. Sm Z trsfrm rrtis rl cli sift shiftig Kss. Tim dl III-7
BB 3 Sil d Sistm di Dmi III-8 sl il ] [ > Bti : ] [ Z......... [ l l l dst. Cth : - di m ] [ Z r - - - - d Z
BB 3 Sil d Sistm di Dmi III-9 Scr ititif : ]... [ } { - > Z Kss. Tim dvcd > Bti : } { l l l Z sdg l l l l l l l l l } { l l l Z Cth : Bil, cri Z {} Jw: ] [ } { Z T Blr 5 srt mgrti sift simtti dri trsfrmsi st sisi. lim lim
BB 3 Sil d Sistm di Dmi III-3 limit ist il ROC - mgdg Cth : d h < cri ili st sqc dri H H ROC : Kr < ROC mgdg lim lim T Blr 6 srt dt mr trsfrmsi st sisi d ss slsi dri drt Ficci. Drt Ficci :,,, 3, 5, 8, Cri cls frm : - - Kdisi wl - - - - d - [ ] [ ] Ivrsi :
BB 3 Sil d Sistm di Dmi III-3 5 5 5 5 5 5 3 5 5 5 5 3 5 5 5 T Blr 7 srt dt mr trsfrmsi st sisi d ss sistm dg disi wl trtt. Tt rss st dri - < dg disi wl - w : [ ] 6 Rss Sistm T Blr 8 srt dt mghitg rss sistm g mmilii H rsil, rdsr lis l d r dri sil it d fgsi sistm, trms mgidtifisi rss trl d frcd rss.
BB 3 Sil d Sistm di Dmi III-3 Rss dri sistm g mmilii fgsi-fgsi sistm, g rsil Q B H Bil disi wl, - - - Q B H Bil ls sistm :,,, sil : q, q,, q L q m,, m,,,l Bil tid d r g mmt trdi l-r cclti, m Frcd Rss rss trl L L q Q q Q rl dictt hw f,q Q f,q Zr it r tt trl rss Jdi trl rss r it rss t ili rld. T Blr 9 srt dt mghitg rss sistm g mgdg l rdr gd/.
BB 3 Sil d Sistm di Dmi III-33 Kss mltil rdr ls ss srti d scti 3.4., i : mgdg trm l,,,m mgdg trm - l T Blr 3 srt dt mghitg rs sistm g mgdg l-r d disi wl tid l trms mgidtifisi r stt rss d r it rss. isl ditr d d -,, - Cri, H s i s H h LCCDE
BB 3 Sil d Sistm di Dmi III-34...,,, i s i i D ' L D q Q ' f dri iitil cditi dlh mgltr rss trl dg mgh mlitd mdi, tti tid d f d frcd rss. T Blr 3 srt mmhmi im dri disi wl d rss. Cth :.9 - -.8 - Cri rss it st Iit : - - - - Jw : Rld.9.8.8.9 3 / 9. π
BB 3 Sil d Sistm di Dmi π. 9 / 3.54.49.54.49.99 s π / 3 π / 3.9.9 [.99.88.9 cs π/3-5. ] Ut - -.9.8 i.9.8.6.4936.6.4936 π / 3 π / 3.9.9 i.988.9 csπ/3 87 s i.99.568.445.568.445 π / 3 π / 3.9.9 [.99.44.9 csπ/3 38 ] T Blr 3 srt dt mghitg trsi d std stt rsss dri sistm g mgdg l-r. r < r dcs I this cs r trsit rss Bil l dt lm dc L fr Q q il q < fr dcs trsit rss ti il q fr sisid std stt III-35
BB 3 Sil d Sistm di Dmi vr dcs s ss, msti d trs, > cth : Cri trsit d std stt rss dri.5- cs π/4 - rld H l.5.5 H mili H 6.3.5 6.78 8.7 π / 4 mili 6.78 π 8.7 / 4 r 6.3.5 fr 8.7 π / 4 8.7 π / 4 [ 6.78 6.78 ] 3.56 cs π/4-8.7 rsist 7 lis Stilits Sistm T Blr 33 srt mgrti hg tr disi l-r sistm dg slits d stilits dri sistm, mlli lis RC. Trms di dlm ss l-r cclti, d mltil l d it circl. Kslits III-36
BB 3 Sil d Sistm di Dmi h < ROC strir dri sh ligr LTI csl sstm ROC strir dri ligr r <, trms BIBO h < H h H h h H h Jdi il BIBO stl, m d di ROC, t g r. BIBO stil ROC Bil csl ROC strir r Stil ROC > r < sm l hrs d di dlm it circl Cth : 3 4 H 3.5.5 3 Cri ROC dri h gr stil csl c ticsl Jw : Sstms hs ls / & 3. Stil ROC hrs trms it circl, / < < 3 h / - 3 -- III-37
BB 3 Sil d Sistm di Dmi III-38. Csl ROC > > 3 h / 3 c. ti csl ROC : <.5 h -/ ---3 -- th sstms is stl * l - Zr Cclltis Cth : Cri it sml rss δ dri sistm rit ii :.5- - - -5-6- slsi : 6 5.5 6 5 H ls /, 6 5 H B 5/ B d r g mgccl - Zrs : 3.5 3 3 H.5 h δ Sstm Sstm
BB 3 Sil d Sistm di Dmi III-39 3 trdi cclti Cri rss 6 5 3 δ δ 3 6 5 H 3 md /3 dit sgi hsil dri l-r ccllti * ltil l l it circl c dgrs Cth : H il U stl ss mltil l : m-, m rd dri l dmits
BB 3 Sil d Sistm di Dmi il < tlh stil g rg : digitl sciltrs mrgil stl T Blr 34 srt mgrti stilit tst mrt ti Schr-Ch, d ti t rd. Stilit tst :... rts dri hrs d dlm it circl liht Schr-Ch hl 3! * Stilits t sistm rd- tig r mg "sic ildig lc" H 4, ± 4 4 dtrmi BIBO stl < < Kr m < d mr srt stil sgitig stil III-4
BB 3 Sil d Sistm di Dmi III-4 Gmr 3. Drh sgitig stil Schr-Ch. * 4 > H h diffrc dri tw dcs. Sqc 4 H h rm dcs. 8 t Dmii tlh diri sil d sistm di dmi.