Power meter cadence comparison (analysis of DCRainmaker data)
The cleverest way I've seen to check cadence data is due to Robert Chung. He uses cadence and speed in conjunction with an assumed wheel rolling circumference to calculate the for a bike for each data point. If cadence and speed were measured perfectly, I'd be able to see exactly what gear the rider was in at every point where he was pedaling (no coasting). On the other hand, if the cadence or speed are measured sloppily, then the gear calculation would also be sloppy. The key insight is that gears are discrete: there's a countable number of choices. So if I can extract the gear, I should see only a discrete set of results: plotting gear over time should show steps, with transitions between the steps corresponding to shifting, with deviations from the steps only when the rider is coasting with the cranks stationary, or, hopefully not often, spinning the cranks while coasting. The issue with this approach is it depends on both speed and cadence being of equal quality. ...