Performance analysis for time-frequency MUSIC algorithm in presence of both additive noise and array calibration errors

Khodja, Mohamed R.; Belouchrani, Adel; Abed-Meraim, Karim

doi:10.1186/1687-6180-2012-94

Cited by 19 publications

(13 citation statements)

References 11 publications

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“…Perfect frequency increments are often assumed in existing literatures [20]. However, in an actual array system, there will have imperfect errors including element position errors, mutual coupling, phase errors, and frequency increment errors [21][22][23][24]. Some results have been reported about the impacts of element position error, mutual coupling and phase error on beampattern, and direction-of-arrival (DOA) estimation performances.…”

Section: Introductionmentioning

confidence: 94%

Impacts of frequency increment errors on frequency diverse array beampattern

Gao

Chen

Shao

et al. 2015

EURASIP J. Adv. Signal Process.

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Different from conventional phased array, which provides only angle-dependent beampattern, frequency diverse array (FDA) employs a small frequency increment across the antenna elements and thus results in a range angle-dependent beampattern. However, due to imperfect electronic devices, it is difficult to ensure accurate frequency increments, and consequently, the array performance will be degraded by unavoidable frequency increment errors. In this paper, we investigate the impacts of frequency increment errors on FDA beampattern. We derive the beampattern errors caused by deterministic frequency increment errors. For stochastic frequency increment errors, the corresponding upper and lower bounds of FDA beampattern error are derived. They are verified by numerical results. Furthermore, the statistical characteristics of FDA beampattern with random frequency increment errors, which obey Gaussian distribution and uniform distribution, are also investigated.

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Section: Introductionmentioning

confidence: 94%

Impacts of frequency increment errors on frequency diverse array beampattern

Gao

Chen

Shao

et al. 2015

EURASIP J. Adv. Signal Process.

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“…High-resolution DOA estimation methods are known to be sensitive to errors in the array response model [38][39][40][41][42]. This is because these approaches require exact knowledge of the array manifold.…”

Section: Introductionmentioning

confidence: 99%

Robust direct position determination methods in the presence of array model errors

Wang

Yin

Liu

et al. 2018

EURASIP J. Adv. Signal Process.

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Direct position determination (DPD) methods are known to have many advantages over the traditional two-step localization method, especially for low signal-to-noise ratios (SNR) and/or short data records. However, similar to conventional direction-of-arrival (DOA) estimation methods, the performance of DPD estimators can be dramatically degraded by inaccuracies in the array model. In this paper, we present robust DPD methods that can mitigate the effects of these uncertainties in the array manifold. The proposed technique is related to the classical auto-calibration procedure under the assumption that prior knowledge of the array response errors is available. Localization is considered for the cases of both unknown and a priori known transmitted signals. The corresponding maximum a posteriori (MAP) estimators for these two cases are formulated, and two alternating minimization algorithms are derived to determine the source location directly from the observed signals. The Cramér-Rao bounds (CRBs) for position estimation are derived for both unknown and known signal waveforms. Simulation results demonstrate that the proposed algorithms are asymptotically efficient and very robust to array model errors.

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“…In the article "Performance analysis for time-frequency MUSIC algorithm in presence of both additive noise and array calibration errors" [3] Mohamed Khodja et al present a comparative analytic performance analysis of the Time frequency MUSIC algorithm that uses STFDs with respect to the conventional MUSIC algorithm that uses the data covariance matrix when the received array signals are subject to calibration errors in a non-stationary environment. An unified analytical expression of the direction of arrival (DOA) error estimation is derived for both methods.…”

Section: Specific Advancesmentioning

confidence: 99%