Figure - PMC

Skip to main content

An official website of the United States government

Here's how you know

Here's how you know

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

View full-text article in PMC

. 2014 Sep 12;4:6318. doi: 10.1038/srep06318

Search in PMC
Search in PubMed
View in NLM Catalog
Add to search

Copyright © 2014, Macmillan Publishers Limited. All rights reserved

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International License. The images or other third party material in this article are included in the article's Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder in order to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-nd/4.0/

PMC Copyright notice

(a), Three hypothetical flight trajectories and direction of motion projected on a plane (actual calculation is performed with three-dimensional velocities). Mosquito k is included to show the risk of using T = 0; i.e., v_i(t+2) and v_k(t) are well aligned, which leads to a high correlation value , although there is no motion coordination between i and k. (b), Calculation of cross correlation (2) between i and j with T = 2, using three data points from each trajectory. Cross correlation between v_i and v_j at time t is shown for lags m = −1, 0, and +1. (c), Determining the optimal lag m* and cross correlation C_ij(t) by choosing the peak from . A positive lag indicates that i is following j.

Inline graphic — (a), Three hypothetical flight trajectories and direction of motion projected on a plane (actual calculation is performed with three-dimensional velocities). Mosquito k is included to show the risk of using T = 0; i.e., v_i(t+2) and v_k(t) are well aligned, which leads to a high correlation value , although there is no motion coordination between i and k. (b), Calculation of cross correlation (2) between i and j with T = 2, using three data points from each trajectory. Cross correlation between v_i and v_j at time t is shown for lags m = −1, 0, and +1. (c), Determining the optimal lag m* and cross correlation C_ij(t) by choosing the peak from . A positive lag indicates that i is following j.