- Research Article
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Cumulant-Based Coherent Signal Subspace Method for Bearing and Range Estimation
EURASIP Journal on Advances in Signal Processing volume 2007, Article number: 084576 (2006)
A new method for simultaneous range and bearing estimation for buried objects in the presence of an unknown Gaussian noise is proposed. This method uses the MUSIC algorithm with noise subspace estimated by using the slice fourth-order cumulant matrix of the received data. The higher-order statistics aim at the removal of the additive unknown Gaussian noise. The bilinear focusing operator is used to decorrelate the received signals and to estimate the coherent signal subspace. A new source steering vector is proposed including the acoustic scattering model at each sensor. Range and bearing of the objects at each sensor are expressed as a function of those at the first sensor. This leads to the improvement of object localization anywhere, in the near-field or in the far-field zone of the sensor array. Finally, the performances of the proposed method are validated on data recorded during experiments in a water tank.
Nicq G, Brussieux M: A time-frequency method for classifying objects at low frequencies. Proceedings of the IEEE Oceans Conference, September-October 1998, Nice, France 1: 148–152.
Guillermin R, Lasaygues P, Sessarego J, Wirgin A: Characterization of buried objects by a discretized domain integral equation inversion method using born approximation. Proceedings of the 5th European Conference on Underwater Acoustics (ECUA '00), July 2000, Lyon, France 2: 863–868.
Hetet A, Amate M, Zerr B, et al.: SAS processing results for the detection of buried objects with a ship-mounted sonar. Proceedings of the 7th European Conference on Underwater Acoustics (ECUA '04), July 2004, Delft, The Netherlands 1127–1132.
Roux P, Fink M: Time reversal in a waveguide: study of the temporal and spatial focusing. The Journal of the Acoustical Society of America 2000,107(5):2418–2429. 10.1121/1.428628
Derode A, Tourin A, Fink M: Limits of time-reversal focusing through multiple scattering: long-range correlation. The Journal of the Acoustical Society of America 2000,107(6):2987–2998. 10.1121/1.429328
Gonen E, Mendel JM: Applications of cumulants to array processing—Part III: blind beamforming for coherent signals. IEEE Transactions on Signal Processing 1997,45(9):2252–2264. 10.1109/78.622948
Mendel JM: Tutorial on higher-order statistics (spectra) in signal processing and system theory: theoretical results and some applications. Proceedings of the IEEE 1991,79(3):278–305. 10.1109/5.75086
Valaee S, Kabal P: Wideband array processing using a two-sided correlation transformation. IEEE Transactions on Signal Processing 1995,43(1):160–172. 10.1109/78.365295
Wang H, Kaveh M: Coherent signal-subspace processing for the detection and estimation of angles of arrival of multiple wide-band sources. IEEE Transactions on Acoustics, Speech, and Signal Processing 1985,33(4):823–831. 10.1109/TASSP.1985.1164667
Fawcett JA, Fox WLJ, Maguer A: Modeling of scattering by objects on the seabed. The Journal of the Acoustical Society of America 1998,104(6):3296–3304. 10.1121/1.423969
Junger MC: Sound scattering by thin elastic shells. The Journal of the Acoustical Society of America 1952,24(4):366–373. 10.1121/1.1906905
Doolittle RD, Überall H: Sound scattering by elastic cylindrical shells. The Journal of the Acoustical Society of America 1966,39(2):272–275. 10.1121/1.1909886
Goodman R, Stern R: Reflection and transmission of sound by elastic spherical shells. The Journal of the Acoustical Society of America 1962,34(3):338–344. 10.1121/1.1928120
Prada C, Fink M: Separation of interfering acoustic scattered signals using the invariants of the time-reversal operator. Application to Lamb waves characterization. The Journal of the Acoustical Society of America 1998,104(2):801–807. 10.1121/1.423354
Ye Z: Recent developments in underwater Acoustics: acoustic scattering from single and multiple bodies. Proceedings of the National Science Council, Republic of China, Part A: Physical Science and Engineering 2001,25(3):137–150.
