Wavelet Library for Modelica

Jianbo Gao
Technische Universitaet Muenchen, Munich, Germany

Yang Ji
German Aerospace Center, Wessling, Germany

Johann Bals
German Aerospace Center, Wessling, Germany

Ralph Kennel
Technische Universitaet Muenchen, Munich, Germany

Ladda ner artikelhttp://dx.doi.org/10.3384/ecp140961123

Ingår i: Proceedings of the 10th International Modelica Conference; March 10-12; 2014; Lund; Sweden

Linköping Electronic Conference Proceedings 96:117, s. 1123-1130

Visa mer +

Publicerad: 2014-03-10

ISBN: 978-91-7519-380-9

ISSN: 1650-3686 (tryckt), 1650-3740 (online)


Wavelet analysis is being widely used in different fields for signal processing to increase efficiency and flexibility. A wavelet library has been a standard component in many simulation programs. However; wavelet analysis has not yet been included in Modelica as a standard component. To fill this blank; a comprehensive wavelet library has been developed for Modelica. This library includes fifteen commonly used wavelet families. It can carry out continuous transform; forward and inverse discrete transforms; and multi-level decomposition and reconstruction in one-dimensional space. In addition; special application tools for multi-resolution analysis and wavelet denoising are provided. Moreover; some examples are given to provide the users a quick start point to build up their own algorithms. This library was programmed and tested according to the Modelica language specification 3.2 under the Dymola platform version 2013. The test results prove the functionalities of the library.


Modelica; Dymola; wavelet; Modelica library


[1] I. Daubechies. Ten Lectures on Wavelets. SIAM 1992.

[2] S. Mallat (2009): A wavelet tour of signal processing - the sparse way. Amsterdam: Elsevier.

[3] X. Zeng, S. Huang, et. al. Frequency domain wavelet method for high-speed circuit simulation. IEEE International Symposium on Circuits and Systems. ISCAS 2002, pp II-233-236, 2002.

[4] Q. Wang and F. Jiang. Simulation for fault of transmission lines based on discrete wavelet transform. International Conference on Electrical and Control Engineering. ICECE 2011, pp 2554-2556, 16-18 Sept. 2011.

[5] G. Ala, M.L. Di Silvestre, et. al. Waveletbased efficient simulation of electromagnetic transients in a lightning protection system. IEEE Transactions on Magnetics. ITM 2003, vol 39, no 3, pp 1257-1260, May 2003.

[6] W. Xu, Y. Cui and J. Liu. Simulation Study of Detecting Pulse Signal Based on Wavelet transform. 8th International Conference on Electronic Measurement and Instruments, 2007. ICEMI ’07, pp II-479-483, Aug. 16-18 2007.

[7] T. Bünte, A. Sahin and N. Bajcinca. Inversion of Vehicle Steering Dynamics with Modelica / Dymola. Proceedings of the 4th International Modelica Conference, pp 319-328. Hamburg, Germany, March 7-8, 2005.

[8] Y. Ji and J. Bals. A Modelica signal analysis tool towards design of More Electric Aircraft. Proceedings of 2010 International Conference on Information and Applied Electronics, pp 152 - 156. Chendu, China, June 9-11 2010.

[9] J. Gao, Y. Ji, J. Bals and R. Kennel. Fault Detection of Power Electronic Circuit using Wavelet Analysis in Modelica. Prodeedings of the 9th International Modelica Conference, pp 513 – 521. Munich, Germany, Sept. 3-5, 2012.

[10] E. Jacobsen and R. Lyons. The sliding DFT. Signal Processing Magazine, vol. 20, issue 2, pp. 74–80, March 2003.

Citeringar i Crossref