DSPY2003Mid_Ans

DSPY2003Mid_Ans - Digital Signal Processing Solutions to Midterm Exam 2003 Edited by Yu-Kuang Tu Confirmed by Prof Jar-Ferr Yang LAB 92923 R TEL

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Digital Signal Processing Digital Signal Processing Solutions to Midterm Exam 2003 Solutions to Midterm 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 2004/11/22 Media Processing LAB 1
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1. a) unstable, causal, memory b) stable, causal, memory c) stable, causal, memory d) stable, non-causal, memory e) unstable, non-causal, memory f) stable, non-causal, memory 2. a) stable, causal, memory b) stable, causal, memory c) unstable, non-causal, memory d) unstable, non-causal, memory e) stable, causal, memory f) unstable, non-causal, memory 2004/11/22 Media Processing LAB 2
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3. (1) ]. 4 [ 3 ] 2 [ 3 ] [ 3 ] 2 [ 3 ] 2 [ 3 2 1 0 1 2 1 k k k k k n n n + + + = = δ . 4 ] 2 [ 2 3 1 = = n n n . 4 ] 2 [ 2 100 1 = = k k k ]. 2 [ 20 ] 2 [ 2 5 ] 2 [ 2 2 3 1 = = = n n n k n 2004/11/22 Media Processing LAB 3 3. (2) k 9 3 1 012345 6 1/3 -1 -2 n 012 3 4 -1 Fig. 3.(2) Fig. 3.(4) 20 3. (3) 3. (4) . 1 ] 2 [ ) 2 / cos( 3 1 = = k k k π 3. (5)
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4. ] [ ) 2 2 ( ] 1 [ ) 3 3 ( ] 2 [ ) 6 9 ( ] [ n j n j n j n x δ + + + = ). 2 2 ( ) 3 3 ( ) 6 9 ( ) ( 2 j e j e j e X j j j + + + = ω 4. (a) . 1 part imaginary , 4 part real 4 ) ( 0 = = + = = j e X j 4. (b) j j j j j e j j e j e X e e Y + + + + = = ) 2 2 ( ) 3 3 ( ) 6 9 ( ) ( ) ( * ]. 1 [ ) 2 2 ( ] [ ) 3 3 ( ] 1 [ ) 6 9 ( ] [ + + + + + = n j n j n j n y ) ( ] 1 [ ) ( ] [ * * * * j j F j F e X e n x e X n x ⎯→ + 2004/11/22 Media Processing LAB 4
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4. (c) { } ( ) ( ) ) 2 2 ( ) 3 3 ( ) 6 9 ( ) 2 2 ( ) 3 3 ( ) 6 9 ( ) ( ) ( ) ( Im ) ( 2 2 2 1 * 2 1 j e j e j j e j e j e X e X e X e W j j j j j j j j j j + + + + + = = =
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This note was uploaded on 04/08/2010 for the course EE INFO taught by Professor Zhang during the Spring '10 term at Fudan University.

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DSPY2003Mid_Ans - Digital Signal Processing Solutions to Midterm Exam 2003 Edited by Yu-Kuang Tu Confirmed by Prof Jar-Ferr Yang LAB 92923 R TEL

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