Question: 1. Determine all possible causal stable transfer functionsH( z) with a square-magnitude function given by IH( ejw ) 2 9(1.0625 + 0.5 cosw) (1.49 -

1. Determine all possible causal stable transfer functionsH( z) with a square-magnitude function given by IH( ejw ) 2 9(1.0625 + 0.5 cosw) (1.49 - 1.4 cos w) (1.36 + 1.2 cos w) (1.64 + 1.6 cosw) (Hint: Note that |H (ejw) |2 = H(2)H(2-1) zzeju. You may find it helpful to first determine H( 2) H( 2 1), and then identify the causal and stable factorH (z).)

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