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Analysis of Timing Errors in Time-of-Flight LiDAR Using APDs and SPADs Receivers
We analyze the ultimate timing error that can be achieved in the operation of a LiDAR based on the time-of-flight (ToF) measurement of distance using a pulsed light source and two possible detectors in the optic receiver: (i) an avalanche photodiode APD in linear mode, and (ii) a SPAD single photon detector. We analyze both the random and systematic contributions to the total error and find that the latter becomes dominant at large (>10 2 ) number of detected photons N ph . However, the systematic error can be cancelled by a separate measurement of N ph . As a conclusion, it is found that, aside from a multiplicative factor of the order of unity, all the schemes supply a timing error given by τ/√N ph , where τ is the characteristic time describing the illumination waveform. The theory we have developed provides a theoretical framework for the evaluation of the precision of time-of-flight measurement, and the results are applicable as a benchmark of the timing performance obtained by practical instruments.
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