Homework SourseAssume 2 flipflops with an aperture time and regeneration ti
Assume 2 flip-flops with an aperture time and regeneration time constant of 120ps and 150ps driven by a 300 MHz clock, what is the probability of synchronization failure?
Solution
Synch Failure = Probability that FF1 is still in a metastable state when FF2 is clocked
PF = PE * PS
ta = aperture time
t r = regeneration time
tcy = cycle time
PE = ta * fcy = 120 * 10-12 * 300 * 106 = 36 * 10-3
Ps = exp (-tcy/ tr) = exp(-1/300*106 *150 * 10-12) = 2.23 * 10-10
PF = PE * PS = 8.0 * 10-12
