Unformatted text preview: text. 4. (15) Using the DFT and the IDFT, find the four point circular convolution of and the input [ ] {1,2,3,1} h n = { } {4,3,2,2} x n = . 5. (15) Do Problem 5.62 (b) in the text. 6. (15) Let [ ] x n be an Npoint real sequence with Npoint DFT [ ] X k , N even. If [ ] x n satisfies the property [ ] [ 2 N ], x n x + = − n for 0,1,. ..., 1 2 N n = − , show that for even. [ ] 0, X k = k 7. (5) (a) Show that . / 2 k N k N N W W + = − (5) (b) Show that 2 2 k k N N W W =...
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 Fall '08
 York
 Digital Signal Processing, sampling rate, 2 m, Circular convolution, point DFT

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