Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30172
Comparison of Frequency Estimation Methods for Reflected Signals in Mobile Platforms

Authors: Kathrin Reinhold

Abstract:

Precise frequency estimation methods for pulseshaped echoes are a prerequisite to determine the relative velocity between sensor and reflector. Signal frequencies are analysed using three different methods: Fourier Transform, Chirp ZTransform and the MUSIC algorithm. Simulations of echoes are performed varying both the noise level and the number of reflecting points. The superposition of echoes with a random initial phase is found to influence the precision of frequency estimation severely for FFT and MUSIC. The standard deviation of the frequency using FFT is larger than for MUSIC. However, MUSIC is more noise-sensitive. The distorting effect of superpositions is less pronounced in experimental data.

Keywords: Frequency estimation, pulse-echo-method, superposition, echoes.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1082561

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 836

References:


[1] H. Lindner, Physik f¨ur Ingenieure, Fachbuchverlag Leipzig im Carl- Hanser-Verlag, Muenchen, Wien, 15th edition, 1999.
[2] R. Demirli and J. Saniie, "Model-based estimation of ultrasonic echoes. part i: Analysis and algorithms," Ultrasonics, Ferroelectrics and Frequency Control, IEEE Transactions on, vol. 48, no. 3, pp. 787-802, May 2001.
[3] J. Martinsson, F. H¨agglund, and J.E. Carlson, "Complete post-separation of overlapping ultrasonic signals by combining hard and soft modeling," Ultrasonics, vol. 48, no. 5, pp. 427 - 443, 2008.
[4] S.M. Kay, Modern Spectral Estimation: Theory and Application, 1988.
[5] T.T. Wang, "The segmented chirp z-transform and its application in spectrum analysis," Instrumentation and Measurement, IEEE Transactions on, vol. 39, no. 2, pp. 318-323, Apr 1990.
[6] L. Rabiner, R. Schafer, and C. Rader, "The chirp z-transform algorithm," Audio and Electroacoustics, IEEE Transactions on, vol. 17, no. 2, pp. 86-92, Jun 1969.
[7] L. Rabiner, R. Schafer, and C. Rader, "The chirp z-transform algorithm and its applications," Bell Sys. Tech. J, 1969.
[8] G. Cardoso and J. Saniie, "Ultrasonic data compression via parameter estimation," Ultrasonics, Ferroelectrics and Frequency Control, IEEE Transactions on, vol. 52, no. 2, pp. 313-325, Feb. 2005.