Lim R, Lopes JL, Hackman RH, Todoroff DG: Scattering by objects buried in underwater sediments: theory and experiment. The Journal of the Acoustical Society of America 1993,93(4):1762–1783. 10.1121/1.406719
Tesei A, Maguer A, Fox WLJ, Lim R, Schmidt H: Measurements and modeling of acoustic scattering from partially and completely buried spherical shells. The Journal of the Acoustical Society of America 2002,112(5):1817–1830. 10.1121/1.1509425
Bendjama A, Bourennane S, Frikel M: Direction finding after blind identification of source steering vectors. Proceedings of the IASTED International Conference on Signal and Image Processing (SIP '98), October 1998, Las Vegas, Nev, USA 491–494.
Yuen N, Friedlander B: DOA estimation in multipath: an approach using fourth-order cumulants. IEEE Transactions on Signal Processing 1997,45(5):1253–1263. 10.1109/78.575698
Bourennane S, Frikel M, Bendjama A: Fast wideband source separation based on higher-order statistics. Proceedings of the IEEE Signal Processing Workshop on Higher Order Statistics (HOS '97), July 1997, Banff, Canada 354–358.
Pillai SU, Kwon BUH: Forward/backward spatial smoothing techniques for coherent signal identification. IEEE Transactions on Acoustics, Speech, and Signal Processing 1989,37(1):8–15. 10.1109/29.17496
Maze G, Decultot D, Lecroq F, Ripoche J, Bao X-L, Uberall H: Resonance identifications of a solid axisymmetric finite length target. The Journal of the Acoustical Society of America 1994,96(2):944–950. 10.1121/1.410268
Rumerman ML: Contribution of membrane wave reradiation to scattering from finite cylindrical steel shells in water. The Journal of the Acoustical Society of America 1993,93(1):55–65. 10.1121/1.405636
Veksler NK: Resonance Acoustic Spectroscopy. Springer, New York, NY, USA; 1993.
Bao X-L: Echoes and helical surface waves on a finite elastic cylinder excited by sound pulses in water. The Journal of the Acoustical Society of America 1993,94(3):1461–1466. 10.1121/1.408148
Frikel M, Bourennane S: Fast algorithm for the wideband array processing using twosided correlation transformation. Proceedings of the 8th European Signal Processing Conference (EUSIPCO '96), September 1996, Trieste, Italy 2: 959–962.
Reddy KM, Reddy VU: Further results in spatial smoothing. Signal Processing 1996,48(3):217–224. 10.1016/0165-1684(95)00137-9
Hung H, Kaveh M: Focussing matrices for coherent signal-subspace processing. IEEE Transactions on Acoustics, Speech, and Signal Processing 1988,36(8):1272–1281. 10.1109/29.1655
Wax M, Kailath T: Detection of signals by information theoretic criteria. IEEE Transactions on Acoustics, Speech, and Signal Processing 1985,33(2):387–392. 10.1109/TASSP.1985.1164557
Stanton TK: Sound scattering by cylinders of finite length. II. Elastic cylinders. The Journal of the Acoustical Society of America 1988,83(1):64–67. 10.1121/1.396185
Fawcett JA: Scattering from a partially fluid-filled, elastic-shelled sphere. The Journal of the Acoustical Society of America 2001,109(2):508–513. 10.1121/1.1339827
Fawcett JA, Lim R: Evaluation of the integrals of target/seabed scattering using the method of complex images. The Journal of the Acoustical Society of America 2003,114(3):1406–1415. 10.1121/1.1600726
Lim R, Williams KL, Thorsos EI: Acoustic scattering by a three-dimensional elastic object near a rough surface. The Journal of the Acoustical Society of America 2000,107(3):1246–1262. 10.1121/1.428414
Lim R: Acoustic scattering by a partially buried three-dimensional elastic obstacle. The Journal of the Acoustical Society of America 1998,104(2):769–782. 10.1121/1.423352
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Saidi, Z., Bourennane, S. Cumulant-Based Coherent Signal Subspace Method for Bearing and Range Estimation. EURASIP J. Adv. Signal Process. 2007, 084576 (2006). https://doi.org/10.1155/2007/84576
- Information Technology
- Receive Signal
- Quantum Information
- Water Tank
- Sensor Array