Reply to mpgmike
In private correspondence with Mr. Henrik the conclusion is that solution with NCO, and PIC working on 64MHz clock would not be the solution.
Referring to your idea to measure time frame of the input to PIC which has to be multiplied by 11 – if we consider the 1MHz input (1 usec time frame) and 64MHz PIC oscillator clock.Then we have do divide 1 usec /11 and generate output on the base of 64MHz clock.Could you predict what the accuracy should be for 11 MHz output.
Pic which works on 64MHz and have 2 CCP is PIC18(L)F24/25K40
Input is square wave with not exactly 50% duty cycle.

Reply to tumbleweeed
Yes, PIS has to generate thesquare wave output from 11 Hz to 11 MHz on an output pin.
Thanks