02_Discrete_Time_Signals_Systems_Release

Suppose 1 1 1 1 1 1 1 n n n a a x z x z x z b z b z

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19. Suppose 1 1 1 1 1 ( ) ( ) ( ) 1 1 N N N a a X z X z X z b z b z - - = + + = + + - - where 1 , , 0 N a a ¹ and 1 0 N b b ¹ ¹ ¹ Prove that ( ) X z cannot exhibit any pole-zero cancellations.
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