2016
DOI: 10.1109/tsp.2016.2521616
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Modal Analysis Using Co-Prime Arrays

Abstract: Let a measurement consist of a linear combination of damped complex exponential modes, plus noise. The problem is to estimate the parameters of these modes, as in line spectrum estimation, vibration analysis, speech processing, system identification, and direction of arrival estimation. Our results differ from standard results of modal analysis to the extent that we consider sparse and co-prime samplings in space, or equivalently sparse and co-prime samplings in time. Our main result is a characterization of t… Show more

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Cited by 9 publications
(3 citation statements)
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“…According to the relatively prime characteristics of the element spacing of the two subarrays, it is proved that the DOA estimation results of the two subarrays are unique [26,27]. The coprime array which does not reduce the array aperture of the original array is simple to implement, and the estimation accuracy is greatly improved compared with the uniform array with the same number of antennas [28][29][30].…”
Section: Introductionmentioning
confidence: 99%
“…According to the relatively prime characteristics of the element spacing of the two subarrays, it is proved that the DOA estimation results of the two subarrays are unique [26,27]. The coprime array which does not reduce the array aperture of the original array is simple to implement, and the estimation accuracy is greatly improved compared with the uniform array with the same number of antennas [28][29][30].…”
Section: Introductionmentioning
confidence: 99%
“…In addition, root‐MUSIC can also be applied to ULAs with missing sensors [17]. The applications of the subspace‐based search‐free algorithms to the co‐prime array that consisting of two sparse uniform linear sub‐arrays with mutually co‐prime inter‐element spacings have been studied in [18, 19]. These search‐free algorithms are applied to each sparse uniform linear sub‐array separately, which results in two DOA candidate sets that containing the unique DOAs and ambiguous DOAs.…”
Section: Introductionmentioning
confidence: 99%
“…The increased degrees of freedom has been used to identify sources from only physical sensors [ 3 , 4 ]. Due to the simplicity of the array configuration, and the ability to resolve many more signals than the number of sensors, coprime arrays have attracted considerable interest in the DOA estimation applications [ 5 , 6 , 7 ]. In real scenarios, due to multi-path propagation or smart jammers, signals from different DOAs may become partially correlated, or coherent (fully correlated) in the extreme case [ 8 ].…”
Section: Introductionmentioning
confidence: 99%