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To form a collocated triad of orthogonally oriented dipole(s) and/or loop(s), 20 different compositions are possible. For each such composition: 1) closed-form formulas are produced here to estimate the azimuth-elevation direction-of-arrival and the polarization-parameters from an ambiguous steering vector subject to an unknown complex-value multiplicative coefficient; or 2) reasoning is given why such estimation is inviable.
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Yuan et al. (2011) studied this question.
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