The LTI system is referred to as a 90^{0 ?}phase shifter and is used to generate what is referred to as an analytic signal w[n] as shown in Figure. Specifically, the analytic signal w[n] is a complex-valued signal for which, if X(e^j?) is as shown in Figure, determine and sketch W(e^j?), the Fourier transform of the analytic signal w[n] = x[n] + j y[n].

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S-j. 0