Unformatted text preview: e jπn x 2 [ n ]? (c) What is ∑ 3 n =0  x 1 [ n ]  2 ? (d) What is x 1 [0]? (e) What is x 2 [1]? 4. A discretetime signal x [ n ] is nonzero only for 0 ≤ n < N , and has the DTFT X d ( ω ) =  ω  2 + 3 jω forπ ≤ ω < π . Determine the values of the length400 DFT X [ k ] for the following k : (a) X [0] =? (b) X [50] =? (c) X [100] =? (d) X [193] =? (e) X [200] =? (f) X [300] =? (g) X [400] =? (h) X [500] =? 5. Let X [ k ] denote the DFT of the lengthN discretetime signal x [ n ], 0 ≤ n < N . Prove that X [0] = 0 if x [ n ] =x [ N1n ]....
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This note was uploaded on 01/22/2011 for the course ECE 410 taught by Professor Staff during the Spring '08 term at University of Illinois, Urbana Champaign.
 Spring '08
 Staff

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