Analysis of the interpolation techniques for time-of-flight estimation

The interpolation techniques for the time-of-flight estimation have been under study. The ToF estimation was done using the direct correlation technique of the sampled signal. More accurate estimation was done using interpolation between the samples. Three interpolation techniques for discrete direct correlation are discussed: linear interpolation of zero crossing, imaginary part of direct correlation zero crossing and peak estimation using parabolic interpolation. The theoretical equations for interpolation-influenced random errors estimation have been suggested and compared with the numerical simulation. Numerical simulation allowed to analyse the influence of additional signal re-sampling on interpolation errors.

[1]  John Minkoff,et al.  Signal Processing Fundamentals and Applications for Communications and Sensing Systems , 2002 .

[2]  Francisco André Corrêa Alegria,et al.  Cross-Correlation and Sine-Fitting Techniques for High Resolution Ultrasonic Ranging , 2010, 2006 IEEE Instrumentation and Measurement Technology Conference Proceedings.

[3]  W. M. Miller,et al.  Investigation of Laser and Ultrasonic Ranging Sensors for Measurements of Citrus Canopy Volume , 2002 .

[4]  S. R. Dooley,et al.  Comparison of discrete subsample time delay estimation methods applied to narrowband signals , 1998 .

[5]  Raúl San José Estépar,et al.  Towards scarless surgery: An endoscopic ultrasound navigation system for transgastric access procedures , 2007, Computer aided surgery : official journal of the International Society for Computer Aided Surgery.

[6]  P. Girão,et al.  Cross-Correlation and Sine-Fitting Techniques for High-Resolution Ultrasonic Ranging , 2006, IEEE Transactions on Instrumentation and Measurement.

[7]  V. Dumbrava,et al.  The time-of-flight estimation accuracy versus digitization parameters , 2008 .

[8]  G.E. Mog,et al.  Zero crossing determination by linear interpolation of sampled sinusoidal signals , 2004, 2004 IEEE/PES Transmision and Distribution Conference and Exposition: Latin America (IEEE Cat. No. 04EX956).

[9]  E. Blok.  Classification and evaluation of discrete subsample time delay estimation algorithms , 2002, 14th International Conference on Microwaves, Radar and Wireless Communications. MIKON - 2002. Conference Proceedings (IEEE Cat.No.02EX562).