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Homework answers / question archive / Problem Discrete-time Fourier Transform (DTFT) Compute the DTFT of the following signals (a)-(d) using Common P

Problem Discrete-time Fourier Transform (DTFT) Compute the DTFT of the following signals (a)-(d) using Common P. Table and Property Table. (a)

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Table 7.1: Common Discrete Fourier Transform Pairs

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(Is) Ilacami 'Able 7.0 Properties of Dime. Fourier Transform

Property (1) Liu; Time 9igm1 ssini + boini tbveyr1}wf sX(0)+ ev(0) IULIMMIZEICEM?EME?WEV ISEEE X(-11) X(R) ICJIMEITZ:Er2112771=1(1) ILVILMED21:120M•74) ^ w. IS===? ion uener Multipliestion by aM (IA ultipliestion by co.., ni sin (11s) nicoe (0.91) EX(0 +(1.) — X(0 — 001 ilX(0 + 04 -F X(0 — 0,1 (9) Summation pig _. X(0) -I- t sX(27m)8(0— 27m) "=-.. (10) Convohniou in the time domain Multipliutmn iu the time domain (12) Parseve•s theorem E sinjoini . p„ ,17W(II)dfl (LA)rem f .qn] .1.1.1x(0)12en

Problem 1: Discrete-time Fourier Transform (DTFT) Compute the DTFT of the following signals (a)-(d) using Common Pair Table and Property Table. (a) 1 2 3 (b) 1 i i i i i -2 -1 0 3 5 n (c) 0.5" cos (An)1+In] (d) -1 0 1 n