Position error of a laser-illuminated object

 

Žarko Barbarić

 

Position error of a laser-illuminated object (target) is analyzed. The relations for the error signal and the probability density function for positioning error signal are given. The probability of positioning and the position error are derived. The position error of a laser-illuminated object depends on the signal-to-noise ratio and the mean value of the error signal. The position error is inversely proportional to the square root of the signal-to-noise ratio. Also, the position error increases if the mean value of the error signal increases. The minimum position error is obtained for the mean value of the error signal equal to zero, and goes to the maximum when the mean value equals one. The minimum position error is the square root two times smaller than the maximum value, for a constant signal-to-noise ratio. 

  

Key words: quadrant photodiode, probability density function, probability of positioning, estimating of position accuracy.

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