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DP83640: does the DP 83640 PHY synchronize two devices in ns between two poins

Part Number: DP83640


     I want get a time synchronous system in several hundreds  picosecond .   does DP83640   satisify me ?

    i need two  clocks .    one is the common clock。 i want  both the master and slave use the same 38.4Mhz clock.

   the other one is PPS clock.  i  use it to synchronize the slave device.     time is very critical in my system .   the time discrepancy  between the master and slave should in 500 picosecond . 

   if it can cover a demand.   give me you suggested design.

 if 83640 can't satisfy me . is there any other system can fulfill my demand.