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TLC2932A: Locking phase to a narrow pulse

Part Number: TLC2932A

Tool/software:

All,
I am looking to lock this PLL at 36MHz, divide it by 12 (3MHz) and generate a 56ns pulse.
An incoming stream will be operating at the same rate (3MHz) with a roughly 56ns pulse width

I'm wondering about the phase detector in the TLC2932A and whether it will work with this narrow pulse.  Also, whether pulse width distortion, say 52 to 60 ns, would prove an issue.

Any thoughts are appreciated.

     - Mike