Question

Consider the following 256-point DFT X[k]=648[k – 21] +168[k – 55] +328[k -95]+328[k – 161] +160[k – 201]+648[k – 235] for 0 <k 255. Determine the 256-point inverse DFT (IDFT) x[n] of X[k]. (Note: x[n] can be expressed as a real-valued signal/sequence.)

Answer 1

XIK) = 64 S(K-21) + 10 $ (k~58) + 32 $( K-95) +323(K-161) +168(K-201)+64 5(k-235) N- nina L N. Xik) expl en het nie) kao he know that. N=256 25 nin) us XIK) exp I love ) 256 Kao we know one Property s(n-no) f(n) sin-no) fino) same as 11 nina 215 nx 21 327 lj2lTx nxg5 256 + 32 exp + 64 1927 (2350 We know, exp 256 P / ģ27ın 235 da [~ explicat 21) + 16 expl xnx sv) + 32 expl123 explain net41)+ 16 660 ( *** 2017 explore the (256-21) 21) = exp[ 2 exp[ dana). exelteman 2) expl exp potone * 201) = expl" exp 2 x 161) = expljanin explan_janna a56 252 -291n 2) 256 Same - as L jatn 256 *X55) expl 9 201ņ x 95 256

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