The overall system in the dotted box in Figure can be shown to be linear and time invariant (a) Determine an expression for H(e j ), the frequency response of the overall system from the input x n to the output y n , in terms of H 1 (e j ), the frequency response of the internal LTI system Remember that ( 1) n e j n (b) Plot H(e j ) for the case when the frequency response of the internal LTI system is (1 lw aw 00 we lw ST H(el ) Causal LTI system x n v n w n yln h(n) ( 1) ( 1)

Question: The overall system in the dotted box in Figure can be shown to be linear and time invariant. (a) Determine an expression for H(e j?

The overall system in the dotted box in Figure can be shown to be linear and time invariant.

(a) Determine an expression for H(e^j?), the frequency response of the overall system from the input x[n] to the output y[n], in terms of H₁(e ^j?), the frequency?response of the internal LTI system. Remember that (? 1)ⁿ = e^j?n.

(b) Plot H(e^j?) for the case when the frequency response of the internal LTI system is?

(1. lw| < aw. . 00 we < lw|ST. H(el") = Causal

(1. lw| < aw. . 00 we < lw|ST. H(el") = Causal LTI system x[n] v/n] w[n] yln] h(n) (-1)- (-1)"

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