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Journal ArticleDOI

Frequency Limitations and Optimal Step Size for the Two-Point Central Difference Derivative Algorithm with Applications to Human Eye Movement Data

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TLDR
This work discusses the low-pass filter characteristics of the two-point central difference algorithm and derives the optimal step size for two types of human eye movement data.
Abstract
There are many algorithms for calculating derivatives. The two-point central difference algorithm is the simplest. Besides simplicity, the two most important characteristics of this algorithm are accuracy and frequency response. The frequency content of the data prescribes a lower limit on the sampling rate. The smoothness and accuracy of the data determine the optimal step size. We discuss the low-pass filter characteristics of this algorithm and derive the optimal step size for two types of human eye movement data. To calculate the velocity of fast (saccadic) eye movements, the algorithm should have a cutoff frequency of 74 Hz. For typical slow (smooth pursuit) eye movements, a step size of 25 or 50 ms is optimal.

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Citations
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Journal ArticleDOI

Saccades to Remembered Target Locations : an Analysis of Systematic and Variable Errors

TL;DR: It is indicated that a memory-related process is not the major source of the systematic errors observed on memory trials, and neither peak velocity nor variability in peak velocity was related to the duration of the delay interval.
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Functional anatomy of nonvisual feedback loops during reaching: a positron emission tomography study.

TL;DR: PET difference images showed that corrections made in the reaching condition involving large corrections were mediated by a restricted network involving the left posterior parietal cortex, the right anterior intermediate cerebellum, and the left primary motor cortex, consistent with knowledge of the functional properties of these areas.
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Smooth pursuit eye movements in response to predictable target motions

TL;DR: This study shows that humans can learn to perform zero-latency tracking of targets that move with continuous velocity and amplitude-limited acceleration.
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Latency of visually evoked saccadic eye movements. I: Saccadic latency and the facilitation model

TL;DR: The paper deals with the initiation of visually guided saccades, in order to break down the saccadic reaction time into functionally different periods of time, and explains how visual information may be affected by other sensory information before it is used to command further saccade.
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Antisaccades and task-switching: interactions in controlled processing

TL;DR: The latency data suggest that either an antisaccade on the prior trial perturbs saccadic responses more than a task-switch, or concurrent taskswitching specifically facilitates antisaccades, which challenges current models of task-switching.
References
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Book

Theory and application of digital signal processing

TL;DR: Feyman and Wing as discussed by the authors introduced the simplicity of the invariant imbedding method to tackle various problems of interest to engineers, physicists, applied mathematicians, and numerical analysts.
Journal ArticleDOI

The mechanics of human saccadic eye movement.

TL;DR: The evidence presented here will demonstrate that the system of eyeball and orbital tissues is heavily overdamped, has no resonant frequency and is little affected by the mass of the eyeball.
Journal Article

Variability and development of a normative data base for saccadic eye movements.

TL;DR: The duration, peak velocity, and acceleration of the saccadic eye movements of 13 normal subjects are plotted as functions of saccades magnitude.
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Dynamic Overshoot in Saccadic Eye Movements Is Caused by Neurological Control Signal Reversals

TL;DR: Three quite different types of overshoot occur in saccadic eye movements; each has unique characteristics determined by distinct neuronal control patterns.
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