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According to transfer characteristics of XLL the phase error between VCO output and incoming signal must be maintained between............ in order to maintain a lock.

  • A.0 and π
  • B.0 and π/2
  • C.0 and 2π
  • D.π and 2π

Answer: A

The phase error must stay between 0 and π.

In a phase locked loop, the phase detector converts the phase difference between the VCO output and the incoming signal into a control voltage. For the common XOR-type detector, the average output rises linearly as the phase error goes from 0 to \(\pi\) and then falls again from \(\pi\) to \(2\pi\). The loop can correct the VCO only while the error stays on the rising part, 0 to \(\pi\), with the locked operating point normally near \(\pi/2\).

Outside that range the slope reverses, so the feedback has the wrong sign and lock is lost. The ranges 0 to \(\pi/2\), 0 to \(2\pi\) and \(\pi\) to \(2\pi\) are not the monotonic range of that characteristic.

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