Direction-finding with sparse rectangular dual-size spatial invariance array

A novel sparse array geometry embedding two sizes of spatial invariances is presented for use with a new ESPRIT-based (estimation of signal parameters via rotational invariance techniques) algorithm for aperture extension. The half-wavelength invariance yields unambiguous but high-variance direction cosine estimates to disambiguate low-variance but cyclically ambiguous estimates from the larger invariance. With larger invariance at 60 half-wavelengths, resolution threshold for two closely spaced emitters is reduced by 50 dB and estimation error by 100-fold. Array design formulas are also presented.

[1]  Benoît Champagne,et al.  Adaptive eigendecomposition of data covariance matrices based on first-order perturbations , 1994, IEEE Trans. Signal Process..

[2]  Michael D. Zoltowski,et al.  Sparse array spatial diversity with dual-size spatial invariances to mitigate fading-channel effects , 1997, Proceedings of ICC'97 - International Conference on Communications.

[3]  Ramdas Kumaresan,et al.  Resolving ambiguities in estimating spatial frequencies in sparse linear array , 1994, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing.

[4]  Björn E. Ottersten,et al.  Multiple invariance ESPRIT , 1992, IEEE Trans. Signal Process..

[5]  Michael D. Zoltowski,et al.  Beamspace Root-MUSIC for minimum redundancy linear arrays , 1993, IEEE Trans. Signal Process..

[6]  Thomas Kailath,et al.  ESPRIT-estimation of signal parameters via rotational invariance techniques , 1989, IEEE Trans. Acoust. Speech Signal Process..

[7]  Jerry M. Mendel,et al.  Applications of cumulants to array processing - I. Aperture extension and array calibration , 1995, IEEE Trans. Signal Process..

[8]  Michael D. Zoltowski,et al.  Sensor array signal processing via a procrustes rotations based eigenanalysis of the ESPRIT data pencil , 1989, IEEE Trans. Acoust. Speech Signal Process..

[9]  Anthony J. Weiss,et al.  Performance analysis of the VIA-ESPRIT algorithm , 1993 .

[10]  Michael D. Zoltowski,et al.  Orthogonal velocity-hydrophone ESPRIT for sonar source localization , 1996, OCEANS 96 MTS/IEEE Conference Proceedings. The Coastal Ocean - Prospects for the 21st Century.

[11]  Ed F. Deprettere,et al.  Parallel and adaptive high-resolution direction finding , 1994, IEEE Trans. Signal Process..

[12]  E. J. Baghdady.  Hybrid interferometry for high-resolution DOA measurement , 1989, Proceedings of the IEEE National Aerospace and Electronics Conference.

[13]  Anthony J. Weiss,et al.  Direction finding using ESPRIT with interpolated arrays , 1991, IEEE Trans. Signal Process..

[14]  Michael D. Zoltowski,et al.  Extended-aperture spatial diversity and polarizational diversity using a sparse array of electric dipoles or magnetic loops , 1997, 1997 IEEE 47th Vehicular Technology Conference. Technology in Motion.

[15]  R. O. Schmidt,et al.  Multiple emitter location and signal Parameter estimation , 1986 .

[16]  Thomas Kailath,et al.  On spatial smoothing for direction-of-arrival estimation of coherent signals , 1985, IEEE Trans. Acoust. Speech Signal Process..

[17]  Petre Stoica,et al.  Performance comparison of subspace rotation and MUSIC methods for direction estimation , 1990, Fifth ASSP Workshop on Spectrum Estimation and Modeling.

[18]  M. H. Er,et al.  A study of the uniqueness of steering vectors in array processing , 1993, Signal Process..

[19]  M. Zoltowski,et al.  Sparse array aperture extension with dual-size spatial invariances for ESPRIT-based direction finding , 1996, Proceedings of the 39th Midwest Symposium on Circuits and Systems.

[20]  D.-C. Shiue,et al.  Estimation of direction-of-arrival using spatially large sparse array , 1989, International Conference on Acoustics, Speech, and Signal Processing,.

[21]  Bjorn Ottersten,et al.  Performance analysis of the total least squares ESPRIT algorithm , 1991, IEEE Trans. Signal Process..

[22]  David N. Swingler,et al.  Line-array beamforming using linear prediction for aperture interpolation and extrapolation , 1989, IEEE Trans. Acoust. Speech Signal Process..

[23]  Ming Zhang,et al.  Improving resolution for array processing by new array geometry and spatial filter , 1994, IEEE Trans. Signal Process..

[24]  Richard J. Vaccaro,et al.  Direction-of-arrival estimation using an ESPRIT array with double invariance , 1993, Proceedings of 27th Asilomar Conference on Signals, Systems and Computers.

[25]  Michael D. Zoltowski,et al.  High accuracy 2D angle estimation with extended aperture vector sensor arrays , 1996, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings.