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Is there enough processing horsepower in the ARM1176 processor ....

.... to take a 200 kHz digital pulse train input and turn it in to a 41.7 kHz output pulse train? I want to use an ISR to detect the rising edge of a pulse train, determine if it is time to output a pulse reset the counter. I tried using an Arduino Nano but the maximum output that I could generate was around 8 kHz - without even doing any input signal detection and computation, just straight output.