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• W2790209414 abstract "Sparse arrays can achieve a higher number of degrees of freedom (DOFs) compared with uniform linear array (ULA) counterparts. To further reduce the number of physical sensors while keeping a high number of DOFs, a direction of arrival (DOA) estimation algorithm by exploiting coprime frequencies base on a sparse ULA is recently proposed. However, the performance of such approach is not properly analyzed. In this letter, we analyze the Cramér-Rao bound (CRB) as the lower bound of the DOA estimation performance. The difference between the results presented in this letter and the recent CRB results on sparse arrays lies primarily in the additional phases occurred when utilizing different frequencies. It is shown in this letter that the phases affect the covariance matrix of the received data vector and, as a result, change the number of resolvable sources and alter the achieved CRB. We first demonstrate the effect of the additional phases with an example of two closely spaced sources, and the CRB for a sparse ULA exploiting two coprime frequencies is then derived. Numerical simulations are provided to validate the analyses." @default.
• W2790209414 created "2018-03-29" @default.
• W2790209414 creator A5024818901 @default.
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• W2790209414 date "2018-06-01" @default.
• W2790209414 modified "2023-09-27" @default.
• W2790209414 title "Performance Analysis for Uniform Linear Arrays Exploiting Two Coprime Frequencies" @default.
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• W2790209414 doi "https://doi.org/10.1109/lsp.2018.2798587" @default.
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