3h_seira_apo_netsmall - Ε.Μ.Π Σχολή Η.Μ&Μ.Υ...

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Ε . Μ . Π Σχολή Η . Μ & Μ . Υ Σή μ ατα και Συστή μ ατα Ακαδ . έτος : 2004-2005 Η μ ερο μ ηνία 27-05-2005 3 ο Σύνολο Ασκήσεων Παραδοτέο : 15-06-2005 Άσκηση 3.1: Να προσδιοριστεί ο μ ετασχη μ ατισ μ ός -Z, ( ) i X z , των επο μ ένων ση μ άτων διακριτού χρόνου : α ) 1 ( ) {1,0,0,0,1} x n = β ) 2 ( ) {0,0,0,1} x n = γ ) 3 ( ) {2,3,0,0,1} x n = δ ) 4 ( ) {0,1,1 2,1 3,1 4, ,1 , } x n n = ε ) 5 ( ) ( !) ( ) n x n a n u n = στ ) 6 5 0, 0 ( ) 1, 0 5 2 , 5 n n x n n n < = > ζ ) 7 2, 2 1 ( ) 0, 2 0, 5 n m x n n m n = + = = < η ) 8 ( ) {2,2,2, 1, 1, 1,2,2,2, 1, 1, 1, } x n = …… Άσκηση 3.2: Να προσδιοριστεί ο μ ετασχη μ ατισ μ ός -Z, των εξής ση μ άτων διακριτού χρόνου : α ) 1 ( ) [(1 6) ( 2) ] ( ) n n x n u n = + − β ) 2 ( ) 2 ( 1) n x n u n = γ ) 1 3 ( ) 2 ( 1) n x n u n = δ ) 4 ( ) 2 cos( 4) ( ) n x n n n u n π = ε ) 2 5 ( ) 2 ( ) n x n n u n = στ ) 1 6 ( ) 2 ( ) n x n n u n = ζ ) 7 ( ) exp{ 4} ( ) x n j n u n π = η ) 8 ( ) 2 cos[( 4) ( 4)] ( ) n x n n u n π π = + Άσκηση 3.3 : Να προσδιοριστούν τα σή μ ατα , x i (n), που αντιστοιχούν στους εξής μ ετασχη μ ατισ μ ούς - Ζ : α ) 2 1 ) ( 1 = z z z X β ) 1 1 ) ( 2 2 + + = z z z z X γ ) ) 1 ( 2 ) ( 2 2 3 + + = z z z z
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