Metastability And Synchronisation

Flip-flop MTBF

$$ {\rm MTBF}(t_r) = \frac{e^{ \frac{t_r}{\tau} } } {T_O fa}$$

where:
\( t_r \) = resolution time (time since clock edge), \( s \)
\( f \) = sampling clock frequency, \(Hz\)
\( a \) = asynchronous event frequency, \(Hz\)
\( \tau \) = flip-flop time constant (this is a funciton of it’s transconductance), \( s \)
\( T_o \) =

Typical values for a flip-flop inside an ASIC could be: \(t_r = 2.3ns\), \(\tau = 0.31ns\), \(T_O = 9.6as\), \(f = 100MHz\), and \(a = 1MHz\), which gives \(\rm MTBF = 20.1days\).

Posted: February 19th, 2014 at 10:31 am
Last Updated on: February 19th, 2014 at 1:22 pm