In the design of a synchronizer the values of Tw and τ depend on the circuit configuration. Both affect the resolution time, but τ is more important for synchronization because the synchronization time needed is proportional to the resolution time constant τ. The effect of increasing Tw by a factor A is simply to add to the synchronization time an amount equal to τ ln(A).
Tw is mainly determined by the input characteristics of a latch circuit and τ is the time constant of the feedback loop. To some degree these two can be traded, a low-power input drive can reduce the loading on the feedback inverters thus reducing τ, but usually at the expense of Tw. Increasing power can often reduce both Tw and τ because the parasitic capacitances become a lower proportion of all capacitance, but only up to a point where parasitic capacitances become negligible and the value of C/G reaches a minimum.
3.1 LATCHES AND METASTABILITY FILTERS
Figure 3.1 shows a simple latch made up of four NAND gates and an inverter. When the clock goes low, both R1 and R2 go high and the latch becomes opaque. Without the two inverters on the outputs a metastable level of Vdd/2 could cause any following digital circuits to malfunction when the circuit becomes metastable. The inverters on the outputs of Figure 3.1 prevent the half-level appearing at the output because they have a lower than normal threshold level. If the latch is in a metastable state, both inverter outputs are low because the output level ...