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 inIEEE transactions on signal processing Vol. 55; no. 1; pp. 178 - 186
Main Authors Goodman, N.A., Stiles, J.M.
Format Journal Article
LanguageEnglish
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