# 10 4 points what is the output yc of the composite

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Unformatted text preview: 1 [·], and the second subsystem is the one we have been considering. xc[n] h1[.] h[.] yc[n] Figure 4: Composite system. 10. [4 points]: What is the output yc [·] of the composite system? It is essential that you explain your reasoning here. Page 9 of 17 6.02 Fall 2012, Quiz 2 III Frequently We stick with the LTI system introduced in the previous section, namely the system with unit sample re­ sponse h[n] = δ [n] − δ [n − 1] + δ [n − 2] . 11. [3 points]: Write down an explicit expression for the frequency response H (Ω) = ∞ 0 h[m]e−j Ωm m=−∞ of the particular LTI system speciﬁed above. H (Ω) = 12. [6 points]: Rewrite your answer from the previous part in the form H (Ω) = A(Ω)ej α(Ω) , where α(Ω) and A(Ω) are real functions of Ω. [We don’t insist that A(Ω) be nonnegative, so A(Ω) need not be the magnitude of H (Ω).] A(Ω) = , α(Ω) = Page 10 of 17 6.02 Fall 2012, Quiz 2 13. [4 points]: Evaluate A(Ω) and α(Ω) explicitly for Ω = A( π ) = 3 , , and for Ω = 2π 3 . α( π )...
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