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.