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Counter that triggers off the rising and falling clock edges?

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I've got an interesting problem of a device that flips its state between high/low everytime an event happens (so two events make one complete cycle).  I'd like to clock an E series synchronously with it, but looking at the documentation I can't see anyway to tell a PFI input or counter to generate a new clock cycle on both the rising and falling edge.  Instead, it just generates a new cycle at half the actual event rate.  

 

I realize I could generate a new clock at approximately the same frequency using the internal timebase, but unfortunately any jitter between the two clocks must be very, very small (<5 ns) for my application to work and the internal time base doesn't have great resolution.  

 

Is there some obvious solution I'm missing ?


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