Adaptive Antenna Arrays pp 205-218 | Cite as
Polarimetric Array Processing for Nonstationary Signals
Abstract
Time-frequency distributions (TFDs) have evolved to be a powerful technique for nonstationary signal analysis and synthesis. With the use of a multi-sensor array, spatial time-frequency distributions (STFDs) have been developed and successfully applied to high-resolution direction-of-arrival (DOA) estimations and blind recovery of the source waveforms. In this paper, we introduce the spatial polarimetric time-frequency distribution (SPTFD) as a platform to process nonstationary array signals with two orthogonal polar-ization components, such as horizontal and vertical. The use of dual polarization empowers the STFDs with additional degrees-of-freedom (D0Fs) and improves the robustness of the signal and noise subspaces. This improvement serves to enhance DOA estimation and signal recovery. To demonstrate the ef-fectiveness of the SPTFD platform, the polarimetric timefrequency ESPRIT (PTF-ESPRIT) method is proposed and is shown to outperform time-fre-quency, polarimetric, and conventional ESPRIT methods.
Keywords
Blind Source Separation Array Processing Noise Subspace Nonstationary Signal IEEE Signal Processing LetterPreview
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References
- 1.L. Cohen, “Time-frequency distributions–a review,” Proc. Ieee, vol 77, no. 7, pp. 941–981, July 1989Google Scholar
- 2.B. Boashash,“Time-frequency signal analysis,” in S. Haykin (ed.), Advances in Spectrum Analysis and Array Processing, Englewood Cliffs, NJ: Prentice Hall, 1990Google Scholar
- 3.F. Hlawatsch and G. Boudreaux-Bartels, “Linear and quadratic time-frequency signal representations,” IEEE Signal Processing Mag, vol. 9, no. 2, pp. 21–68, April 1992CrossRefGoogle Scholar
- 4.L. Cohen, Time-Frequency Analysis, Englewood Cliffs, NJ: Prentice Hall, 1995Google Scholar
- 5.S. Qian and D. Chen,Joint Time-Frequency Analysis - Methods and Applications,Engle-wood Cliffs, NJ: Prentice Hal1,1996Google Scholar
- 6.S. Barbarossa and A. Farina, “Detection and imaging of moving objects with synthetic aperture radar–part II: joint time-frequency by Wigner-Ville distribution,” IEE Proc. F, vol. 139, no. 1, pp. 89–97, Feb. 1992Google Scholar
- 7.O. P. Kenny and B. Boashash, “Time-frequency analysis of backscattered signals from diffuse radar targets;’ IEE Proc. F, vol. 140, no. 3, pp. 198–208, June 1993Google Scholar
- 8.V. C. Chen and S. Qian, “Joint time-frequency transform for radar range-Doppler imaging,” IEEE Trans. Aerospace and Electronic Systems, vol. 34, no. 2, pp. 486–499, April 1998MathSciNetCrossRefGoogle Scholar
- 9.V. C. Chen and H. Ling,“Joint time-frequency analysis for radar signal and image processing,” IEEE Signal Processing Mag, vol. 16, no. 2, pp. 81–93, March 1999CrossRefGoogle Scholar
- 10.K.-T. Kim, I.-S. Choi and H.-T. Kin, “Efficient radar target classification using adaptive joint time-frequency processing;’ IEEE Trans. Antennas Propagat, vol. 48, no. 12, pp. 1789–1801, December 2000CrossRefGoogle Scholar
- 11.A. Belouchrani and M. G. Amin, “Blind source separation based on time-frequency signal representations,” IEEE Trans. Signal Processing, vol. 46, no. 11, pp. 2888–2897, Nov. 1998CrossRefGoogle Scholar
- 12.A. Belouchrani and M G Amin, “Time-frequency MUSIC;’ IEEE Signal Processing Letters, vol. 6, pp. 109–110, May 1999CrossRefGoogle Scholar
- 13.Y. Zhang, W. Mu and M G Amin, “Time-frequency maximum likelihood methods for direction finding;’ J. Franklin Institute, vol. 337, no. 4, pp. 483–497, July 2000MATHCrossRefGoogle Scholar
- 14.M. G. Amin and Y. Zhang, “Direction finding based on spatial time-frequency distribution matrices;’ Digital Signal Processing, vol. 10, no. 4, pp. 325–339, Oct. 2000CrossRefGoogle Scholar
- 15.Y. Zhang, W Mu and M. G. Amin, “Subspace analysis of spatial time-frequency distribution matrices;’ IEEE Trans. Signal Processing, vol. 49, no. 4, pp. 747–759, April 2001CrossRefGoogle Scholar
- 16.M. G. Amin, Y. Zhang, G. J. Frazer and A. R. Lindsey, “Spatial time-frequency distributions: Theory and applications;’ in L. Debnath (ed.), Wavelets and Signal Processing, Boston, MA: Birkhäuser, 2003Google Scholar
- 17.A. R. Leyman, Z. M. Kamran and K. Abed-Meraim,“Higher-order time frequency-based blind source separation technique;’ IEEE Signal Processing Letters, vol. 7, no. 7, pp. 193–196, July 2000CrossRefGoogle Scholar
