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DSPY2003Final_Ans

# DSPY2003Final_Ans - Digital Signal Processing Solutions to...

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Digital Signal Processing Solutions to Final Exam 2003 Edited by Yu-Kuang Tu Confirmed by Prof. Jar-Ferr Yang LAB: 92923 R, TEL: ext. 621 E-mail: [email protected] Page of MPL: http://mediawww.ee.ncku.edu.tw

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(a) H 2 , H 6 (b) (H 4 ) (c) H 1 , H 8 (d) H 3 , (H 4 , H 5 , H 6 ), H 8 1-2. Linear phase filter: zeros reciprocally appear Minimum phase filter: poles and zeros are all inside the unit circle All-pass filter: poles and zeros reciprocally appear Stable filter: all of poles are inside the unit circle
2-1. (b) (c) (d) (a) ]] 1 [ ] 6 [ ] 7 [ ] 0 [ [ 8 ] )) [(( 8 ])) [ ( DFT ( DFT 8 8 8 x x x x k x n x L () = = = = 1 0 / 2 1 0 / 2 ] [ 1 ] [ ] [ ] [ N k kn N j N n kn N j e k X N n x e n x k X π x 8 [ n ] = [3 4 –2 7 –4 1 –5 2] . 0 ] 8 [ 16 ] [ ) 1 ( 16 15 0 16 = = = x k X k k ] )) [(( ] [ N DFT k Nx n X → . 22 ] [ ) 1 ( ] [ ] 8 [ 15 0 15 0 8 16 16 = = = = = n n n n n x W n x X 6 ] 8 [ 8 = X

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2-2. (a) ], [ ] [ 3 8 k X W k Y k = ] [ ] )) [(( k X W m n x km N DFT N → ]. )) 3 [(( ] [ 8 = n x n y (b) { } , ] [ Re ] [ k X k W = { } . ] )) [(( * ] [ ] [ 8 2 1 n x n x n w + = 0 12 3 4 56 7 4 1 0.5 5.5 3 5.5 0.5 1 n 0 3 456 7 5 4 2 1 3 6 w [ n ] y [ n ]
2-2.

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DSPY2003Final_Ans - Digital Signal Processing Solutions to...

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