List,

Another hardware possibility.  
 
Double the 10 MHz to 20 MHz.
 
With another circuit of 74HC390’s divide 10 MHz to
200 KHz.  Then double it twice to 800 KHz
with LM 1496 DBM’s.  Apply the two
frequencies to a LM 1496 DBM and use a LPF to get the 19.2 MHz. 
 
Hardware complicated?  A bit.  However one doesn’t have to search for a 
microprocessor that you program
and may not be available in a couple of years.  The IC’s are cheap and have 
been and will be around forever.
 
IMHO sometimes an older *brute force* circuit
proves that more can be less in implementing what you desire to accomplish.
 
Regards,
 
Perrier


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