Use the digital equivalent of the old rope and pulley system.
Say I have a string 1000 feet long with a knot tied in it every 100 feet and I need to measure something reasonably accurately thats 10 feet long with it. My measuring resolution is only 100 feet so knot to knot obviously wont work. However if I use two gangs of pulleys that wrap the string around them 100 times back and forth They will move exactly one foot closer for every 100 feet of string pulled off of them. Or one foot further for every 100 feet of string added to them. Now my 100 foot marks indirectly measure 1 foot increments accurately.
See the method yet? Send out a timing reference mark (knot). Send it to the receiver then send it back to the transmitter then send it back to the receiver again and do this 100 times. When the small variation in distance has been multiplied over and exact count of 100 loops and then re referenced to the master clock as to how far off it is when its been through so many loops and you have a calculable measurement of a small distance with a long measuring device.
Granted you will need to calibrate it probably and have to average the slight variations in how the signal is received and then retransmitted at each end but if done enough times, perhaps thousands or more, and averaged out properly you can in fact get very small measurements with out using very small measuring devices.
Just a theory.
Say I have a string 1000 feet long with a knot tied in it every 100 feet and I need to measure something reasonably accurately thats 10 feet long with it. My measuring resolution is only 100 feet so knot to knot obviously wont work. However if I use two gangs of pulleys that wrap the string around them 100 times back and forth They will move exactly one foot closer for every 100 feet of string pulled off of them. Or one foot further for every 100 feet of string added to them. Now my 100 foot marks indirectly measure 1 foot increments accurately.
See the method yet? Send out a timing reference mark (knot). Send it to the receiver then send it back to the transmitter then send it back to the receiver again and do this 100 times. When the small variation in distance has been multiplied over and exact count of 100 loops and then re referenced to the master clock as to how far off it is when its been through so many loops and you have a calculable measurement of a small distance with a long measuring device.
Granted you will need to calibrate it probably and have to average the slight variations in how the signal is received and then retransmitted at each end but if done enough times, perhaps thousands or more, and averaged out properly you can in fact get very small measurements with out using very small measuring devices.
Just a theory.
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