Subsample interpolation bias error in time of flight estimation by direct correlation in digital domain

摘要: Abstract This work presents an investigation of the bias error introduced in time flight estimation realized by subsample interpolation digital domain. The is accomplished based on evaluation peak position cross correlation function. In order to cope with discrete nature cross-correlation function, exploits three domain techniques: parabolic, cosine, Gaussian and frequency using phase angle. An empirical equation relating maximum value sampling signal parameters (center envelope bandwidth) has been derived. It found that inverse cubic relation quadratic bandwidth for cosine interpolation. center parabolic coefficients related approximation technique are given. Results can be applied errors or correction when fast used application unacceptable due processing speed limitations. equations minimum required derived balancing against Cramer–Rao lower bound.