This correspondence improves and extends bounds on the numbers of sensors, redundancies, and holes for sparse linear arrays to sparse planar and volume arrays. As an application, the efficiency of regular planar and volume arrays with redundancies but no holes is deduced. Also, examples of new redundancy and hole square arrays, found by exhaustive computer search, are given.

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This paper presents an asymptotic analysis of the eigen value decomposition (EVD) of the sample covariance matrix associated with independent identically distributed (IID) non necessarily circular and Gaussian data that extends the well known analysis presented in the literature for circular and Gaussian data. Closed-form expressions of the asymptotic bias and variance of the sample eigenvalues and eigenvectors are given. As an application of these extended expressions, the statistical performance analysis of the widely-used minimum description length (MDL) criterion applied to the detection of the number of noncircular or/and nonGaussian sources impinging on an array of sensors is considered with a particular attention paid to uncorrelated rectilinear sources.

Abstract-Finite

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