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. 1982;45(1):1-4.
doi: 10.1007/BF00387207.

Frequency limitations of the two-point central difference differentiation algorithm

A T Bahill, J S Kallman, J E Lieberman

Frequency limitations of the two-point central difference differentiation algorithm

A T Bahill et al. Biol Cybern. 1982.

Abstract

A two-point central difference algorithm is often used to calculate the derivative of a function. This estimate is only valid over a limited frequency range. Therefore, the algorithm can be modeled as an ideal differentiator in series with a low-pass filter. The filter cutoff frequency is a function of the time between the points. We discuss the accuracy and limitations of using this algorithm on human saccadic eye movement data. To calculate the velocity of saccadic eye movements the algorithm should have a cutoff frequency of 74 Hz or above.

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References

    1. Invest Ophthalmol Vis Sci. 1981 Jul;21(1 Pt 1):116-25 - PubMed
    1. IEEE Trans Biomed Eng. 1981 Jul;28(7):524-9 - PubMed

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