Spectral Analysis of Traffic Functions in Urban Areas
Abstract
The paper is focused on the Fourier transform application in urban traffic analysis and the use of said transform in traffic decomposition. The traffic function is defined as traffic flow generated by different categories of traffic participants. A Fourier analysis was elaborated in terms of identifying the main traffic function components, called traffic sub-functions. This paper presents the results of the method being applied in a real case situation, that is, an intersection in the city of Bucharest where the effect of a bus line was analysed. The analysis was done using different time scales, while three different traffic functions were defined to demonstrate the theoretical effect of the proposed method of analysis. An extension of the method is proposed to be applied in urban areas, especially in the areas covered by predictive traffic control.
References
Hu Y, Hellendoorn J. Uncertainty modeling for urban traffic model predictive control based on urban patterns. 16th International IEEE Conference on Intelligent Transportation Systems – (ITSC); 2013.
Xu Y, Kong QJ, Lin S, Liu Y. Urban traffic flow prediction based on road network model. 9th IEEE International Conference on Networking Sensing and Control (ICNSC); 2012.
Ye Z, Guoqiang C, Limin J, Min G, Xiaoqing C. Modeling and Application of Urban Dynamic Region Traffic Model Based on Information Fusion. 4th International Conference on Networked Computing and Advanced Information Management NCM '08; 2008.
Dendrinos DS. Urban Traffic Flows and Fourier Transforms. J Geographical Analysis. 1994;26(3):261-281.
Prikryl J. Simple model for urban traffic between two signalized intersections. 16th International IEEE Conference on Intelligent Transportation Systems – (ITSC); 2013.
MathWorks Documentation. MathWorks. [Internet]. [cited 10 October 2014]. Available from: http://www.mathworks.com/help/index.html.
Dyke P. An Introduction to Laplace Transforms and Fourier Series. London: Springer Verlag; 1999.
Kammler DW. A First Course in Fourier Analysis. New York: Cambridge University Press; 2007.
Boggess A, Narcowich F. A First Course in Wavelets with Fourier Analysis. New Jersey: John Wiley & Sons; 2009.
FFTW. [Internet]. [cited 10 October 2014]. Available from: http://www.fftw.org/.
Chitturi MV. Methodology for Development of Delay-based Passenger Car Equivalents of Heavy Vehicles in Work Zones [study]. Urbana Illionos: University of Illinois at Urbana; 2002.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).