A new approach to array interpolation by generation of artificial shift invariances: interpolated ESPRIT

Buhren, M.; Pesavento, Marius; Bohme, J.E.

doi:10.1109/icassp.2003.1199904

Cited by 21 publications

(13 citation statements)

References 11 publications

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“…Such prewhitening would destroy the shift invariance properties necessary for the standard ESPRIT algorithm [14]. Array interpolation techniques that allow the application of a modified ESPRIT algorithm have been proposed in [15] and [16]. These techniques do not require the prewhitening step, thus allowing the direct application of the ESPRIT algorithm.…”

Section: Introductionmentioning

confidence: 97%

“…The proposed approach avoids the out-of-sector response problems [11], [12] and allows to jointly estimate the DOAs of all impinging signals, while for the sector-by-sector processing for each sector a DOA estimation has to be performed, cf. [8], [9], [10] , [11], [12], [15], [16]. Afterwards the VIT can be applied and followed by a second application of ESPRIT an additional gain of approx.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A signal adaptive array interpolation approach with reduced transformation bias for DOA estimation of highly correlated signals

Marinho

Antreich

Costa

et al. 2014

2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

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Sensor arrays with Vandermonde or centro-hermitian responses cannot always be constructed. However, such array response structure can be achieved by means of a mapping which transforms the real array response to an array response with the desired properties by applying array interpolation algorithms.In this work a low-complexity, multi-sector, signal adaptive array interpolation approach that achieves low transformation bias in the presence of highly correlated signals is presented. Estimation of Signal Parameters via Rotational Invariance (ESPRIT) algorithm with Forward Backward Average (FBA) and Spatial Smoothing (SPS) as well as model order estimation is applied after array interpolation in conjunction with the Vandermonde Invariance Transformation (VIT) to obtain precise high resolution estimates in closed form. A set of numerical simulations show that the proposed approach provides precise estimates for arbitrary array responses in highly correlated signal signal environments.

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Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

A signal adaptive array interpolation approach with reduced transformation bias for DOA estimation of highly correlated signals

Marinho

Antreich

Costa

et al. 2014

2014 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

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“…By using the interpolated virtual antenna array [1,2] proposed by Friedlander we can increase the array freedom, process the interferers whose number is more than the number of real array elements, and we can also realize the transformation between different array geometries, apply many excellent algorithms specially aiming at the array with Vandermonde manifold on the real irregular array, such as MUSIC algorithm [3], spatial smoothing algorithm [4], etc. However, there exists angle sensitivity problem in the interpolated virtual antenna [5]: when the direction of arriving signal is beyond the transformation areas, the transformation error will increase rapidly, the virtual transformation performance will decrease obviously; besides, if transformation area is over large, even within the transformation area the performance can not be guaranteed, it will get much worse out of the area.…”

Section: Introductionmentioning

confidence: 99%

Adaptive beamforming method for arc length based virtual antenna array

Guo

et al. 2011

IEEE iWEM2011

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There exists angle sensitivity problem in the interpolated virtual antenna array proposed by Friedlander, the representative method solving this problem is multi transformation areas approach, but via this approach it will bring combined error ulteriorly, furthermore, it is unease to inhibit burst interference. In this paper, we introduce arc length based virtual antenna design method into adaptive beam forming, it allows virtual transformation in the whole array scanning area and moreover, it can suppress burst interference. The validity of our method is verified by computer simulation results.

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“…Apart from the interpolated array and Davies array, Bührens et al [17] recently proposed another virtual array which, like the Davies array, has no physical interpretation. The steering vector of Bührens' array is also not Vandermonde though it is shift invariant to enable application of the ESPRIT DOA estimation algorithm.…”

Section: Transformations For Nonideal Uniform Circularmentioning

confidence: 99%

Transformations for nonideal uniform circular arrays operating in correlated signal environments

Lau

Leung

Liu

et al. 2006

IEEE Trans. Signal Process.

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Abstract-The Davies transformation is a method to transform the steering vector of a uniform circular array (UCA) to one with Vandermonde form. As such, it allows techniques such as spatial smoothing for direction-of-arrival (DOA) estimation in a correlated signal environment, developed originally for uniform linear arrays, to be applied to UCAs. However, the Davies transformation can be highly sensitive to perturbations of the underlying array model. This paper presents a method for deriving a more robust transformation using optimization techniques. The effectiveness of the method is illustrated through a number of DOA estimation examples.Index Terms-Correlated signals, direction-of-arrival (DOA) estimation, quadratic semi-infinite programming, robustness, uniform circular arrays (UCAs).

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A new approach to array interpolation by generation of artificial shift invariances: interpolated ESPRIT

Cited by 21 publications

References 11 publications

A signal adaptive array interpolation approach with reduced transformation bias for DOA estimation of highly correlated signals

A signal adaptive array interpolation approach with reduced transformation bias for DOA estimation of highly correlated signals

Adaptive beamforming method for arc length based virtual antenna array

Transformations for nonideal uniform circular arrays operating in correlated signal environments

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