- 18.A. Hassanien, A. B. Gershman and M. G. Amin, “Time-frequency ESPRIT for directionof-arrival estimation of chirp signals;’ Proceedings of IEEE Sensor Array and Multichannel Signal Processing Workshop, Rosslyn, VA, Aug. 2002Google Scholar
- 19.L. A. Cirillo, A. M. Zoubir and A. B. Gershman, “Direction-of-arrival estimation for un-correlated FM signals;’ Proceedings of IEEE Sensor Array and Multichannel Signal Processing Workshop, Rosslyn, VA, Aug. 2002Google Scholar
- 20.W. C. Y. Lee and Y. S. Yeh,“Polarization diversity for mobile radio;’ IEEE Trans. Communications, vol. COM-20, pp. 912–923, May 1972Google Scholar
- 21.D. Giuli, “Polarization diversity in radars;’ Proc. IEEE, vol. 74, no. 2, pp. 245–269, Feb. 1986MathSciNetCrossRefGoogle Scholar
- 22.A. I. Kozlov, L. P. Ligthart and A. I. Logvin, Mathematical and Physical Modelling of Microwave Scattering and Polarimetric Remote Sensing, London, U.K.: Kluwer Academic, 2001Google Scholar
- 23.D. J. McLaughlin, Y. Wu, W. G. Stevens, X. Zhang, M. J. Sowa and B. Weij ers, “Fully polari-metric bistatic radar scattering behavior of forested hills;’ IEEE Trans. Antennas Propagat, vol. 50, no. 2, pp. 101–110, Feb. 2002CrossRefGoogle Scholar
- 24.E Sadjadi,“Improved target classification using optimum polarimetric SAR signatures,” IEEE Trans. Aerospace and Electronic Systems,vol. 38, no. 1, pp. 38–49, Jan. 2002Google Scholar
- 25.A. L. Pazmany, R. E. McIntosh, R. D. Kelly and G. Vali, “An airborne 95 GHz dual-polarized radar for cloud studies,” IEEE Trans. Geoscience and Remote Sensing, vol. 32, no. 4, pp. 731–739, July 1994CrossRefGoogle Scholar
- 26.S. H. Yueh, W. J. Wilson and S. Dinardo,“Polarimetric radar remote sensing of ocean surface wind;’ IEEE Trans. Geoscience and Remote Sensing, vol. 40, no. 4, pp. 793–800, April 2002CrossRefGoogle Scholar
- 27.G. A. Toannidids and D. E. Hammers, “Optimum antenna polarizations for target discrimination in clutter;’ IEEE Trans. Antennas Propagat, vol. AP-27, pp. 357–363, 1979Google Scholar
- 28.D. A. Garren, A. C. Odom, M. K. Osborn, J. S. Goldstein, S. U. Pillai and J. R. Guerci,“Full-polarization matched-illumination for target detection and identification:’ IEEE Trans. Aerospace and Electronic Systems, vol. 38, no. 3, pp. 824–837, July 2002CrossRefGoogle Scholar
- 29.J. Li and R. T. Compton, “Angle estimation using a polarization sensitive array;’ IEEE Trans. Antennas Propagat, vol. 39, no. 10, pp. 1539–1543, Oct. 1991CrossRefGoogle Scholar
- 30.E. R. Ferrara and T. M. Parks, “Direction finding with an array of antennas having di-verse polarizations,” IEEE Trans. Antennas Propagat, vol. 31, pp. 231–236, March 1983CrossRefGoogle Scholar
- 31.H. Yamada, K. Onishi and Y. Yamaguchi, “Polarimetric superresolution technique for 2-D radar target imagine Proc. SPIE, vol. 3120, pp. 317–326, 1997CrossRefGoogle Scholar
- 32.B. A. Obeidat, Y. Zhang and M G Amin,“Polarimetric time-frequency ESPRIr Annual Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, Nov. 2003Google Scholar
- 33.Y. Zhang, M. G. Amin and B. A. Obeidat, “Direction finding using spatial polarimetric time-frequency distributions,” Int. Symp. Signal Processing and Its Applications, Paris, France, July 2003Google Scholar
- 34.Y. Zhang, M. G. Amin and B. A. Obeidat, “The spatial polarimetric time-frequency dis-tributions and their application to direction-of-arrival estimation,”Proc. SPIE, vol. 5205, Aug. 2003Google Scholar
- 35.Y. Zhang, B.A. Obeidat and M. G. Amin,“Polarimetric time-frequency MUSIC in coher-ent signal environment,” IEEE Workshop on Statistical Signal Processing, St. Louis, MO, Sept. 2003Google Scholar
- 36.A. Belouchrani, M. G. Amin and K. Abed-Meraim,“Direction finding in correlated noise fields based on joint block-diagonalization of spatio-temporal correlation matrices,” IEEE Signal Processing Letters, vol. 4, no. 9, pp. 266–268, Sept. 1997CrossRefGoogle Scholar
- 37.R. Roy and T. Kailath, “ESPRIT-estimation of signal parameters via rotational invari-ance techniques,” IEEE Trans. Acoust, Speech, Signal Processing, vol. 37, pp. 984–995, July 1989Google Scholar
- 38.A. Belouchrani, K. Abed-Meraim, M. G. Amin and A. M. Zoubir,“Joint anti-diagonaliza-tion for blind source separation,” Proc. Icassp,Salt Lake City, UT, pp. 2789–2792, MayGoogle Scholar
- 39.W. Mu, M. G. Amin and Y. Zhang, “Bilinear signal synthesis in array processing,” IEEE Trans. Signal Processing, vol. 51, no. 1, pp. 90–100, Jan. 2003MathSciNetCrossRefGoogle Scholar
- 40.M. G. Amin and Y. Zhang,“Bilinear signal synthesis using polarization diversity,” IEEE Signal Processing Letters, vol. II, no. 3, March 2004Google Scholar