Adiscrete-time LTI system with input x[n] and output y[n] has the frequency response mag...

Adiscrete-time LTI system with input x[n] and output y[n] has the frequency response magnitude and group delay functions shown in Figure P5.34-1. The signal x[n], also shown in Figure P5.34-1, is the sum of three narrowband pulses. In particular, Figure P5.34-1 contains the following plots:

• x[n]

• |X(e^jω)|, the Fourier transform magnitude of a particular input x[n]

• Frequency response magnitude plot for the system

• Group delay plot for the system

In Figure P5.34-2 you are given four possible output signals, y_i [n] i = 1, 2, . . . , 4. Determine which one of the possible output signals is the output of the system when the input is x[n]. Provide a justification for your choice.