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On Clutter Rank Observed by Arbitrary Arrays

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2 Author(s)
Goodman, N.A. ; Dept. of Electr. & Comput. Eng., Arizona Univ., Tucson, AZ ; Stiles, J.M.

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

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Signal Processing, IEEE Transactions on  (Volume:55 ,  Issue: 1 )