The LTI system is referred to as a 90o phase shifter and is used to generate wh...

The LTI system

is referred to as a 90^o phase shifter and is used to generate what is referred to as an analytic signal w[n] as shown in Figure P2.65-1. Specifically, the analytic signal w[n] is a complex-valued signal for which

If Re{X (e^jω)} is as shown in Figure P2.65-2 and Im{X (e^jω)} = 0, determine and sketch W(e^jω), the Fourier transform of the analytic signal w[n] = x[n] + jy[n].