You are correct in a lot of this.
1) there are 144 bins, but only 128 of them are very useful. The "Normalized" part of "Compressed, Normalized Histograms" means we dealt with the ones that are before the light turns on.
2) each bin is 3.75cm. But the Flash of light is 2ns. And that's way more than a bin or two. It's a lot closer to 11 or 12. And the laser still emits after the power is shut off. Although at a decreasing amount. This can lead to a 'tail'.
During the Normalization process we cleaned up the signal somewhat, so you didn't have to deal with it.
We remove the crosstalk for instance. So what you get is all signal.
You can try this yourself. Slap a coverglass on the sensor without doing any crosstalk, and range into open air.
All the bin data you see will be the crosstalk. (note that the bins in the middle of the first column are the worst.)
Then calibrate it and run again. Compare the data.
Then try the same experiment with some sunlight. You should get about the same numbers. We removed the sunlight for you.
- john