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U. Glaeser

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Frequency (GHz)<br />

FIGURE 10.23 Frequency sensitivity to supply voltage for a ring oscillator with differential delay elements and a<br />

replica-feedback current source bias circuit in a 0.5 µm N-well CMOS process.<br />

the clock period. Thus, the requirement for a 50% duty cycle can be satisfied without operating the PLL<br />

at twice the chip operating frequency, if a single-ended CMOS output with 50% duty cycle can be obtained<br />

from a differential output signal. This conversion can be accomplished using an amplifier circuit that<br />

has a wide bandwidth and is balanced around the common-mode level expected at the inputs so that<br />

the opposing differential input transitions have roughly equal delay to the output. Such circuits will<br />

generate a near 50% duty cycle output without dividing by two provided that device matching is not a<br />

problem; however, on-wafer device mismatches for nominally identical devices will tend to unbalance<br />

the circuit and establish a minimum signal input and internal bias voltage level below which significant<br />

duty-cycle conversion errors may result. In addition, as the device channel lengths are reduced, device<br />

mismatches will increase. Therefore, using a balanced differential-to-single-ended converter circuit instead<br />

of a divider can relax the design constraints on the VCO for high-frequency designs but must be used with<br />

caution because of potential device mismatches.<br />

Phase Detectors<br />

The phase detector detects the phase difference between the reference input and the feedback signal of a<br />

DLL or PLL. Several types of phase detectors can be used, each of which will allow the loop achieve a different<br />

phase relationship once in lock. An XOR or mixer can be used as a phase detector to achieve a quadrature<br />

lock on input signals with a 50% duty cycle. The UP and DN outputs are complementary, and, once in<br />

lock, each will generate a 50% duty cycle signal at twice the reference frequency. The 50% duty cycle will<br />

cause the UP and DN currents to cancel out leaving the control voltage unchanged. An edge-triggered SR<br />

latch can be used as the phase detector for an inverted lock. The UP and DN outputs are also complementary,<br />

and, once in lock, each will generate a 50% duty cycle signal at the reference frequency. If differential inputs<br />

are available, an inverted lock can be easily interchanged with an in-phase lock. A sampling flip-flop can<br />

be used to sample the reference clock as the phase detector in a digital feedback loop, where the flip-flop<br />

is used to match the input delay for digital inputs also sampled by identical flip-flops. The output state of<br />

the flip-flop will indicate if the feedback clock is early or late. Finally, a phase-frequency detector (PFD)<br />

can be used as a phase detector to achieve an in-phase lock. PFDs are commonly based on two SR latches<br />

or two D flip-flops. They have the property that only UP pulses are generated if the frequency is too low,<br />

only DN pulses are generated if the frequency is too high, and to first order, no UP or DN pulses are<br />

generated once in lock. Because of this property, PLLs using PFDs will slew their control voltage with, on<br />

© 2002 by CRC Press LLC<br />

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