Question

D else (4.28) or the ITFT to compute the frequency functions X 14.6 b c properties of incesse DTFT e) Shown in the of the Figure X(92) - $7 - 0 5 (b) X(S2) +

Answer 1

Answer! Given that, with the help of the figure given the question of the properties of the DTFT to compute the inverse DTFT of the frequency function M(12) * As per given min) to get alt) we can utilise inverse 'DIFT given as a(w) "S ala) einen 220 Xe X 1/3 +312) e 1-2, in 12 (3 n 2n -11 e do P.TO

in ਅਜ ਆ ) ਅ e1-21 in + 7 + : . Jn + 3. ", ਆ। | ਅ (8:( ਤ , , , -੩ ( ", ". ਜCA jhi eh - 32( e in in jn

So (4) Format din nila ) te geven en hoe Ain (ntul 3) - 2017 dich vu + Ztra los (nT/3)+ 31. So after calculating we get, Sin (n ) = Sal "/3) =) sin c("/3) I the inverse DTFT = Aine (1/3)

x(v) = nect(hus + mert min) Duality property of DTFT un) xlov |x (n) = 2TH = (-) J similarly Anect () Ansince Ansine (mm) Es 2n Anection) By companing with above duality property vert le 147] (n) sine (en nect (12) + (n)(?) sinc() xin) = nect ( ) + mecuma) min) = inn sine (nan) + ton sinc (non) nina į sincla ) + ty sinc (A) nin= t sinn t sin not sincn= sint nu nini= sinn sinn
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