Minimum-redundancy linear arrays for cyclostationarity-based source location

The problem of designing minimum-redundancy linear arrays (MRLAs) and appropriate augmentation techniques to be utilized with cyclostationarity-exploiting (cyclic) methods for source location is addressed. The MRLA geometries proposed in the literature for the conventional case, which apply equally well when the signals of interest exhibit cyclostationarity are not appropriate when they exhibit conjugate cyclostationarity. In this case, the problem of finding optimal MRLAs is restated as the problem of number theory that is commonly referred to as the postage stamp problem. Results of computer simulations show that in densely crowded environments, the use of cyclic methods with MRLA geometries and appropriate matrix augmentation techniques can offer a significant performance improvement on cyclic methods that do not resort to matrix augmentation techniques.

[1]  Michael F. Challis Two New Techniques for Computing Extremal h-bases Ak , 1993, Comput. J..

[2]  Luigi Paura,et al.  An interference-tolerant algorithm for localization of cyclostationary-signal sources , 1992, IEEE Trans. Signal Process..

[3]  William A. Gardner,et al.  Introduction to random processes with applications to signals and systems: Reviewer: D. W. Clarke Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PK, England , 1988, Autom..

[4]  R. T. Hoctor,et al.  The unifying role of the coarray in aperture synthesis for coherent and incoherent imaging , 1990, Proc. IEEE.

[5]  F. Haber,et al.  A new approach to array geometry for improved spatial spectrum estimation , 1985, ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing.

[6]  A. Moffet Minimum-redundancy linear arrays , 1968 .

[7]  W. F. Lunnon A postage stamp problem , 1969, Comput. J..

[8]  Giacinto Gelli Power and timing parameter estimation of multiple cyclostationary signals from sensor array data , 1995, Signal Process..

[9]  Thomas Kailath,et al.  Direction-of-arrival estimation via exploitation of cyclostationary-a combination of temporal and spatial processing , 1992, IEEE Trans. Signal Process..

[10]  Y. Bar-Ness,et al.  A new approach to array geometry for improved spatial spectrum estimation , 1985, Proceedings of the IEEE.

[11]  Saleem A. Kassam,et al.  Array redundancy for active line arrays , 1996, IEEE Trans. Image Process..

[12]  Svein Mossige Algorithms for computing the $h$-range of the postage stamp problem , 1981 .