Publisher : The Korean Institute of Information and Commucation Engineering
DOI : 10.6109/jkiice.2016.20.1.22
Title & Authors
Active Sonar Target Detection Using Fractional Fourier Transform Baek, Jongdae; Seok, Jongwon; Bae, Keunsung;
Many studies in detection and classification of the targets in the underwater environments have been conducted for military purposes, as well as for non-military purpose. Due to the complicated characteristics of underwater acoustic signal reflecting multipath environments and spatio-temporal varying characteristics, active sonar target detection technique has been considered as a difficult technique. In this paper, we describe the basic concept of Fractional Fourier transform and optimal transform order. Then we analyze the relationship between time-frequency characteristics of an LFM signal and its spectrum using Fractional Fourier transform. Based on the analysis results, we present active sonar target detection method. To verify the performance of proposed methods, we compared the results with conventional FFT-based matched filter. The experimental results demonstrate the superiority of the proposed method compared to the conventional method in the aspect of AUC(Area Under the ROC Curve).
Active Sonar;Fractional Fourier Transform;Underwater Target;Detection;Time-frequency Characteristics;
R. Jacob, Development of Time-Frequency Techniques for Sonar Applications, Ph. D. dissertation. Naval Physical and Oceanographic Laboratory, 2010.
G. B. Giannakis, "Signal detection and classification using matched filtering and higher order statistics," IEEE Trans. ASSP, vol. 38, pp. 1284-1296, 1990.
V. Namias, "The fractional order Fourier transform and its application to quantum mechanics," IMA Journal of Applied Mathematics, vol. 25, no. 3, pp. 241-265, 1980.
H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing, John Wiley, Chichester, NewYork, USA, 2001.
C. Capus and K. Brown, "Fractional Fourier transform of the Gaussian and fractional domain signal support," IEE Proceedings-Vision, Image, and Signal Processing, vol. 150, no. 2, pp. 99-106, 2003.
A. W. Lohmann et el, "Some important fractional transformations for signal processing," Opt. Commun., vol. 125, pp. 18-20, 1996.
V. Katkovnik, "A new form of the Fourier transform for time-varying frequency estimation," Signal Processing, vol. 47, no. 2, pp. 187-200, 1995.
H. M. Ozaktas, B. Barshan and D. Mendlovic, "Convolution and filtering in fractional Fourier domains," Optical Review, vol. 1, no. 1, pp. 15-16, 1994.
R Jacob, T Thomas and A. Unnikrishnan, "Applications of Fractional Fourier Transform in Sonar Signal Processing." IETE Journal of Research, vol. 55, pp. 16-27, 2014.
J. Vargas-Rubio and B. Santhanam, "On the multi angle centered discrete fractional Fourier transform," IEEE Signal Processing Letters, vol. 12, pp. 273-276, 2005.
A. Capus and K. Brown, "Short-time fractional Fourier methods for the time-frequency representation of chirp signals," Journal of Acoustic Society of America, vol. 113, pp. 3253-3263, 2003.
I. S. Yetik and A. Nehorai, "Beamforming using the fractional Fourier transform," IEEE Trans. Signal Processing, vol. 51, pp. 1663-1668, 2003.