I'm in a spaceship travelling at 0.866c away from Earth. AIUI, that's a time dilation of 2, and my speedometer, which of course uses my on-board clock and a set of mile markers laid down by a previous expedition, indicates 2c.
Earth is beaming a laser in my direction and pulsing it once per Earth second. Clearly these pulses are going faster than me, and I have a handy pulse detector.
What frequency of pulse repetition will I measure with my on-board instrumentation?
And, Captain Slog-supplemental, what if the laser is instead at my destination planet?