On Clutter Rank Observed by Arbitrary Arrays

This paper analyzes the rank and eigenspectrum of the clutter covariance matrix observed by space-time radar systems with arbitrarily configured arrays and varying look geometry. Motivated by recent applications that suggest use of nonuniform antenna arrays, a generalized theory of clutter rank is d...

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Bibliographic Details
Published in:	IEEE transactions on signal processing Vol. 55; no. 1; pp. 178 - 186
Main Authors:	Goodman, N.A., Stiles, J.M.
Format:	Journal Article
Language:	English
Published:	New York, NY IEEE 01-01-2007 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Adaptive radar Antenna arrays Antenna measurements Antenna theory Applied sciences Arrays Clutter Covariance matrix Equivalence Exact sciences and technology Geometry Information, signal and communications theory Radar Radar antennas Radar clutter Radar measurements radar signal processing Random processes Representations Sampling Sampling, quantization Signal and communications theory Simulation Spaceborne radar Telecommunications and information theory Karhunen Loeve transformation Space time Bandwidth allocation Covariance matrix Stochastic process Clutter Radar clutter Radar Adaptive radar Radar signal processing Sampling Resource management Antenna array
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Summary:	This paper analyzes the rank and eigenspectrum of the clutter covariance matrix observed by space-time radar systems with arbitrarily configured arrays and varying look geometry. Motivated by recent applications that suggest use of nonuniform antenna arrays, a generalized theory of clutter rank is derived and demonstrated. First, a one-dimensional effective random process is defined by projecting the measurements obtained by an arbitrary space-time radar system into an equivalent one-dimensional sampling structure. Then, this projection and the Karhunen-Loeve representation of random processes are used to predict clutter rank based on effective aperture-bandwidth product. Simulated results are used to confirm the theory over a wide range of scenarios, and along the way, the well-known Brennan's rule for clutter rank is shown to be a special case of the proposed aperture-bandwidth product
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	1053-587X 1941-0476
DOI:	10.1109/TSP.2006.882071