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A note on most favorable array geometries for DOA estimation and array interpolation
Gershman, A.B.; Bohme, J.F.;
Signal Processing Letters, IEEE
Volume 4,
Issue 8,
Aug. 1997
Page(s):232
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235
Abstract:
Given an n-element linear array with the fixed positions x1 and xn of the leftmost and rightmost array sensors, it is shown that the stochastic Cramer-Rao bound (CRB) and MUSIC performance depend on positions of the remaining n-2 sensors within the interval [x1, xn]. The asymptotic performance of the interpolated array approach shows similar dependence. The most favorable geometries are unrealizable for q<n-1 because the array sensors tend to form q+1 point clusters, where q is the number of sources. An interesting consequence of these facts is that for certain realizable nonuniform linear array (NULA) geometries, interpolated root-MUSIC with a virtual uniform linear array (ULA) of length xn -x1 has better asymptotic performance than conventional root-MUSIC applied to a real ULA of the same length
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