Digital Signal Processing Notes, Lecture notes of Digital Signal Processing

Download Digital Signal Processing Notes and more Lecture notes Digital Signal Processing in PDF only on Docsity! 2» S6bbb 6b. ° 2 Xb)» ! & ~ a Yay 2 = \ RY? ? - (rae e9 (ease ay 4icd nen) +9 : Cavmal Kw 2 + Lenya ay ¢ A & + S— pM 7 24 @1) au ena” vat) 2 at _ 2 A (2-4 RR ANP!) AcQa)s2? art = . =2 tet . ° a es 2 @& > = & tS 1 we h 2a) 7 BA 2\ 2) nore fh +£uy* +10” Jou win) s{rerrs 4p) Ge eD ae Xe= l4ee tye + 44a% be Baa 4 Lye gute "an Lary Forty \ Wor ger tay (LE 142 5? tee “i ree Moh Bas 2% WI pty ot ey ata 6 “yee ee Ve Ve EYE SEF EEOC OHHH HEGEbEKbEL Hb EL It Sgt gdyt ~> BT a atdy 6G => rot +A ~~ _ __f + la tat | de 9 shady. pe" egret > fe 4 GB + > jpotha 1 > tL = xk) : +1 Ve 3a | ie > xm = Sto) + ody {ays ("| ule) “flay \@ 8 xs 1 t-ret 4097 *A@) 21 Ss ways fina (-2edre) ae Ss Hin) = LN) * ) = ho = Pulp) xe uty) eo UU GO Ge 82 GH € G64 € ca ch erlUlCUhUWhlUhhCi<—CrRhHSYSSCUL| (A> a) Rea] Y (m) “Pay - 24) "fu 4 ° Py OAL by - . 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Yl > rea (- aryl jeoaxt4o24) oe Oe vevev eevee sv wvuvueteeweewtee€é © @& ) ooOoCcedMH GOOG EG e® 0 Find Wa 50d Ato meen a tygem inp nd = [Lye fe Puporte = LN) = (4) uln) 4 2) “urna = (Ayu + ul-nd Balu A mi Biba “ee “H, & nin < 2 pa & wore] aoe . habs cyto 39g hia tow = fa % ¢ LO drould be Jule 2 jrun\| 2" pie n--7 suhun This uous £ tun km mtn) vA ovaluoled undan “hi, gee (yet . kaciem vA > \nw) ¢ >) ——* t he G fm an un si um “0 be aoble Pre COC 4 {gtr Jp mee a indude writ ore 0 a Oe ‘lo ven by “Me Aids eqn Dokemine Wy und Aispulie. Response af the Aju J of Me { °4 yin = 2byLN-) ro — yin) HUN) ~Fntn 1) FG a(n -2) Yls) [ yr abtty g2) - x (2) fi 545921 YW) BAVA Ga XB) | V5 ot y od 2al 4 = 4? sz 16 Se 2 esi 2 = g-saag ~ p-5246 2-£) (9 3) 1-229) (ara EDey Smee) = ~ AA) 324 n“- ss ¢- wOU Cie), |-244 WA) Cpe) HQ\= — = yas ww 2 f° é} =o - 3o4 Coinetlation {-lot \-194 re — > fs) ! wae = on — htn) = (fun ~[3) ulo-) A 02 \ 32 => ytay= Lytns) xn) ~ Bl) : 4) ~ WwW & Determine ~the repome th jm Y= Ey) Lyin 4 awe jp atny = sto) 33) yw) [: “Fe +124) =X) Sx = 1 wir “4 = VIR) \ RE yey + SU \ Ce Tecrete Woe forrien “Wanton cohin we take durecete oye ln) ws —jwn s xu) = 5. xn e } New ns Se » pam on ote Ry “Kt0% «0 3 a laraand)~ aio) PEIN New =n et kn Dierete — “bwin ~ anew ol . Dn g Ne-09 =< ~jwn > x00) @ = Xl) N= -99 ~ . oO > Bi = rw sel et! X(UERr) =x N }! + DFT ker FOF TP PPA PPPSPPSSAA d °? i bes par t : / . x Xe =p xe N(rto He Ing ma weet el ma Biaite Neo wot 2 ated N20 alunoten rout <7 gant dali es: fi ne aapnk\ — >ivw- S ane pa) vs0,)) Wy) | —_ n=0 OO ” —~, IN} pr Poet Tovoue divrate FF NA ‘yank |!” ~~ - 2 J2K0k [s HZ NWE TN 920,11) -- wu] keo ) Xn) = foyv2r8h : C XU =? Cronenatly in FFT au length=h DS N>h Ne2" wa preored. g aj2R ony Uy = Swe K=O, 1) 213 n=o a —jor(K ~\r7( & apa (kk = 0 ory Lew Ga), ae” Gy ee Gr) KX =|xk jer (2 yw 0 + oR 4 ey 2c EY) yo = X= OF FF2TS Hb . “ Ly 4 Ry kal * RQ) = OF ete ye M20) = or tp4 2) + afo -cy) = j-2+y<0 2-2 22 XO = ove lancer = “1 ‘ . o+ [ah 4211] 4 20f) P= Los -ina > agen 7h ek a = o-~jty a JK Coa) = We2=K)=E QC 4 rey HEM J = 0 +yi) + of] +2f4) = J 2 = -2-24 => (bye 3, red hy 2-2) c Direrde + Posiodie ~*~ DEY 3 Dicrete 4 Raiotic. Dicerete 4 Afesdedie, HY KS Conte + Pesiiodic = Sto? yovv \ : a vy) ry \}n a Btn) F0, 12,39 Xp ail 7 2 : ‘ x(2) Vay rts $ i <a-%> -{6 7 ~2-24 2 ~ 2434 Soe == NK nk Xs = Wa an ( on on) = 4 an j a FP a = Whol os 28 ok in _ nk e e Xn) =a Xo Ww N fo = 1 Ww Xa N x > Wels Lig = Wao Wy = ON 2 Stn entre De a lenown ay Unifeuy adginr OF Wrane}on mation Matyi 4 nitony a Supametotic, Find Snvee if py qx bo vee Gaye Using Wanrfermotion natin tethod o toroa 6 D 5 roy A AD] ly | 4 2 s @ Periodicity | airy PFT. xt N way @ x00 9 OEY thin ators ayy NP Mand = LW abe Nt X (kan) > = stn af ns = Si aw) wit Wo ee ” Noe ¥ = Xl D¢9 & Lineaihy SY x10) my xytey 7H Es U9 orr AAV) FA MED AX (EY FMI Ceroutan ‘ing xo, * xln-k, naabulo N) GW XU) audio 9 QUE) = xt my)= 8 mio = er Aig) = ; a \=%*b) ta Kw to Ak loUwaiie Ue f ca ve Modine Greater Abie x= A ke2 “Neh aie = tle), ie Abo pt O pe ve w coll Cireud or een {ee i ° ’ tsb HR ea» Senmene i epeindl 1 Fine <> Or = AEN) y = WON) ten & WI) = . \) se bun ee att a itn bay gh! 7 for Net: Aequance. ws called weedy SO On He Gre wy : any =~? yensh i 28 Book fq yas or mustication Biase of Oey 7 at as x\) & x DFT xo N OFT Xen) <> Xe Xo Ue) = Kyl Ral) mst me ON te = BS willy D> 24) Ae io & ort Ms 120) = Apis woes ato Wik, J * wi" si. 5 moe 2 = N Ke | heo . NA ud 2 Um =n — a alo) Tw ul 8 ~ Pa aCe tend to N uslanlen~09),,2 4° wal : o Btmn-t) Aun ae 2 N a>) a> ‘4 atl — > So no aed) whanlor- OL) Lemsidond ae =| ye) ( a nek How) m-n-be gn te m-n- pu =((m-n (om, lan = when Le (Uren) yy ™S 1 Fay 2 a8 n=O [neo 3 400) () J %aller- nd) C S Cireulen lan convolusion , geen) = mtn)(N) wd as Comvdlubion. Nope Arby) D wey — > Ue) Xe) fair ia tl @® Cireutay “Thre Shits qa Sequence =“) xn) ft, xo ~ ju kt Ahn lte)q, <A xy 6 BA @ Creator Jrequergy hit 4 xin) aes Xe we . hen xine BFF Ne Fs le Dy janln ~ ‘yank : < 2K e e@| => ev le une oe pal min) 1 bites ws wd “1 as (mk-O 22 ® = AlN) 2 en Hing (Nek) = atnye N N=0 = X(nvk- = HKD), © cons tegpyphs Repay 4 wun a, atk) Q sho on on. *( ay =r Dey ‘* ® Pew po? * (% OO RK ok N pS NA oe |x*ui} = 2," we * (6) ‘pan 5 [aime ® 2. 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