. Consider a discrete-time signal $x $ with the following spectrum, shown here between 0 and π and symmetric around 0: 1

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. Consider a discrete-time signal $x $ with the following spectrum, shown here between 0 and π and symmetric around 0: 1 X (e jw) in π/4 π/2 3π/4 π The signal is processed by the following system in which L(z) is an ideal lowpass filter with cutoff frequency π/2 and H (2) is an ideal highpass filter with cutoff frequency π/2:
x[n] L(z) H(z) 12 12 14 14 Indicate which output (1, 2, 3, or 4) has the following spectrum: π/2 L(z) ►y₁[n] H(z) -Y₂[n] L(z) -Y3[n] H(z) ►y₁[n] 口 R